diff --git "a/data/dm_maths/full_data/11014_11255.jsonl" "b/data/dm_maths/full_data/11014_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11014_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (1 + 2 - 1)*(t**2 + 0 + 0) - 126815*t + 2*t**2 + 63482*t + 63463*t.\nAnswer: 4*t**2 + 130*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-nine quarters of a meter?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-50)\/4*1\/((-2)\/8). Let h = -46 + r. Find q, given that -40 - 20*q + 6 - 3*q**2 - 14 - h*q = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4095.014l?\nAnswer: 4095014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1019.43 + -1020. Let z = 1725209.5700226 + -1725209. Let c = u + z. Round c to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (17 + 1 - (-80 + 50))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.00045904272 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 34*t**3 + 238*t**2 + 3. Determine n(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/4*(-17)\/(510\/(-40))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*k**2 + 0)*(-26*k**2 + 100*k**2 - 46*k**2 + 5).\nAnswer: 56*k**4 + 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000028085233 to 6 dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 37*q**3 + q**2. Let h be u(-1). Let x = h + 60. Suppose -s + d = -5*s + 37, 0 = 3*s - d - 19. Calculate the highest common divisor of x and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 95654, 3 in decreasing order.\nAnswer: 95654, 10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -304 + -1?\nAnswer: -305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164127511?\nAnswer: 9851, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5280839*y**5 + 587225*y**2 - 4*y wrt y?\nAnswer: 316850340*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66 or -4?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34 and 194.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*i**2 + 199383*i\/2 - 29907\/2.\nAnswer: -(i - 9969)*(20*i - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12488)\/(-446) - 1950\/69.\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105259795?\nAnswer: 5, 73, 288383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 11) to base 15\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25780*i**2 - 51558*i**2 - 2654*i + 25781*i**2 to the form b*i**2 + x*i + n and give x.\nAnswer: -2654","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.3, -1\/5, 4516339?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-18 + -1 - 13736\/(-1360)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 + 20. Let a be ((-2)\/s)\/(10 + -9). Which is smaller: 0 or a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - (24\/(-4))\/(-18). Which is the smallest value? (a) q (b) -5 (c) -1 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, c: 2, v: 3}. Give prob of sequence ppv.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 14, 21, 28, 35, 42?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*j**5*l*r**3 + 5213*j**5 + 19*j**2*l*r**2 + 11*j*r**3 - 3*j*r + 5*l*r**3 wrt j.\nAnswer: 600*j**2*l*r**3 + 312780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1817 + 25383\/14. Find the common denominator of 113\/40 and h.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -1, 23.1 in ascending order.\nAnswer: -1, 23.1, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.238028 to 3 decimal places.\nAnswer: -0.238","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 5:58 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 - -73. Suppose 0 = c*p - 7*p + 132. Let v = 27 + p. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 5 - 29. Let q be (-519)\/k*4\/6. Let j = q - 283\/6. What is the common denominator of -38\/11 and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 698\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2*k**2 - 79*k - 54. Calculate the smallest common multiple of p(-33) and 125.\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -323 + 323.382. Let r = 0.348 + f. Which is the second biggest value? (a) 3 (b) r (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2. Let u(a) = 52*a**2 - 21013*a - 4. Give u(t(l)).\nAnswer: 208*l**4 - 42026*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7*l**2 + 2*l - 2. Suppose 0 = 5*p, -2*x - 3*x = 5*p - 5. Let f be 3\/x + 15\/(-3). Give t(f).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 - 36*l**2 + 4*l**2 + 10 wrt l?\nAnswer: -64*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + -0.14329136?\nAnswer: -0.24329136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1412 + 1417. What is the third smallest value in a, -0.07, -60, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1952 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 323*g - 16 + 7 - 313*g - 13. What is the least common multiple of 30 and p(4)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, n: 3, p: 6, d: 1}. Give prob of sequence npp.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 19668*f**2 - 5514495*f + 395227950.\nAnswer: -3*(f - 6266)*(f - 145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 131*l - 60*l - 68*l + 14. Let z be k(-4). Solve r - m = 0, 9 = z*r - 2*m - 3*m for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -232*y - 1681 = 871. Let r(k) = -15*k - 161. Determine r(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 56*c - 521 + 1634 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108284365 is divided by 12031596.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 6*b - 2*b - 8, 12 = 3*x + 2*b. Let h(p) = p + p**2 - 4*p**2 + 0*p**3 - 4 + p**3 - 3*p. Let l be h(x). Solve -5 = z + l*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 5 = 3*h, -3*h - 14 = d - 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 344715 and 1295?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 917 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes before 1:47 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5753, -5623, -5443, -5231, -5005?\nAnswer: -4783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(2736) - sqrt(2736).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 528837 a multiple of 899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -6. Sort 1\/2, -0.1, b in ascending order.\nAnswer: b, -0.1, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 34469100, 68938200, 103407300, 137876400, 172345500, 206814600?\n\"Answer: 34469100*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*l - 120420 + 745989 = 0. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-450)\/(-250)*22\/18?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 577 + 378. What are the prime factors of z?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1969, 1964, 1959, 1954, 1949, 1944?\n\"Answer: -5*f + 1974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -30. Solve 3*a + 4*w + 9 = 0, -3*a - w + 12 = -z*w for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*h + 206868, -f + 51709 = h - 0*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 38*z**2 + 11*z - 48. List the prime factors of i(3).\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 16*i**2 - 16*i + 22. Let k be g(-17). Solve 4*c = 4*o + 20, -4*o + 0*c - k*c = 2 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 8844459 in decreasing order.\nAnswer: 8844459, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14\/9 (b) 5 (c) -0.3 (d) 1 (e) 0.57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18001 or -15897?\nAnswer: -18001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 30108318 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 9 = -41 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/14 + 126\/98. Let v = 10\/227 - 1524\/24289. Are a and v non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 20*s**2 + 174*s + 288.\nAnswer: -2*(s - 16)*(s + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17880863?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -364*w - 373*w + 736*w + 19 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31 divided by -4419\nAnswer: -31\/4419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6210 to the power of 1\/2, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12169963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -4 + -9 + 3 - 8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33096 is divided by 561?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 1 + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 619773 - 11771110\/19. Let i = 241 - o. Let r = -23\/38 + i. Which is the second smallest value? (a) r (b) -3 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, 69, 0.061 in decreasing order.\nAnswer: 69, 0.061, -4\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*b = -14, 2*b = -3*k - 37 + 11. Let g be (-138)\/414 + (-17510)\/3. Is (k\/(-2))\/((-39)\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176.94312 nanoseconds to minutes.\nAnswer: 0.000000002949052","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 + 78. Let v = d - -32. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = -l + 6, 2*t - 14 = -2*l. Suppose -14*o = l*o - 980. What is the greatest common divisor of o and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 936, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86702579.\nAnswer: 79, 1097501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 648.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28 - -25. Let b be (f\/4)\/(1\/4). Let w(v) be the third derivative of v**6\/120 + v**5\/20 - v**4\/6 - v**3\/6 + 11*v**2. What is w(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1408859, 1408887, 1408921, 1408961?\n\"Answer: 3*w**2 + 19*w + 1408837","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.00524604?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 78*s + 2*s**2 - 7382*s**3 + 49*s.\nAnswer: -7382*s**3 - s**2 - 29*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, w: 4, f: 1, p: 1, r: 3}. What is prob of sequence pwiw?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6\/137 - 244\/685. Which is the second biggest value? (a) -0.01 (b) -3\/2 (c) -5 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -287, 4, 1, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**5\/12 + 135*r**2. Let q(s) = 42*s. Calculate q(z(k)).\nAnswer: 210*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-189792)\/(-49425)*(-15)\/(-6)?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10211221 (base 3) to base 12.\nAnswer: 175a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42043243121 + -10?\nAnswer: 42043243111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7541, 4, 0, 5 in decreasing order.\nAnswer: 7541, 5, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*j + 2*j + 0*j)*(12*j - 52 - 8*j - 9) + (3*j + 3*j - 5*j)*(j + 2*j - j) - j**2 + 3 - 3 as a*j + p*j**2 + k and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 213642 and 190346?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 16750000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 2.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8264 times 0.04\nAnswer: -330.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from owhoysyyy. Give prob of sequence sh.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 16, 4, -7 in descending order.\nAnswer: 16, 4, 1, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 138\/11 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -11221 (base 3) to base 14\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 - 12 = -11*q. Suppose -13*k - q*k = -7429. What are the prime factors of k?\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from xwwwxwfxwz.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p - 35. Let f = -9 + p. Let u be -1 - (-1)\/f*0. Sort -3, u, 3 in ascending order.\nAnswer: -3, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.044, -0.5 in descending order.\nAnswer: -0.044, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1125 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -477 or 73937?\nAnswer: 73937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = j - 5*m + 32, -9*j - 2*m = -7*j + 4 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*j**2*p*z**2 + 22*b*j*z**2 - 3*b*j + 14*j**2*p + 11*j**2*z**2 + 2*j*z**2 - p + 2*z**2 wrt j.\nAnswer: -2*b*p*z**2 + 28*p + 22*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4213 + 4181 = 4*a + 4*t, -t = -3*a - 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 47140008 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1841189.\nAnswer: 7, 83, 3169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 646.1 - -87097?\nAnswer: 87743.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 9, 1\/3, 0.3, 2\/13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/(5 + ((-3780)\/(-312) - 17)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-24) - (-215)\/(-24)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35, -4, -0.1, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 0.1 (c) 1 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 185*j**2 + 3121*j + 42. Calculate o(-17).\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7 and -3638.\nAnswer: 25466","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m + 34. Let q be j(-7). Let i(d) = -d + 14. Determine i(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {e: 3, y: 2, g: 13}?\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1320 and 195888?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -384478 - 13077*s + 13081*s + 384478.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/3))**(1\/23)\/((c*c**7)\/(c\/c**1)))**21 assuming c is positive.\nAnswer: c**(-3857\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-12) + (-290)\/(-8). Suppose -2*y + 118 = -b. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39745 - 20449. Calculate the highest common factor of 96 and p.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61.1991046 - -256.800903. Let o = j + -318. What is o rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13.5 + 9.5. Which is the smallest value? (a) -5 (b) 0.14 (c) -1\/10 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.3, -139 in descending order.\nAnswer: -0.3, -5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -363 + 4?\nAnswer: -357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 times 21206?\nAnswer: 742210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*w + 5*w - 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2. Let w(l) be the first derivative of 23*l**2\/2 + l + 6. Calculate i(w(z)).\nAnswer: -529*z**2 - 46*z - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49116997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**2 - 86 + m**3 + m - 2*m**3 - 87 + 178 to z*m**2 + i*m + n + w*m**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222 + -14?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 860*d**3 + 5 + 803*d**3 - 5*d**2 + 36*d - 1660*d**3. Let h(n) = n**3 - 2*n**2 + 18*n + 2. Determine 5*h(v) - 2*t(v).\nAnswer: -v**3 + 18*v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**3 + 13*i - 3. What is y(3)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.34 times 10.1?\nAnswer: 64.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 125.2624 * 22\nAnswer: 2755.7728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-12 + 8 - -6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 53536 and 448?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25721222\/5889 + 11\/1963. Let o = 78557\/18 + v. Calculate the common denominator of 32\/33 and o.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + i = 5*i + 7, 241*t + i + 3 = 240*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 - 1.4. Which is the closest to -3? (a) p (b) 2\/13 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(1\/16)\/((j**(1\/14)\/j)\/j) assuming j is positive.\nAnswer: j**(223\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1438?\nAnswer: 2, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/29892 - 287713\/74730. Find the common denominator of 15\/16 and g.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 377244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 8 - 28. Suppose 2*u + 0*u = -3*l + 16, u - v = -2*l. Solve u*i + 20 = -2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/8)\/((-18)\/(-24)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7812 and 24180.\nAnswer: 507780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 200 - 31*d + d**2 + 27 + 104 - 59 + 12. What is the tens digit of a(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3996 and 8.\nAnswer: 7992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 558 + 56 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 8*z = 3. Suppose 4*k - 12 = 4*q, 5*k - 2*q - z = -0*q. Sort -0.3, k, 0.08 in descending order.\nAnswer: 0.08, -0.3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + p)*(6*p - 3*p - 4*p) - 82*p**2 - 3*p + 43*p**2 + 34*p**2.\nAnswer: -6*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 14 = -z, 3*z = -4*l + 4*z + 19. Let t(j) = 17*j + 27. Is 3 a factor of t(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3596*w + 2*s = 3593*w + 2, 5*w + 4*s - 2 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 808, -6, -12\/11 in decreasing order.\nAnswer: 808, -12\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(192)*1)**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 464 = 4*q - 5*d - 840, 3*q = 5*d + 978. Suppose -4*y + q - 98 = 3*p, -4*y = 4*p - 224. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/144 and -37\/599512.\nAnswer: 10791216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -13 + 5 + (9 - (15 - 6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -60053.8813 less than -133974?\nAnswer: -73920.1187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1402 is divided by 46.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*2*sqrt(833) - (-2 + 2*sqrt(2448)))**2.\nAnswer: -40*sqrt(17) + 1704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = -10. Let u(g) = -11 - 6*g + p*g + 11. Let r(i) = -i. Give u(r(f)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 160297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 433?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjnjjyjujxyjt. Give prob of sequence ntu.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*i - 4. Let m(a) = 3*a - 4. Let r be m(i). What is the tens digit of (r + -1)*140\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q + 5159 = -13*q + 63*q + 28*q for q.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, l: 8}. Give prob of sequence llll.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of -14 + 9\/2*n**2 - 34*n. What is the tens digit of f(22)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 36\/59 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 2:21 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (52\/(-20) - -2) + 0. What is the nearest to 1 in c, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) 0.064 (b) -5 (c) -1.14 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n + 43. Calculate d(7).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, -3, -2, 33, 1, 4.\nAnswer: -3, -2, 1, 4, 33, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6160780695?\nAnswer: 3, 5, 89, 1459, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -989 - -988.78. What is the nearest to -2\/7 in z, 0.5, -0.4, 1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -333*a**2 + 9002*a. Let m(h) = -4*h**2. What is k(m(r))?\nAnswer: -5328*r**4 - 36008*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of q**8\/672 - q**7\/105 + q**6\/48 - q**5\/60 + 2*q**2. Solve t(x) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 3. Let c(x) = 2 - x + 4 + r*x. Let d(s) = -5*s - 5. Determine 3*c(j) + 4*d(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94 + -92. Solve s - w*s = -t - 9, 1 = s + t for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-37 - 18) + 21.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4399408, 4399409, 4399410, 4399411, 4399412, 4399413?\n\"Answer: z + 4399407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 290349377 + -0.15\nAnswer: 290349376.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, k: 1, y: 1, e: 2, p: 1, n: 1}. Give prob of sequence kepa.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k - 9. Let q be z(-9). Suppose 0 = -q*o + o - 2. Let w(t) = -t**3 - 3*t**2 + 5*t + 7. Calculate the remainder when w(-4) is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d + 4128 - 14560 = 0. What are the prime factors of d?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0033377 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5 = -4*l, 7*l + 15 = 2*l + 3*y. Suppose 0 = 5*a - 4*w - 100, l = 2*w - 0*w + 10. Calculate the highest common factor of 80 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence otw when three letters picked without replacement from qwtqhqo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.04 + 0.36. Let l = -0.2 + v. Let p = -0.7 + l. Which is the third biggest value? (a) p (b) -0.3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2308661*g**4*x**3 + 5*g**2*x**3 + 107547*g*x**3 + g*x wrt g?\nAnswer: 55407864*g*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 120\/(-125))*95\/4. Let g = -1\/5 + c. Factor g*l**4 + 0*l + 3\/4*l**3 - 3\/4*l**2 + 0 - 3\/4*l**5.\nAnswer: -3*l**2*(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 309*l = 537*l - 2736 for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 + 9*t**2 - 40*t - 31. Calculate the remainder when 169 is divided by s(-12).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 - -53. Let f = -19 + u. Let a be (-3)\/(-10)*10\/f. Is 0.03 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(175)*1 - sqrt(175) - -2*sqrt(1008) - (-4 + ((sqrt(252) - (sqrt(252) + -1 - sqrt(252))*-3)**2 + sqrt(252) - sqrt(252))).\nAnswer: -257 + 60*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-211)\/4 + 3\/(-12). Let t be 4\/10 - s\/5. Suppose 3*h - t = 10. List the prime factors of h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 235ec1 - 7?\nAnswer: 235eba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r. Let k be f(-2). Suppose -b - k = 3. Let d be 2\/b - (-30)\/7. Put d, -4\/7, 0 in decreasing order.\nAnswer: d, 0, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 4*t = 18*y + 588, -5*y = 3*t - 1405. What is the highest common divisor of y and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1354 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -831, -835, -841, -849, -859?\nAnswer: -871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (151\/(72412 + 68))\/((-4)\/(-15))?\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes before 1:39 AM?\nAnswer: 2:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29082, -29021, -28960, -28899?\nAnswer: -28838","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (9 - ((159 - 20) + 3)) + 4?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50278 is divided by 446?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12.2 - 11.9. Which is the nearest to 4? (a) k (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39808793 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*y + 4*w, -3*y - w = 2*w - 15. Suppose 0 = -2*r - 3*g + 16, -6*r - 2*g + 14 = -y*r. Solve -3*s + 15 = 3*i - 6*s, r*i - 7 = s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.45 + -0.05. Let k be (-12)\/8*246\/4. Let r = -93 - k. Sort 3, s, r in increasing order.\nAnswer: r, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10836 - 10836. Put 46\/59, y, -4\/9, -5 in decreasing order.\nAnswer: 46\/59, y, -4\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1848 and 1056.\nAnswer: 7392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -216161942 + 1?\nAnswer: -216161941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of b**4\/8 + 17*b**3\/2 + 156*b**2 - 338*b + 202. Suppose h(s) = 0. Calculate s.\nAnswer: -26, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*o + 0*o = -75, -n - o - 16 = 0. Let y(h) be the second derivative of -31*h**3\/6 + 15*h**2 + h. Is y(n) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 + 12*y + 91. What is the remainder when 544 is divided by d(10)?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -114\/7 or -37?\nAnswer: -114\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -x + 20, -2*x + 5*b - 32 + 7 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -24 (b) -1\/2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 645*k**2 - 1927*k**2 + 643*k**2 + 638*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9390 divided by -6\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2626 - 170387?\nAnswer: -173124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 26 and 173955.\nAnswer: 4522830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o - 19*o + 16*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaataauaautataut. Give prob of picking 4 t.\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*k - 39. What is the common denominator of 4\/k - 312\/54 and 59\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17620*p - 52872*p + 17631*p + 17622*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0 + (-1 - 2 + 2)*(-1 - 1 + 4) + 0 - 7 + 5)*(-2*a + 3*a - 3*a - 1).\nAnswer: 4*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.6937844 to four decimal places.\nAnswer: 0.6938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.517502707 to 4 decimal places.\nAnswer: -17.5175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 1, -4, 3, -41 in increasing order.\nAnswer: -104, -41, -4, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g**4\/5 - 48*g**3\/5 + 18*g**2 + 48*g\/5 - 96\/5 = 0 for g.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -3, -0.04, -21 in decreasing order.\nAnswer: -0.04, -3, -21, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1302*w - 1302*w + 18*w**2.\nAnswer: 18*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -11*h**4 + 16*h**3 - 27*h**2 + 20*h - 10. Let q(m) = 10*m**4 - 17*m**3 + 28*m**2 - 20*m + 9. Let d(g) = 6*q(g) + 5*y(g). Let d(k) = 0. What is k?\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 125174808 by -187.\nAnswer: -669384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19.4 times -103.1\nAnswer: 2000.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2602?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17890122 - -17890576.98915. Let k = 455 - y. What is k rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-8)*(240\/(-25))\/24.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 12) to base 9\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 2)\/2 + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 23*d**2. Let o(j) = -38*j + 23*j + 40*j - 8*j + 29*j. Calculate o(k(f)).\nAnswer: 1058*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 PM and 6:57 AM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -37\/2*d**2 + 0*d - 14*d**3 + 30. What is the second derivative of m(a) wrt a?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1287)\/(-15) + 2240\/(-28000)*10\/(-4).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -15*(4\/(-50))\/(2\/10). What is the units digit of (-2 - (i + -7)) + 1110?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78643, -78640, -78637, -78634?\nAnswer: -78631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-10)*u*u*u**26*u)**(-42) assuming u is positive.\nAnswer: u**(-798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*c - c - 424 = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -l**5\/10 - l**4\/6 + l**3\/3 + l**2 + 6*l. Factor a(y).\nAnswer: -2*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 - 3.4. Let a be -3 - 5\/(-25)*0. Sort a, n, -3\/7 in descending order.\nAnswer: -3\/7, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (3 - 1) + -18 + (-35 - -73).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*x**2 - 63*x + 24*x + 3*x**2 + 39*x.\nAnswer: -65*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.124456909939+-0.88\nAnswer: -1.004456909939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/4069 and -74\/2817.\nAnswer: 36621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 4\/(-1932)*-10316. Let q = -4\/161 + n. Calculate the common denominator of q and -91\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*s - 4*i, 34 = 3*s + 4*i - 31. Calculate the least common multiple of s and 96.\nAnswer: 1824","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2426 - 1169 - k - 1156 - 2*k.\nAnswer: -3*k + 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 2363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(10*-2)\/(-4). Let h = v - -3. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119 + 23*x**2 - 119 - 3*x**2 - 9*x**2.\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2120182 or -1?\nAnswer: -1\/2120182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -656 = -2*f - 2*n - 658, -5*f + 3*n + 11 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2 - (13\/(-1) - -1). Let a be (-8)\/(-3)*(-54)\/(-24). Let o(w) = w**3 - 7*w**2 + 9*w - 8. Let i be o(a). What is the highest common factor of q and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -221, -236, -277, -356, -485, -676?\nAnswer: -941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (4 - ((-5 - -7) + 10)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 57 times 0.2\nAnswer: 11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 58 + -54. Suppose 2*g - 4*p - 10 = 8, -3*g - 2*p = 13. Let z be 40\/(-3)*(g + 3\/(-6)). Sort m, z, 5 in decreasing order.\nAnswer: z, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31*z**3 - 66*z**2.\nAnswer: 186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 44*q - 116. Give y(16).\nAnswer: -564","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2*d - 16 = 0, 2 = m - d - 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 5.28114 and -39?\nAnswer: 44.28114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, v: 1, a: 2}. Give prob of sequence aov.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63639*v + 127378*v = 63680*v + 708 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)*5*4)\/(sqrt(200)\/sqrt(10) + sqrt(5)).\nAnswer: 20*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 204116 or 204117?\nAnswer: 204117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 663 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 7 + 7)*(-46*j - 56 + 56).\nAnswer: -138*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 2809.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 730074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24, -219, -760, -1821, -3576, -6199?\n\"Answer: -29*l**3 + l**2 + 5*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 4. Suppose 14 = -6*t - 4. Calculate l(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -803, -1541, -2279, -3017, -3755, -4493?\n\"Answer: -738*t - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 3*u + 3*j = -12, 5*u + j - 8 = 0. Suppose 0 = -i + u*i - 37. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 17*b + 36. Let z be s(6). Let j = z + 6. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y + 10. Let d be 4\/y + 114\/10. Let l(n) = 9*n**3 + 2*n**2. Let h(m) = 5*m**3 + m**2. What is d*h(u) - 6*l(u)?\nAnswer: u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -278?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20741.\nAnswer: 7, 2963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4627177.\nAnswer: 4627177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1136 - 6?\nAnswer: -1143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*h + 93 = -0*h - 35 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.665 rounded to 1 dp?\nAnswer: 32.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 5*y + 10, -l + 0*y + 4 = -2*y. Suppose 8 = 2*t, l = -0*p - p + 5*t - 21. Let i be (-52)\/48 + p\/(-3). Which is greater: 1\/4 or i?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 423 in 0, 3, -15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -57*s**6\/10 - 9*s**5\/20 + 5*s**4\/12 - s**3\/6 - 2625*s. Find the third derivative of w(k) wrt k.\nAnswer: -4104*k - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 220201111120211?\nAnswer: -220201111120210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3870 by 30.\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2 - 1. Calculate j(-4).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92049647.\nAnswer: 92049647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 1099806 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 25*n - 41. Let j be t(2). Suppose 13*s = 14*s + j*y + 5, -4*s + 43 = -y. Solve s = 4*k - g - 6, -5*g = -4*k + 32 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -211*i**2. Let v = 729 - 667. Let l(r) = v*r + 61*r - 189*r + 68*r. What is l(m(t))?\nAnswer: -422*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/6 and (-1904)\/(-624) - 3\/(-9).\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-26) + (-8358)\/(-91). Suppose -5*p + 275 - c = i, i = -2*p + 72. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 11) + (-6 - -10 - -2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three tenths of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3845 - 3843.3. Which is the biggest value? (a) -1 (b) -0.3 (c) r (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 + -40 + (-9 - -13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -2.9. Let m = l + 0. Let r = 448.64 - 467.64. Which is greater: m or r?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*k = 960 + 275. What are the prime factors of k?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mzz when three letters picked without replacement from {z: 5, x: 2, s: 8, m: 1, r: 3}.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwt when three letters picked without replacement from tthhwwhjhwwhlhwhhw.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -968646.02 rounded to the nearest one hundred?\nAnswer: -968600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/16, 2\/31, 0.5, 3, 18 in increasing order.\nAnswer: -1\/16, 2\/31, 0.5, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 29. Let d be a(-22). Calculate the highest common divisor of 77 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2301 is divided by 1110?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29010?\nAnswer: 2, 3, 5, 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 80737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 14*t**2 - 14*t + 17. Let m be d(-15). Let h be 2\/m*(-3 - (5 + -8)). Suppose -5*n + 352 + 283 = h. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 29633, 29711, 29787, 29861, 29933?\n\"Answer: -z**2 + 81*z + 29553","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 43?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.95 + 4. Let z = 4 - 3.75. Let u = r - z. What is the second biggest value in -1\/2, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.5 and -2.5?\nAnswer: 8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5073?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6084)\/7605)\/(14\/20)\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbb when three letters picked without replacement from {b: 3, z: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35801.99985 - -35799. Let g = u - -3. What is g rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12726 is divided by 255?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*i - 76*i - 17 = -2*c, 8 = 5*c - 4*i for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 1. Let a(n) = 6*n + 15. Let q(z) = a(z) - 4*i(z). Let k(m) = m**3 - 21*m**2 - 2*m + 48. Let g be k(21). What is the units digit of q(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9922, -2435, 5052?\nAnswer: 12539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-21)\/28)\/((-119)\/5168*12) and 53\/9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - -13983?\nAnswer: 13988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n - 1. Let o(r) = 2*r + 29. Let f be o(-13). Let u(j) = -1. Let x(h) = f*u(h) - 3*y(h). Let l(s) = -5*s. Determine -5*l(a) + 3*x(a).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 x when four letters picked without replacement from xjjjxjjjxajaxa?\nAnswer: 20\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1379879?\nAnswer: 1379879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = 4*u + 271 - 185, 0 = 5*r + 12*u + 313 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -466 + 461. Let l be v\/((-6)\/12*2). Solve -5*g + 4*b = -16, 0*g + l*g + b = -4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o - 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 517*g - 293*g - 442*g + 8923 = -17455 for g.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1197\/2 + 601. Suppose -z - 6*z**3 - 9\/2*z**2 - s*z**4 + 0 = 0. What is z?\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7134128 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.22399928 - -0.224. Round q to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 5 + 5\/(-1). Which is the nearest to l? (a) 3\/5 (b) -1\/3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 140 or -293?\nAnswer: 140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/4*0)\/(-1). Let n = 3 - k. Factor -j - 2*j**4 - 4*j**2 - 2*j**4 - j**5 - 7*j**3 + j**n.\nAnswer: -j*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 331 - 326. Let c(b) = 5*b**3 - 8*b**2 - 4*b - 6. What is the hundreds digit of c(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214440103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 2*p. Let v(o) = 27259*o**2 + 9*o - 1. Give q(v(u)).\nAnswer: 54518*u**2 + 18*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**2 - 2*p. Let t = 472 + -470. What is v(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.871612cm?\nAnswer: 8.71612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1945090, 3890174, 5835258, 7780342, 9725426?\n\"Answer: 1945084*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -3*y - 7, -f + 2*y - 5*y - 8 = 0. Let z(k) be the third derivative of 71*k**4\/3 - k**3\/2 - 6*k**2. Is z(f) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1213596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27348.111us to hours.\nAnswer: 0.0000075966975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/(-14)*44\/80*5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 - j - 4. Let t be k(0). Let w = 74.13 + -76. Let r = w - 0.13. What is the third smallest value in t, 2, r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -k**3 + 14947473*k**2 - 4861031 wrt k?\nAnswer: -3*k**2 + 29894946*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*d**2*k*w**2*y - 6*d**2*w**2 - 35*d*w**2*y - 3*d*w**2 - 5*d*w*y + 247*k**2*y - 2*k*y - w*y wrt k.\nAnswer: 16*d**2*w**2*y + 494*k*y - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 399695 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + ((-2700)\/(-70))\/15 + (-3)\/(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 18*a**2 + 111*a - 12. Determine w(-6).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2862 and 87642.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 10513 - 9773 = 0. Calculate the greatest common divisor of j and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-143)\/((-44)\/4))\/1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -5, 51, -10, 0.5?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2003\/7 + 289. Let w = x + -18\/7. Factor -20\/7*l**2 - 2\/7 - 10\/7*l**4 - 10\/7*l - w*l**5 - 20\/7*l**3.\nAnswer: -2*(l + 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + h**2 - h**2)*(-11 + 82 + 7)*(0*h - 2*h**2 + 0*h).\nAnswer: 468*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*w**5 - 54*w**5 + 2*w**5 + (-3*w**2 - w**5 + 3*w**2)*(-4 + 3 - 1).\nAnswer: -64*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -198, 0, -2, -9, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0, -1\/5, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**3 - 68*v**2 + 222*v.\nAnswer: -2*v*(v - 3)*(v + 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14\/89 in 21, 2\/15, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x = -4*x - 2790. Calculate the highest common factor of x and 2883.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/56 + 54\/7. Let n(t) = 3*t**2. Calculate the remainder when n(-3) is divided by 24\/(-32) - (-126)\/h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 34, -34, -3 in descending order.\nAnswer: 34, 9, -3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 36392 divided by -2\nAnswer: -18196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 283080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -71 + 71. Let k(w) be the first derivative of 4 + 0*w**3 - 1\/4*w**6 + 0*w**4 + z*w**2 + 0*w + 3\/10*w**5. Find h, given that k(h) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 245252\/59 and 4156 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 s when two letters picked without replacement from ojsuouurgoug.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(34) + 4*sqrt(1224))\/(sqrt(242)*-2 + sqrt(242)) + -3.\nAnswer: -25*sqrt(17)\/11 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 797905?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41593054, -41593053, -41593050, -41593045?\nAnswer: -41593038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11079, 16861, 12049, -8655, -50549, -118931?\nAnswer: -219099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 1 + (121 - (-25 - -104))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 3*b = -2220, 5*c + 4*b + b - 3740 = 0. Suppose 2*u + 3*u - 756 = -4*a, -4*a - 2*u = -c. What are the prime factors of a?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3151 and -20?\nAnswer: 63020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 319\/(-580) - 8\/(-10). Suppose -2*w + w + u = 0, 0 = -3*u. Suppose 3*s = -1 + 13. What is the closest to n in 0.4, s, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.868 and 0.1?\nAnswer: 0.0868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 6*m + 2. Let q be x(8). Let l be (-12 + 0)\/4 - q. Find the third derivative of -l*d**5 + 14*d**2 - d**5 - 2*d**5 wrt d.\nAnswer: -840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -102 = -15*l - 12. Suppose 15 = -l*x + 3*x. Let u(h) = 21*h + 56. Let j(m) = -2*m - 5. Give x*u(p) - 56*j(p).\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + 0.27. Let v = -37 - -34. Let d = v + 10\/3. Is m at most as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 161 + -21. Let c be k\/63 + (-4)\/18. Which is smaller: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -2*b**2\/13 - 22*b\/13 - 56\/13 = 0.\nAnswer: -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 28 - (-13 + (-2 - (-12 + -14)) - -2)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 542, 527, 474, 359, 158, -153, -598?\n\"Answer: -4*i**3 + 5*i**2 - 2*i + 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11.77316014 - 24.9268375. Let x = r - -36.7. Round x to 6 dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 k when four letters picked without replacement from xkkxbkx.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5054, 20272, 45590, 81008?\n\"Answer: 5050*p**2 + 68*p - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -505*w - 102*w - 108 - 424*w + 99*w - 297 wrt w.\nAnswer: -932","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 - 23 - (44 + -52).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-266)\/(-5) + 5751\/3195. Solve -698*k - d = -687*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3654 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 26 - 104?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81 and 166509?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1896.12 micrograms to milligrams.\nAnswer: 1.89612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/87*(-5)\/15.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 18. Let b be k(16). Is 6\/(-2) - ((-1688)\/b)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61 = -19*i - 99 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 264699 and 76.6?\nAnswer: 264622.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45*f + 97 - 42 - 54 to p + a*f and give a.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2673497.4 months to years.\nAnswer: 222791.45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*n + 357*n = -30 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 8 + 6. Solve -j = x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 109089710?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (1528 + 2)\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 133*p - 3187. Let j be k(24). Solve -o = j*o + 18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 1\/2 (b) 301 (c) 32 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 3 = -11*a. Let r = -45.3 - -45.6. What is the third smallest value in r, -0.006, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.374, -3, 3, -0.3, -0.05?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68879 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 249 and 71131.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4\/3 + 680*g**3 + 553724*g**2\/3 + 5699080*g + 140482322\/3.\nAnswer: 2*(g + 17)**2*(g + 493)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*x + 21 = -24*x. Solve -4*h + 1 = 5, -2*w - x*h - 13 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmky when four letters picked without replacement from mymkmkkmckkkmkkm?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 22*t - 3. Let a(u) = -1. Let f(j) = 6*a(j) - o(j). Calculate the remainder when f(-3) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*a - 16990 = 0, 4*o = -126*a + 122*a + 34040. What is the tens digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 178424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 140349389 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-31*(-20)\/4340)\/((-3)\/(-189))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c + 6 = 3*c. Let w be (-646)\/95*5\/c. Suppose 4*f - 2*s + 7*s = w, 0 = -5*f - 4*s + 19. Solve -5*t + 23 = -t - f*v, -v = 4*t - 19 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7338773371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, 16, 4 in decreasing order.\nAnswer: 16, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4b8290 (base 12) to base 4\nAnswer: 10232022030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 44*i**2 - 166*i - 177. Calculate d(40).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 3 - 7. Let z = 8 - t. Sort -3, -5, z.\nAnswer: -5, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8066, 9634, 12254, 15932, 20674, 26486, 33374?\nAnswer: 41344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 4:23 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -4*v**3 - 2*v**2 - 5*v + 1. Let y(u) = -369*u - 375*u + 9*u**3 - 381*u - u**2 - 2 + 6*u**2 + 1136*u. What is 5*i(a) + 2*y(a)?\nAnswer: -2*a**3 - 3*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(18) + sqrt(216)\/(sqrt(24)\/sqrt(2)) + sqrt(18))\/(sqrt(18)\/sqrt(2)*3))**2*-4.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 204 = -5*k, -15*k = 9587*s - 9588*s - 52 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1195?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*u - 1496*u + 401*u + 405*u + 410*u - 2.\nAnswer: -5*u - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-4) - 4633\/(-4068) - (-10)\/(-45)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -37.61188 to 0 dps.\nAnswer: -38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10540 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 - 4*m + 6. List the prime factors of b(4).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1033 and -78?\nAnswer: 1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2460 - 1632. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-87165)\/(-27) + (-1)\/3. Let u = 71003\/22 - g. What is the common denominator of u and 143\/(-20) - (-1)\/1?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1248892 and 31534523.\nAnswer: 126138092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 310\/1170 - (1\/9)\/1.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-81)\/(-243))\/((-10)\/(-12))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -143*l - 255. What are the prime factors of u(-7)?\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 3, g: 9, s: 4}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - x**2 + 3*x - 3. Suppose -4 + 1 = u. Calculate v(u).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 - 2)*(2*w**3 - 4*w**3 + w**3 + w**3 - 3*w - 2*w + 3*w + (4*w**3 + w**3 - 3*w**3)*(4 - 5 - 2)).\nAnswer: -6*w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 125731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/33 - 64\/(-11). Let w = a + -3. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26\/(-8))\/(30\/440 - (-14)\/77)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000852568 rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -43\/5, -7\/82, -34?\nAnswer: -43\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -0.3 (b) -2\/97 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 7*m - 2. Let b = 1035 - 1039. Let a(y) = -y. Determine b*a(w) - u(w).\nAnswer: -w**2 - 3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + i + 6 = 0, -24 = -5*p + 2*p + 5*i. Let u = 239\/4 + -59. Sort p, u, 0 in descending order.\nAnswer: p, u, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 11:36 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*y - 85991, -2*p + 3*p - y = 43003. Round p to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 16, -5*f - 5*t + 2*t = 3. Sort f, 0.4, -5, 27 in ascending order.\nAnswer: -5, f, 0.4, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*l**4*t + 53*l**2*t**3 + 2*l*t**3 - 3*l*t**2 + 126*t wrt l.\nAnswer: 180*l**2*t + 106*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 0*k - 2 + 0*k**2 + 1\/12*k**3. Factor n(s).\nAnswer: s**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153*l + 133*l = -240. What is the third derivative of 8*b**2 - l*b**2 - 128*b + 6*b**2 + 131*b**4 wrt b?\nAnswer: 3144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (37 - 22 - 40).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = 3*r, 5 = n + r + 4. Let z(h) = -h**3 - h**3 - 2 - 10*h**n + h**3. Suppose 0 = -3*d - f - 39, 12 = 4321*d - 4324*d + 2*f. Give z(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 7*x**3 - 5*x**3 - 6*x**3 + 12*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 152 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s + 71*b - 127*b = -616, 2*s = -4*b + 44 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88903 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in q + 8*q + 2*q + 0*q.\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 + -6. Let i be ((-2)\/d)\/((-1)\/2). Is i <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1292 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -42. Solve 16 = t*r + 3*q, -3 = -3*r - 4*q + 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*k + 3 - 3)*(2*k**2 - 3*k + 3*k) - 3*k**3 + k**3 + 3*k**3)*(0*k**2 - 4*k**2 - k**2).\nAnswer: 15*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9390520?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0011776292 to 5 dps.\nAnswer: 0.00118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x\/(x\/(x*x**(-5))*x*x))\/x)*x**(3\/5))**(-3\/5) assuming x is positive.\nAnswer: x**(-129\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16 (base 7) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -805066, -805067, -805068?\n\"Answer: -j - 805065","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 27*r**3 - 28*r**3 + 0.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*l + 14*l - 22*l)*(-3*l**2 + l**2 + 3*l**2) in the form k*l**3 + h + u*l**2 + w*l and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 + 14 - 14. Let s(a) = 2. Let h(j) = j - 1. Let l(x) = -2*h(x) - s(x). Give l(y(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85 - -25. Suppose r - 5*u = -107, -b = r - u - 11. Let f = r + 164. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -0.25631.\nAnswer: 17.74369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 266?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p**2 - 2. Let f(s) = -2*s**3 + 2*s**2 + 4. Let m(y) = -2*y**3 + 6*y**2 + 8*y + 5. Let w be m(4). Calculate w*h(q) + 3*f(q).\nAnswer: -q**3 + q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/4313 - 573605\/51756. Let l be 4\/18 - (-3998)\/684. Let f = l - -5\/1197. Find the common denominator of o and f.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hfnhjnhfjjjjjpjfhf. What is prob of picking 1 p and 3 h?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 9) to base 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/15 (c) -24\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 293280 is divided by 13305?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 252 and 420.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16003998?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -12*d. Let f(i) = -52*i + 12. Let w(y) = -7018*y + 1624. Let k(u) = -406*f(u) + 3*w(u). Determine k(p(h)).\nAnswer: -696*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/21 and -12\/229.\nAnswer: 4809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1748 and 1247?\nAnswer: 2179756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47.7398143 + 0.7409043. Let o = 45 - 92. Let l = o - n. Round l to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6938.5788 and -0.4.\nAnswer: 2775.43152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5168250, -5168444, -5168638, -5168832, -5169026, -5169220?\nAnswer: -5169414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67048?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 418 - -830. Is 53 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -493586000 divided by 98717200\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w + 4271*w**3 + 64065 - 63398 + 5786*w**3 - 5*w - 5*w wrt w.\nAnswer: 60342*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6787821 divided by -457?\nAnswer: -14853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + m + m + 6 = 0, -2*m = 2. Suppose -d - 4*t = 12, -q*d = -5*t + 3 + 3. Let j(o) = -28*o + 1. Is j(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 9 + 1. Let a = -761 - -764. Suppose -g*q = -a*q - 4. Solve 4*k - 5*k - 3 = -z, 0 = 5*k - q*z + 6 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y - 4. Determine m(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, -133, -424, -961, -1816, -3061, -4768?\nAnswer: -7009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 229*q - 224*q + 2*d - 25 = 0, 5*q - 25 = 3*d for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/32)\/((-10)\/(-8)*40\/200)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*m**3 - 868 + 868 + 4*m in the form t + r*m**2 + q*m + x*m**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 409585 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 8, l: 3, x: 1, j: 6, i: 1}. What is prob of picking 1 r, 1 i, and 1 l?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/(-15) - 97\/3. Let k = 24 + o. Let n = 56 + k. What is the remainder when n is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -20\/3*u**3 + 0*u**2 + 10*u - 1. Differentiate t(p) wrt p.\nAnswer: -40*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 4*m - 296*m**4 + 303*m**4 - 2*m**3 - 3*m + 0 to h*m + b + a*m**4 + n*m**2 + g*m**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -4*h**7\/7 + h**3\/6 + 3*h**2\/2 - 2*h - 28. What is the second derivative of r(a) wrt a?\nAnswer: -480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 3:11 AM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/11)*i*i\/i**(5\/4)*i)**18 assuming i is positive.\nAnswer: i**(1125\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 3548 - 240. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 25 - 8 = 2*q - 43*y + 39*y, -5*q - 38 = -3*y for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1, 5, -65447\/5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3336 + 19905 = 113*a + 150*a for a.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -8. Suppose v = -2*v + m. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*((-4)\/(-6)*3 - 8). Does 4 divide 8\/r*(6 + 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 411, 560, 961, 1740, 3023, 4936?\nAnswer: 7605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39578 is divided by 791.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -20, -3, 1\/75, 0.3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3969*y**2 - 10253*y**2 + 3317*y**2 + 3187*y**2.\nAnswer: 220*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 94. Let x = h + 14. Suppose -r - 490 = -2*s - 3*s, -5*s - x*r = -505. Is s a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 47?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259066 is divided by 61?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + (-3)\/((-12)\/1456). Suppose -2*p + t = -0*p. Is (-2)\/4 + p\/2 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.269128 rounded to 2 decimal places?\nAnswer: 6.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 15*y**2 + 9*y + 43. What is the tens digit of x(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -4*j - 24. Let s = 11 + j. Suppose -t = t - s*b + 605, -4*b + 608 = -2*t. Round t to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004904.7452 rounded to the nearest one hundred?\nAnswer: 1004900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 1323558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72\/55 - 419\/110. Which is the closest to -1.1? (a) 2\/3 (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 63*k - 58*k - 85. Suppose -k = -6*j - 5. Solve j*p - 5*r - 7 = 0, 4*p + 3 = -3*r + 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rgro when four letters picked without replacement from frgfrrogr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 722*d + 89127. Calculate o(158).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/10 and (-247)\/30 - 10\/15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 48, 33, 12, -15, -48, -87?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9028 + -6134. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-735)\/70)\/(1 + 2\/(-8)). Sort 4, 0.4, c, 3\/8.\nAnswer: c, 3\/8, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44.34437 micrometers to millimeters.\nAnswer: 0.04434437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/22 and 5\/(-10) + 33\/(-63)?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1034 - -605. Let g = 429.9 + f. Let p = 11 - 6. Which is the smallest value? (a) g (b) 2\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 217690 and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*i - 43*i + 2 - 3 - 78*i.\nAnswer: -162*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -203, -387, -609, -869, -1167, -1503?\n\"Answer: -19*n**2 - 127*n - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-32)\/80 + 194\/10?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -114 and -224.\nAnswer: 25536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20513 is divided by 10198.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 134. Which is smaller: o or 93?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 - -14. Let a = -49 - r. Let m = -19 - a. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -18, -2\/11, -0.1, 0.04?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/315 (c) 0.00731\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 0*u + 5*u + 8 - 2*u. Suppose -2*c = -b + 1, b = 3*c + 8 - 4. Let z be v(b). Is z > -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 12*t + 4 = -3*g, -15 = 5*g + 5*t. Let l(w) = 16*w**3 - 15*w**2 + 31. Let x(v) = 3*v**3 - 3*v**2 + 6. Give g*l(c) - 11*x(c).\nAnswer: -c**3 + 3*c**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.9138 + -3.95. Round g to 3 dps.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.016 and -1\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -362191*l**4 - 114870*l wrt l?\nAnswer: -4346292*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 8. Let t be 2\/h - (-434)\/21. Calculate the highest common divisor of 7 and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102701 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/5)*f)\/f**(-3)*(f**0)**(-1\/6) assuming f is positive.\nAnswer: f**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4838 and 826.\nAnswer: 33866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -156 - -1090\/7. Let x = 6 - 11. Sort x, -1\/5, w.\nAnswer: x, w, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3130 - 1122?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98197*l + 98201*l = 4*o - 36, 0 = l + o + 17 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(121) - sqrt(121)*-3) - sqrt(121))\/(sqrt(44)*2)*4.\nAnswer: 19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 4. Let k(o) = 2*o + 4. What is the units digit of k(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-240)\/(-160)*((-2)\/(-2))\/30?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/(-6)*(-4)\/(-2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.91 - 16.4. Let o = 0.625 - 0.015. Let d = j - o. Which is the biggest value? (a) d (b) 5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1705 and 31155?\nAnswer: 342705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0071766205 to six dps.\nAnswer: -0.007177","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - -0.1. Let p = -235.9 - -236. What is the smallest value in f, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197 - 28*i + 244*i - 46 + 3*i + 64.\nAnswer: 219*i + 215","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - d - 49 = -201, 0 = 5*j + 2*d + 190. What is the second biggest value in j, 2\/17, -0.4, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.689 + 0.03?\nAnswer: -22.659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20*(-713)\/310*(-2)\/4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x**2 - x + 4. Let i be p(0). Suppose -2 = 3*s + i, -m + 5 = s. Suppose -10 = -9*r + 4*r. Calculate the remainder when m is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*p**3 + 75*p**3 - 153*p**3 - 1637*p**2.\nAnswer: -2*p**3 - 1637*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80798 = -4*g - 2*w, -7*g = -11*g + 2*w + 80810. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s + 40. Let a(r) = 6*r - 60. Let p(w) = -2*a(w) - 3*j(w). Let q(t) be the first derivative of -t**2 + 2. Calculate p(q(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-37)\/7 + 12\/42. Let u(k) = 2*k + 3. Let v be u(-2). Let m be 5*-2 + v + 3. Sort i, m, 3 in descending order.\nAnswer: 3, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 50*i + 28. Let p(m) = 4*m**2 - 202*m - 111. Let b(s) = -4*p(s) - 15*q(s). Solve b(d) = 0 for d.\nAnswer: -3\/8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = -8, 0 = 270*c - 265*c - 4*y + 9 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-32)\/(-13) - (-9 - -13). Let p = -13 + 12. Is p greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + 4*b)*(4*b - 6*b + 4*b) + 192*b**2 - 2504*b + 2504*b.\nAnswer: 196*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -109063, -109147, -109231, -109315?\nAnswer: -109399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (5 - 5 - -4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**2 + 161*k + 12. Does 23 divide x(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r**2. Let s(z) = 243710*z - 8. What is s(i(w))?\nAnswer: 2924520*w**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -205714 by -2818.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 29, 16, 3, -10?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -2. Factor -18*u**4 + 0*u**q + 10*u**3 + 29*u**4 + 24*u**4 + 25*u**5.\nAnswer: 5*u**3*(u + 1)*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 257*k**2 + 216*k**2 - 42*k**2 + 269*k**2 + 234*k**2 as o*k**2 + j + x*k and give o.\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1097.18 + -1097. Suppose -2*t + z + 3 = 8, 5*t = z - 11. Which is smaller: t or u?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**3 + 6*h**2 + 2*h + 6. Let g(k) = -k**3 - k**2 - 1. Determine 6*g(b) + s(b).\nAnswer: -4*b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**3 - 3*m**2 - 3*m - 3. Suppose t - 3*r + 20 = 0, 3*r - 23 = 4*t + 21. Let h be 3\/(-1) - (t - -7). What is d(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*i + f + 123, 2*f = 2*i - 48. Let j = -28 + i. Let z(q) = 3*q - 1. What is z(j)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5785124200 to the nearest 1000000.\nAnswer: -5785000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2ddc12 (base 14) in base 16?\nAnswer: -189d28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 2*i**2 - 7. Calculate the remainder when 448 is divided by p(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -187, -3 in decreasing order.\nAnswer: -3, -14, -187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, t: 1, h: 2, s: 1, r: 1}. What is prob of picking 2 z and 1 s?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -239*b**2*o**2*s + 60132*b**2*o**2 - 2*b**2*o - b**2 + 10*b*o*s + 4*b*s - 726*o - s + 2 wrt o?\nAnswer: -478*b**2*s + 120264*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in fifty-one halves of a meter?\nAnswer: 2550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12899.99 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155\/792 - -1\/72. What is the nearest to 1\/5 in 0.5, f, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -66057*c + 908. Let o(p) = 218*p - 3. Let n(j) = -908*o(j) - 3*r(j). Let z(s) = 2*s**2. Give n(z(t)).\nAnswer: 454*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i + 55. Let x be q(0). Suppose -4*t = -5*y - 3*t + x, 0 = -y + 5*t - 13. What is the least common multiple of y and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -7.1. Let l = 2.7 + h. Let d = -0.4 - l. Put d, -0.5, 0 in decreasing order.\nAnswer: d, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1336 and 21928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6895.\nAnswer: 5, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 17617 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 44*(-2)\/6*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) - (sqrt(320) - (sqrt(320) - ((4*sqrt(320) - sqrt(320)) + -1 + sqrt(320)) - sqrt(320))))*6)**2.\nAnswer: -2304*sqrt(5) + 184356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of -p**8\/210 - p**5\/10 - 3*p**3 + 5*p. Let q(r) be the second derivative of c(r). Find the second derivative of q(m) wrt m.\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j. Let k(c) = -2*c. Give k(s(b)).\nAnswer: 10*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 + (1 - 19) + -111 + 118?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 21*b = 23520. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 5*p + 1, 0 = -3*u + 2*u - 5*p - 19. What is the smallest common multiple of 20*(-22)\/(-55) + 140 and u?\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04711? (a) -0.7 (b) 5\/4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 - 9\/2. Let s = 181\/798 - 8\/133. What is the second smallest value in 0.7, g, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2092885 divided by -5.\nAnswer: -418577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q - 3 = 0. Suppose -48 = -a - q*a. Calculate the common denominator of a and ((-10)\/(-45))\/((-33)\/30 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:18 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 52 - 6*z)*((-3 + 4 - 2)*(-2 + 2 - z**3) - 12*z + 12*z - 3*z**3).\nAnswer: 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(4\/(-2982))*-5519. Suppose -o - d = 571171. Round o to the nearest one million.\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.07140212 to three decimal places.\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 130 and 169?\nAnswer: 1690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.9734 + -20.9734. Which is the fourth smallest value? (a) 0.5 (b) u (c) 1\/6 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 1035400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqk when three letters picked without replacement from akqiiikkriiq?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 244 + 4?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -6*t**3 + 24*t**2 + 6*t - 8. What is j(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -36.99393 and 0.0494.\nAnswer: -36.94453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - z = -4*z + 8, 4*z = 16. Solve -i + 3 = u*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -25*a - 428. Give h(-17).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**2 - 6*g**3 + 5*g**3 - 4*g**2)*(3 + 5 + 2)*(0*g + g + 0*g).\nAnswer: -10*g**4 - 40*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7378 - 4*s**2 - 7342 - 17*s + 26*s - s**3.\nAnswer: -(s - 3)*(s + 3)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 23221.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = t - 2, u = 2*u - 2*t + 10. Suppose -156*g = -165*g + 774. Suppose -g*d = -88*d. Sort d, -3, 2, u in decreasing order.\nAnswer: 2, d, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1179, -9689, -32957, -78417, -153503, -265649, -422289, -630857?\n\"Answer: -1239*r**3 + 55*r**2 - 2*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -5*f + 1, -f = -j - 4*f - 1. Solve -j*n + 8 = -6*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wdw when three letters picked without replacement from nwnnwnddnddnnww.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-248)\/12*9\/2. Suppose 267 = -7*f - 139. Let s = f - d. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 4:25 AM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3483938729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -12*f - 33 - 29 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 22210005 (base 7) to base 10\nAnswer: 1918404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 205*w**3 - 6*w**2 - 8*w - 10. Calculate f(-2).\nAnswer: -1658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.5147 and 23?\nAnswer: -34.8381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - 5\/(-2))*(-156)\/585. Sort 5, 2\/7, -5, o.\nAnswer: -5, o, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1*j)**(-1\/2)*(j*(j\/j**(1\/10))\/j)\/j*j*(j**(-1)*j)\/j assuming j is positive.\nAnswer: j**(-11\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 2*m - 190, -3*z - 2*z + 239 = m. Suppose -82 = -13*i + z. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n + 14. Let t be h(-11). Suppose -3*m = -10*m + 35. Put t, 0, 1, m in decreasing order.\nAnswer: m, t, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 59, -0.5 in decreasing order.\nAnswer: 59, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 14276671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let g(x) = 495622*x. What is o(g(t))?\nAnswer: 495622*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -11 - x**3 + 23 + 6*x**2 - 12 as o*x**3 + c*x**2 + u + z*x and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*g**3*t**3 + 5*g**3 - 6*g**2*t**2 wrt t?\nAnswer: 204*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2*sqrt(833))*2.\nAnswer: -28*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, k: 1, a: 1}. Give prob of sequence al.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 41\/(-13))*(-2820)\/(-4230)\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-16)\/(-32))\/((-2)\/(-872)). Let t = 433\/2 - i. Which is the biggest value? (a) -4 (b) 20 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42700934063 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -148?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1891301641?\nAnswer: 1891301641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 10. Let f(m) = 3*m - 4*m + m**3 - 9*m**2 + 7 + b*m**3. Let y(u) = -4*u**3 + 8*u**2 + u - 6. Let l(c) = -5*f(c) - 6*y(c). Calculate l(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, r: 3, k: 4}. Give prob of picking 1 z and 1 k.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 429*h + 157*h - 19416 + 23518 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2711449.\nAnswer: 13, 17, 12269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 - -13. Let w = -289\/5 + r. Let v = 1.9 - 2. Which is the closest to -1? (a) v (b) 0 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, -16, 8, 6, 1.\nAnswer: -16, -7, -5, 1, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1979.169991 - -1979.34. Let c = -0.16 + -0.01. Let p = r + c. Round p to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 18*p**2 - p - 9. Let x be a(-18). Let b(o) = o**2 - 8*o - 6. Give b(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b28604 - -4?\nAnswer: -b28600","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4 = -6. Let c(w) = 4*w**2 - 10*w**o + 8*w**2. Let v(x) = 6*x - 3*x + 2*x. Calculate c(v(d)).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {w: 1, i: 3, j: 4, b: 3, y: 4, a: 5}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 31.023 - 0.023. Let d = i + -31.2. Let k = 3 - 2. Which is the second biggest value? (a) k (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*x + 8*x - x + 4 + 3*x.\nAnswer: 26*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -92*y + 327. Let z be v(3). Calculate the highest common factor of z and 4964.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2968330.\nAnswer: 2, 5, 296833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -410472\/5 or -82093?\nAnswer: -410472\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/15)\/(-6*2\/450)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 150. Let s(v) = 77. What is -3*h(z) + 7*s(z)?\nAnswer: 3*z + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 20. Suppose q = 2*a - 15 + 4, -4 = 2*q + v*a. What is the nearest to 11 in 1, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97 + 52 + 45 + 30394*d.\nAnswer: 30394*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66084058?\nAnswer: 2, 1123, 29423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the third derivative of -q**5\/360 + 13*q**4\/144 - 518*q**2. Factor b(x).\nAnswer: -x*(x - 13)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 4*n - 9*n - 7, m = 2*n - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 w when three letters picked without replacement from {w: 3, h: 17}.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -102587 greater than or equal to -102590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -1237589.1?\nAnswer: 495035.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6931 is divided by 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -0.0246, 7, -2?\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 534122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -3*y**2 + 7157*y - 57134. Give n(8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -0*o - 15. Suppose -6 - 14 = -2*h. Calculate the highest common divisor of h and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**2 - 32*k + 4. Suppose 22 = 17*p - 46. Let b be g(p). Solve -5*f = s - 16 - 1, 0 = -4*f + b*s + 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.771165423 to four decimal places.\nAnswer: 2.7712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1402197731?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 913 + -540. Let v = 222 - d. Let a = 149 + v. Which is smaller: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -135975, -136016, -136057, -136098, -136139, -136180?\n\"Answer: -41*m - 135934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7. Suppose 3*p = -k + 6*k + 17, 5*p - 4*k - 11 = g. Is 6\/13 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1990916 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -19*a. Let q(m) = 69729*m. Give i(q(v)).\nAnswer: -1324851*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -819.8 + 820. What is the nearest to -0.1 in 4\/3, -0.08, -16, l?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/105 + 54\/14. What is the least common multiple of c + -10*(-64)\/20 and (2\/(-4))\/((-1)\/2)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14935 (base 16) in base 2?\nAnswer: -10100100100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -33*j + 4. Let p be o(-2). Suppose 0 = -4*h + 6*h - 42. What is the greatest common divisor of p and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1408142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 3*q**2 + q - 6. Let l be m(3). Let x = -58 - -57. Which is the fourth biggest value? (a) -0.5 (b) 0.2 (c) l (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 6 - (-9 + 8 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67865251*t**5 + 91059524*t**2 wrt t?\nAnswer: -4071915060*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1338438 and 431?\nAnswer: 576866778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29528.\nAnswer: 2, 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-8))\/((-4)\/(6880\/129))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (128\/(-22) + -7 + 13)\/(-1). Put -0.057, -2, t in descending order.\nAnswer: -0.057, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -53575954733184 - -0.4.\nAnswer: -53575954733183.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29463471?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(2\/(-12)*-3). Let y be 1123 + 0*2\/b. Let j = -768 + y. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 12*v**2 + 28*v - 22. Give u(9).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 6 + 3)*(4*s - s - 5*s) + (3 - 4 + 2)*(5*s - 5 + 5) + 2*s + 2 - 2 + (2 - 6 + 3)*(716 - 716 + 190*s) to the form z*s + q and give z.\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65 divided by -295.\nAnswer: -13\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 77701880 rounded to the nearest 100000?\nAnswer: 77700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*p + p + 3*p)*(-2*p - 2*p + 5*p)*(0*p**2 + 2*p**2 - 3*p**2) + 25*p**2 - 5*p**4 - 25*p**2 as g + l*p**4 + b*p**2 + h*p + s*p**3 and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5693651659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72714124 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5214469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*b - 6 = -p, -p = -5*b - 17. Let y = 3104\/11 - 282. Sort p, y, 3 in decreasing order.\nAnswer: 3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -7185 and 0.\nAnswer: -7185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/2754 and -35\/22?\nAnswer: 30294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 65848\nAnswer: 5\/65848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 AM and 10:36 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z + 43. Let y be j(13). Suppose 3*s - y*d - 75 = -5*d, 0 = -4*d - 12. Which is greater: s or 5\/6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -13. Suppose 123 = -q*y + 147. Solve -y*j - 19 + 7 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((5\/15)\/(-1))\/((-1)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnw when three letters picked without replacement from {w: 1, n: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**3 + 1430*j**2 + 0*j**3 - 4029*j**2 + 2596*j**2.\nAnswer: -3*j**3 - 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.00488 - -46. What is o rounded to four dps?\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 k when two letters picked without replacement from eebehhkhnhb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.5 and -9521433242902?\nAnswer: 9521433242902.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 376360 to the nearest ten thousand.\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 4*j + 28. Suppose 4*s - 265 = 269*x - 264*x, -2*s + 146 = 2*x. What is the greatest common factor of j and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(1152))*-5 + ((sqrt(20)\/(sqrt(20)\/sqrt(2)) + -1)**2 - -4*(4 + 1*sqrt(2))).\nAnswer: -478*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus 0.5576297?\nAnswer: -1.4423703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663 = -0*b - 3*b + 2*i, 5*b - 1105 = -5*i. Suppose 0*y + 5*y - b = -2*u, -3*u + 2*y + 322 = 0. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 505 + (3 - -1*(1 + -4)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8059, 32133, 72283, 128521, 200859, 289309, 393883, 514593?\nAnswer: 651451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 5*o + 120000. What is o rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*i = 96*i + 1470 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(39875\/23142) - 32?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24552 - -54?\nAnswer: 25050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -50 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 25*d - 288 = 0. Suppose 5*g - 48 = d. Is 25 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2302\/3 + -750. Which is smaller: r or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 342207064 + -7?\nAnswer: 342207055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*n**2*q - 95229*n*q - 96607*q wrt n?\nAnswer: 4*n*q - 95229*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1105\/28 - -159\/4. Let j be (-45)\/(-18) - (0 - -2). Which is the second smallest value? (a) -0.1 (b) j (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -8, -34*u = -33*u + 5*h + 175. Is -150 at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21415993*q*s*z + 2*q*z + 4836121*s*z - 2*z - 3 wrt q?\nAnswer: 21415993*s*z + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2247180, 4494361, 6741540, 8988717, 11235892, 13483065?\n\"Answer: -v**2 + 2247184*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p - 10. Let r(k) = 3*k + 11. Let n(j) = -3*r(j) - 4*u(j). What is the remainder when n(-7) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10) - ((-264)\/30 + -6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 1086667?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.4 from 10030961825344.\nAnswer: 10030961825344.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + -10350420254?\nAnswer: -10350420244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 3:11 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28785 or -10?\nAnswer: 28785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 5. Let i = 2 + 1. Suppose i*k + 5 = -c + 2*k, 3*c + p = 3*k. Let o(d) = -d**2 - 2*d - 3. Determine o(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10100 + 10637. Solve -x = 536 - b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/8*2\/(-6). Suppose u + 7 = 3*h, b = -2*u + h + 2. What is the second derivative of -6*w + 5*w - 4*w + u*w**3 wrt w?\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883471.7m to kilometers.\nAnswer: 883.4717","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12 and 3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + v + 1. Let w be q(-1). Let g be (3 - -2)*w\/1. Solve -5*j = 5*k, 4*k + 4 = -g*j - 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 25946, 25945, 25944?\n\"Answer: -c + 25947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 18*w**3 + w - 1. Let g = -1 + 2. Suppose 4*n - 12 = -4. What is the least common multiple of z(g) and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3001600 by -268.\nAnswer: -11200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018399107.702035 - -0.4?\nAnswer: 4018399108.102035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -11313*g - 882417. Determine a(-78).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0*(1 + (-6)\/4). Suppose 2*y - 22 = -12. Suppose y*c + 0*d + 2*d + 4 = 0, -8 = -2*c + 4*d. Is j at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/2358 and -51\/2882.\nAnswer: 25938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -271.7 > 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 72.5 - 56. Let p = 14 - v. Let t = 2.7 + p. What is the smallest value in t, 0.1, 2\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -29*t + 153. Let w be r(18). Let u = w + 371. Suppose 5*z = z + 20. Calculate the greatest common divisor of u and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 6, 3\/4, 2, -1, 0.4, -5515?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**2 + 4500*h + 3233016 = 0. Calculate h.\nAnswer: -498, 1623","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 222 = 3*d. Is d greater than or equal to -37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + 27. Solve -8*f = -l*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50752.34m in millimeters?\nAnswer: 50752340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -8. Let y be 3 + 14*5 + h. Suppose -81 + 16 = -4*u - 3*g, 4*u - 3*g = y. List the prime factors of u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.731 - -0.031. Let f = 3.7 + q. Let m = 0.07 - -0.23. Which is the fourth biggest value? (a) m (b) f (c) 2\/11 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11333 - 11331. Solve 0 = -a*i - t - 9, 2*i + 20*t = 18*t - 14 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 282763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -378, -787, -1246, -1761, -2338, -2983, -3702?\n\"Answer: -u**3 - 19*u**2 - 345*u - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -51.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7414*a - 7409*a + 10*a**4 - a**2 + 14821*a - 2 - 22*a**3 to the form z*a + l*a**4 + r*a**3 + d + b*a**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, i: 4}. What is prob of sequence iiie?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/(1\/(-27)*3). Let v be (q + 9635\/15)*7\/(-5). Let k = -904 - v. Which is greater: k or -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -3*s - 6, 2*x = 5*s + 30 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 = -2*h, 3 + 9 = 4*r + 3*h. Suppose 0 = -2*c + r*y + 42, 2*c - 6 - 8 = -4*y. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/6*((-378)\/(-140))\/(-9).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*(-1 + sqrt(1088) + -2)*-5 + 1).\nAnswer: -240*sqrt(17) + 93","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 + 385*h**3 + 42*h**2 + 36*h**2 - 7 + 2 - 71*h**2 wrt h?\nAnswer: 2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 0*u - 26 = 0. Let k(v) = 8*v**2 + 6*v + 9. Let t(o) = -17*o**2 - 13*o - 19. Give u*k(i) - 6*t(i).\nAnswer: -2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34510)\/319 - (2\/(-11) - 0). Let g = 2 - k. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*u + 19 - 19)*(2 + 0 + 3).\nAnswer: 45*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 289 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16311*x = 16285*x + 416 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13015, -0.4, 0.4, 183\/2?\nAnswer: 13015","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 684 - 698. Let f(m) = -237*m - 201. Is f(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 1\/10*w**6 - 1\/5*w**4 + 2\/5*w + 1\/10*w**2 - 3 - 2\/5*w**3 + 4\/25*w**5. Factor m(a).\nAnswer: (a - 1)*(a + 1)**3*(3*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3054084, 3054326, 3054556, 3054768, 3054956?\nAnswer: 3055114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3*v + 0*v)*(-116*v**4 + 4317 - 4317).\nAnswer: 348*v**5 - 232*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86559843.\nAnswer: 3, 31, 109, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -8*f + 3. Suppose -10*a + 28 - 8 = 0. Determine s(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 + 10*g - 59. Let j be q(-15). Solve 0 = 8*o - j for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by (-2 - (-168)\/(-14))*(-3)\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 495, 494, 493, 492, 491, 490?\n\"Answer: -k + 496","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/681375 and 76\/29625?\nAnswer: 681375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -3\/64, 3.25446?\nAnswer: 3.25446","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 10 = b. Suppose -5*m + 0*m = -b. Let n(t) = -t + 7. Let f be n(6). What is the greatest common divisor of m and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 197388 + -7?\nAnswer: 197381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 12339*x**2. Let l(s) = -212*s**2 + 22*s. Let a(c) = -29*c**2 + 3*c. Let b(r) = -22*a(r) + 3*l(r). Determine b(w(y)).\nAnswer: 304501842*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.8862 rounded to two decimal places?\nAnswer: -4.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2935531 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.2 (b) -1\/44 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (280\/(-270) + 1)*-6. Let m(l) = -l**3 + 5*l**2 + 2*l - 7. Let s be m(5). Let u(d) = -d**3 + 2*d**2 + 2*d + 1. Let r be u(s). Are a and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/16 and -99\/320?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 14) to base 9\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 70 (base 12) to base 3\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1239400 is divided by 47633?\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ivvviyywwvy. What is prob of sequence wvv?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(242) + 1))**2*-3.\nAnswer: -729 - 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-137)\/(-959) - (-29)\/(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -5 (c) 8 (d) -10 (e) -1531\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxlx when four letters picked without replacement from lxlxxxx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*g + 1 + 5, z = g - 1. Let f(l) = -7 - 3*l**2 - 4*l + 4*l**2 - 5*l**2 + l**z. Let a be f(5). Which is smaller: a or -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-897*f - 26*f - 347*f - 295*f).\nAnswer: 1565*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - -42) + (-7)\/(14\/(-4)). Let d = -47 + h. Suppose -7 - 16 = -5*c + 4*w, -33 = -3*c - 4*w. Solve 0 = -l - v + c, 2*l + 10 = -d*v + 27 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.08 (b) -3 (c) -0.2 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 441073128*n**2 + 237648376*n.\nAnswer: 882146256","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332, 432, 524, 608?\nAnswer: 684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**7\/105 + m**6\/75 + 3*m**5\/50 - m**4\/6 + 2*m**3\/15 - 68*m. Find q, given that p(q) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of (-2)\/14 - 18\/(-21)*1322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -56*145*86\/648440?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 4*n + 2. Let i be (-180)\/70*(-28)\/6. Suppose 2*w = d + i - 2, 2*w + 6 = -3*d. Calculate r(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - 2. Let o be 3 - 3 - (i + -2). Let j be (2 - 2)*(0 + 1). Solve j*q - 2*q - o = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 1970*x + 39299. Give c(-20).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 3 - (-3 + 0). Let s = q - 3. What is the third derivative of 2*a**4 - 2*a**5 + 2*a**s - 2*a**4 wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 4*l**2 - 2*l**2)*(0*l + 0*l + l) + 2*l**3 + 41*l - 41*l + (2 + l**2 - 2)*(0*l + 2*l + 0*l) - 5*l**3 + 4*l**3 - 4*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2906*0.15.\nAnswer: 0.04359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0417476852 rounded to five dps?\nAnswer: 0.04175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -11876, -11866, -11852, -11834, -11812, -11786?\n\"Answer: 2*l**2 + 4*l - 11882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345 and 1593417.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -m + 3*u, -4*u + 2 = 41*m - 46*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*s + 26 = 0, v + 0*s - 2*s = -14. Let d be (-323)\/(-684) + v\/18. Let n = 4 - 3. Which is bigger: d or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus 267?\nAnswer: 266.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -97639 or -878743\/9?\nAnswer: -97639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5501 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -1169*g + 3209. Let u(j) = -3507*j + 9626. Let n(z) = 7*o(z) - 2*u(z). What is the derivative of n(p) wrt p?\nAnswer: -1169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w**3 + 5*w**2 - 18*w - 69. Determine h(-3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7448401.73 plus -8.3?\nAnswer: -7448410.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 69.3. Let c = 59.30898 - d. What is c rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.2 + -26.8. Which is the nearest to -2? (a) -1.1 (b) y (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l + 33. Let s be w(7). Suppose -3*o - 4 = -22. What is the greatest common divisor of o and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*o**5 + 356\/3*o**2 + 88*o**3 + 20*o**4 + 0 + 50*o = 0. What is o?\nAnswer: -25, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 20. What are the prime factors of l?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/3 - ((-78)\/(-18) - 4). Suppose 5*d = 6*d - m. Suppose 60 = -6*s + d*s. Does 6 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -140537, -140532, -140525, -140516?\nAnswer: -140505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89740*b - 89704*b + 179413*b.\nAnswer: -31*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:31 PM and 3:59 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1286378 less than -0.05963?\nAnswer: -1286378.05963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 4:48 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/3 - 38512*y**2\/3 - 126087991*y - 47706239838.\nAnswer: -(y + 394)*(y + 19059)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 419 and 188.56.\nAnswer: 79006.64","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 37969?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 10*u = 64. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 a when three letters picked without replacement from {g: 3, a: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 9*m**3 - m**2 + 2*m - 19. Give z(3).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.22, 5, -11.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 598501, 1196673, 1794845?\nAnswer: 2393017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 7) to base 8.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 194 and 1940?\nAnswer: 1940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1171318900?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -205*x**2 + 3*x + x - 8*x + 4*x + 130 wrt x.\nAnswer: -410*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -103*k**3 - k**2 + 2*k + 2. Determine j(-1).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 7:41 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 3.5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8781*m**2 - 10 + 8 + 2 + 2430*m**2 to r + f*m**2 + q*m and give f.\nAnswer: 11211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 - 2*c**4 + 0*c**3 + (3 + 0 + 0)*(-2*c**4 + 3*c**2 - 3*c**2))*(2 - 2 - 1 - 5*c).\nAnswer: 40*c**5 + 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/4, 2, -3, 82, 2\/5, -2.46?\nAnswer: -2.46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 4 - (-4 + (-1 - 3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5401.2 + 4868.14. Let m = v + 533. Sort 0.05, 0.2, m, 0.\nAnswer: m, 0, 0.05, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 17446*p**4 + 4*p**2 - 82499?\nAnswer: 69784*p**3 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -101217 + 397143\/4. Let z = 1897 + o. Let i = z - -34. What is the nearest to -0.04 in 2, -0.2, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1229154544 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -55 + (2 - 0) - ((23 + -28 - -63) + -54)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16459?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7.06 + 2.1. Let g = p + 5. Let j = g + -0.04. Which is the nearest to j? (a) 0.4 (b) -0.2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*y + 6*y - 11*y.\nAnswer: 21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 22 = 1. Let g be 10\/n - 20\/(-30). Let z(a) = 1 + a + a**2 + 3 - g*a - 2*a. Give z(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2099 + -81853\/39. Let a = p + 6\/13. Let f = 0.8 + -0.3. Put a, 7, f in increasing order.\nAnswer: f, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3854906*c - 19274524. Calculate d(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 5*t - 16, 0 = 34*t - 31*t + o + 4. Solve t - 2 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 25. Suppose -3*b + 29 = -y, -3*b + 0*b + 3*y + 27 = 0. Let k be g(b). Let w be k*(2 - 0) + 5. Solve 0 = 2*p - 2, 4*a - 5*p = w - 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3396\/60 - 6\/(-15). Suppose 51*r = v*r - 2574. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1439.8 + -1439.8. Let g = 2.2 - 2.118. Is m >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -3*a - 3*x + 43, -3*a = -x - 67. What is the greatest common divisor of a and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/(b*(b*b**0*b)\/b))\/b*b)\/(b*b*b**(-1\/9)))**(-2\/29)\/(b**(1\/3)*b**(-1)*b\/(b*b\/((b\/(b*(b*b**(-5\/4))\/b))\/b))*b*(b*b**(2\/9))\/b) assuming b is positive.\nAnswer: b**(113\/348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-3)*((-24)\/14 - (-1782)\/(-1386)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2580377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/100 and -11\/8.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**2 + 5*p - 12. Let i(o) = 5*o**2 + 6*o - 11. Let s(g) = 5*i(g) - 4*m(g). Determine s(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*193.1\nAnswer: -19.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 + 7\/(-2))*(-8)\/(-3). Solve i + 3 = 2*t, b*t + i = -0*t - 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a00 (base 15) in base 10?\nAnswer: -2250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (37 - 36)\/(1\/1139) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34*b**4 + 96*b**3 - 62*b**3 - 32*b**3)*(0 - 3 + 1)*(-4 + b + 4).\nAnswer: 68*b**5 - 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9, 11, -7, -57, -151?\n\"Answer: -2*w**3 + 2*w**2 + 10*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 44 - 43. Let s be f\/3*(-42)\/(-2). Let g be (s\/(-21))\/((-1)\/15). Solve g = -n + 1 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/13281450 and 111\/68110?\nAnswer: 13281450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 10:01 AM?\nAnswer: 1:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 - 14. Do s and 0.8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-6)*x**(2\/5))\/(x**(1\/3)*x*x**(-2)))\/((x*x\/(x**(2\/3)\/x*x)*x)**45*(x*x**(-4)*x)\/x*x*x**(-8\/3)) assuming x is positive.\nAnswer: x**(-1579\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -440*j**2 - 2319*j - 4384106 wrt j?\nAnswer: -880*j - 2319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350059 + 2*y**3 + 350059.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = u - 25, -2*u - u + 95 = 2*z. Suppose u*x - 49432222 = 27*x. Suppose 4*p = x + 3283889. Round p to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 - (-9 - 19 - -24) - -13.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 132734627?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 596 (b) -12 (c) -0.0288\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27965480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -26. What is the smallest value in r, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5396*v**2 + 5396*v**2 + 11*v**3 - 4*v - 9*v**4 + 2 to x + g*v**4 + u*v**2 + o*v + w*v**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1368 - 32*a**2 + 1368 - 227*a**3 + 32*a**2.\nAnswer: -227*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -7650 to the nearest one thousand.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 37. Let u = -18 + c. Let v = -1157.1 - -1157. Sort v, u, 0, -0.3.\nAnswer: -0.3, v, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/21 and 7\/186.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 5. Let s(p) = 217 - 77 - 136. Let k = -17 + 13. Calculate k*u(t) + 5*s(t).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 15) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 111*y - 6 + 225*y - 95*y + 1. Let q be s(5). What is q rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2. Let x(f) = 2*f - 8*f + 0*f. Calculate x(a(b)).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 706186315?\nAnswer: 5, 141237263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/126)\/(30\/36)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -150*z + 321*z - 162*z.\nAnswer: 9*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-3)\/2)\/(42\/(-560)). Suppose -h*l + 168 = -18*l. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1)\/s*s\/(s*(s*s**(4\/5))\/s)*s*s\/s**(-3\/5)*s*s**(-6)\/s assuming s is positive.\nAnswer: s**(-31\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(28\/(-8)) + -4. Let y = t - -20. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukuaxuxawxxw. Give prob of sequence xx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5 * 0.074886.\nAnswer: -0.112329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.14 - 1.4. Let u = l + -0.14. Let c = 9 - 19. What is the smallest value in -0.5, u, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3775 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 12:32 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 - h - 1. Let a(c) = 6*c**2 - c + 5. Let b(d) = -a(d) + u(d). Let o(y) be the second derivative of y**3\/3 - 23961*y + 2. Determine o(b(l)).\nAnswer: -14*l**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2068014494, 2068014495, 2068014496?\nAnswer: 2068014497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -43?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:21 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 18*v**2 - 37*v - 24. Let q(f) = f - 20. Let r be q(4). Is 28 a factor of x(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*w - 156 - 244 = 0. Which is greater: w or -84\/11?\nAnswer: -84\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.874876569 to 4 dps.\nAnswer: 0.8749","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13179334 to the nearest integer?\nAnswer: 3630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((297\/36)\/33*6)\/((-2)\/20).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12249.\nAnswer: 3, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 769*x**4 + 830*x**2.\nAnswer: 18456*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-14)*(m\/(((((m**(2\/7)\/m)\/m)\/m)\/m)\/m))\/m*(m*m**(-1\/6)\/m)**(15\/7) assuming m is positive.\nAnswer: m**(-135\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-38 - -22) - (-1 - 2 - -5)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.47 - 20.98. Round k to the nearest integer.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 361*o**3 + 2*o**2 + 2*o + 41. Is w(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*i**3 + 13*i**2 - 6*i + 235 wrt i.\nAnswer: -840*i + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 + 3*z - 31. Let c(r) = 6*r**2 - 2*r + 28. Calculate -6*c(b) - 5*y(b).\nAnswer: -6*b**2 - 3*b - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 13*x + 45. Let k be c(-6). Suppose k*y = -3*t + 12 - 3, t = 4*y - 2. Let n(b) = 5*b**2 - 2*b - 1. What is n(t)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 14, -28, -2\/43, 4096, 1 in ascending order.\nAnswer: -28, -2\/43, 2\/5, 1, 14, 4096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 21331772.45 rounded to the nearest 10000?\nAnswer: 21330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3039 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of -5*h**7\/7 + 14*h**3\/3 + 5. What is the third derivative of b(l) wrt l?\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 0.39, 0, -0.5.\nAnswer: -5, -0.5, 0, 0.39, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 466522 by 94.\nAnswer: 4963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - r**2 + r. Let a(c) = -3*c**3 - 6*c**2. Let h(d) = a(d) - 6*n(d). What is the second derivative of h(b) wrt b?\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*v**2 - 11*v**2 - 6*v**2)*(1193*v - 308*v - 385*v) + 3*v**3 + 0*v**3 - 5*v**3 as b*v**2 + o*v + d + y*v**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -3*y**2 - 3. Let z(m) = -m. Give g(z(w)).\nAnswer: -3*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 429 and 117?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.003444 or -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*r - 3, 5*j = r + j - 18. Let o(d) = -d**2 - 5*d - 5. Let z(n) = 3*n**2 + 10*n + 9. Let f(i) = 5*o(i) + 2*z(i). What is f(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**3\/7 + 2330*n**2\/7 - 32*n\/7 - 37280\/7 = 0.\nAnswer: -1165, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11001 - 202210?\nAnswer: -121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -2*m**7\/35 - 7*m**4\/24 + 12*m**2. Find the second derivative of n(p) wrt p.\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 899482\nAnswer: 8095338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 5:58 PM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -212573 (base 10) to base 2\nAnswer: -110011111001011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/15 of a hour?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z + 8. Let f(t) = -5*t - 7. Let n(s) = 6*d(s) + 5*f(s). List the prime factors of n(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.427 - 0.427. What is the nearest to a in -4, 28\/9, 5?\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/24 + 4\/(-32)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00032137 rounded to 6 dps?\nAnswer: 0.000321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3 = -6*f, a = -2*f + 4. Suppose 7*r - 60 = 2*r. Suppose -r = 2*n - a*n. Solve n*q - 5 = 2*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 0, 8, 1 in increasing order.\nAnswer: -3, 0, 1, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 8:19 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85995747?\nAnswer: 3, 9555083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(3\/5)\/l)\/l)\/(l*l**(2\/9))*(l**4)**(-38) assuming l is positive.\nAnswer: l**(-6958\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-49)*(-2)\/(-170)*(105\/(-7))\/3\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 469*s**2 - 1. Suppose 0 = -2*o, 5*o - 4 - 1 = 5*c. Let p be a(c). Suppose 69 - p = -3*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -213431 and -572.5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -93. Let f = -98 + 100. Suppose -f*q - 3*q = -70. Calculate the remainder when t is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 189 and 2709.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -111*f**4 - f*q + 61*q - 9 with respect to f.\nAnswer: -444*f**3 - q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 16*r**2\/11 - 4710*r\/11 + 1764\/11 = 0. Calculate r.\nAnswer: 3\/8, 294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 656077 to the nearest integer?\nAnswer: 810","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3518 + 4844. Let l = u + -33391\/8. Let k = 84817\/10 - 8473. Calculate the common denominator of k and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/(4*2*sqrt(3))*-2.\nAnswer: -sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*q - 4984 = -3372 - 2599. Solve -152\/9 + 4\/9*n**q + 236\/9*n - 88\/9*n**2 = 0.\nAnswer: 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v + 15. Let n be m(3). Suppose 42*z = 3*u + 39*z - 93, 2*z - 58 = -2*u. What is the greatest common factor of n and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 3228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6 = -p, -s - 12 = -2*p - 21. Let w(l) = 10*l**2 + 2*l - 1. Let m(c) = 9*c**2 + 2*c - 1. Determine s*m(k) - 6*w(k).\nAnswer: 3*k**2 + 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5667 + -1478. What are the prime factors of r?\nAnswer: 59, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -372b - 286a?\nAnswer: -6096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrkykkkrkkkkkwrkrkkk. What is prob of picking 1 k, 1 r, and 1 w?\nAnswer: 13\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -641 + 2*s + 594 + 2*s.\nAnswer: 4*s - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 33\/5 of a tonne?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 30. Let y be v(7). Suppose n = h + 1, -21*n + y*n + 5 = -5*h. Solve n = -w + 5*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, -33, -69, -109, -147?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 + (2 - (-3 - -9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 751.4 - 758. Let i = -2.6 - v. Which is the third biggest value? (a) 3 (b) i (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*((-12)\/8 + 3). Suppose 87 = s + f*t, 2*s + 0*s - 2*t - 174 = 0. Suppose -5*r = 2 - s. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83103 to the power of 1\/4, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 + -12 - 8) + 1 - (-12 + 0)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 18 in -0.5, -0.1, -4, -0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttatasosds. Give prob of picking 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -108954654 take away 5?\nAnswer: -108954659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 7cc0d1 (base 14) to base 5\nAnswer: 2042240441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 26 = -3*r + 2*t, 26*r + 10*t + 57 = -0*t - 18 - 1 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-154 - -155)*(-1)\/26 and -50\/2093.\nAnswer: 4186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 344934.\nAnswer: -5\/344934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 7:13 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:27 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 4, z: 1, j: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s + 12. Let j be u(10). Let m = j + 1. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of w**3\/3 - 9*w. Let l = 5 - 3. Let j(q) = -1 + 3 - 9*q**2 - l. Determine j(z(s)).\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 352203 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 57635 (base 9) in base 12?\nAnswer: 1a2a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 5, f: 4, q: 2}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of m**6\/120 + 3*m**5\/20 - m**4\/24 - 3*m**3\/2 - m**2 + 54*m. Determine g(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-11)\/(-1) - -9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/2)\/((-1)\/14). Let v = 2 - h. Let o(b) = -3*b + 4. Is o(v) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + sqrt(468) + -1)*-4 + sqrt(468) - (0 + (sqrt(468) - sqrt(468)*2))**2.\nAnswer: -464 - 42*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 6974?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2. Let c(k) be the second derivative of -13*k**3\/3 - 11*k. Give t(c(n)).\nAnswer: 676*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 3, 0, -57, -0.07, -15\/4289?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from isiisisiiiisli.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 23. What is v(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -420 + 460. What is the greatest common divisor of 1080 and l?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 19 + -6. Let y = 30024 + -29953. Calculate the remainder when y is divided by b.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 + (-1 - 6\/3). Suppose -u = 2*u - 36. Let o be 16\/p + (-4)\/u. Put o, 2, 4 in descending order.\nAnswer: o, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/4 (b) -0.1 (c) 0.5 (d) -43 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 125 = 8*i. Suppose -2*j + i = 4*w - j, -w = -3*j + 10. Let d be ((-8)\/(-5))\/(1\/w). Which is bigger: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 800, 3007, 6686, 11837, 18460, 26555, 36122?\n\"Answer: 736*h**2 - h + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -13*c. Let l(i) = 10*i**2 + 5. Let m(y) = y**2 + 1. Let h(g) = -l(g) + 5*m(g). Determine h(z(s)).\nAnswer: -845*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 902, 1821, 2762, 3725, 4710?\nAnswer: 5717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5448*k*v - 44124*k + 4*v wrt v.\nAnswer: 5448*k + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -37, -67, -109, -163, -229?\n\"Answer: -6*x**2 - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -65, -119, -165, -203?\n\"Answer: 4*z**2 - 66*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 3*b = -18, 0 = -4*l - 2*b - 6 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(1 + sqrt(63)) - (1*sqrt(84)*6)\/sqrt(12))*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/10395804 and -40\/806571.\nAnswer: 93562236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uud when three letters picked without replacement from ydyuydyyydyu?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 714 + -729.93. Let l = -16 - x. Let b = l + 0.069. What is b rounded to 2 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 460*t**3 - 82 - 80.\nAnswer: -460*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-6))\/(401\/(-93834)) - 164\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*4*(4 + sqrt(36)\/sqrt(2)))**2 + (((sqrt(2) - sqrt(8))*6 - sqrt(162))**2 - (2*(sqrt(128) + -1))**2).\nAnswer: 2110 + 1600*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45, -47, -47, -45, -41, -35, -27?\n\"Answer: h**2 - 5*h - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -32 - -1448?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 72\/11, -195, -5, 3, 0.1, 3\/4 in ascending order.\nAnswer: -195, -5, 0.1, 3\/4, 3, 72\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*m**2 - 12 + 93*m**3 - 221*m**2 + 12 + 156*m**2.\nAnswer: 93*m**3 - 308*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3639 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**5\/20 - 3*y**2. Let s be r(-1). Suppose 7 = b - 3*f, 3*b + s*f - 60 = -f. What are the prime factors of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.89343 rounded to 2 dps?\nAnswer: 68.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1090?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39857.4 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-13)\/3)\/(2\/(-6)). Suppose -189 + 181 = -c. Let v = p - c. Does 5 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10777\/844 + -4\/211. Let m be (-4 + 1)\/((-6)\/4). Find the common denominator of (4\/(-12))\/(m\/86) and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 73\/15, -3, 3.97, -0.4, 1\/8, -1 in increasing order.\nAnswer: -3, -1, -0.4, 1\/8, 3.97, 73\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, v: 5, n: 1, f: 2, h: 8}. What is prob of sequence fh?\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -bc4 (base 16) in base 13?\nAnswer: -14a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*t - 5, 5*t - z = 25 + 13. Suppose -71 = -t*l - 8. Let h = 196 - 97. What is the highest common divisor of h and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21248987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 188 by 2.\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28 and 1026074.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/21 - 1\/((-140)\/(-135))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*b + 172 + 88 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -188*x + 6203. What is l(33)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165048 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 102 = -10*x. Let y(a) = a**3 - 7*a**2 + 6*a. Give y(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -71*c - 44. Let f be q(-14). Suppose -4*o - f = -7122. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -341 + 336. Let l be (-9)\/252 - 4\/(-14). What is the biggest value in -2\/5, c, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 AM and 10:55 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 AM and 6:05 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9 - 3 + 3)*(-4 + 4 - 2*p)*(-8809 + 8809 + 706*p).\nAnswer: -14120*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7.229 + -4.229. Which is the second biggest value? (a) 5\/3 (b) l (c) -1.6 (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (17 + 19657\/(-1155))*(-3)\/2. What is the closest to 2 in 2, j, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -302 (c) -194343\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 15) to base 9.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 5 + 5)*(1 - j**2 - 1) + 2 + 8*j**2 + 3*j**2 + 3*j**2 - 8*j**2 to the form c + o*j + w*j**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 115, 109, 103, 97, 91?\n\"Answer: -6*x + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8234268*v**3 + 2891*v**2 + 17100 wrt v.\nAnswer: -49405608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, -2\/9, 694, 0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*i + 3463 + 307 = -47*i for i.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lcflulohl. What is prob of picking 1 o and 2 l?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 1:23 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, -2.24, 7?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 26 = -18. Suppose 2*p - 4*p - 236 = -i*h, -3*p = 5*h - 284. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/50 of a kilogram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4\/(-10)*-1)\/((-410)\/(-58264075))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 10 = -4*w - 6, -9 = 3*w. What is the nearest to -1\/7 in 14, -1, m, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 9*k - 10 = 0. Let t(i) = -14*i - 1. Let q be t(3). Let n = 81 + q. What is the remainder when n is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 175 - 35. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4663, -18777, -42309, -75265, -117651, -169473?\n\"Answer: -v**3 - 4703*v**2 + 2*v + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 6 (c) 0.1 (d) 494 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 724.97 + -728. Let q = t - -0.03. Let h = -1.3 + 0.3. What is the nearest to h in q, 0, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**3 + 505*j**2 + 7036*j - 424. What is w(-153)?\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53206610 to the nearest integer?\nAnswer: 376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**6\/120 - u**4\/48 + 36*u. Factor n(z).\nAnswer: z**2*(z - 1)*(z + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -78 - (-15525)\/200 - (-362)\/112\nAnswer: 20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (-4 - -3) - -8) + -3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 8, -5, 1, 6403 in decreasing order.\nAnswer: 6403, 8, 4, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a millennium in months?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.97 - 0.03. What is the second smallest value in 1, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 5*c**2 - c**2)*(13*c**2 + 12*c**2 - 29*c**2 - 2*c**3).\nAnswer: -4*c**5 - 8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34390*c**2 + 11451*c**2 + 11490*c**2 + 11476*c**2.\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7507342 (base 8) to base 2\nAnswer: 111101000111011100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2615*y**4 - 5*y + 8044. Let z(u) = 2614*u**4 + 6*u - 8043. Let g(k) = -6*f(k) - 5*z(k). Find the first derivative of g(l) wrt l.\nAnswer: 10480*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/3 and -53\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = 7*n - 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 423632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-11)\/k)\/k*k\/((k*k**23)\/k)*k assuming k is positive.\nAnswer: k**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (9 - (-9 + 20)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 17647.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -29*b**2. Let h(l) = -1489*l - 1597*l + 3313*l. Determine h(t(a)).\nAnswer: -6583*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-2)\/(-3))\/(30\/50*10)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/7 + 26496*t\/7 + 43877376\/7.\nAnswer: 4*(t + 3312)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9321565 and 110.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**(-10\/7)*m**(-3\/4)\/m**(1\/5)*(m*m\/m**(-1))**24*(m**2\/m)\/m**(2\/15) assuming m is positive.\nAnswer: m**(2027\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -10256341 (base 7) to base 13\nAnswer: -246826","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911626943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -36, -27, -18, -9, 0, 9?\n\"Answer: 9*a - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -1107*h**4 + 1105*h**3 + 48710*h**2 + 106360*h + 192 = 0.\nAnswer: -4, -3, -2\/1107, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61, 41, 21, 1?\n\"Answer: -20*o + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, 10, 47, 106, 187?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2729960145 to the nearest integer?\nAnswer: 1398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001137995424 rounded to six decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = -2*q + j + j, -4*q + 9*q - j = -352 for q.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -15980*j + 15984*j + 94, u - 2*j = 14 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 - r + 4. Let k be y(0). Let t be (k\/4)\/1*2. What is the first derivative of -38*l**t - 5 + 30*l**2 + 4 wrt l?\nAnswer: -16*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6535 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 105*u**2 + 3774*u + 1014. Give t(-36).\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16929972 smaller than 16929966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**8\/6720 + u**7\/3360 + 5*u**3\/3 - 6*u**2. Let f(v) be the first derivative of z(v). Factor f(i).\nAnswer: -i**3*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 645 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3\/5)\/(1\/5). Suppose x*i - 2*i = r + 6, 0 = r + i - 2. Let z be (-1 + -5)\/r - -2. Solve 3*k - z*t = -1, -3*t = k - 4*k + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 2*o + 0*o)*(4 + 2*o + 1 - 3)*(-91*o + 104*o - 118*o).\nAnswer: 420*o**3 + 420*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 + -115. Is 46396\/x*(-3 - (-2)\/(-1)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12396972 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 27 = -0*p. Let n be (-19 - p)*1 - 3. Let b = n + 65. Calculate the lowest common multiple of 10 and b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2067876*k**3 + 474418?\nAnswer: 6203628*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 36\/14 - (-3)\/7. Suppose -u*c = 2*c + 30. Is -8 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -88*h + 3. Let y(a) be the second derivative of a**4\/12 - a**3\/3 - 5*a**2\/2 + a. Let f be y(0). Is m(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 368 - 347. Let h be -2 - (2 + -1 + -1). Calculate the remainder when y is divided by (-8)\/h*3\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 292 in ascending order.\nAnswer: 1, 2, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -37, 1 in decreasing order.\nAnswer: 5, 1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**3\/4 - 46105*t**2\/2 - 2765625*t\/4 - 5185125.\nAnswer: -(t + 15)**2*(t + 92180)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3404904 divided by -2\nAnswer: 1702452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2455, 2456, 2457?\nAnswer: 2458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4488, 17995, 40484, 71943, 112360?\nAnswer: 161723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, i: 15}. What is prob of picking 1 j and 1 i?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p*p*p*p**(-5)*p)*p*p)\/p*p**6*p*p)\/(p**0)**(-45)*((p\/p**3)**14)**(-5\/3) assuming p is positive.\nAnswer: p**(170\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 6131*i - 620846. What is v(-103)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/12 - (-9 - (-26)\/3)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 53056*z**2 - 212176*z + 212160 = 0. Calculate z.\nAnswer: 2, 13260","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 10*k + 12. Let x(w) = w + 2. Let q(i) = -d(i) + x(i). Let y be q(3). Which is bigger: y or -38?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2204, -4385, -6578, -8789, -11024?\n\"Answer: -f**3 - 2174*f - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 3 + 4)*(-p + 0*p + 3*p)*(-11 + 1 + 5)*(-2*p - 5*p + 5*p) in the form y*p + m*p**2 + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 36*u + 3819. Let s be m(-106). Solve 2*b = 3*b - s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmmhlhlwhjhwhlwhwhhl. What is prob of picking 1 j, 1 h, and 2 w?\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1722 divided by 861.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 4352\/(-240) - ((-212)\/(-15) - 7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of -v**7\/840 - v**6\/180 + v**5\/120 + v**4\/12 + 7*v**3\/6 - 8*v**2. Let l(d) be the first derivative of b(d). Factor l(u).\nAnswer: -(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198 or 504570?\nAnswer: -198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -24, -32?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 192 - 96. Calculate the highest common divisor of 64 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1978400 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: Let r = 2.9 + -3. Let l = 5 - 3. Let w = -1.7 + l. Which is bigger: w or r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1396142 is divided by 39?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/(-5) + 5\/(20\/2864)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 9 = -21 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (18\/(-128))\/(30\/(-40)). Suppose 8*l - 116 = -100. Which is the fourth smallest value? (a) -0.5 (b) 0.5 (c) o (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 15*u - 18*u - 2*c + c, -2*u = 9*c + 43 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111246 is divided by 11084.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31761, -31757, -31753?\n\"Answer: 4*r - 31765","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 g when three letters picked without replacement from {g: 6, w: 3, t: 3, e: 3, q: 4}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 8:26 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + -32. Let a = y + 18. Which is greater: -13 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3053 (base 10) in base 6?\nAnswer: -22045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -p + 3*d, -2*d - 538 + 410 = 21*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*w**3 + 3*w**2 + 190 wrt w?\nAnswer: -126*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 767*a**3 - 939*a**2 wrt a.\nAnswer: 4602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 9*g = -2*i + 8, 0 = -2*g - 5*i - 1. Suppose 2*l - 5*y + 4 = -0, y = -5*l + 17. Solve -p = -l - g for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.176 - -11861155761?\nAnswer: 11861155760.824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12361 is divided by 3845.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 + (-5)\/(-3))*3. Let a be (-3)\/6 - (-7)\/l. Let x = -1\/33 + 4\/11. What is the second biggest value in 0.4, a, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 37.72 + -37.6. What is the smallest value in i, 0.4, 1\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/45 and -79\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -5*n - 4*o, 6 - 19 = -n - 3*o. What is the remainder when n is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/2 - -213*(-14)\/75. Let j = 1314446\/31475 + i. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1453177783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 = 13*l - 7. Let p be 136\/l*(0 - -2). Let o = p - -66. What is the highest common factor of o and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, w: 1, k: 1, s: 1, l: 1}. Give prob of sequence ksw.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27 in -8.5, 0.4, 0, 2\/3?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**6\/15 - a**5\/5 - a**4\/6 + 2*a**3\/3 - 5*a. Factor u(w).\nAnswer: 2*w*(w - 2)*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**3 + 15*n**2 + 21*n - 39. Is b(16) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.598 * -0.5\nAnswer: 0.299","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 468 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**5\/4 + 215*c**4\/4 + 1059*c**3\/4 + 1897*c**2\/4 + 368*c + 105.\nAnswer: (c + 1)**3*(c + 2)*(c + 210)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1588 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (18 - 25)) + 35\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/154 and -17\/1232.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*x + 44*b**3 + 157*b**2*x + 64*b**2 - 14280372*b*x + 2*b wrt b?\nAnswer: 18*b*x + 264*b + 314*x + 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (510 + 443*x - 510)*(-1 + 1 + x).\nAnswer: 443*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2052*u + 135984 = -594*u + 1489*u - 2525 for u.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 9:32 PM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3915340 to the nearest integer?\nAnswer: 1979","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of 7\/6*h**3 + 0*h + 3*h**2 + 1\/24*h**4 + 0 + 1\/60*h**5. Let x be r(0). Solve -2*y - 2*u - 12 = 0, 3*y - 3*u = x*y + 20 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**4 - 7*v**3 + 15*v**2 - 13*v + 4 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*d = 269*d + 344. Suppose -q = -j + 42, 3*j = -5*q + d + 24. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455 divided by 5?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(240) + (sqrt(240) - sqrt(240)*1 - sqrt(240))*-5)\/sqrt(12))\/(sqrt(490) - (sqrt(490) + sqrt(490)*2)*-6 - sqrt(490)).\nAnswer: sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -345, -3688, -12757, -30414, -59521?\nAnswer: -102940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in 2\/49, -2\/9, 4, -5, -270?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 86*x**2 + 802*x + 714.\nAnswer: -2*(x - 51)*(x + 1)*(x + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.1 and -308657635807200.\nAnswer: -308657635807199.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.06 minus 0.6?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) + (-36)\/(-16). Suppose -2*l + 13 = k*u + l, 20 = 3*u + 5*l. Let a be -3 - (1 - 2) - -4. Solve -13 - a = u*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*k = -9*k + 9775. Let b = k - -398. Solve -b*w + 20 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*f - 204 = 18*f. Suppose -5*h + 73893 = -2*n, -f*h + 3*n - 14766 = -73886. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*-3 + 5)*-6.\nAnswer: -30 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -332, 0.4, 0.3, -3\/7, 53, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 14, -2.9, -3\/10, 1?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - q**2 + 2*q - 1. Suppose -5*m + o - 2 = 7, 0 = -5*o - 5. Let d(t) = -t + 11. Let l be d(8). Let x be 1 - (-1 + l + m). What is y(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*x - 3857 = -q, -q - 3*x + 1 = -3776. What is the hundreds digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19971*u - 19951*u = 160 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i + 279 - 324. Let o be 625\/(i*5\/(-1185600)). What is o rounded to the nearest one million?\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**2. Suppose -3*v = v - 36. Let r(d) = 9*d - v*d + 2*d. Determine y(r(u)).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/1341?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 155 - 8. Let a = 148 - o. Let d = -1 + 1.2. What is the closest to -0.1 in a, d, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 3 = -18. What is the remainder when (-42)\/b*(-25)\/10*-2 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -123 + -2?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4860 and 8560?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3622 (b) -2\/11 (c) -4 (d) 5\/6 (e) -3\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -2*i + 8, -15*j + 20*j - 14 = 4*i for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dvlwdvdcdvvvdvdvlv. Give prob of picking 1 w, 1 c, and 2 d.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 8 + 0 = -3*p, -4*p + 4 = 2*d. Let x = 14 + d. Is 27 a factor of 1730\/x - 7\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1939533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -15*l + 109. Give a(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 341?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 + -18. Let m = q + 6. Let r = -36\/65 - -2\/13. Which is the smallest value? (a) r (b) 2\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g + 4. Give k(14).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1090 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1284 and -101\/30?\nAnswer: 6420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 188?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20 - (14 - 105)) + -21 + -7?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-3))\/(((-2)\/(-3))\/(196\/98)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 7. Let z be h(0). Suppose z*t - 2*t = 180. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -91 - 6 + 100 + 26*x + 22*x. Determine v(-1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84929001 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 + k**2 - 4*k. Let w be q(-2). Solve -w*f + 16 = 0, 2*f - 9 - 3 = 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 1155 = -3*u - 8*y, -385 = -u - y. Let i(c) = 2*c**3 - 2*c**2 - 9*c - 14. Let a be i(-4). Let g = a + u. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = t - 128, 29 - 1 = h + t. Which is bigger: 26 or h?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297*f + 80487 = -1819*f + 10659 for f.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 631643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 125162844?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 87 = -3*o, -2*o = 3*o - d + 175. Let n be o\/(-4) + (-15)\/(-10). Differentiate -64 + 78 - 11*u - n*u wrt u.\nAnswer: -21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -53*s**6\/120 - s**5 + 87*s**2\/2 + s + 9. Let x(j) be the first derivative of w(j). Find the third derivative of x(v) wrt v.\nAnswer: -318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrdh when four letters picked without replacement from {r: 9, h: 4, w: 1, p: 1, d: 3}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + (sqrt(68) + (-2*sqrt(68) + sqrt(68) - sqrt(68)) + sqrt(68))\/sqrt(4) - sqrt(17))*6*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l + 4. Let j be (82 - 62) + -30 + 1394\/140. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5388\/11, 0.1, 5\/69 in decreasing order.\nAnswer: 0.1, 5\/69, -5388\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -9*r**2 + 10*r - 9. Let f(n) = 4*n**2 - 5*n + 4. Calculate -5*f(m) - 2*p(m).\nAnswer: -2*m**2 + 5*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 144 and 43380?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - (-15 - 1)) + -7.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*1*0\/2. Let b = -144 - -84. Let w be (-36)\/b - 2\/(-5). Solve i*a + w = -a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 34*i**2 + 37*i + 86. What is the remainder when q(-35) is divided by 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2\/11 - 175*x\/11 - 5400\/11.\nAnswer: -(x + 40)*(x + 135)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**2 + 60*v - 322 = 0. Calculate v.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3, -3, 13\/8, 0.01, -85 in descending order.\nAnswer: 3, 13\/8, 0.01, -0.5, -3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d - 2. Let q be f(5). Let g(w) = -w**3 - 6*w**2 - 9*w + 4. Let y be g(-7). Suppose -q - y = -4*x. Calculate the highest common divisor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((3 + sqrt(11) + sqrt(44)\/sqrt(4))*1)**2.\nAnswer: 72*sqrt(11) + 318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 981012.\nAnswer: 2, 3, 29, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (177 + -46)\/(2 - 3). Let a = 156 + b. Solve 5*v - 32 = 4*m, 4*v - m = 2*m + a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1671138712?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -5 (b) -2 (c) 5 (d) -0.09\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + 435?\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-5 + 2 + 1)*(0 + 2 + 0) + 3 - 2 + 0 + (1 + 0 - 3)*(3 - 3 + 2) + 4 + 0 - 3)*(-9970*k + 1242*k**3 + 9970*k) as u + q*k**3 + f*k + n*k**2 and give q.\nAnswer: -7452","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/3)\/(11\/(-55))?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 76 = -4*o, 3*o - 2 = r - 44. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*1\/(-1) - -6. What is the smallest common multiple of 16 and 21 - (3 + -3 + j)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**0*v)**(1\/9)*v\/v**(1\/3)*v*v*v*v**(-2))\/((v\/(v\/v**(-1\/2)))**(1\/11)*((v*(v\/(v**(-1)*v*v*v))\/v)\/v)\/((v\/v**(-5)*v)\/v)) assuming v is positive.\nAnswer: v**(1945\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r - 16. Let x be k(-4). Let y(j) = -103*j + 5. Let u be y(x). Find the third derivative of 11*z**5 + 417*z**3 - u*z**3 + 13*z**2 wrt z.\nAnswer: 660*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x = 30*x + 6. Let n(z) = -z + 2. Let o be n(-3). Let g(u) = -2 - o + 3 + u + 2. What is g(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Let f = -11.491 - 0.009. Let u = 11 + f. Which is the biggest value? (a) -3 (b) u (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 + 562. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) 1\/6 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.5 and -33897.1?\nAnswer: -84742.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -33*c + 2. Calculate the remainder when z(-2) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4980 + 259*x + 4980.\nAnswer: 259*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 107\nAnswer: 4\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*w = -244, 2*w + 2*w = u - 61. Suppose -9*x + u = 16. Let c(g) = -g**3 + 6*g**2 - g + 7. Let t be c(6). Sort 3, t, x in decreasing order.\nAnswer: x, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**2 + 127*w + 473. Let u be x(67). Solve -3*g - u*k + 4 = 9, 0 = 4*g + 3*k + 9 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a**4*f + 5*a**4 + 11126*a**3*f - 2*a**3 + 27390*a**2*f + 386*a**2 wrt a?\nAnswer: -72*a*f + 120*a + 66756*f - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312223321 (base 5) to base 12.\nAnswer: 5220a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 10*u + 11. Let f be k(9). Let x = 12668.1 + -12668. Which is the nearest to f? (a) 2\/3 (b) 0 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.13 - -0.13. Let n be (-2)\/(-32)*(1 - -1). Which is the third smallest value? (a) n (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -256 - 4444*d + 124 + 132 as h + s*d and give s.\nAnswer: -4444","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/692 and -19\/6.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9331 = 2*q - 8147. Let c be (-2 - q\/48) + 2. Let d = 182 + c. Which is smaller: d or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, x: 3, w: 7, k: 1, n: 1}. What is prob of sequence zw?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 14 = 2*h - 3*m, 2*h - m - 7 = 0. Solve 2*w = -s - h, -19 = 2*w - 9*s + 4*s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z + 704 + 58 + 150 = 0 for z.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 + 6*a**2 - 10*a - 15. Let w be c(-7). Solve t = 2 - w for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**2 - 4*l + 3*l - l. Let d be g(2). Let a be ((-13)\/(-3))\/(4\/d). Do a and -13 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(4\/29)\/y**(-3\/13)*(y\/((y\/(y*y**(2\/5)\/y*y))\/y))\/(y*(y\/y**(-1\/23))\/y*y) assuming y is positive.\nAnswer: y**(31442\/43355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15164 and 15164?\nAnswer: 15164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 466*m**3 - 940*m**3 + 2 + 465*m**3 as r*m + c*m**2 + i + o*m**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 247 (base 16) in base 10?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 - 5. Calculate the remainder when j is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 360*b**2 - 261*b**2 - 509*b**2 - 1499*b**2 - 217*b**2 in the form j*b**2 + s*b + y and give j.\nAnswer: -2126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*u**3 - u - 4*u + 5*u.\nAnswer: -12*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5332826 grams in micrograms?\nAnswer: 533282.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11497444*c**4 + 6*c**3 - 110*c**2 + 3922265.\nAnswer: 275938656*c + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 57\/(-15))*1300\/60. Calculate the greatest common divisor of 1521 and a.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 10. Calculate the remainder when 190\/u*12\/(-15) is divided by 2\/6 - 38\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 2122?\nAnswer: -1\/1061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 67906 - -13?\nAnswer: 67919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**2 + 593 - 264 - 533 - 32*j. List the prime factors of m(-12).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7418, -29677, -66778, -118721, -185506, -267133?\nAnswer: -363602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyfffyffffyfy. What is prob of picking 2 f?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/15 + (-64460)\/50. Let l = -157 - v. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 11:52 AM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 - (-9 - -8) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2316.009 and 6.\nAnswer: -2310.009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -8, 47, 102, 157, 212?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 52187\/8 <= 6522?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/3 + 6560*w**4\/3 - 10758397*w**3\/3 - 19678*w**2\/3 + 32262080*w\/3 + 21516800\/3 = 0. Calculate w.\nAnswer: -1, 2, 3280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 93*f**2 + 125*f + 23188. Let o(t) = 23*t**2 + 31*t + 5798. Let k(u) = 13*o(u) - 3*r(u). What is the derivative of k(b) wrt b?\nAnswer: 40*b + 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Solve -2*v - 8 = -u*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 181?\nAnswer: 1267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t)**36*t**1\/((t*t**3)\/t) assuming t is positive.\nAnswer: t**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 2, 40035, -3\/8 in decreasing order.\nAnswer: 40035, 14, 2, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -15*m**3 - 23*m**2 - 2322*m - 2300. Give k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46.9 + 46.7. Let z(m) = m**2 - m - 1. Let s be z(-2). Put p, -2, 1\/4, s in descending order.\nAnswer: s, 1\/4, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -142014 + 0?\nAnswer: -142014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + 7 + -8.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 3\/10*p**2 + 0*p + 12 + 2\/5*p**3 + 3\/20*p**4. Solve y(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 214928669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6384 - 6387. Which is the second smallest value? (a) -1 (b) -12 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 2*i**5\/15 + 4*i**4\/3 + 34*i**3\/9 - 2*i**2\/3 - 16*i - 959. Solve z(s) = 0.\nAnswer: -4, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -334*r = -48 - 5445 - 4527 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 11:44 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -135.4 - -138.852. Let a = d - -0.618. Let i = a - 0.07. What is the nearest to -1 in 1, 3\/2, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996.\nAnswer: 2, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55316524 divided by 31217.\nAnswer: -1772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.234 - -16.234. Let d be 0 + 1\/(-7)*-1. Which is the third biggest value? (a) d (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - 669*z**2 + 2138*z - 413. What is v(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 11. Let i = 162 + -160. Suppose s - i*b = 6 + 2, -3*s = -4*b - 16. Determine p(s).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) + -5*(-16)\/60. Suppose 0 = v*u - 4*s - 8 - 10, -2*s = 0. Calculate the greatest common divisor of u and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -541*i**3 - 11*i**2 + i - 6. List the prime factors of s(-3).\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 - 33*y**2 - 33*y - 8. What is r(-32)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**13*j*j**4)\/(j*j*j\/((j\/(j**8\/j))\/j)*j)**(5\/6) assuming j is positive.\nAnswer: j**(53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 20, 50, 100, 176, 284?\n\"Answer: c**3 + c**2 + 6*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 25*i**2 + i + 1. Is x(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4 + 36048*u**3 - 2093252*u**2 + 32349408*u - 56614208 = 0. What is u?\nAnswer: -36106, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25.34 + 143.04. Let v = 118 - u. What is the second biggest value in 2\/3, -3, v, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 317*f + 5*t = 322*f - 5, -12*f - t - 40 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 239*d**6 + 5*d**5 + 390*d**4 + 12412498*d**2.\nAnswer: 28680*d**3 + 300*d**2 + 9360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4273855 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 469 a factor of 159013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 29*k + 19113171 = -16365509. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(sqrt(396) + (-3 + sqrt(396) - sqrt(396) - sqrt(396)))**2.\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -0*l - 220. Let a = l + -33. Let r = a - 5. Solve 4*p - r = -1 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -53 - -55. Suppose l*u + 3*o - 51 = 0, -2*u + 2*o + 16 = -30. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -6*h + 5*o + 223, 0 = -5*h + 2*o + 397. Suppose 0 = -2*y + h - 17. Suppose 0 = y*a - 37*a + 45. What is the lowest common multiple of a and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 4*a - 1 = 0, -2*a + 4 = 3*z. Suppose -z*t + 6*t = 12, -16 = -p - 5*t. Let y = 1 - p. Solve y = -6*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5533*a + 1. Let v(h) = 2*h**2 + 4*h - 26. Determine c(v(b)).\nAnswer: 11066*b**2 + 22132*b - 143857","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((12 + 159 - 417)*(n + 0 + 0) + n + 0 + 0)*(-6 + 3 + 5) in the form d + v*n and give v.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 0*x - 1\/3*x**4 + 0*x**2 + 7\/3*x**3 = 0. Calculate x.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 4 = 25 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9741*t + 116402 = -11314*t for t.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 10*19\/665*(-4340)\/(-40)\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 - 4. Let z = 129 - j. Calculate the greatest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(8) + sqrt(8))*-6)**2*-2*4 + (sqrt(1078) + (sqrt(1078)*3 - sqrt(1078)) + sqrt(1078))\/(5*sqrt(11)*3).\nAnswer: -9504 + 34588*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17421848, 34843696, 52265544, 69687392?\nAnswer: 87109240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/2 - -1) + (-114)\/(-76).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -6*r + 4. Let d(c) = 5*c - 1. Determine -3*d(w) - 2*h(w).\nAnswer: -3*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 1 + sqrt(1377))**2 + -4.\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9701*l**5 - l**4 - 5*l**3 + 4434*l**2 + 2*l - 1 wrt l.\nAnswer: 582060*l**2 - 24*l - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*i - 4*i = 51. Let v = 4 - 3. Suppose -4*k + 3*k + 2 = 0. What is the closest to i in v, k, 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -133*w**4\/4 + 269*w + 59. Find the first derivative of t(j) wrt j.\nAnswer: -399*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*p**3 - 105*p**3 - 284*p**3.\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 770187931?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -120 (base 3) to base 16\nAnswer: -f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 18 = 4*i - 0, i = 5. Let z(h) = -h**2 + h. Let t be z(m). Let x = t + 0. Solve -4*s = -3*r - 3, -4 = 3*s - x*r - r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = n - 7. Let i(a) = -a + 27. Is 14 a factor of i(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27*-1*12\/36.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19248 + 19245. Sort -11, -13, f in decreasing order.\nAnswer: f, -11, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -85, -3, 4, -5, -24.\nAnswer: -85, -24, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(2880) + sqrt(2880) + -2*sqrt(2880) + sqrt(2880) + sqrt(2880)) + sqrt(2880) + sqrt(2880))\/(-1*(sqrt(4) - (-3*sqrt(36) - sqrt(4)))))**2.\nAnswer: 72000\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -39 - -44. What is the third smallest value in b, 3, -19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/(-26))\/((-5755)\/(-59852))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1754 - 1755.093. Let z = 0.093 + d. What is the smallest value in -2\/3, -3, z?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 6. Find the second derivative of -5 + 5 + 3*d**2 - a*d + d wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 9:43 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -4*y + 40. Let z be s(-15). Suppose 106*f - z*f = 72684. Suppose j = 7*j - f. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/c**(1\/13)))**(-3\/25)\/(c**(2\/93)*c**(-2\/43)\/c) assuming c is positive.\nAnswer: c**(1320178\/1299675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.232 - -3.768. Let r be 2 - (2 + -3)*1. What is the third smallest value in j, r, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1467348390.\nAnswer: 2, 3, 5, 199, 81929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*j = -67*j. Let g(a) = -a**2 + 2*a + 4. Let p be g(j). Solve q = p*x - 2, q + 2*x - x - 3 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -74 + 8*g**2 - 72 + 5*g + 140 - 20*g**2. Let m(b) = -35*b**2 + 14*b - 17. Determine -6*m(j) + 17*u(j).\nAnswer: 6*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 266693?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a**2 + 1587*a - 150345. Determine r(79).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y + 160*y**2 + 18 + 15 - 28. What are the prime factors of o(-1)?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-8))\/(27\/36).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(192) - sqrt(192))**2 + -4 + sqrt(48))*3.\nAnswer: -12 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -47b7ee - 5?\nAnswer: -47b804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 77 - 54. Suppose 0 = 5*r + 885 + 295. Let t = r - -242. What is the remainder when s is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*o = 93, 131 = 2*c + 3*c - o. Let u = c + -31. Let p(s) = s**2 + 4*s + 3. Let j be p(u). Sort 7, j, 5.\nAnswer: j, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.61365 rounded to two decimal places?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cckrkrrkkkkr. What is prob of sequence ck?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 323117 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28665445, 57330886, 85996327, 114661768, 143327209, 171992650?\nAnswer: 200658091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-2*(-2 + sqrt(12) + -4 - (sqrt(12)*2*5 - sqrt(12)))*4)**2.\nAnswer: 307200*sqrt(3) + 1286400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 + 33*q**2 - 127*q + 21. Give t(29).\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 3*g**2 - 18*g - 50. Determine n(-6).\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l + 3*l - 3*l. Let x(p) be the third derivative of p**4\/12 + p**3\/2 - 2928*p**2. Determine t(x(y)).\nAnswer: 2*y + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1301371 is divided by 325338.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 - 824*v - 42436.\nAnswer: -4*(v + 103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -4, -5*w - 556 = -0*z + 4*z. Is 28 a factor of -3*1*w\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -620 + 24*b + 674 - 21*b as t*b + i and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**6\/120 - o**5\/20 - o**3\/3 - 14*o**2. Does 14 divide f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 876 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12*1*2\/3. Let q(p) = 6*p - 8*p**2 + x*p + 3*p**3 - 2*p**2 - 7*p + 4. Let l(c) = 3*c**3 - 11*c**2 + 8*c + 5. Let m(v) = 4*l(v) - 5*q(v). Factor m(g).\nAnswer: -3*g*(g - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/36)\/((-1)\/2). Let x(a) be the second derivative of a + 1\/6*a**2 + m*a**3 - 1\/60*a**5 - 1\/36*a**4 + 0. Find f, given that x(f) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/59, -2, 59 in increasing order.\nAnswer: -2, 2\/59, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.7. Put -1\/7, -12, x in descending order.\nAnswer: x, -1\/7, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 104, 225, 348, 473, 600, 729?\n\"Answer: w**2 + 118*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -296 = 4*f - 6*f + 2*w, 0 = 3*w - 6. Suppose -18*c + 43*c - f = 0. What is the greatest common factor of c and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21496.21l?\nAnswer: 21496210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*g**2*l**2 + 6*g**2 + 2*g*l**2*z - 2*g*l*z + 3*l**3 + 4*l*z wrt l.\nAnswer: -12*g**2 + 4*g*z + 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -252 + 3?\nAnswer: -248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 12*m + 69 = 16*m, m = -5*a + 66. Suppose 3*b + a = 4*f, 2*f - 3*b = -f + 9. Solve g = -f*t - 4, g + 3*t = -0*t - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*f - 3*f + 2*f)*(-14 + 349*f - 356*f + 19) - 6*f**2 + 4*f**2 + 3*f**2 as v + k*f**2 + w*f and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832194075?\nAnswer: 3, 5, 53, 209357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4655490?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 6:41 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -482*t**6 - 502*t**2?\nAnswer: -57840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 350 and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-3) + (-1322)\/(-6). Suppose -6*j = -2*j - x. Calculate the remainder when j is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3626 + 2271 - 2068*u - 608 + 4*u**2 - 1169.\nAnswer: 4*(u - 515)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 74*x**2 - 15*x - 1051. What is t(0)?\nAnswer: -1051","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73547 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: Let c(p) = -152*p + 1373. Let b be c(9). Solve b*k = -l + 6, 2*k - 2 = 3*l - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0822506 rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n - 12. Let t be w(-8). Suppose p - t*q - 33 = -8, 0 = 3*q + 15. What is the derivative of -p*i**4 - 5 + 19*i - 19*i wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 457*g + 2273. Calculate r(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 k when two letters picked without replacement from ckkzdnld.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 5*x - 14. Let k = 16 + x. Solve -2*l = 3*l + k for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 155*c + 94. List the prime factors of z(26).\nAnswer: 2, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 10020101211?\nAnswer: -10020101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (4 + 2)\/(-2). Suppose 4*i + 6 = -i - h*j, -4*i + 4*j + 12 = 0. What is the closest to i in 0.5, 5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from {b: 7, i: 3}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/135 - (149\/(-30) + 4)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*l**3 + 264*l**2*u - 3*l**2 - 538*l + 64*u + 18148 wrt l.\nAnswer: 6*l**2 + 528*l*u - 6*l - 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*n - 101 - 79 = 144. Solve -n*a = -42*a + 120 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4715637 to the power of 1\/3, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 48 = -a + 34, 4*v + 8 = -4*a. Solve 5 = -3*x - v*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 7*g - 16 = 0. Suppose -2*d + 48 = -r + 135, -g*d = 2*r - 190. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(700) + 1 + -4 - (-4 + sqrt(700) + sqrt(700) + -1 + sqrt(700))*1)**2.\nAnswer: 120*sqrt(7) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -10679*b**2. Let v(c) = -267*c - 2. Determine v(h(x)).\nAnswer: 2851293*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -28\/226773 and -95\/8658.\nAnswer: 5896098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 39.4. Let x = -39 - u. Let a = 35 + -35.5. What is the second smallest value in x, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5922, -4, 0 in ascending order.\nAnswer: -5922, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 30 + 8*s - 5*s**2 - 12 - s**3 - 12 - 2*s. What is l(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.5 - 0.5. Suppose 125*c - 24 = 113*c. Let r be (1\/(-12))\/((-34)\/102). What is the nearest to -2\/5 in r, c, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**13*w)**(-25) assuming w is positive.\nAnswer: w**275","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 887301951 to the nearest integer?\nAnswer: 961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(1\/8)\/(u*u*u\/u**(-13\/6)) assuming u is positive.\nAnswer: u**(-121\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 6*r + 52 = 10*r, 5*r + 10 = 0. Solve -3*q + 3 = -5*n - 26, -5*q + f = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {m: 6, z: 3, d: 1, e: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t - 5. Let l be (5 + (3 - 2))*-1. Is p(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2183.4 (b) -114 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 195*s + 1500890 = 1512590 for s.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 444067.8 grams to nanograms.\nAnswer: 444067800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041212367.\nAnswer: 3, 13, 359, 8263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1772 times 652.9?\nAnswer: -1156938.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 3*t + 24 = p, -p + 9 = t. Suppose 0 = v + 2*s - 24, p*s = v + 9*s - 52. Calculate the remainder when 249 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, c: 5, k: 5}. What is prob of sequence ckcc?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 864996790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-250)*-10*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7.42 + 8. Let s = a - 0.08. Let i = -0.4926 + s. What is i rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-4 - -7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -79a02 (base 11) to base 10.\nAnswer: -115678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 11*w**2 - 10*w - 14. What is m(9)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from hhxxkxhxxk?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -23474 and -23475 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.1557705 to 1 dp.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d\/((d*d*d*d**15*d*d)\/d))\/d*d*d)**(30\/13)*d**(-13)*d**30\/d assuming d is positive.\nAnswer: d**(-272\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -7.6. Let v = -1.4 + g. Let z = 552 - 551.5. What is the biggest value in v, z, 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-45)*25*(-19)\/(-38).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 - -1) + (13 - -3). Suppose -8*y + y = -a. Let 2\/15*d**y - 4\/15*d + 0 = 0. Calculate d.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -6*y + 9. Does 21 divide w(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 8, -21, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-17 - (-11 + -18)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4*b = 22 + 14, 31 = 4*k - b. Let q = -1 - -1. Suppose q = 12*x - k*x - 136. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*q**3 - 340*q**2 - 818882782 with respect to q.\nAnswer: -234*q**2 - 680*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-18))\/((-15)\/(-6) + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57 - -229\/4. Which is the smallest value? (a) d (b) -3\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 68242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 44 = -3*v + 3*s, 8 = v - 3*s. Let f be (-116639996)\/18 + v\/(-63). What is f rounded to the nearest 100000?\nAnswer: -6500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**5 - 25*s**4\/4 + 15*s**3 - 35*s**2\/2 + 10*s - 480. Let n(r) = 0. What is r?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*g + 137 - 137)*(-1 - 2*g + 1) + (6*g - 3*g - 2*g)*(-g + 0*g + 0*g).\nAnswer: 65*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 1:45 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -127*g**7\/7 - g**3\/6 + 29*g**2 - 144*g. What is the second derivative of n(i) wrt i?\nAnswer: -15240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 8. Calculate o(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2754, 2752, 2750, 2748?\n\"Answer: -2*k + 2756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 6*r**2 + 8. Let a be d(6). Suppose 0 = 3*v - a - 1. Suppose -b + 3 = 0, v*i - b = -2*b + 156. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4680 and 43\/948?\nAnswer: 369720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 - 4*o**2 - 2*o + 4. What is the remainder when u(-3) is divided by 28?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 98*k**2 + 5*k - 14*k**2 - 2*k**3 - 18*k - 86*k**2 to the form y*k**2 + v + b*k + s*k**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -28, 24538 in ascending order.\nAnswer: -28, -1, 2, 24538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 21 (b) 158 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -653, -988?\nAnswer: -1323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 399 and 82194?\nAnswer: 82194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**3 + 3*n**3 - 6*n**3)*(-8*n + 21*n + 33*n) - 2*n**4 + n**4 + 3*n**4 to i*n**3 + y*n**2 + u + h*n + x*n**4 and give x.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 86*w**3 + w. Let y(p) = -43*p**3. Calculate 2*u(d) + 5*y(d).\nAnswer: -43*d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -146 + 1305. Does 3 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153a (base 12) in base 3?\nAnswer: 1011212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-1 + 4) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.88 + -0.98. Let j = 0 + 0. Which is the closest to j? (a) 0.5 (b) -1\/3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r**3 + 7*r**2 - 2*r - 31. Let j(l) = 7*l**3 - 5*l**2 + l + 21. Let c be (-12 - -22) + (5 - 20). Determine c*m(z) - 7*j(z).\nAnswer: z**3 + 3*z + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -311 * 13.\nAnswer: -4043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1458 - 1045 + 1363 + 783 + 371)*(0*z + z - 2*z).\nAnswer: -2930*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-171)\/95*558\/810*-10?\nAnswer: 62\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 PM and 11:03 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 + 3 = -2*w - 2*u, -4 = -u for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + (0 - (-4 - -6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 6:26 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 92.86*-18730\nAnswer: -1739267.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 219331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j - 4*j + 2110. What are the prime factors of j?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilometer in meters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-462)\/(-28)*1\/(-3)*2?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11730 divided by -782?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**7)**(-46))**(-45) assuming x is positive.\nAnswer: x**14490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 3*o. Let t(i) = -47*i**2 + 97*i**2 - 49*i**2. Give w(t(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 - -d8e?\nAnswer: d93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 218\/(-327) - ((-1)\/(-228))\/(7\/(-1162)). Let r(c) be the second derivative of -14*c + j*c**4 + 0 + 3\/190*c**5 + 5\/57*c**3 + 1\/19*c**2. Factor r(k).\nAnswer: 2*(k + 1)**2*(3*k + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2. Let s(p) = -1014*p. Calculate x(s(b)).\nAnswer: 3084588*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5583887702.\nAnswer: 2, 15679, 178069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 5*d - 12, -139819*d + 139815*d = 4*c - 8 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14476, -14481, -14486, -14491, -14496?\nAnswer: -14501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = -j + 66, x - 70 = -2*j. Suppose -69*p = -x*p - 329. Solve 2*o - 4*y = 10, -3*o - 3*y - p = -17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 3341578\nAnswer: -2\/1670789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*h - 400 - 3847 = -705 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 17*t = 340. Is t a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 217 is divided by 41?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-6 + 7)) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2799*d - 1852938. Determine a(662).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 14313.28 * 2\nAnswer: 28626.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 4\/5, 502881?\nAnswer: 502881","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/357 and -5\/17?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 144 - 156 = 0. List the prime factors of (36\/81)\/(i\/3294).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010110101101110011001 (base 2) to base 6.\nAnswer: -253504041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-1)*((-91)\/21)\/(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82 + 79. Is 5 + -3*(-5 + i) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-48)*-6*2*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 9*k**3 + 3*k**2 + 179*k + 957. What is m(-5)?\nAnswer: -988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f**(-1\/3)*f*f*f)**(-10))**(-1\/6))**(-21\/5))**(-10\/11) assuming f is positive.\nAnswer: f**(560\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcccffffffff. What is prob of picking 2 c and 1 f?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/64350884 and 43\/11.\nAnswer: 707859724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55170, 222635, 501736, 892467, 1394822?\nAnswer: 2008795","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33\/18 + (-6)\/12.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1134 and 83790.\nAnswer: 754110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -326, -727, -1220, -1817, -2530?\n\"Answer: -2*r**3 - 34*r**2 - 285*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 117899299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 84 = 4*h - 0*m + 4*m, 2*h - 31*m - 22 = 11*m for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -497\/36 - -284\/9. Let o = w - 151\/8. What is the second biggest value in o, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 5*a**2 - 1104*a - 6582. Determine p(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 2, v: 1, e: 3}. Give prob of picking 1 w and 1 v.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6430, -6622, -7146, -8164, -9838, -12330?\n\"Answer: -27*f**3 - 4*f**2 + 9*f - 6408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -7. Suppose 2*z = -k*n - 3, 3*z - 5*z + n + 9 = 0. Suppose 1 - z = -r. Solve r*u - 8 = 0, -5*o + 18 = -2*u + 4*u for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 303*w - 5742. What is u(19)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 240. Let g be z(0). Let i = g + 359. What is the greatest common divisor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)*a**11\/a*a*(a*a*a*a\/(a\/(((a\/((a*a**(-3\/4))\/a)*a)\/a)\/a)))\/(a*a*a**(-8)))**(1\/73) assuming a is positive.\nAnswer: a**(241\/876)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 5:10 PM?\nAnswer: 1:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-41 - 1) + (14 - 6).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b**2 - 42*b**2 - 40*b**2.\nAnswer: -103*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2 - 3) + -4 - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + -1. Let n = o + 23. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from wwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*l + 11 + 3. Suppose -l*r = -12 - 2. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 AM and 8:01 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p - 56 = 0. Let g(s) = -s**3 - s**2 + 2*s + 70. Let v be -5 + 15*(-2)\/(-6). Let u be g(v). What is the highest common factor of p and u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459333913 to the power of 1\/2, to the nearest integer?\nAnswer: 21432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(-14\/9))\/(l*l\/l**5) assuming l is positive.\nAnswer: l**(31\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 281846, 281692, 281526, 281342, 281134, 280896?\n\"Answer: -b**3 - 147*b + 281994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - (9 + -33 + -32).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*d - 1)*(4 - 6 + 3) + (1 + 0 + 1)*(3*d - 6*d + d) to s*d + j and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11692 - 11674. Calculate the remainder when d is divided by 18.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 3 = 7. Let w be 0 + -3 + g - -15. Let c = 3 + w. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 311.8 + -288.2. What is the nearest to i in 4, 2, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that j**5\/4 + 13*j**4\/4 + 10*j**3 + 9*j**2 = 0.\nAnswer: -9, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 512*f + 10. Let v(l) = 512*l + 8. Determine -5*k(o) + 6*v(o).\nAnswer: 512*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4191855\/8 or -2\/3?\nAnswer: -4191855\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (-1 - 3) + (-5 - -13) + 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69, -63, -45, -9, 51, 141, 267, 435?\n\"Answer: z**3 - z - 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 j when four letters picked without replacement from jjjjjjjjsjjj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in five sixths of a week?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 73571110 divided by 5?\nAnswer: 14714222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 k when two letters picked without replacement from yhxhkuvhhxuuxkkxxux?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(2) - -2*sqrt(98))**2 + (sqrt(6)\/sqrt(3)*3 - (sqrt(2) - -1*sqrt(50))**2) + -4.\nAnswer: 3*sqrt(2) + 373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 0 (b) 1 (c) -50 (d) -2\/17 (e) 19 (f) -0.3 (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -29, 1\/7?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {i: 4, q: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40826 - 1510 = 2*o - 2*a, -3*a - 19652 = -o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -32521703117 and -27.1.\nAnswer: -32521703144.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6511\/1480 - 9\/370. Let m = 697\/33 - -6\/11. Calculate the common denominator of i and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43 (base 14) to base 3.\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73 - 140701?\nAnswer: -140606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 5*j + 10. What is the units digit of i(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2 - 6*o - 8. Let q(d) = d**2 + 5*d + 1. Let z be q(-4). Let n = z + 9. Let k(j) = 2*j**2 + 2 + 1 - 5*j + 0*j**2 - 10. Give n*h(t) - 7*k(t).\nAnswer: -2*t**2 - t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 33 + 307*y - 61*y.\nAnswer: 246*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/752 and -137\/432.\nAnswer: 20304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -295065*g + 6. Let v(s) = -4*s**2. What is z(v(w))?\nAnswer: 1180260*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3269 divide 6960171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {o: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -773302*m**4 - 334772 wrt m.\nAnswer: -3093208*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5640 and 18755820?\nAnswer: 2820","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/1*(-498)\/(-12). Let z = -63 - q. Suppose 19*i - z*i + 205 = 0. What are the prime factors of i?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 + 2*v + 3. Let w be u(5). Let x = w + 108. Suppose -x = -3*z + 120. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211292 to the power of 1\/2, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1827 and -0.5.\nAnswer: 913.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 5*r + 20. Let q(f) = -f**3 - 19*f**2 - 14*f + 66. Let n be q(-18). Give m(n).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 44110*u - 838812.\nAnswer: 2*(u - 19)*(u + 22074)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 168\/3 + (-22)\/((-22)\/(-5))?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w + 154. Let n be u(-25). Let g(a) be the second derivative of -4*a + 0 - 1\/24*a**n + 1\/2*a**2 + 1\/12*a**3. Factor g(t).\nAnswer: -(t - 2)*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/1119188 and 35\/29258772.\nAnswer: 204811404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(11) + sqrt(22)\/sqrt(2) + 5 - -3*(sqrt(33)\/sqrt(3) - sqrt(11))) - (-3*sqrt(44)\/sqrt(4) - ((sqrt(110)*-5)\/sqrt(10) + sqrt(11))))*-3)**2.\nAnswer: 540*sqrt(11) + 1791","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**3\/2 + 88039*q**2\/2 = 0.\nAnswer: -88039, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 17*b**3 - 15*b**2 - b + 5. Let l be a(-4). Let d = l + 2826. What is the tens digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rtrdtddrdrtrtrrr.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Let f be (-4 + j)\/((-1)\/(-2)). Suppose 3*x = 2*x + 2. What is the greatest common divisor of f and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 3*q + 2*y - 80 = 0, 5*q - 3*y = 127. What is the highest common divisor of 494 and q?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -547\/15973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 17, g: 2}. Give prob of picking 2 g and 1 q.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53766 = 1979*u + 9044 + 6455 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 5*b + 8, -5*m + b - 7 + 1 = 0. Sort 1, -6, m, 3, -46.\nAnswer: -46, -6, m, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -1779.\nAnswer: 7\/1779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 v when four letters picked without replacement from {p: 1, v: 19}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j - 2*j**3 + j**3 - 2*j**2 - 7*j**2 + 10 + 12*j. What are the prime factors of c(-10)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328429?\nAnswer: 328429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 1. Suppose 0 = -2*y - 2*y - 8. Suppose 0 = -5*o + 1 + 4. Let c(t) = t + 1 - t**2 - 2 - o. What is y*h(w) - c(w)?\nAnswer: -w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 41*r**3 - 219*r**2 - 39*r + 197. Calculate w(5).\nAnswer: -348","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k - 5*k + 7*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -94 divided by 2\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 52977259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 102322203 (base 4) to base 9\nAnswer: 127243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 8*g**3\/3 + 85*g**2\/6 - 10067*g\/6 + 1661 = 0.\nAnswer: -453\/16, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*-3*(-45)\/27?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1133 + 132023?\nAnswer: 130230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -1429\nAnswer: 285.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from {b: 1, m: 10, s: 2, y: 3, x: 3}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 13, 1130, -2 in descending order.\nAnswer: 1130, 13, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -8*g + 6. Let z be w(1). Which is greater: z or -5\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24360, -24366, -24370, -24372, -24372, -24370?\n\"Answer: w**2 - 9*w - 24352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.069, -3, -3\/5 in descending order.\nAnswer: 0.069, -3\/5, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + -21. Suppose 3*o = -6*m + 4*m + 4, -2*m - r*o = -4. Solve -2*a = -f - 3, 4*f + m = 4*a + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/7)\/a*a*a)**21*(a*a*a*a**(-5\/4))\/(a\/(a**(-8)*a*a)))**8 assuming a is positive.\nAnswer: a**78","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*f - 15 + 27 - 13)*(-5 + 3 + 4).\nAnswer: -28*f - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -4 (b) 2656 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*q = 9. Let l = 1 - q. Suppose l*t + 0 = 8. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49453?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -38946 and -38946 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20\/3*(-6)\/(-24)*6.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -38*q + 3310. Let c(g) = 4*g + 0*g - 2 + g. What is the remainder when c(3) is divided by d(87)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 22962 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -80, -75, -66, -53?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726370 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23575*p*t**2*w*x**3 + 452905*p*t**2*w + 21*p*t**2*x**3 + p*w + 2*t**2*w - 2*t**2*x**2 wrt x.\nAnswer: 141450*p*t**2*w + 126*p*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, b: 10}. Give prob of picking 2 e.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 136427.7 rounded to the nearest 1000?\nAnswer: 136000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 + 21*w - 94. Determine q(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 5. Suppose 2 = -4*o - 22. Let y be k(o). Is y bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-10)\/35)\/(4\/(-14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 273002389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 11*s + 9. Let i be r(-6). Let q = i - -255. Calculate the common denominator of -139\/6 and (-4)\/16 - q\/40.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/48)\/((-394)\/(-788))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.1667 to one decimal place.\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2172, 2181, 2196, 2217?\nAnswer: 2244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21 - -22.8. Let p = 0.2 + w. Let i be (-2)\/(-8) - (-2605)\/(-4168). Which is the second biggest value? (a) i (b) p (c) -4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 37*h - 3. Let t(i) = 185*i - 16. Give -11*a(b) + 2*t(b).\nAnswer: -37*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l - 8. Let d be m(6). Let r = 50 + d. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**5*q**2 + 50179*a**3*q**3 - a*q**3 + a*q**2 - 15974*a*q + 8*q**3 wrt a?\nAnswer: 20*a**3*q**2 + 301074*a*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, x: 2, c: 4, z: 1, y: 6, r: 1}. What is prob of sequence xn?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1103 = 13*f - 8318. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*z**2 - 11*z**2 + z - 1 + 32*z**2 - 16*z**2 to t*z**2 + r*z + a and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 387536 from 0.03977.\nAnswer: -387535.96023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12210111 - -2012212211?\nAnswer: 2000002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 5*j**2 + 2*j - 7. Give k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -173 + 167. Let b(c) = 2*c - 2*c - 7 - 2*c. Let q be b(w). Solve 0 = q*i - 2*i + 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4361 and 4.\nAnswer: -17444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7454?\nAnswer: 2, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 530.\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18072020163768543.42 + -18072029680806999.41999943. Let d = 9517038364 + o. Let b = 92 + d. Round b to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -239 - 32155b?\nAnswer: -321797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (39\/39)\/((-6)\/(-8))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 842 - 1540. Let m = -4817\/7 - u. Which is smaller: 9 or m?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - y + 1. Let w = -15 + 18. Suppose 4 - 7 = w*f. Let m(i) = i**2 + 11*i + 4. Let u(j) = f*m(j) - 2*b(j). Determine z, given that u(z) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4497, 147, 12\/31?\nAnswer: 12\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 48 = 3*y. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -247 and 0.0264.\nAnswer: -6.5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 5)*((1 - 3 + 0)*(1 - 1 - 2) - 255 - 321 + 508)*(-3*q - 2*q + 4*q)*(1 - 1 + 1).\nAnswer: 128*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338031 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.654634 from 66.\nAnswer: 65.345366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 56*j + 1. Let f be w(-4). Let o = f + 1351\/6. Find the common denominator of o and -85\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*s. Let u = s + 3. Suppose 5*r = p + u, p - 2*r - 2*r = -1. What is the remainder when 12 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*t - 250*t + 139*t = 1800. What is the least common multiple of t and 424?\nAnswer: 6360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 138*c**2 - 2*c + 1. Let r = 24 + -22. Suppose -6 = z + r*z. Is v(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5403*r - 1063*r + 2 - 2)*(5 - 3 + 4).\nAnswer: -38796*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 2*h + h + (0 - 3 + 2)*(-1 - 3*h + 1) + (-4 + 2 - 1 + (3 - 20 - 8)*(5 - 4 + 0))*(-2*h - 3*h + 4*h) - 2*h + 4*h - h in the form v + j*h and give j.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.482491 millilitres in litres?\nAnswer: 0.006482491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -8*c**3 + 1. Let i = 41 + -34. Suppose 0 = -4*d + 3 - i. Calculate f(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 84025\/33 and 2545 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*x + 654*x = 49121 - 26460 + 52309 for x.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/7 (b) -0.02 (c) -34 (d) 829 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**3\/3 + 7*i**2\/2 + 5*i + 3. Suppose -2*z - 157 = -x, -2*x + z - 161 + 475 = 0. Suppose -2*v - 143 = -x. Give w(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**3 - 63*w**2 + 70*w + 384 = 0.\nAnswer: -64, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.094 - 1.346. Let s = n - -1.551. Round s to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*f + 0 + 4 - 5)*(0 - 2 - 2)*(3 - 6 - 5) in the form q*f + m and give m.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 341 and 63581.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47278?\nAnswer: 2, 7, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 7745*l**4 - 68535*l**3 + 167605*l**2 - 89265*l - 17550 = 0. What is l?\nAnswer: -234\/1549, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - -6876)\/(6\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 3. Let p(s) = 4*s + 4. Give -3*o(f) - 2*p(f).\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (-11 - (14 - ((-6 + 20 - 12) + 11)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)*-3)\/sqrt(2))\/(sqrt(9) - (sqrt(81)*2 - sqrt(81))) - (0 + -5 + sqrt(448) + 1 + 1).\nAnswer: -13*sqrt(7)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33599349.\nAnswer: 3, 7, 61, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyq when three letters picked without replacement from qqryqqrrhyn.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -2 (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -481*d + 2607. Is o(-26) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 318.8 + -322.8. Which is the third biggest value? (a) r (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16098259, -16098258, -16098257, -16098256, -16098255?\n\"Answer: p - 16098260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1242905 is divided by 1242865?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-1)\/((3 + -6)\/(-1)). Solve -2*d = 3*a, o*a - 4*d = -3*a - 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -783\nAnswer: -22\/783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/23, 1.06, -2\/9, -2, 9\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23038, 46093, 69148?\nAnswer: 92203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -20. Let u be (3 - 3)*(-4)\/v. Solve 5*r + 20 = -u*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 244 + -83. Suppose 156*v = g*v - 13300000. What is v rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 204 (b) -0.09 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1958 and 44\/89.\nAnswer: 1958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147484 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12.2 + -18. Let j = -2651294.59000178 + 2651300.39. Let u = v + j. Round u to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 632727 (base 8) in base 5?\nAnswer: 23213031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 28*g - 44. Let a be v(-11). Sort 4, 0, 2, a in decreasing order.\nAnswer: a, 4, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -29.431 - -29.37. Sort d, -1\/2, -8 in increasing order.\nAnswer: -8, -1\/2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1128 + 391. Is l a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, w: 1, f: 6, d: 1, g: 2, k: 4}. What is prob of picking 1 w and 2 n?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 11*l - 11. Let d be q(-10). Let g be -2*(2\/d)\/(-2). Does 13 divide (54\/(-4))\/(g\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 3, g: 4}. Give prob of sequence bgg.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = 2*m - 4*t, -5*t - 520 = 4*m - 9*m. What is m rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 1, h: 1, v: 2}. Give prob of sequence vc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3\/4, -0.76642 in ascending order.\nAnswer: -0.76642, -3\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 i when four letters picked without replacement from {i: 17, o: 3}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36108 = 29*n - 24096. What is the lowest common multiple of 3460 and n?\nAnswer: 10380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (2 - 7) - 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/2 + 6\/(-2). Let q(f) = f**2 - f + 1. Let d(p) = -16*p**2 - 29*p + 5. Let b(h) = x*d(h) - 4*q(h). Determine w, given that b(w) = 0.\nAnswer: -3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5120 + 5115. Which is the smallest value? (a) 3 (b) o (c) 9 (d) -60\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 divided by -4?\nAnswer: -149\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-6)*0*1. Suppose s = -2*t + 6, 0*x = -x - 4*t + 134. Suppose -3*v + x = 5. What is the highest common divisor of v and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -0.8. Let t = y + -0.3. Let g = -8 - -7.6. What is the nearest to t in -2\/7, g, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 6*h + 53. Let d be (-3 - (-58)\/12)\/(10\/60). Let n be i(d). Calculate the greatest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/(sqrt(40)\/sqrt(5)) + -3)**2*1.\nAnswer: -6*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - 13*y + 17. Let q = -4 + 16. Let l be d(q). What is the third derivative of -l*a**2 + 5*a**2 + 4*a**6 + 5*a**2 + 0*a**2 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-5 - -4 - (-5 - (4 + -4)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/2*1\/3. Let n be 86\/(-21) - (-38)\/399. Which is the nearest to 6? (a) n (b) g (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 116, 457, 1030, 1841, 2896, 4201, 5762?\n\"Answer: l**3 + 110*l**2 + 4*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 73.50702 months?\nAnswer: 0.6125585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 + -51. Solve 3*a = q*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 49480*f + 49494. Determine h(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, u: 2, h: 11}. Give prob of picking 1 j and 2 u.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -20, -4\/7, -12?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 PM and 7:55 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 407*o**3 - 421*o**3 + 12*o**2 - 5*o**2 wrt o.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 5*r**2 + r - 2. Calculate v(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 + -31 + (-20 + 13 - 11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 94. Put 8, 1, o in descending order.\nAnswer: 8, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 157572199?\nAnswer: 2381, 66179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) - sqrt(26)\/sqrt(2)*3)*-1)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1386315 - -38.977\nAnswer: -1386276.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -335283 (base 9) to base 15\nAnswer: -3e70c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + 12*i**2 - i - 3. Let c be b(-12). Solve -q = -c + 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) - (-6*-1*sqrt(84) - sqrt(84))) + sqrt(84) + sqrt(84)*1*-1)*3)\/(-5*sqrt(12)*-5 + sqrt(12) + -6*3*sqrt(12)).\nAnswer: -3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-62*w**2 - 84*w**2 + 19*w**2)*(-2*w**3 - 3*w**2 + 3*w**2).\nAnswer: 254*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -857087*u + 429082*u + 428610*u.\nAnswer: 605*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s - 3*s + s)*(-10 - 3*s**2 + 10)*(-18 + 18 - 5*s).\nAnswer: -60*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hjppjjhpnjwhdnw. What is prob of sequence wwh?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22438267 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.9 times 80?\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 65*a**5 + 36*a**4 + 396*a**3 + 668*a**2 + 309*a - 6. Let r(v) = -11*v**5 - v**3 + v + 1. Let t(h) = 30*r(h) + 5*z(h). Solve t(s) = 0 for s.\nAnswer: -7, -1, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/40 - 14\/(-10). Let f(m) be the first derivative of 0*m**p - 5\/6*m**6 + 0*m - 9\/4*m**4 - 2\/3*m**3 - 1 - 12\/5*m**5. Find a, given that f(a) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) 0.3 (b) 1.7 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1185719, 4742935, 10671629, 18971801, 29643451, 42686579?\n\"Answer: 1185739*x**2 - x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -172*w**5\/5 - 271*w**3\/3 + 375*w. Find the second derivative of a(m) wrt m.\nAnswer: -4128*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 18690*a*o**2*r + a*o - 5*a*r + a + 5*o**3*r + 4*o**3 + 11*o**2 - 20*o - 427 wrt r.\nAnswer: 18690*a*o**2 - 5*a + 5*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 + 29*k**2 - 40*k - 51. Let r be p(-30). Let j = -29 + r. List the prime factors of j.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*q + 109*q + 33*q + 88*q.\nAnswer: 162*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 6*h + 3. Let a be z(0). Let q = 17 - 17. Suppose 4*y - 6*y = q. Solve a*b - b + 10 = y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2340 + -2454. Are l and -3\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 6 = 48. Let m be 282\/30 - -1*f\/15. Let i = 150 + -105. Calculate the highest common factor of m and i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30657840 to the power of 1\/3, to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 12*u - 16. Let f be r(-14). Suppose 11*x - f = 8*x. Suppose -5*z + 529 - 97 = -3*m, -3*z = x*m - 265. Does 29 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**5 + 0*o**5 + 2*o**5 + 67*o**3 - 2*o**5 - 67*o**3 + (-27*o**4 - 18*o**4 + 4*o**4)*(4*o - 6*o + o).\nAnswer: 38*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 71 - 13. Calculate the greatest common factor of g and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7305 + 7309. Let o be ((-8)\/12)\/(2\/(-9)). Let t = -2 - -5. Solve -t*x = -5*c - 11, -x - 9 = o*c - f*x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 46102 and 70966.\nAnswer: 6315974","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -3*m + 901. Suppose -5*r = -79 - m. Suppose 40 = 5*a - 4*u, -6*a + a - 3*u = -r. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -2*q + 7*q, 0 = 2*r - 3*q - 83. Calculate the greatest common divisor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 391 - 249. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of u**6\/72 - u**5\/40 + 3*u**4\/4 + 5*u. Let s(h) be the third derivative of p(h). Let d(n) = 3*n - 1. Give -7*d(t) + 2*s(t).\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, o: 2}. What is prob of sequence ouo?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(30\/(-16))\/3*-4. Let m be b\/(-4)*(-3)\/90*-3. What is the third biggest value in -3, m, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/7*j**2 + 362\/7*j + 0 = 0. Calculate j.\nAnswer: 0, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7226, -7022, -6682, -6206?\n\"Answer: 68*a**2 - 7294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0403 less than -1?\nAnswer: -0.9597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 603\/14 less than -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-56) - 2\/56. Let c(b) be the first derivative of -1 - b + 0*b**2 + 0*b**3 + q*b**4. Differentiate c(v) with respect to v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16023 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/2544 and -19\/209274?\nAnswer: 88732176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 197*s**5 - 147*s**5 + 2*s**4 - 174*s**5 + 0*s**5 - 4*s**5 + 2*s**5 + (3*s**2 + s**2 - 3*s**2)*(2*s + s**3 - 2*s) + 2*s**5 - 4*s**5 + 4*s**5.\nAnswer: -123*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9865 - 24254 = -38*f - 4555. Solve -787*x + f*x = 18 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -h - 5*x, -26 = -4*h - 2*x - 8. Let m = -65\/4 - -327\/20. What is the second biggest value in -1, m, h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-8 - (17 + -19)) + -10\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -841741+-116.8\nAnswer: -841857.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.07 + -0.03. Let t = -0.1 + -0.3. Let w(z) = -z**3 + 4*z**2 - z. Let a be w(4). Put a, m, t in decreasing order.\nAnswer: m, t, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 11*n**2 + 5*n - 11. Does 2 divide m(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 8*x + 11. Let n be z(8). Suppose 28 = 3*u - n. Suppose 39 = 4*o - u. What is the remainder when 63 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 4. Let d = 3 + 0. Let r = 5 - d. Suppose -r*z = -3*z. Determine q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 19649\nAnswer: -19648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6209944 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.8 - 1. Let s = -14 + 14.017. Let r = s - -0.483. Sort -5, t, r.\nAnswer: -5, t, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*g**4 - 51*g**3 - 98*g**2 - 24*g.\nAnswer: -g*(g + 3)*(g + 4)*(7*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 - -7) + 35\/(-14). Determine z, given that 1\/2*z - 3\/2*z**4 + 0 + v*z**3 - 5\/2*z**2 = 0.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117417027 and 182.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(((-15)\/10)\/((-372)\/164424)).\nAnswer: 1\/221","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 15. Let c(p) = p - 5. Give c(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 4*r - 28, 5*j = -0*r - 3*r + 16. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/18036 and -65\/81?\nAnswer: 54108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 6:29 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 16717050 a multiple of 945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2\/13)\/(a*a**15))**(-1\/15))**(-1\/2))**27 assuming a is positive.\nAnswer: a**(-189\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 945795261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9\/52 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.9 - 257.1. Let l = h - -291. Let p = -2 - -6. What is the biggest value in p, 3, l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 8*h - 19*h + 32*h.\nAnswer: 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000100111 (base 2) to base 12.\nAnswer: 39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 2*d - p, -3*d - 5*p - 1 = -0*d. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -1495215.\nAnswer: -32\/1495215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91991 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -455 - -450. What is the lowest common multiple of (u\/(-25))\/((-2)\/(-60)) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48308 is divided by 732.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (64 - 180) + 63 + 57?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 11*h - 25. Calculate s(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 76.7 + -72. Let j = 13.4 - y. Round j to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 10 = i, -397840 = 5*t + 4*i. Suppose 3*f - f - 739144 = 0. Let x = t + f. What is x rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 41802*q + 334407. Determine v(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 9*z - 6. Let v be o(8). Suppose 155 = v*q - 3. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.23 plus 62.70905?\nAnswer: 60.47905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wz when two letters picked without replacement from {j: 2, v: 4, r: 7, w: 3, z: 2}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61320988*t**3 + 10321*t**2 - 210*t.\nAnswer: -367925928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 19684?\nAnswer: 137788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r = 9*r - 77190. What is the thousands digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-17)\/6)\/(-17))\/((-2)\/4). What is the nearest to -2\/5 in -2, t, -0.07?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**2. Let y(f) = 588 - 588 - 111*f**2. What is r(y(p))?\nAnswer: -36963*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -5445418 >= -5445418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*h + 85*h - 26*h.\nAnswer: 97*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*((-4)\/14)\/(2\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/z**(2\/15))\/z)\/z**1)**(-45) assuming z is positive.\nAnswer: z**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3047 + 3023 - (-145)\/6.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2620?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 9*t**2 + t - 3. Let o(a) = -a - 1. Let g(z) = d(z) + o(z). Let x be g(-9). Let f be 3*-2 - (-3)\/3. Are f and x unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3856 + -3846. Solve 0 = m*d - 15 + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**2. Let h(g) = 18*g. Let z(c) be the third derivative of c**4\/8 - 3*c**2. Let v(a) = -6*h(a) + 34*z(a). Calculate v(o(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4\/15 (b) -15876 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 90\/4*(110\/15)\/(-11)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 20*g - 2 + 12*g - 4 + 62*g.\nAnswer: 54*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5824.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4, 5*d = -4*b + 2*b - 5. Let w(m) be the second derivative of -m**5\/20 - m**4\/4 + 5*m**3\/6 - 3*m**2\/2 - m. What are the prime factors of w(b)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 394*o - 1391 = 4913 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 43 = -8. Suppose -3*w = -f*v - 15, 5*v + 6 + 9 = -3*w. Is v less than or equal to -5\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28.6 in -0.083, 0.03, 4?\nAnswer: -0.083","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.995257 rounded to one decimal place?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.41 - 1.5. Let x = a + 0.09. Let s = x - 0.75. Round s to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - -2. Suppose 162*d - 20 = 157*d. Solve l*h + 26 - 1 = r, d*r = h + 24 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n**2 + 1403*n + 35976. Determine s(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32791417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24490.041 months in years?\nAnswer: 2040.83675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.60236306 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u - 29*u**2 + 18*u - 33*u. Let q(m) = 16*m. Give q(d(g)).\nAnswer: -464*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 5*d - d**2 - 5*d - 65. Let v be z(0). Does 24 divide ((-35)\/25)\/(1\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - (-2 - -1 - (-3 - -6))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 + -3 + 1\/1. Let s = 26 - r. Solve 2*u - s = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 668970 or 668958?\nAnswer: 668958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -i**3\/3 + 4*i**2 + 88*i + 151. Let l be t(14). Factor l*g**3 + 4\/5 + 28\/5*g + 53\/5*g**2.\nAnswer: (g + 2)*(4*g + 1)*(5*g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10002259?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - 31 - -25 - (0 - (0 + 0))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 191567.8+-0.06\nAnswer: 191567.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1134587 at most 1134583?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2969769, 5939443, 8909117, 11878791, 14848465, 17818139?\nAnswer: 20787813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 5*p + 0*p)*(5*p + 0 + 0).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(744\/1326 - (-129)\/(-731))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 14*h**2 - 14*h + 28. List the prime factors of f(-13).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) 86.335 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 20126904 to the power of 1\/3, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.880733g?\nAnswer: 0.001880733","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (445 - 2245 - 3400 - 2858)*((-2*i + 1 - 1)*(2 - 2*i - 2) - 2*i**2 - 1 + 1).\nAnswer: -16116*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -570 + 488 + (47 - 3).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03589819 to four dps.\nAnswer: -0.0359","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 30 = 4*k, -5*k - n = -0*k - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 6*t - 1. Let b(h) = 19*h - 2. Give 2*b(j) - 7*p(j).\nAnswer: -4*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**2*n*x**2 - 21*c**2*u*x**2 - 4*c**2*u*x - 2*c**2*x**2 + 8*c*n*x**2 + 2*n*u wrt u?\nAnswer: -21*c**2*x**2 - 4*c**2*x + 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**5\/13 + 30*j**4\/13 - 76*j**3\/13 + 8*j**2\/13 + 72*j\/13 - 38\/13 = 0.\nAnswer: -19\/2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/60 - 1\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 h when two letters picked without replacement from {r: 6, h: 4, o: 2, c: 3}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, q: 1, z: 3, j: 5, l: 4, a: 5}. Give prob of picking 1 j, 1 a, 1 q, and 1 y.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by -49?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1572\/7 + -227. Let j = -169 - -35. Let m = 1211\/9 + j. Calculate the common denominator of m and g.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/12*12 - 2884*(-246)\/88396?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 8799075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -139 - -245. Let r = -2 + 4. Suppose 76 = 4*z - 4*u, 2*z = -2*z - r*u + g. Is z a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0861 + 64.8139. Let k = i - 65. What is the closest to k in -5, 2, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1200 + -740. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2265 a factor of 271759230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7299932?\nAnswer: 2, 587, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/5176 - 55687\/77640. Let q = 3\/640 + 4877\/640. Find the common denominator of s and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 2*y + 5 = 22, -3*j + 7 = -5*y for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (1 + 1)) + -14 - (-194 - -194)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 11.05. Let o = t + 0.05. Let a = 0.4 - 4.4. What is the third biggest value in a, o, -4\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eevddfvzzdzd. What is prob of picking 1 z and 1 d?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventeen halves of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15425603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -523 and 35.265?\nAnswer: -18443.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 84*f - 572. Suppose -x + 26 = -0. Calculate the smallest common multiple of k(7) and x.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5892587 or -5892598?\nAnswer: -5892598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otxlokooookxddx. Give prob of picking 1 l, 1 d, and 1 o.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68294.46l to millilitres.\nAnswer: 68294460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, w: 1, h: 2, z: 2, o: 4, k: 1}. What is prob of picking 2 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -m - 2*a, -8*m - 28 = -13*m + 2*a. Sort 5, 2, -9, 1, m in ascending order.\nAnswer: -9, 1, 2, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -d + 5, 0 = u - 5*u + 4*d + 28. Let k be ((-6)\/(-14))\/((-207)\/(-1449)). Solve -g = -k*g - u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5355)\/119*-3*1*13\/(-39)*-1\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 4. Let q be 0*((-3)\/(-2) + n). Which is the nearest to 0? (a) -4 (b) q (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -85378\/9, -10, 3 in descending order.\nAnswer: 3, 1\/4, -10, -85378\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2726 (base 8) to base 5.\nAnswer: -21434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hchhjhcjhjcc. Give prob of picking 3 j.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1177.2753 rounded to the nearest 100?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2893 + 3875 + 941)*(2*p**4 - 2*p**4 - 2*p**4) to m*p + x*p**4 + i*p**2 + t*p**3 + u and give x.\nAnswer: -15418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76828?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5 = c - 4*b, 0 = -4*c + 4*b + 40. Put -5, c, -3 in ascending order.\nAnswer: -5, -3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 800 - 1062 + 38*g**2 + 262.\nAnswer: 38*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**3\/3 + 4*d. Let v(g) be the second derivative of g**3 + 8*g + 4. Determine h(v(f)).\nAnswer: 12*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + (-6 - -11) + 2. What are the prime factors of -15*(-1116)\/27 - o\/(-1)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + 5*c**3 - 1 - 30*c - 2*c**2 + 0*c**3 to the form o*c + y*c**3 + v*c**2 + d and give o.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 182 - 80757?\nAnswer: -80575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 4. Suppose -k - 22 = -5*z, -5*z + 3*z + 4 = 2*k. Is l(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14 - 15)\/((-1 - 0)\/2). Find the second derivative of -j*o**5 - 19*o**5 - 3*o + 18*o wrt o.\nAnswer: -420*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -267069 to the nearest 1000.\nAnswer: -267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2129124\/1219 or -1746?\nAnswer: -2129124\/1219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of -17*v**3\/3 + v**2 + v - 2. Let d be a(-2). Let u = d - -100. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 879633.1l to millilitres.\nAnswer: 879633100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 327.47?\nAnswer: -328.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 108*q - 107*q + 104707, q + 52354 = 3*w. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 80*x - 236. Calculate n(0).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -5*m + 88. Calculate the greatest common divisor of m and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 2, c: 4, p: 1, h: 8}. Give prob of sequence hp.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**4\/4 + 7*f**3\/3 + 9*f**2\/2 + f - 22. Determine r(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5533139553.\nAnswer: 3, 71, 401, 64781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*w - 809, -58*w = 3*f - 62*w - 2459. Calculate the remainder when 1670 is divided by f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 - 1)*(0*u**2 + 3*u**2 - u**2) + 4 + 2784*u + 21*u**2 + 12*u**2 - 2781*u - 4 as n*u**2 + l*u + m and give n.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 117*k**4 - 924289*k**2 + 121438979.\nAnswer: 468*k**3 - 1848578*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of -k**6\/120 - 13*k**5\/60 - 7*k**4\/4 - 3*k**3\/2 - 64*k**2. What is q(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -18, -4\/7, -0.4138, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.044, -1\/9, 3, -1.9 in descending order.\nAnswer: 3, -0.044, -1\/9, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(0 - 4 + 3)*(0*b**2 + b**2 + b**2)*(4*b**2 - 3*b**2 + 2*b**2) to l + h*b**3 + m*b + w*b**4 + y*b**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 18214?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of 0*g - 1\/60*g**5 - 4*g**2 + 0 + 0*g**3 + 0*g**4. What is i in z(i) = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -42*n + 86. Let l(p) = -p**2. Let c(z) = 6*z**2 + 1. Let y(t) = -c(t) - 4*l(t). Give y(n).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2729, -10340, -23013, -40742, -63521, -91344?\nAnswer: -124205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -3*p**3 + 133*p**2 - 155*p + 4863. Determine b(44).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 4072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5*y + 25 = 0, -3*y + 5*y = 2*b + 10. Let l(n) = -n**2 + b*n**2 - n - 86 + 91. Determine l(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fourty-eight fifths of a microsecond?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13467 - 10843.\nAnswer: -24310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -256*s = -253*s - 2*d - 46341, -6 = -d. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 156 = -156. Suppose x = 6*u - 3*u + 2*b - 1078, -3*u + b + 1072 = 0. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*s - 32 = -0*s, 2*s = -2*v - 56. Let o be (-6)\/(-4) - 39\/v. Solve -5*j - o = 7 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 298 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*v + 5*v - v + (1 + 2 - 1)*(0*v - v + 3*v) to y*v + b and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - 6*m**2 - 9*m + 3. Is w(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/5)\/((-3)\/50). Let f be ((-42)\/35)\/((-6)\/y). Solve 6 = -2*h - f*i, h + 5*i = -1 - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u - 4*x + 5 + 5 = 0, -5*u + 23 = -4*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 1422505?\nAnswer: -1422514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/10350 and -1\/11349810.\nAnswer: 56749050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16*(1 + (-6)\/(-4)). Suppose -3*k = -2*r + 36, -282*r - 190 = -287*r - 5*k. What is the highest common factor of v and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 58 and 0.7.\nAnswer: 40.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**3 + 44040*w**2 - 96976080*w = 0.\nAnswer: 0, 4404","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:56 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0 (c) -44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-10))\/((-2 + 0)\/(-4 - -39)). Solve 11*h + l = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 9) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2*g**5 + 1528*g**4 - 13650*g**3 + 45388*g**2 - 66488*g + 36240 = 0.\nAnswer: 2, 3, 755","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*x - 5064 + 64, -5*y = -3*x - 25012. What is the hundreds digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/((-2*sqrt(20))\/sqrt(2)) + 2 - (5 + sqrt(500) + 0 + -5 + 2*sqrt(5)).\nAnswer: -25*sqrt(5)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = 3*x. Suppose 9 = 5*d - x. Solve 0*f = d*f - 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4982336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 - 2*p**2 - 2*p**2 - 39*p**3 + 5*p**2)*((0 + 1 - 2)*(-5 - 1 + 4) + 2 - 1 + 1 + 6 - 1 - 2 + 4 - 3 + 1)*(3 + 3 + 1).\nAnswer: 63*p**4 - 2457*p**3 + 63*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2686820 divided by -19?\nAnswer: 2686820\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times -0.5\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -203, -428, -649, -860, -1055, -1228, -1373, -1484?\nAnswer: -1555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(20) + 3*sqrt(40)\/sqrt(2))\/((sqrt(64)\/sqrt(4))\/sqrt(4)) + (-6*-1*sqrt(5) - (-2*sqrt(5) + 2)))**2.\nAnswer: -1448 + 96*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6284.\nAnswer: 2, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 - 28*h**2 + 17*h - 19. Let s(a) = -10*a**2 + 6*a - 7. What is -4*b(j) + 11*s(j)?\nAnswer: 8*j**3 + 2*j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57741124?\nAnswer: 2, 7, 263, 7841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 85 + -85. Let v(f) be the first derivative of -4 + 1\/12*f**3 - 1\/8*f**2 + o*f. Determine n so that v(n) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -5953*t - 47373. Give z(-8).\nAnswer: 251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - c - 23 = 4*c, 1 = d - c for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n + n + n + 34*n + 28*n + 35*n + (-2 + 3*n - 6*n + n)*(22 + 3 - 9) to d + v*n and give v.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-63)*4*270\/360\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Factor 8*b + 1 + 0 - t - 2*b**2 - 7.\nAnswer: -2*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43663 is divided by 10863.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 58*656601\nAnswer: 38082858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + w + 15, -g + 6*g + 3*w + 17 = 0. Let q = -126 + 63. Let n = q + 58. What is the fourth smallest value in g, -0.3, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2795675.\nAnswer: 5, 111827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5))**29*(o\/((o\/(o\/(o*o**(-2\/3)*o))*o)\/o))**21)**(1\/8) assuming o is positive.\nAnswer: o**(-93\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 83*d**2 + 8*d - 192. Let y be s(83). What is the greatest common divisor of 2006 and y?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 7. Let u be c(3). Suppose -4*m = -u*l - m + 16, l + 5*m = 4. What is the greatest common factor of l and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + 1)\/(-10) - (-4)\/(-20). Solve 0 = -2*t + 5*w - 15, -5*t + 4*w + 3 + 2 = i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -5*x**4\/4 - 2*x**3\/3 + 7*x**2 - 8*x - 370. Let f(y) = 3*y**3 + y**2 - 9*y + 5. Calculate -5*b(u) - 8*f(u).\nAnswer: u**3 + 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8474 - 8474. Let a = 1 - 2. What is the closest to -3 in a, -2, m?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 9. Let u = 82 - 82. Let d be f(u). Suppose d*c - 138 = 8*c + 4*l, -4*l + 20 = 0. What is the remainder when c is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -c**3\/3 - c**2\/2 + 9*c + 71. Let b be x(-3). Solve -a - b = -0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - a. Suppose a*m - 226 = -m. Suppose 44 = 6*j - m. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2 - -6 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/160 and 69\/20?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/8 - 39*j\/8 + 621\/2.\nAnswer: -3*(j - 23)*(j + 36)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 3, k: 7}. Give prob of sequence mw.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/2 + 4*o**2 + 17*o\/2 + 5.\nAnswer: (o + 1)*(o + 2)*(o + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.7 and -617.\nAnswer: 431.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14651 + 28543. What is the ten thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9371796*c*x**3 - 156*c*x**2 - 2*c*x - 27*c + x**2 - 7 wrt x?\nAnswer: -56230776*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 82163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*u**3\/11 - 140*u**2\/11 + 2150*u\/11 - 2500\/11 = 0. Calculate u.\nAnswer: -10, 25\/19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*j*l**3 - 23*j*l**2 + 36*j*l + j + 30*l**2 + 2*l + 50 wrt l?\nAnswer: -30*j*l - 46*j + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*2\/(-1 + 7). Let n = -6.26 + 0.66. Let q = 6 + n. Are q and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of j**5\/30 + j**4\/6 + j**3\/3 + j**2\/3 - 3*j - 7. Let v(d) be the first derivative of c(d). Determine w, given that v(w) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 + 12*x**2 - 30*x - 25. Let o be m(-14). Suppose 8*t - o*t + 249 = 2*k, 0 = 3*t + 3. Suppose -5*a + k = -608. Does 10 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + w - 9. Suppose -5*h = -3*t + 21, -h + 11 = -4*t + 39. Suppose 4*q - t*q = 0. Give v(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -835*s**3 - 10693630*s + 10693630*s + 424*s**3 + 420*s**3.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 196038, 193614, 191188, 188760?\n\"Answer: -u**2 - 2421*u + 198460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 3\/1798?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 1. Let m(j) = j + 19. Let n(z) = -m(z) - 6*p(z). Let t be n(7). Is 11 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b4a3b2 (base 12) to base 7.\nAnswer: -33056612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1305*g**2 + 12 + 15 + 1306*g**2. What is the smallest common multiple of 4 and c(7)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -821*x - 7. What is the tens digit of j(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 497423869*c**3 + 238170584 wrt c?\nAnswer: 1492271607*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 20 = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - (-6 - -12)) + -3 - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2 + (sqrt(637))**2 - (sqrt(13) - (sqrt(832) + 2))).\nAnswer: 7*sqrt(13) + 636","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.02 - -0.01. Let l = -42705.1 + 42704.8. Which is the third smallest value? (a) -5 (b) k (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5))**1\/(w**8\/((w*w**(3\/4)\/w*w*w)\/w)) assuming w is positive.\nAnswer: w**(-117\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjj when three letters picked without replacement from {u: 2, j: 11, d: 2, a: 1, q: 1, k: 1}.\nAnswer: 55\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.9 - 2. Let s = -4.9 + p. Let w = 36.9 - 37. Which is the smallest value? (a) -0.4 (b) s (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1210102212020 (base 3) to base 12.\nAnswer: -39b906","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 < 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/12*(-54)\/3. Let r be (5\/15)\/((-2)\/l). Suppose b - 125 = -r*x, 3*b - 168 = -2*x + 195. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 1:50 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457 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: Suppose 5*x - 1 - 24 = -l, -x - 1 = -l. Suppose l*b = -b - 54. Let k(n) = n**2 + 5*n - 6. Let d be k(b). What is the greatest common divisor of d and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - q**2 + 7*q + 5. Let a = 216 - 142. Calculate the remainder when a is divided by k(-4).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 36 + 76 - 18*s + 22*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**1*l*l)**(-22)*(l**(-1\/5)\/l*l)\/(l**6*l))**(-34\/7))**(-27) assuming l is positive.\nAnswer: l**(-235008\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = b + 19, 6*u = 8*u + 8 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u**2 + 0*u**2 - 3*u**2)*(-2*u**2 + u**2 + 2*u**2) - 10*u**4 - 20*u**4 + 4*u**4 - 4*u + 1082 + u**2 - 7*u**4 - 1082.\nAnswer: -32*u**4 + u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6765103, -27060752, -60886833, -108243346, -169130291?\n\"Answer: -6765216*b**2 - b + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 93\/197, -3, -8\/23 in increasing order.\nAnswer: -3, -8\/23, -1\/5, 93\/197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-3 + 4) + 4. Let h = g - -12. Which is the third biggest value? (a) 5 (b) h (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-96)\/(-54))*9\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.20092 - 0.29908. Which is the nearest to 2? (a) -0.3 (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0 + 1\/2*x**3 + 1\/20*x**5 + 1\/2*x**2 + 2*x + 5\/12*x**4. Let s be i(-4). Solve -s = y, 4*g - 5 - 21 = 2*y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195704 to the power of 1\/3, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 877895776?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 5*s + 2*s - s + 35 - 3*s**2 - 32. Let c be i(4). Let j(o) = -o**2 + 2*o. Calculate j(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + (26 + -42 - 14) - 9\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4767 greater than 1885?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 228528 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1866 is divided by 1770.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozz when three letters picked without replacement from {q: 8, k: 3, y: 1, g: 1, o: 2, z: 3}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in -0.5, 1, -0.3, -7\/6, -3\/4, 5\/483?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*v - 100, 3*v + 11*t = 16*t + 86. What is the highest common factor of 22 and v?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**4 + 405*n**3 + 1233*n**2 + 1239*n + 414 = 0. Calculate n.\nAnswer: -1, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + l + 1. Let u(g) = 6*g**3 + 6*g**2 + 5*g + 5. Let i(h) = h**3 + 96*h**2 + 182*h - 559. Let b be i(-94). Determine b*o(d) - u(d).\nAnswer: -d**3 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 7 + 3)*(8*a**4 - 2*a**4 - 18*a**4) as g*a**3 + b + n*a + f*a**4 + q*a**2 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -1, 5, 0.1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 108832 and 68590?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.197682 to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2 + o + 7. Suppose 2*p + p = 5*u + 6, -3*p = 5*u + 24. Give x(p).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 30.5 - 31. Which is the third smallest value? (a) -2\/11 (b) -1\/80 (c) 0.2 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54982.\nAnswer: 2, 37, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, 3, -3, 440\/61, 4 in descending order.\nAnswer: 42, 440\/61, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(54) + -2 + sqrt(2)*1 + (sqrt(8) + sqrt(32)*-1 - sqrt(8))\/sqrt(4).\nAnswer: -2 - 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2655? (a) -3 (b) 5\/2 (c) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q - 6. Let g(h) = -6*h + 7. Let r(o) = -6*g(o) - 7*n(o). Let t be r(0). Let x(c) = -4*c - c**2 + 3*c + 5 - c**3 + 2*c**3. Give x(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 17*d + 11*d as n*d + o and give n.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 581 = -o, -4*t - o + 0*o = -2336. List the prime factors of t.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -398*o**2 + 392*o**5 + 30*o**4 - 131*o**4 + 101*o**4 wrt o?\nAnswer: 23520*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Suppose 5*z + d - 9 = -5, -12 = 5*z - 3*d. Let t(p) be the third derivative of 0*p + 0*p**3 + z + 6*p**2 - 1\/8*p**4. What is x(t(a))?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2 - 263*k**3 - 257*k**3 - 249*k**3 + k**2 + 3*k + 771*k**3. Calculate o(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 10\/3*q**3 + 15*q + 25\/2*q**2 - 53. Let i(p) = 0. What is p?\nAnswer: -3\/2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6745781, 13491566, 20237351, 26983136, 33728921?\nAnswer: 40474706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 9 + 9. Let s(w) = w. Let c(v) = 6*v. Let n(o) = -c(o) + 3*s(o). Give i(n(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the first derivative of -t**8\/240 + 3*t**4\/8 + 3*t**3 - 11. Let j(v) be the third derivative of u(v). Differentiate j(r) with respect to r.\nAnswer: -28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g*g**(-4)*g))\/g)\/g)\/g*g*g*g**14*g*g\/(g*g**(-1\/3))*g*g**0)**(-34) assuming g is positive.\nAnswer: g**(-1768\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s + 3. Let l be z(0). Suppose -3*t + 1 = -l*h - 5, 0 = -t - 3*h - 6. Suppose t*j + 3*j - 21 = 0. Is 3 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 3*n - 26. Let m be w(-7). What is the highest common divisor of 143 and m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*j = 14*j + m + 2470, m - 1967 = -4*j. Is 490 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/243, 3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2547\/269 or 8?\nAnswer: 2547\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0204150332 rounded to 3 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -26. Let z be x\/(-2) + 3 + 1. Let p be 5\/(-75)*6 - 13\/5. Put -1, 0, z, p in ascending order.\nAnswer: p, -1, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1311298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 3 - 28)*(-y**2 - 2*y**2 + 2*y**2) in the form x*y + h + q*y**2 and give q.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - (-41 - -21) - (-1 + 81)) + -1?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 4*w - 12 = 0, 3*q = 4*w + 8 + 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -31*i**2 + 4*i - 2. Let k(w) = 2*w. Calculate k(h(r)).\nAnswer: -62*r**2 + 8*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/14 - (-1 + (-288)\/(-63))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1*f)**(-35)\/((f\/(((f*f*f\/((f\/f**(-7))\/f)*f*f*f)\/f)\/f))\/f**(-3\/8)) assuming f is positive.\nAnswer: f**(-595\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -480 divided by -2.\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h + 3*h)*(2 - 2 - 2)*(7 - 2 - 3) + 193036 - 193036 + 488*h.\nAnswer: 460*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1319442008 to 5 decimal places.\nAnswer: -1.13194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2984*u**2 - 5966*u**2 + 2980*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 58 + 63*b - 107 - 62*b.\nAnswer: b - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23443, 92227, 206861, 367339, 573655, 825803?\nAnswer: 1123777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 + 7*p - 45. Let j(l) = -5*l**2 + 6*l - 45. Let g(a) = -7*j(a) + 6*u(a). Let d be g(0). Let k = d + -35. Does 2 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**23*(c*c**(2\/9))\/(c\/((c*(c*c**4*c)\/c*c*c)\/c)) assuming c is positive.\nAnswer: c**(272\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 + 0. Let o = -0.2 + g. Let s = -2.92 + o. Sort s, -5, -2 in decreasing order.\nAnswer: -2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3076509*c*p**2*z - 18*p**2*z - 136*p*z - 3*p + 3 wrt c?\nAnswer: 3076509*p**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**3 - 4*j**2 + 2*j + 5. Calculate p(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -7648, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50922952 is divided by 1261?\nAnswer: 1250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60647296?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2))\/(-2 + -8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 55, -9, 0 in descending order.\nAnswer: 55, 0, -9, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*z + 3*i - 9, 0 = -2*z + 2*i - 6. Let g be -5*z\/15*-7. What is the tens digit of ((-18)\/g)\/((-1)\/(-7))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**3 - 10613*b + 2281*b**4 + 54*b**5 + 2275*b**4 - 4551*b**4 wrt b.\nAnswer: 1080*b**3 + 60*b**2 - 12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1420*k**2 - 3398*k**2 + 662*k**2 to the form v*k + g*k**2 + a and give g.\nAnswer: -1316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*b**3 + 18 + 5*b**3 - 12 - 2*b**3 as l*b**3 + o*b + d + u*b**2 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5219*x + 146115. Determine r(-28).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 321690 and 1865802.\nAnswer: 9329010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/5 + 12*h**2 + 117*h\/5 + 58\/5.\nAnswer: (h + 1)**2*(h + 58)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 12?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -215228?\nAnswer: -1\/215228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -330*g**2\/7 + 596*g\/7 - 240\/7.\nAnswer: -2*(5*g - 6)*(33*g - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*h - 88 = 0. Let c = h + -15. List the prime factors of c.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 884*i**3 - 2*i**2 - 6*i + 17. Is u(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0034418 to 5 decimal places.\nAnswer: -0.00344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -5462 (base 8) to base 12\nAnswer: -17aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7\/(-21)*-143*6 and 1586?\nAnswer: 17446","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157947, -0.3, 13, 2\/11.\nAnswer: -0.3, 2\/11, 13, 157947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-2)\/sqrt(10) - sqrt(833)*1)**2.\nAnswer: 1377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, d: 3}. Give prob of sequence dy.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -72*i**2 + 1508*i - 1365. Give o(20).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/3 or 5?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 57971955 divided by 1136705\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsqsqqqqqxsoasxx. What is prob of picking 1 s, 1 x, and 1 g?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/2*3\/(-6). Let f be (-2)\/(-4) + 0\/1. Which is the smallest value? (a) 4\/5 (b) d (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -704*v + 207*v = -28475 - 12776 for v.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -490 + 494. Calculate the remainder when 2*(-27)\/4*-2 is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 499\/1869 + 5\/267. Sort -4, 0.5, -1\/28, p.\nAnswer: -4, -1\/28, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(605) - (sqrt(605) + sqrt(605)*-1)*-5)**2 + (6*sqrt(605)*1 - sqrt(605)))*1.\nAnswer: 55*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from -3279452488.\nAnswer: -3279452487.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2444709203 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1322091 is divided by 9510?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.46748ng?\nAnswer: 0.00000000000046748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4002 (base 16) in base 13?\nAnswer: -75c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 PM and 6:56 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104.9 + -105. Which is smaller: 51 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 120 = 5*n, 0*o + 120 = 5*n - 2*o. Calculate the remainder when n is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 24 - 16. What is the third derivative of -u*r**2 + 79*r**3 + 23*r**4 - 79*r**3 wrt r?\nAnswer: 552*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*z + 2549 - 2572, l + 8 = -3*z for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 16*c**2 + 15*c - 2. Determine j(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 77684881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/24)\/(165\/84 - 2). Let j be ((-60)\/5)\/3 + k. Suppose -2*c - z = -41, z = 5*c + j*z - 104. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/243)\/((-2)\/(-6))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -1a78b5?\nAnswer: -1a78ae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-3 + (-6*sqrt(5500)*-1)\/(2*(sqrt(99) - (sqrt(99)*-3 + sqrt(99)))) + 2).\nAnswer: -50*sqrt(5)\/3 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4384 - 3.4384. Sort -4\/5, -0.4, g, -5, 0.3.\nAnswer: -5, g, -4\/5, -0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23227508 divided by 3.\nAnswer: 23227508\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c + 35 - 85 + 50. Let s(i) = -i**2 - 7. Give n(s(g)).\nAnswer: -2*g**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.15 - 0.15. What is the fourth smallest value in -2\/21, z, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 91 - 0 - 0 - (-3)\/3. Suppose -7*l + 8 = z. List the prime factors of ((111\/l)\/(-1))\/((-2)\/(-8)).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 52, 1, 0 in ascending order.\nAnswer: 0, 1, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*s - 3*k - 5 + 117 = 0, -k - 16 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3059 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 149, 200, 251?\nAnswer: 302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-seven fifths of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4\/3 - 1742450*g**3\/3 - 253015646699*g**2 - 12144416493200*g\/3 - 48577219909696\/3.\nAnswer: -(g + 8)**2*(g + 871217)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - 7*d**2 - 7908*d - 47414. Calculate u(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 151616117 divided by 3?\nAnswer: 151616117\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 + 10. Let u be (32\/(-6))\/(g\/150). Suppose -5*k = -2*w - 112 - u, -2*k + 3*w + 100 = 0. Calculate the highest common divisor of 14 and k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 7*x**2 - 5*x**2)*(-4*x**2 + 3*x**2 + 2*x**2) + 4*x - 2*x**4 - 4*x + 2 - 2 + x**4.\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*p - 240, p + p + 3*c = 159. What is the highest common factor of 105 and p?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, 0.1 in decreasing order.\nAnswer: 8, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 8) to base 15.\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 7*l - 15. Let a(j) = 2*j**2 + 14*j + 29. Let o(h) = -6*a(h) - 11*y(h). Calculate o(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82\/17 - -280\/51. Let a(o) be the first derivative of 0*o + 8 + 0*o**2 + 0*o**4 - y*o**3 - 6\/5*o**5. Find the third derivative of a(c) wrt c.\nAnswer: -144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 58938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**5 - 4*w**5 - w**5 + (-4*w**2 + 0*w**2 + 3*w**2)*(4*w**3 - w**3 - w**3) + (-w**2 + 1499*w**3 - 1570*w**3 + 0*w**2)*(-4*w**2 + 3*w**2 + 3*w**2).\nAnswer: -146*w**5 - 2*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 189.9655285 to the nearest 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172827214.\nAnswer: 2, 7, 1763543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 215, 435, 655, 875, 1095, 1315?\nAnswer: 1535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/8 - (219\/8)\/3. Let i be (-3)\/(12\/(-11))*4. Let j = i + n. Solve 4*d + 8 = -w, -j = 5*w - 3*d + 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.708 and -0.4.\nAnswer: 0.308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 111988 in 1\/6, -0.5, -0.4, -2\/7, -2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(24\/108)\/((-5)\/(-9)))\/((-11194)\/193)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*((-3270)\/(-3655))\/(-109)?\nAnswer: 6\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**7*b)\/(b*b**(-1)*b))**12 assuming b is positive.\nAnswer: b**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-42)*(-1 - (-13)\/15).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 7*a + 113 = 0, 69*a = 4*p + 71*a + 94 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(-19) + (-2070)\/(-190) + -7. Suppose 0 = -j*w + k + 7, -k + 1 = 3*w - 6. Solve w*z = 2*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 2. Let w(r) = r**2 - 4*r - 7. Let u be w(-4). Let x be (40\/u - 2) + 1. Which is the third biggest value? (a) y (b) x (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-375)\/(-378) + 6\/21. Let r = -13\/9 + q. Let k = 7567\/17 + -445. Which is the nearest to 1? (a) -1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and 0.1?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2728222?\nAnswer: 2, 7, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 111 - 62. Does 13 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -21*g**3 - 2*g**2 - 2. Let n(r) = 4*r**3 - 63 + 3*r**2 + 0*r**2 - 2*r**3 + 18*r**3 + 66. What is 3*h(d) + 2*n(d)?\nAnswer: -23*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.2 and 77987744475.\nAnswer: 77987744473.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -214\/1517 or 1?\nAnswer: -214\/1517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 251315149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 - 1166*l + 24325. Calculate c(21).\nAnswer: -602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1321 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1. Let o(u) = 13*u + 1. Let c = 93 - 89. Let f(m) = c*d(m) + o(m). What is the derivative of f(z) wrt z?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5452 + (-2)\/2 + 1. Let n = a - 896. Let h = -38213\/6 - n. What is the common denominator of h and 33\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/10)\/(70\/(-700)))\/3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2506, 5013, 7516, 10015, 12510, 15001, 17488?\n\"Answer: -2*l**2 + 2513*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*d + 39 = -6*d, -5*g = 4*d + 201. Suppose 4*s - 200 = -s. Find the common denominator of s and (g\/6)\/((-4)\/8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 351 = f + 19*v - 15*v, 2*v + 1053 = 3*f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*o + 4*q, 241*q - 238*q + 12 = 2*o. Solve -3*y - 5*g - 1 = o, 0*y + 2*g + 13 = 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -b + m - 813, 0 = 5*b - 3*m - 801. List the prime factors of 15\/10 - b\/(-4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**2 + 9*d + 1. Suppose 17 + 7 = 3*f. Let y be w(f). Let l be 3\/y - (-10)\/6. Solve -4*j + 2*j - 4 = l*c, -3*c = j + 8 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 4*a + 72. Does 4 divide l(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 158 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 15975913 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/5, 0, 1\/4, 4, -19, 2356, -2?\nAnswer: 2356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.36 + 18.64. Let p = -15 + f. Which is the second smallest value? (a) 2 (b) p (c) -1\/26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(60 - 39 - 2*u - 50).\nAnswer: 2*u + 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 + 7)\/((-10)\/(-49255)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13943512 to the nearest integer?\nAnswer: 3734","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/12*-20 - (-3 - -5). Solve 2*z = 3*z - k*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 6*a**2 + 62*a + 18. Let f(j) = -6*j + 410. Let i be f(70). Calculate c(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from fytryrjt.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*v - 6*v + 40, 2*v - j - 17 = 0. Solve -w - 2 = 3*c - v, 3*w = -c - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/7*39\/(3744\/672)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c**2. Suppose 0 = 189*w + 25*w. Let x(j) be the third derivative of -1\/8*j**4 - 9*j**2 + w*j**3 + 0*j + 0. What is x(y(u))?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -6*r**2 - r - 1. What is the units digit of m(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*j + 132 = 0, 0 = -4*b - 2*j - 0*j - 294. Let x = b - -86. Calculate the remainder when 46 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1570 divided by -3156.\nAnswer: 785\/1578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 22 = 3*h, 0 = -109*h + 111*h - 23*l - 107 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**24)**(-6\/7)\/((r\/((r\/(r*r\/r**(-27)*r))\/r)*r)\/r**(7\/4)) assuming r is positive.\nAnswer: r**(-1423\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = 5*n - 133. Suppose -5*w + 173 = -112. What is the greatest common divisor of n and w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - x**2 + 2*x - 3. Give z(-3).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 516645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of y**2 + 9759. Let k(h) be the second derivative of -44*h**3\/3 + h. Determine k(a(u)).\nAnswer: -176*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 58 - 117 = 0. What is the first derivative of -12 + 5 + 11*v**2 - x*v**2 - 5 wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101 + 11010?\nAnswer: 1010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 224 and 165664?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b + 147 = 2*v, 0 = -5*b - 3*v + 246. What is the greatest common factor of b and 1088?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4\/3, -0.38, -0.1, -843, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 - 2098 + 7 - 1228)*(0 + 0 + v**3) in the form q*v**2 + o*v**3 + r + a*v and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -541*n**3 + 217*n**3 + 99*n**3 + 173*n**3 + 221*n**3.\nAnswer: 169*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, -1122, -0.358 in decreasing order.\nAnswer: 1\/13, -0.358, -1122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 11\/6*s**3 + 0 + 0*s**6 + 11\/56*s**8 - 2\/3*s**4 + 0*s**7 + 0*s**2 + 100*s + 0*s**5. Find the third derivative of y(q) wrt q.\nAnswer: 1320*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*z - 1229 = -1229. Solve 3*y + 0*y + 27 = z for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**7\/21 - z**4\/6 - z - 1. Let n(v) be the first derivative of r(v). What is the third derivative of n(q) wrt q?\nAnswer: -120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -4*d + 0*d + 6*d - 3*d + 16. Let b be g(13). Suppose -x = b*q - 2, 8 = -4*x - 8. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iccccicimciic. Give prob of picking 2 i and 2 c.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22524?\nAnswer: 2, 3, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 + 4*d - 3. Let a be i(4). Let s = -1 - a. Suppose 2*t + z = 6*t - 22, 0 = -3*t + s*z + 19. Calculate the smallest common multiple of 10 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 7*w + 0*w)*(50 - 22 + 105).\nAnswer: -931*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*b = 325, -1049 = -5*x - 4*b + 576. Is x a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20672*w**5 + 14*w**4 + 8878*w + 171.\nAnswer: -413440*w**3 + 168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 0, 2*u + 2*r = -18 + 64. Solve -u*y - 17 = 29 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1980, -2574, -3168, -3762?\nAnswer: -4356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -393\/8? (a) -0.4 (b) 4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5987*m - 5989*m - 5 = -n, 5*m - n = -17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 5*l**2 - 14*l. What is the common denominator of 2 and y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 4:54 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {n: 4, l: 6, a: 2, q: 2, w: 4, f: 2}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 + 1 + (-3 - 4 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 56 = 24. Let d = 28 - l. Let j = 6 - d. Let i(y) = -y**3 - 7*y**2 - 4*y + 6. Calculate i(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6\/((-936)\/510))\/(-3) and (25\/(2625\/18))\/(27\/(-120)).\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-26) - (-6992)\/5928?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1349309 from -14830.\nAnswer: -1364139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 0.2, 62076?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1252 + -2025. Let z = -781 - h. Let c(g) = -g. Determine c(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*k - 2*k + 2*k + (1 - 5 + 2)*(3 - 2*k - 3))*(0*k**2 + 2*k**2 + 0*k**2) in the form f + o*k**3 + y*k + a*k**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3030655 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 14.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000004147 to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 2 + 4*m - 2*m**2 + m**3 - m**2 - m. Let r be q(3). Solve n - 5*u + 11 = -17, 2*n - r = -2*u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*a + 2*o, -5*a - o + 4 = -5. Suppose 5*g - d + 463 = 0, 2*d + 3 = -a. What is g rounded to the nearest 10?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrvooecrrveorrecre. Give prob of picking 2 v and 2 r.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - ((13 - 2) + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*j = -0*k + 194, -3*k - 293 = -2*j. Let d = k - -503\/5. Determine x, given that 0 + 4\/5*x + 2\/5*x**4 + d*x**3 + 2*x**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 253021 and 250016.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7373 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h - 6. Let v(q) be the first derivative of 72 + 2\/3*q**3 + 0*q**2 + 0*q. Determine g(v(s)).\nAnswer: 4*s**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220136958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.25 + 11387992204.\nAnswer: 11387992201.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15940 - -206152\/13. Let j = 82 + p. Put j, 0.5, -3 in decreasing order.\nAnswer: 0.5, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 15, -1963 = -5*o - 2*j - 227. Let k = o - 135. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26176099*g**2*j**3 - g**2*j**2 - 436909*g**2*j + 23*g*j**2 - 2 wrt j?\nAnswer: 157056594*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 246189?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9730 is divided by 174.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 102.04. Sort -25, -1, h, -2, -5 in decreasing order.\nAnswer: h, -1, -2, -5, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9520 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -77.\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 3*l**2 - 1. Let f be u(-2). Suppose 11 - 2 = -3*h. What is the second biggest value in -1, h, f?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2810 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 41560, -35, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 3*h - 111. Solve h = d - 0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = w + 3*w + 3*i, 3 = w - i. Let o be w + (24\/9)\/(-4). Which is greater: 5 or o?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**3 + 0*j**3 + 3*j**3 - 4*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 20 = -5*n, 6*u - 25 = 6*n + u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - q + 2, -3*r + 5*q - q + 27 = 0. Let y(p) = p**2 + 4 - r*p - 11 + 9. What is y(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 b when two letters picked without replacement from {d: 10, s: 1, o: 2, b: 1, q: 4}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-58)\/(-252) + (-18)\/63. Suppose y - 4*b = 5*y - 416, -5*y + b = -526. Suppose y*q - 103*q = 2. What is the second biggest value in q, m, -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-2 + sqrt(7))**2 + 1 + (-3*(sqrt(112) + sqrt(7)))**2 + (sqrt(343) + 2*sqrt(343) - (2 + sqrt(28))**2)).\nAnswer: -6220 - 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -13. Let c = 5 + -11. Let q = c - -4. Sort -4\/3, l, q in ascending order.\nAnswer: q, -4\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12164150.145 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -666 + 665.8. Which is the fourth smallest value? (a) 13 (b) 5\/4 (c) 4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90 and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 813868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*s**2 + 1623174*s + 177042131.\nAnswer: -14*s + 1623174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 253696 and 507392.\nAnswer: 507392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 5*x**2 - 3*x**2)*(0 - 2*x + 0) - 342*x**3 - 29597*x + 29597*x.\nAnswer: -338*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 6*x - 11 + x + 4*x.\nAnswer: 5*x - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 26*i**2 + 25*i + 59. Let j be d(27). Suppose 2*w + 3*y = -0*w + 21, 42 = j*w + 4*y. Suppose u = -u + 20. Solve w*a - a + u = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 172.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340800 = 45*c - 341745 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6207, -6130, -6037, -5952, -5899, -5902?\nAnswer: -5985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*d - 23, -28*j - d - 1 = -23*j. Let v(a) = 15*a + 6. Let c(b) = -b - 1. Determine j*v(g) - 5*c(g).\nAnswer: -10*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 265.198 - 45.362.\nAnswer: 219.836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q**2 + 431*q + 540. Give o(-142).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -0.773.\nAnswer: -0.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0334358 rounded to 4 decimal places?\nAnswer: -0.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 2*x - 63. What is the highest common divisor of 1 and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 10, l: 2}. Give prob of sequence llbb.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 994506143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -o + 2. Let d(a) = -a**2 + 3*a - 4. Let s(y) = -y**2 + 4*y - 5. Calculate o*s(r) - 5*d(r).\nAnswer: r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*b - 52, -2*b - 5*h + 18 = -11. What is the highest common divisor of b and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*h + 11*h + 460. Calculate the highest common divisor of 1357 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/50805 and -61\/39515.\nAnswer: 355635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*g - 42. Let v = 9 - 20. Let p = g + v. Which is the nearest to -1\/3? (a) p (b) -3\/5 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10 (b) -2 (c) 6\/7 (d) -10.2 (e) -0.4 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + 1*(sqrt(425) + (-1 + sqrt(425) - sqrt(425))) + 1*sqrt(425) + 4 + (sqrt(425) - (sqrt(425) + (sqrt(425) + -1 - sqrt(425)) + -3))))**2.\nAnswer: 560*sqrt(17) + 6996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p + 0*p)*(-p**3 - 2*p**2 - 1 + 1).\nAnswer: -2*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 - 17. Suppose 75 = -33*c + 36*c. Suppose l = -4*s + 19, -l - 2*s = -2*l + c. What is the remainder when l is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11447 + 11510. Solve 195 = -j*x + 24*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.57 in -10, 0.2, 14, 1\/3, -23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21651 + 19.\nAnswer: -21632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1301461 from -74.\nAnswer: 1301387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 44*u. Is 22 a factor of i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1640\/117 - (39\/8 - 80\/(-640))) + -9\nAnswer: 2\/117","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) -42 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*w = 4*a + 65*w - 11624, 5*w = -5*a + 14535. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2648024 is divided by 667?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4325, 7711, 11097, 14483, 17869?\nAnswer: 21255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 111dda2 (base 14) to base 7\nAnswer: 126136562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**3 + 12*d**2 + 10*d - 21. What is the tens digit of t(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 246.76, 4, -3\/5 in decreasing order.\nAnswer: 246.76, 4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 15*k**4\/2 + 11861139*k**3\/2 + 1112376591*k**2 + 51944180322*k - 20956031940 = 0.\nAnswer: -790555, -94, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -84364\/17 not equal to -4962?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-169)\/(-1014) - (-19)\/(-120). Let q(w) be the third derivative of 0*w + 0 + i*w**5 - 1\/240*w**6 - 1\/12*w**3 + 1\/48*w**4 - 12*w**2. Factor q(r).\nAnswer: -(r - 1)**2*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -1 (c) 39 (d) -91 (e) 0.02 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-946)\/(-121) - ((-24)\/(-32))\/((-9)\/(-96))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899.5141 milligrams in kilograms?\nAnswer: 0.0008995141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*w = 3*w + 4160. Calculate the highest common factor of 48 and w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 122*x + 357. Determine q(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-74)\/(-148) + (1 - (-3)\/(-2)). Let n = -5199\/11 - -473. Factor s*y**2 - 2\/11*y**4 + 4\/11*y - n*y**3 + 2\/11.\nAnswer: -2*(y - 1)*(y + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, w: 1, p: 1}. What is prob of sequence cp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39634*c - 6948 = 39441*c for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 2 + 1)*(-2 - 3 + 4)*(-276*k**2 - 222*k**2 + 153*k**2) to b*k**2 + y + q*k and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 1117*k**2\/2 - 1225049*k\/4 + 6350645.\nAnswer: -(k - 20)*(k + 1127)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(513)\/sqrt(9)*1)\/(-3*sqrt(300)).\nAnswer: -sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 455667*u**3 + u + 2164805 wrt u?\nAnswer: 1367001*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, 79, 2, 1, 5 in increasing order.\nAnswer: 1, 2, 4, 5, 10, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 + 33\/(-6))*(10 - 0). Suppose -c = -2*w - 9. Is w\/(-1*1058\/1054 + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, -8, -2, 3\/5, -756?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21 - -40. Let o = 63 - c. Solve 4*u - o*n - 2*n = 0, 0 = u + n + 4 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, -16619, 514\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) -0.2 (c) 5\/4 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:50 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1))**(3\/14)\/(z\/(z\/z**5*z)*z*z\/z**(3\/11))*(z*(z\/(z*z**(-3\/2))*z)\/z*z*z**3)\/((z*z**(-1))\/z)**(-24) assuming z is positive.\nAnswer: z**(-1772\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 216 divided by 2148842?\nAnswer: 108\/1074421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3601 times 0.2?\nAnswer: 720.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, -6\/91, -1, 0.02, -2 in descending order.\nAnswer: 0.02, -6\/91, -1, -2, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*o - 23*o + 28*o**2 to the form g + q*o**2 + n*o and give q.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 2895220\nAnswer: 868566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -u - 4*u - 3*h, 4*u = 3*h + 40. What is the greatest common factor of u and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 5:34 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-5*2*sqrt(7) - (sqrt(700) + -5 + -2).\nAnswer: 7 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71687*d - 72003*d = 2528 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/3)\/(12\/(-882)). Let g = f - -151. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) 5 (c) -1\/3 (d) 10904\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -12319*x - 12606. Calculate v(-1).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 5. Let k(f) = -4*f**2 + 2*f + 4. Let h(r) = r**2 - r - 1. Let w(o) = -2*h(o) - k(o). Give w(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - -12) + 4 - (14 + 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76.3 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 167763.\nAnswer: -2\/167763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 0*q - 4*l - 57, l = 4*q - 50. Suppose -q = 2*a - 23. Suppose a*m - 140 = 25. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14151618 + 35369618. Round j to the nearest one million.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Let s be g\/(-10) - 10\/(-25). What is the units digit of 55\/(-15)*(-3 + s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74347 divided by 91?\nAnswer: -817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**2 - 2*g**2 - 2*g**2)*(-619*g**2 + 882*g**2 - 2669*g**2).\nAnswer: 2406*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 15. What is the remainder when 21 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*b + 42 - 7 = -105*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 2 (b) -5 (c) 3\/77 (d) -2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 180 divide 42280380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.88 + 0.08. Let n = 0.3936 - 0.0936. Do n and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2.8 (b) -3\/5 (c) -0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -35. Let w = o + 18.035. Let t = 0.108 - w. What is t rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4529, 7879, 13461, 21275, 31321, 43599, 58109?\n\"Answer: 1116*o**2 + 2*o + 3411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3 + 2. Let z be w\/6 - 54428\/(-24). Suppose 0 = -4*c - 4*x + z, c + 5*x + 1685 = 4*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/9 and -125\/108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -96.9 + 3.9. Let y = p - -95. What is the nearest to 0 in y, -1\/8, 11?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1750\/19539 + 288\/2171. Factor 0 - 4\/9*t**3 + 0*t**2 + 0*t + g*t**5 + 2\/9*t**4.\nAnswer: 2*t**3*(t - 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -55*l + 26. Let h(k) = 54*k - 27. Suppose 0 = -5*g, 3*n - 3*g = -4*g - 9. Let c(m) = n*h(m) - 4*t(m). Differentiate c(j) with respect to j.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c - 7*c - 168 = 0. Let k = -504 - -914. Suppose -5*j = 60 - k. What is the highest common divisor of j and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 50379747?\nAnswer: 50379745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 2*y - 27. Is 6 a factor of i(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 258 + -256. Let p = 2 + 1. Suppose 4*c + p*k = 16, q*k - k - 3 = c. Solve 5*o - c - 4 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 273, 672, 1247?\nAnswer: 1998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b**2 + b**2 - b**2)*(3 - 2 - 2)*(b + 0*b - 13*b).\nAnswer: 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43954, 43848, 43740, 43630, 43518, 43404?\nAnswer: 43288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x - 77 = 22*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 263479 = 22*f - 104441. What is the ten thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, 0.8, -2, -0.03, 12, 3\/5 in increasing order.\nAnswer: -2, -0.06, -0.03, 3\/5, 0.8, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -m + 2*m**3 + 0*m**2 + 3\/20*m**5 - 38 + m**4. Find a such that y(a) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25186.57 rounded to the nearest one hundred?\nAnswer: -25200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 893 = -17. Let b be 4 + 0 + 3*h\/21. Suppose -b = -2*r - n, 4*r = -5*n + 25 + 41. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 130*j - 129*j. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -206405 and -1.5.\nAnswer: 309607.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*v + 945 = -52*v. What is the remainder when v is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154821 is divided by 253?\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*y + 2856 = 105*y - 15*y for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/214260 and -89\/90.\nAnswer: 642780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - (sqrt(252) + 5 + 1 + sqrt(252)) - (0 + 1*sqrt(252)))**2*-6*-2.\nAnswer: 1728*sqrt(7) + 12528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 9*c. Let j = -21 - -39. Let a = -12 + j. Is k(a) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 60*n**4 + 817995*n**3 - 442343585*n wrt n.\nAnswer: 720*n**2 + 4907970*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.4381*-6236\nAnswer: 8967.9916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1349332 times 0.0656\nAnswer: 88516.1792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2136, 3, 87 in increasing order.\nAnswer: -2136, 3, 87","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4437753.9923 + 4437938. Let j = -184 + o. Round j to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 236368479 to the nearest integer?\nAnswer: 15374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*m - 53*m + 1599 - 1274 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i + 10*i = 2*h + 5, 2*i = 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 9*z**2 - 2*z + 4. Let y be 168\/378 + (-255)\/27. What is j(y)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233726823 divided by -5?\nAnswer: -233726823\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = 22*k - 30*k. Calculate the highest common factor of 35 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**4\/24 + 6*k**2 - k + 93. Let d(w) be the second derivative of n(w). Let g(s) = 2*s - 42. Determine d(g(c)).\nAnswer: -2*c + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 11:28 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 13. Let g be (n\/(-2))\/(-1 - -3). Suppose -g*q + 3*f = -5*q - 4, -q = -2*f - 11. Solve 0 = -5*x + v - 24, -q*x - 5*v - 5 = 25 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14) + (2 - 606\/210).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.013 + -0.013. Which is the biggest value? (a) -0.2 (b) d (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 65568, 131135, 196702, 262269?\n\"Answer: 65567*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 2*q**2 - 5*q + 1. Let j(v) = -v**2 - 6*v + 9. Let u be j(-7). Suppose -2 - u = -f. Is i(f) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 15) to base 14\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 127?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Let y = p + -4. Let q = -0.8 - y. What is the closest to 1 in q, 0, -2\/13?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10860421*j*u**3 - 2276*j*u**2 - 2*u**2 + 270*u + 2 wrt u.\nAnswer: 65162526*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 750862 to the nearest integer?\nAnswer: 867","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**3\/6 - 25*y. Let k be 1\/(-4 + 3) + -3. Calculate a(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-50))\/(6 - (-31)\/(-5))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 3) to base 11\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9942 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 16*p + 7*p - 3.\nAnswer: 23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 2*f. Let t(g) = -6*g**2 - 6*g. Let n = 6 - 10. Let j be ((-20)\/6)\/(n\/(-6)). What is j*t(s) - 16*u(s)?\nAnswer: -2*s**2 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9*(-1)\/(-3) - -36 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 3197?\nAnswer: 3196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(11) + (sqrt(88)*1)\/sqrt(8)).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*r + 232 + 39, 2*c - r = -135. Let b = c + 172. Suppose w = -4*w + b. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -183 - -182. Let q be (-90)\/9*(1761\/u - -1). Round q to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -7*g. Let u(i) = i**2 - i. Let t(w) = u(w) + y(w). Suppose -s + 1 = -5*h + 19, -3*h + 4 = -4*s. Let q be (13\/h)\/(-13) + (-50)\/(-8). Determine t(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 AM and 12:11 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/105)\/(42\/(-70))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68 + 10*n**4 + 68 + 12*n**2 wrt n?\nAnswer: 240*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(((-20)\/55)\/2). Let y be 2*-1 - (6 - r). Suppose -270 = y*l - 6*l. Does 8 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -23. Let g = 8 - l. Suppose g*f = f. Is f greater than -3\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 + t - 2. Let x = 26 + -2. What is the remainder when x is divided by b(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100711 and 199771.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -1. Let y(c) = -c**2 - 2*c. Let h be y(-1). Find the second derivative of -h + 4*j + 2 + 7*j**5 - x wrt j.\nAnswer: 140*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24544320 and 220224?\nAnswer: 7104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -164\/765 (b) -10 (c) -0.02 (d) -1\/7 (e) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -37\/66 + 8\/11. Let k = 62.5 + -63. Sort k, y, -0.4, 26 in increasing order.\nAnswer: k, -0.4, y, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 314948 to the power of 1\/2, to the nearest integer?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -58420 to the nearest 1000.\nAnswer: -58000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 2:31 AM?\nAnswer: 6:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 8*v**2. Let k(h) = 9*h**2 - 7. Let z(t) = -4*t**2 + 3. Let r(y) = 3*k(y) + 7*z(y). Calculate p(r(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-5 - 0) + 4). Let f = 6 + -3. Suppose 0*g - 13 = -5*v + f*g, 3*g + m = 3*v. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - n**3 + 0*n**3)*(-19 - 17 - 24) + 3*n**3 - 2*n**3 - 3*n**3 + (4 - n**2 - 4)*(2*n + 3*n - 6*n) + 3*n**3 + n**3 - 2*n**3 + n**3 - 4*n**3 + 4*n**3.\nAnswer: 62*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a + 16*a = -5*w - 5, w = -5*a - 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/4 (b) 0.3 (c) -4 (d) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21 - -21.4. Let n = 2.1 - 2. Sort n, p, 2\/9 in descending order.\nAnswer: p, 2\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to -22\/5337533?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-16)\/6*(-49)\/(-196).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -304142, -1216606, -2737388, -4866494, -7603930, -10949702, -14903816?\n\"Answer: -h**3 - 304153*h**2 + 2*h + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (388\/(-485))\/(6\/10)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventeen tenths of a millennium?\nAnswer: 20400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 719 - 452. Let g = 265.995 - o. Let p = 1 + g. What is p rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/8, 0.946, -1.\nAnswer: -1, 3\/8, 0.946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3987 divide 73937600?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*((sqrt(1008) + 5)*5 + sqrt(1008) - sqrt(1008)))**2 + 5 + 0 + 2.\nAnswer: 48000*sqrt(7) + 413207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 2:54 AM?\nAnswer: 3:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 457*39\nAnswer: 17823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 957\nAnswer: -382.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 649.\nAnswer: 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 + -38. Let h = 71 - p. Suppose 0 = -5*i - 5*f + 150, i = -5*f + h + 9. Calculate the greatest common factor of 196 and i.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4701, 38739, 131133, 311061, 607701, 1050231, 1667829, 2489673?\nAnswer: 3544941","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**3\/2 - 21261*d**2\/2 - 341712*d = 0. What is d?\nAnswer: -32, 0, 7119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1164, -1709, -1634, -939, 376, 2311, 4866?\n\"Answer: 310*l**2 - 1475*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24883\/3222)\/((-8)\/24*1). Let u = -1\/537 - n. Find the common denominator of -79\/266 and u.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/2 - 3 - -4. Let d(q) be the first derivative of 10 - q**k + 7*q + 3*q**4 - 11*q + q. Find the first derivative of d(t) wrt t.\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 10*j**2. Let a(r) = -9*r**2 + 5*r - 5. Let g(k) = 13*k**2 - 7*k + 7. Let i(w) = 7*a(w) + 5*g(w). Determine i(m(z)).\nAnswer: 200*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 5*g**2 - g - 1. What is n(-3)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 - 82. Suppose 0 = -4*n + t - 3*t + 2, 0 = 5*n - t - p. Suppose 2*c = -0*c + 12. Solve -n*x - c*h = -h - 7, -4*h + 8 = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 u when three letters picked without replacement from {u: 6, f: 2, k: 9}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -165521\/6 + 413942\/15. Calculate the common denominator of ((-23)\/(-2))\/(11\/(-2)) and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 29\/1 + -1. Let f = -8 + c. What are the prime factors of f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37, 129, 273, 469, 717?\n\"Answer: 26*f**2 + 14*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5*v**2 - 5)*(24*v**2 - 48*v**2 - 1 + 25*v**2).\nAnswer: -5*v**4 + 5*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add -135 and 8.3.\nAnswer: -126.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 4:53 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, b: 1, c: 2}. What is prob of picking 1 b and 1 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-144)*17*2)\/((390\/225)\/(-26)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -270?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 55628223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*a - 3*l, 4*l - 14 = -a + 3*l. Suppose 4*z = 4*r + 8 - 0, -z + a = -5*r. Let j(v) = v**2 + v - 1. Give j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2\/7 - 45244*j\/7 + 19389 = 0.\nAnswer: 3, 45241","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -0*a - 2*a. Suppose f + f = a. Suppose 3 = 4*h - f*h. Sort 2, 1, h in decreasing order.\nAnswer: 2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4 + -6 - 0\/5)\/((-10)\/25). Sort 0.12, -1.8, 1, 3, y in ascending order.\nAnswer: -1.8, 0.12, 1, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 6:17 PM?\nAnswer: 6:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16933 or 16934?\nAnswer: 16934","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 696986*g - 14. Let a be s(-1). What is a rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*x + 2, 12 = -3*j - 3*x. Let q = -11 + 8. Sort q, j, 1.\nAnswer: q, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.08 + 0.12. Let j = c - 0.2. Let i = -1.019 + 0.019. What is the smallest value in i, 1\/4, j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -2 + 0 - (0 - 5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*t + 305 = 81 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*h + 3 + (h - 4*h + h)*(1 - 3 + 0) + h + 3*h - 2*h)*(18*h + 173*h - 17*h) - 3*h**2 + 8*h**2 + 0*h**2.\nAnswer: 701*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4235*p + 1733*p + 6041*p**3 - 896*p + 3*p**2 - 3*p**2 wrt p.\nAnswer: 36246*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/3 - (-68)\/12. Suppose 0 = 2*b - s - 30, l*b = s + 2*s + 74. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 4. Let m(d) = 19*d + 146. Let p be m(-8). Let v(y) = -2*y**3 - 9. Give p*v(s) - 14*w(s).\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220001 - 120001?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 7*s - 7*h + 30, -61 = -2*s - 4*h - 57 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*y + 1733*y**4 - 275*y**2 - 383*y**4 + 4*y wrt y?\nAnswer: 32400*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.044649069 + -0.485350111. Let d = 0.58 - 1.11. Let b = d - n. What is b rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 97 + 0*f**2 + 2*f**2 - f**2 - f**3 - f. Let u be m(0). Suppose 3*q + b + 29 = u, 79 = 4*q - b. Is q a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + (11 - 7) + -9\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -10) + 508 + -525.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -1 + 1 - -199. Let o = 917 - g. List the prime factors of o.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2164400\/250 + 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -6*f + 40. What is the lowest common multiple of f and 3*1\/((-12)\/(-40))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + q - 5*j + 3, 3*j - 17 = 5*q. Let p = q + 8. Suppose -2*n + 14 = -n + 2*i, 3*n + i - 17 = 0. Solve 3*k = n*k - p for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4716062560 rounded to the nearest one million?\nAnswer: -4716000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 291\/57 + (-4)\/38. Suppose 0 = r - 5, -2*h + l*r - 10 - 7 = 0. Solve -h*i - 8 = -0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18519213893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -1.87, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47987, 96517, 145051, 193589?\nAnswer: 242131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 22 = 2*m + 2*w, -3*w + 15 = 0. Suppose -5*a = -2*y - 103, -3*a + m*y + 69 = -0*y. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 10:38 AM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 40\/5 - 1 - 3. Solve u = -2*p + a + 1, 0 = p - 4*a - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 13014.2\nAnswer: -39042.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66371932?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 42256 (base 15) to base 5\nAnswer: 23203111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -23102 at least -23102?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16.5 > -0.03?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 5*w - 20. Let z = 5 - w. What is the tens digit of (-4 - -14) + (z - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10381\/2 - 5189. Let w = 0.24 - 1.54. Let o = w - 9.7. Which is the third smallest value? (a) -3\/7 (b) t (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 5, w: 2, h: 3, q: 6, v: 1}. What is prob of sequence iv?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/4 + 16*r**3 - 541*r**2\/2 + 434*r + 2883\/4 = 0. Calculate r.\nAnswer: -1, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -44993.7697 and 5.93.\nAnswer: -44987.8397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 - (-18 - (10 + -12))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0*h**4 - 21*h + 0 + 0*h**2 + 3\/20*h**5 + 1\/3*h**3. What is the second derivative of k(t) wrt t?\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p - 2*p + 2*p + p + 2 - 2 + (0 + 4 - 2)*(6*p - 3*p - 2*p) + (-6 - 4 - 1)*(0*p + p + 0*p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 483042967 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309736, -619490, -929246, -1239004?\nAnswer: -1548764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) 0 (c) 6868\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 2*x + 9. Determine z(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4630 divided by -500.\nAnswer: 463\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 265*h**2 + 28 - 204 + 176 - 2*h**3.\nAnswer: -2*h**3 + 265*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/7960 and -39\/11288?\nAnswer: 11231560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 3 (c) -14 (d) 3\/8 (e) 16 (f) 2\/11 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most as big as 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3085042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 18*w**2 + 18*w + 21. Let j be h(-17). Let f be -2*j + 85\/17. Suppose -2*c - 2*c + 40 = 0. Sort f, -5, c in descending order.\nAnswer: c, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 3, -378.379 in descending order.\nAnswer: 9, 3, -378.379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least -12406401?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - -6*-3*sqrt(117) - sqrt(117))\/((sqrt(9) - (sqrt(9) + sqrt(81)))*4).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**5 - 1652*y**4 + 8348*y**3 - 5036*y**2 - 8344*y + 6688 = 0.\nAnswer: -418, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2 + 3*u**2 + 0*u**2 - 2*u + 8*u. Let x(c) = 7*c + 1 - 3 + 0 + 4*c**2. Let j be 78\/18 + (0 - 4\/(-6)). Give j*x(n) - 6*s(n).\nAnswer: 2*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -125*w + 1001. What is the hundreds digit of r(-27)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.8, 2\/3, -2\/7, -1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**2\/2 + 16*o - 3. Let d be u(0). Let t = 62 + -22. What is the greatest common divisor of d and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = -2*x + 3*s, -8 = -4*s. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 i when two letters picked without replacement from {r: 1, v: 1, i: 2, z: 2, b: 1}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4760435 to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 73 - 71. Suppose s*z = z - 2*z. Solve z = -3*c - 5 + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -17. Let v = 10 - c. Suppose 2*u + 9 = 5*r - 2*r, 3*u - 4*r + v = 0. Which is bigger: u or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + 0 + (-114)\/(-3) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 854542494 a multiple of 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 0.0535 (b) -0.0818 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 234?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 7*m**2 - 11*m + 4. What is the lowest common multiple of 6 and h(-8)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.198 + -0.198. What is the third smallest value in 8, w, -1\/12, -4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.3, 0.2, 1\/12.\nAnswer: -0.3, 1\/12, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljwjwljjl. What is prob of picking 2 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2865 and 2?\nAnswer: 2863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*r + 218043 + 62104 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23268629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6.43 from -12545.036.\nAnswer: -12538.606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*l + 87*l - 1463. Let p(r) = r**3 - 19*r**2 + r - 32. What is p(l)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10059060 rounded to the nearest 1000000?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-2)*(-200)\/12. Let v = 19 - f. What are the prime factors of 1\/(v\/(-51))*8?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7823306*k**2*q**3*y**3 - k**2*q**2*t*y + 8*k**2*q*t*y + q**3*t*y**2 - 19*q**2*t*y - 35*q**2*y**3 - 115*q**2*y**2 wrt q?\nAnswer: -46939836*k**2*y**3 + 6*t*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1792, 7454, 16964, 30322, 47528, 68582, 93484?\n\"Answer: 1924*w**2 - 110*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (19 + 23 + -54)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**5 + 85*b**4 - 30*b**3 - 470*b**2 + 665*b - 255.\nAnswer: 5*(b - 1)**3*(b + 3)*(b + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 31469 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a decade in months?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y - 64*y - 338 = 0. Suppose 5*z - 76 - 49 = 0. Let j = y + z. What is the remainder when 46 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-122*a + 4*a - 9*a)*(-1 - 6 + 4) as t + o*a and give o.\nAnswer: 381","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 5 + 5 + -3 + 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 AM and 1:14 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 10:00 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooau when four letters picked without replacement from {v: 1, u: 1, a: 1, b: 10, o: 6}?\nAnswer: 5\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -282 and 5.\nAnswer: -1410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a micrometer in nanometers?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 127, 206, 271, 316, 335?\n\"Answer: -l**3 - l**2 + 89*l + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/2118265243?\nAnswer: 2\/2118265243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*t + 3 - 27. Suppose 0 = 2*k - t*g - 45, 2*g - g = 4*k - 65. Find the second derivative of 61 - k*s**3 + 5*s - 61 + 2*s wrt s.\nAnswer: -90*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 + -5.5. Let p = 0 - -2. Let v = y - p. What is the second smallest value in -0.4, -0.2, v?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-4))\/(-2*7\/(-56))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030310 (base 4) in base 13?\nAnswer: 4143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - 2 + 2 + (13*a - 19*a + 5*a)*(-2 + 2 - 2) - 3*a + 0 + 1 + 2*a.\nAnswer: 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a406 (base 11) to base 4.\nAnswer: -203202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 6114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24827 - -74486\/3. Let d(b) be the second derivative of x*b**3 + 31\/2*b**2 - 33*b + 0. Differentiate d(l) wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r = 8*r + 131 + 49 for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 245*d**2 + 3166*d - 1099407. Calculate y(239).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -19, -3, 39, 119, 249, 441, 707?\n\"Answer: 2*b**3 + b**2 - b - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 349905.\nAnswer: 3, 5, 23327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -193? (a) -0.1 (b) -0.2 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -26*l + 186. Let v be y(7). What is the third biggest value in -4, v, 2\/153?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -6*s**2 + 73*s - 72. Let g be f(11). Solve -7*h - 11 = -g*h + b, 4*b + 17 = h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**17*k)**(1\/46)\/(k**(-16)\/(k*(k\/(k*k*k\/(k\/(k**(-1\/44)\/k))*k*k*k))\/k)) assuming k is positive.\nAnswer: k**(13575\/1012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:20 PM and 5:43 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256230, -256290, -256354, -256422, -256494, -256570, -256650?\nAnswer: -256734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q**3 + 24*q**2 + 63.\nAnswer: 9*q**2 + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0115 + -1.4815. Let u = -3.47 - k. Which is the second biggest value? (a) -12 (b) u (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnychyzcnqyyccnyczn. What is prob of picking 1 n, 1 h, and 1 y?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -6*c. Let z(n) = n. Let p(b) = 2*q(b) + 11*z(b). Let y(i) = -i**3 - 16*i**2 - 13*i - 12. Let v(o) = -6*p(o) + y(o). List the prime factors of v(-16).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*52.\nAnswer: -5.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10815)\/(-309)*2\/((-1)\/1)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-34)\/(-3))\/((-18)\/(-324)) and 108.\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930 is divided by 45.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 - 16614*r - 69006249 = 0.\nAnswer: -8307","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 961 = -227. Suppose -61 = -w*q + 227. Solve 6*m = 8*m - q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) - (sqrt(80) + sqrt(80) + (sqrt(80) - (sqrt(80) + sqrt(80)*-2)) + sqrt(80)))*-1)\/(sqrt(144)*2*2).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57 + -13. Let k = -17 + q. What is the least common multiple of 9 and k?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, e: 9}. What is prob of picking 2 e?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiuiiuuuuiiii. Give prob of picking 4 i.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of 2*n**3\/3 + 14*n. Let x(i) = -2*i. Let b(l) = 2*m(l) + 3*x(l). Let k be b(0). Is 4 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4366 = -77*v + 147170. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-335 + 331 - (-5 - 0)) + 36?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 33766557?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.3 times 72?\nAnswer: 1389.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -214 = 11*l - 269. Solve c = k, l*c - 4*k = -9*k - 50 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d + 4*n + 32 = 0, 0 = 5*d + 3*n - 5. Let t be (-28)\/(-8) + 2\/d. Solve 2*u - 2*c + 18 = 0, 2*c + 2*c - t = -4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -13, -29, -64, 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 6*v - 1. Let p be c(-5). Find the third derivative of 3*g**2 + 0*g**2 - 3*g**p - g**2 - 4*g**2 wrt g.\nAnswer: -72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*n + 20. Let j be (n\/35)\/(2\/7). Solve -5*x = -j*x - 15 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111874 + 205404. Suppose 4*z + 2*j = n, 0 = -3*j + 13 + 2. Round z to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 19798.36 to the nearest one hundred.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5670 and 198.3.\nAnswer: 1124361","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/6 - 5936\/(-96). Solve -23*k = -l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-187 + 187 + 4*m**3)*(3 - 6 - 4) in the form h*m**3 + b*m**2 + q*m + v and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 81523?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 j when three letters picked without replacement from imymjqiyjmmj.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**8\/1512 + 2*k**7\/189 - 37*k**6\/540 + 2*k**5\/9 - k**4\/3 - 53*k**2. Factor f(l).\nAnswer: -2*l*(l - 3)**2*(l - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5\/3 - 64*b**4\/3 + 1145*b**3\/3 - 3902*b**2\/3 + 1540*b - 600 = 0 for b.\nAnswer: 1, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -3, -1, 80 in descending order.\nAnswer: 80, -1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2748 = -5*h, h + 2746 = 6*h - 3*c. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9.41 + -3.41. What is the nearest to 0 in f, -1, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 26 = -2*b, -443*b + 3*a = -441*b + 14 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 8*r**2 - 2*r - 20. Let i be u(6). Suppose -11*w - i - 26 = 0. Let t(y) = y + 13. Give t(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9 + 56?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/((-4)\/6). Suppose 25 = -6*u + u. Let o be (50\/150)\/(-6 - (-175)\/21). Which is the second biggest value? (a) o (b) u (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4 + 10 + -4)*-4. Does 6 divide (y*(-3)\/(-16))\/((-1)\/(-104))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -140 (b) 2 (c) -3 (d) -0.1 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**2\/5 - 8*p - 42\/5 = 0. What is p?\nAnswer: -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68*x + 40*x + 7*x + 24*x + 5*x - 2*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*g**3*p**3*z + 5*g**3*p**3 + 49*g**3*p*z - g**2*p**3 wrt z.\nAnswer: -5*g**3*p**3 + 49*g**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 4*b + 2. Let a(v) = 2*v**2 + 9*v - 4. Let p(w) = w + 11. Let c be p(-4). Let s(k) = c*l(k) + 4*a(k). Calculate s(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*w**2 - 17*w**2 + 46*w**2)*(-3*w - 2 + 2)*(-24*w**2 + 22*w - 22*w).\nAnswer: 3024*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 943 is divided by 102?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.04815511145044 - 0.2.\nAnswer: -0.15184488854956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 595 divide 2668680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 2*a**2 + 3*a**2 - 4*a**2)*(2*a - 5*a - a - 4 - a + 4 + (1 + 1 - 1)*(2*a - a - 2*a) + 4*a - 4*a - 2*a - 2*a + 3*a - 3*a).\nAnswer: 20*a**4 - 10*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 207*r**2 + 410*r**2 + 0 + 463*r - 204*r**2 to q*r**2 + w*r + l and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38675 and 41405.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 5884*h - 147657. Give a(25).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 248, 1014, 2300, 4106, 6432, 9278?\nAnswer: 12644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 2*y + 1095005 = 1095046, 3*y - 29 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 AM and 8:50 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2)*(-52*w**4 + 18*w**4 - 5*w**4).\nAnswer: -78*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-96)\/540 - (-2)\/(-9). Which is the nearest to n? (a) -0.2 (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + p**2 + p - 2. Let y(n) be the second derivative of -5 + 3\/2*n**2 - 3*n - 1\/20*n**5 - 1\/6*n**4 - 1\/3*n**3. Determine 3*a(m) + 2*y(m).\nAnswer: m**3 - m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3500) + sqrt(3500) + sqrt(3500) + -1*sqrt(3500) - sqrt(3500) - sqrt(3500))*-4*-4)\/((sqrt(4032) - -2*sqrt(4032)) + (2*sqrt(252))\/sqrt(9)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27518 + 47978. What is the greatest common divisor of 15 and a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 527 - 524. Let a(r) = -2*r - 1 + 5*r + 25*r**2 - 24*r**2 - r**3. Determine a(g).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/3, -5, -2, 1.6, -15 in descending order.\nAnswer: 1.6, -2, -8\/3, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 - 7*d**2 - 3. Let k be m(7). Let p = 4 + k. Let y(c) = 2*c**3 - c**2 + 1. Give y(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22*j + 2*j + 648. Let p = 638 + j. What is the greatest common factor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**2 + 48*s + s**3 - 49*s + 12 - 6 - 3*s**2 + 17. Give h(0).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17711892 to five decimal places.\nAnswer: 0.17712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - 1.1. Let g = 1083 - 1078. Put -3, g, x, 3 in increasing order.\nAnswer: -3, x, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2233 or -2259?\nAnswer: -2233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 53 + 6763?\nAnswer: 6806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2 = -27. Let y = -38 + 43. Solve -p*q + 10 = -y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 75*g + 210*g - 185*g**3 - 25*g**4 - 90 + 155*g**2 + 60*g**4 = 0.\nAnswer: -1, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - 10*z**2 - 6*z + 26. Let d be t(-9). Which is the nearest to d? (a) -4 (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230880 and 163488.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 65 + -55. Solve -3*w - g = o, -3*o + w = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13783*l**3 + 5*l + 676686 wrt l?\nAnswer: 41349*l**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 91272*t**2 - 5778 with respect to t.\nAnswer: 182544*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 2*d**2 - 3*d + 3. Let n be t(-5). Let w = -74 + n. Let u = -59 + w. Calculate the greatest common divisor of 24 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -9*a**2 - 17874*a - 125142. What is y(-7)?\nAnswer: -465","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130103629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 5*b + 23 = 0, 53*b = 3*r + 48*b - 71. Solve 2*n + 12 = -3*x, 8 = 4*n - 5*x - r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {n: 7, h: 12}?\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b. Let z(j) = -j**2 - 39*j + 224. Let f be z(-44). Solve f*k - 5*k = b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2316? (a) -0.01 (b) 32 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 177*h - 8 - 648*h**5 - 441*h**5 + 3 + 68*h**5 - 1223*h**5 wrt h.\nAnswer: -44880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b4 - 280?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2*3\/150). Let u be (a\/(-3))\/(1\/(-720)). Round u to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 154110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j - 170 = -18*j. Solve -18*i - 2*g = -13*i + 23, -2*g + j = -3*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 + 21. Let r = t - 5. Which is the nearest to r? (a) -1 (b) 4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 23.5 (b) -5 (c) 5 (d) 1 (e) -0.1 (f) -0.8 (g) 0.437\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(2\/7)*(1 - 0). Let f(t) = 4*t**2 - 20*t + 19. Is f(s) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r - 9*r**2 + 178*r**2 + 424*r**2 - 4*r + 0*r as j + h*r**2 + x*r and give h.\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 445*s**2 - 2*s + 3. Let t be ((-10)\/(-50))\/((-2)\/(-10)). Let z be d(t). Suppose 4*b + 146 = z. What are the prime factors of b?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 7 = -3*k + 6*k, 2*i = 5*k - 7. Solve 5*y - k*y + 10 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 10)\/(-7*(-275)\/231)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16019, -16031, -16047, -16067, -16091?\n\"Answer: -2*m**2 - 6*m - 16011","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -12*m**2 + 128559*m - 128559*m. Let v(a) = 3*a**2. Determine p(v(h)).\nAnswer: -108*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from pkokppzpppozo.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1064353858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 30113589271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a**2 + 4*a - 9. Let w(p) = 5*p**2 - 2*p + 5. Let n(d) = -6*q(d) - 11*w(d). Let o be n(2). What is the units digit of ((-8)\/3)\/(3\/o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 15241 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of 3*r**5\/20 - 75*r**4 + 299*r**3\/2 - 32*r + 10. Suppose s(a) = 0. What is a?\nAnswer: 0, 1, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -195\/14 - -59\/7. Let y = -5 - a. Let i(n) = n**2 - 3*n - 1. Let m be i(2). Which is smaller: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from xpzxzpzwwpp.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**3\/6 + 41*a**2\/2 - 157*a. Determine o(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3bb0 (base 12) in base 6?\nAnswer: 51540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 72, 120, 176, 240, 312, 392?\nAnswer: 480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 626547768?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 12, 24*d + 58390 = 5*q + 19*d. Let f = 1856 + q. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 6*h - 3*h + 4*h.\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 1\/2*h**2 + 0*h - 114. Let p(z) = -30*z + 1. Calculate p(k(n)).\nAnswer: -30*n + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*g + 15*g = 11*g - 408 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 33*o**2 + 32*o - 253. Let v be i(17). Solve 22*d + v = -108 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -249*y**5 + 14*y**2 - 238*y. Let w(h) = -125*h**5 + 6*h**2 - 119*h. Let x(s) = 3*k(s) - 7*w(s). What is the second derivative of x(p) wrt p?\nAnswer: 2560*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 89 + -83. Is -1 - ((-2148)\/2)\/d a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 16) in base 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - n - 232 = 0, -4*n - 123 = 15*y - 14*y. Let b = y + 328. Is 42 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(2\/(-84)*2*(-501)\/167)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - 73) + 57 - (0 + -79)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 589997 (base 14) to base 9.\nAnswer: 5616744","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1275\/(-6120))\/((-10)\/(-8)). What is the fourth biggest value in -6, 0.028, m, -1\/3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 + 158 + (-26 - -11).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/5 of a millennium?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -16133?\nAnswer: -16134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 + -43 - 60) + 42.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2901939)\/(-82)*(1\/(-3) - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -5*y**5 - 10*y**4 + 2020*y**3\/3 - 400*y**2 + 2518. What is u in v(u) = 0?\nAnswer: -10, 0, 2\/5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -4.8?\nAnswer: -14.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 530\/9*m**2 + 2\/9*m**5 - 2\/9*m**3 + 72 - 26\/9*m**4 + 128*m = 0 for m.\nAnswer: -2, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171 times -127\nAnswer: -21717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1600, -1601, -1602, -1603, -1604, -1605?\n\"Answer: -y - 1599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -421*v - 421*v + 829*v.\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43\/672 + -4699\/3360. Find the common denominator of 7\/2180 and n.\nAnswer: 8720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, -5\/3, -2, -3 in descending order.\nAnswer: -0.6, -5\/3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(4\/11)\/t**(1\/7)*(t*t**0\/t*t)**(-26) assuming t is positive.\nAnswer: t**(-1985\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.09 (b) -6 (c) 3957 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*j = -30 - 0. Let o(u) = 2*u**2 - 4. Let z be o(j). Solve 3*h = 12, -z*q + 12 = h + h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-1962)\/(-763)*(-2)\/3)\/(6\/(-78603))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551*n + 31326 = 510*n - 266*n - 1269 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 148368, 145468, 140634, 133866, 125164?\n\"Answer: -967*k**2 + k + 149334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 25752 - -20.1?\nAnswer: 25772.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 467\/2 - 280. Let x = -8 + 4. Calculate the common denominator of 74\/x*(-6)\/9 and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43500.556 plus 0.5?\nAnswer: -43500.056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.091049 + 0.091. What is i rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2149586.\nAnswer: 2, 1013, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 x when three letters picked without replacement from {x: 7, c: 2, q: 2, d: 7}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-1)\/4)\/((-27)\/36).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4105 - 4109) + (0 - 21) + 1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 231 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21905121 divided by -4?\nAnswer: -21905121\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135636 is divided by 6470.\nAnswer: 6236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*f + 1, -70*p = -4*f - 69*p + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/12)\/((175\/(-14))\/25)*24462\/(-151).\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 55*v**3 - 23*v**2 + 5062*v - 30893265.\nAnswer: 165*v**2 - 46*v + 5062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 102274603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 5. Suppose x - 5 + g = 0. Suppose 3*u - 96 = 2*c + 2*c, 2*u + 3*c - 47 = 0. Solve x*a - u = 6*a - 5*i, 4*a - 3*i + 28 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitctccjjittjj. Give prob of picking 1 j and 1 c.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112569 to the nearest integer?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 4:38 AM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 6 + (-3 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 149582 - 149582 - z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 4*f + 3. Let y be h(-5). Let n be -13 + 10 - (-24)\/2. What are the prime factors of (9\/(n\/(-92)))\/y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34307145, -34307146, -34307147, -34307148, -34307149, -34307150?\nAnswer: -34307151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*s - 109*s - 12 = 0. Suppose -s*o + 2139 = 47*n - 43*n, -4*o + 1082 = 2*n. What are the prime factors of n?\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -109155682.\nAnswer: 5\/109155682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 2\/3*w**4 - 9*w + 5*w**2 - 1\/20*w**5 - 1\/3*w**3 + 0. Determine x(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1013, 0.1, 5\/48.\nAnswer: -1013, 0.1, 5\/48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 2*n + 6. Calculate the remainder when x(8) is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**3 + 9*n**2 - 23*n - 13. Let h be c(-11). Is -37\/14 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 22147 + -22136. Which is bigger: 218\/19 or o?\nAnswer: 218\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-154)\/(-33) + -3)*-3 - (-2 + 1). Put 1, c, 418 in ascending order.\nAnswer: c, 1, 418","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + w, 0*w + 8 = -5*l + w for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -83?\nAnswer: 7e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4898.351ng to kilograms.\nAnswer: 0.000000004898351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6778082, 6778083, 6778084, 6778085, 6778086, 6778087?\n\"Answer: a + 6778081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 12 + 23 - 45*t**3 + 37 - 60*t + 60*t**2 - 2 - 10. Let q(b) = b**3 - b**2 + b - 1. Determine -a(n) - 60*q(n).\nAnswer: -15*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -6. Suppose z + 30 = p*g - 0*z, 3*g = 3*z + 42. Suppose 4 = -4*h - 5*q, 0 = -5*h - 0*q - q + g. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 - -63. Suppose -q + 48 = -p. Suppose m + 3*h - q = 0, 5*m + 4*h - 180 - 126 = 0. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 287696 and 22856?\nAnswer: 264840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340095 is divided by 802?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 822396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*u**3 + 31*u**3 + u - u.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (0 - -4 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 25*v + 418. Let p = v - 58\/3. Which is the closest to -25? (a) p (b) -5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = 5*z - 66. What is the remainder when 41 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*y + 29*y - 48*y - 5*y**2 - 591 + 418*y**3 - 6286*y**3 wrt y?\nAnswer: -35208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41198, 11, -5, 1.\nAnswer: -5, 1, 11, 41198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 955903107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*m + 3 = 2*d + 68*m, -1 = m. Let n(g) = -9*g**2 + 3*g + 2. Give n(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/1 + (-2873)\/1352\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -0*x - 4*x + 907, 3*o = 2*x + 937. Let n = o - 182. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2 + 5*p**3 + 5*p**3 - 10*p**3 - 3*p - p**3. Let i(l) = -3*l**3 - 7*l - 5. Calculate -2*i(b) + 5*z(b).\nAnswer: b**3 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 - 13. Let z(m) = -71*m**2 + 8*m - 55*m**2 + 128*m**2. Determine z(w(u)).\nAnswer: 2*u**4 + 44*u**2 + 234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/55479 and -113\/6?\nAnswer: 110958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 17 = 11. Let j = 101 + -183. Let n = j + 117. What is the greatest common divisor of w and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 5:06 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5589*s + 16762. Calculate g(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**4 + 2*m**4 - 3*m**4)*(-2*m + 2*m - m) + 39*m**5 - 777 + 777.\nAnswer: 38*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 4*z + 11. What is the remainder when 63 is divided by q(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y - 1. Let d(i) = 4*i**2 - 6*i + 6. Give d(v) - 5*p(v).\nAnswer: 4*v**2 - v + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003141841 to four dps.\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 15*j + 20. Let f(i) = -i + 1. Let s(m) = -f(m) - g(m). Is s(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18129, -18297, -18465, -18633, -18801?\n\"Answer: -168*f - 17961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/7 and -44\/938633.\nAnswer: 6570431","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 283699?\nAnswer: 13, 139, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7 (b) 2 (c) -104403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 568\/1203 + 21385397\/2406. Let h = -8864 + t. Calculate the common denominator of (-1)\/5 + 123\/(-60) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 68*p**3 - 2 - 60*p**3 + 6.\nAnswer: 8*p**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98384 and 1872?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 12 + 3f3?\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 25947.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 - 0.43. Put 4\/5, 2\/11, f in ascending order.\nAnswer: f, 2\/11, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65186.77 micrograms to nanograms.\nAnswer: 65186770","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 81 = -15. Suppose p = g + g. Let h be (8\/3)\/(8\/g). Solve -2 = 3*l - 8, -3*k - 8 = -h*l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 6:40 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-3))\/(2\/(-12)). Suppose 10 = 4*w + 5*c, -5*w = -7*w - 5*c. Solve -w*p + d*p - 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188850 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 2*a + 1. Let z = 14 - 8. Let n(r) = -r**2 + 6*r - 2. Let u be n(z). What is j(u)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*v + 4*p - 3, -5*v - 2*p + 13 = 0. Suppose -v*k - 1506 + 226506 = 0. Round k to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.07 - 0.012. Let c = b - -0.08. What is c rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (-12 - 16) + 38.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 298\/12 - 7\/(-42) is divided by 21.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i = -25*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - t - 2. Let m be (-4)\/22 - (-4)\/22. Suppose -6 + 3 = 2*z - n, -n - 1 = m. Let s be f(z). Solve r - 3*r - s = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*z = 2*c + 167, -923*c - z + 499 = -942*c for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 5 - 1234*n + 3 - 9 to o*n + i and give o.\nAnswer: -1234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 8 - 2. Factor -4*g**3 + 3*g + 2*g**5 + g**5 - c*g**3.\nAnswer: 3*g*(g - 1)**2*(g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t + 4*t + 2*t - 8*t + 1. Give i(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 175387 to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1612279340669 + 1612279340669 + 17*h.\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 273796668 to the power of 1\/3, to the nearest integer?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -799\/172 - -232\/43. Let q be ((-1)\/(-2))\/(-1 + 0). Let v = 578\/5 + -115. Sort v, q, d in descending order.\nAnswer: d, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*s + 34 + 146. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 AM and 3:59 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from ddnddnndnfndnn.\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b98 - 0?\nAnswer: -b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.9 (b) 1\/736 (c) -4 (d) 0.1 (e) 0.92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137 + 138 + 3 + (0 - 0) - -8.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8603028.\nAnswer: 2, 3, 7, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -30 - -48. Is 10 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 PM and 4:30 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 60 = 15. Let d be (4*h)\/(-2 - -3). Suppose 14*v = 15*v - d. What is the greatest common factor of v and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or -750079?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uggu when four letters picked without replacement from fuugddffffdfffg?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002309 rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -5*j + 119. Does 17 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4611, 8932, 12507, 14964, 15931, 15036, 11907, 6172?\n\"Answer: -62*r**3 - r**2 + 4758*r - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (22\/3)\/((-30)\/45). Let n(x) = 485*x**2 - 11*x - 1 - x + 484*x**2 - 6 - 970*x**2. Determine n(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -3826\nAnswer: 4\/1913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 17, -3, -22318 in increasing order.\nAnswer: -22318, -3, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6516*p - 3 = -6516*p - n, p - n = 10 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -252 + 511*t - t**3 + 252 - 511*t.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/2 - 2) + (-44)\/8?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(1\/4)*l)\/l)**34\/((l*l**(-7)\/l*l)\/l*l**8)*(l*l\/(l*l**(-4\/9))*l*l\/l**(2\/3))\/(l*l**1\/l*l*l)**(-19) assuming l is positive.\nAnswer: l**(1823\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddpddpsdspsccddcd. What is prob of picking 2 d?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/16 and -81\/100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4. Let r(q) be the first derivative of 0*q**2 + 1\/3*q**3 + 5*q + 19. Give 5*k(j) + 4*r(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 9*o**2 - 4*o - 5. What is v(9)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - -4. Calculate the smallest common multiple of 10 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23777, -47554, -71331, -95108, -118885, -142662?\n\"Answer: -23777*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-5 - -6)) + -4*(-74)\/(-68)\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 192, 207, 230, 261, 300, 347, 402?\n\"Answer: 4*d**2 + 3*d + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(28) - sqrt(7)) + ((sqrt(35) + (sqrt(35) - sqrt(140)\/sqrt(4)))\/sqrt(5) - sqrt(7))**2 + (3*sqrt(1575))\/sqrt(9) + 1.\nAnswer: -2 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -0.46. Let p be (-100)\/300 - (1 + 16\/(-3)). Which is the third biggest value? (a) -2\/153 (b) p (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1959 - 1967. Let m(b) = -13*b + 14. Let h(n) = -9*n + 9. Determine w*h(p) + 5*m(p).\nAnswer: 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -318\/94301 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 + 68. Which is the third smallest value? (a) w (b) -0.2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -84, -65, 2\/11, 7\/4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.6 (c) 1\/230\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3789.\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from jqjqhh.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:35 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 32558 = -32574. Let k(r) = r**3 - 7*r**2 - 6*r - 1 - 3 + 3. Let y be k(8). What is the closest to 0 in b, y, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.246 and -0.1.\nAnswer: -1.346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7482 and 107938.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4 not equal to -35589642?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/7 (b) -14\/5 (c) 6 (d) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 167 - 2503\/15. What is the fourth biggest value in 2\/9, 4, 2, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - k - 1. Let z be d(0). Which is the nearest to 1? (a) 1 (b) z (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5027 is divided by 359.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:21 AM?\nAnswer: 2:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, n: 1, i: 7}. Give prob of picking 4 i.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 26, 84.\nAnswer: 2, 26, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y + 14. Let c be x(6). Let m be (-186)\/(-24) - 6\/c. Suppose t = 5*i - 7, 6 = 3*t + 2*i - m. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14646, -29289, -43932?\nAnswer: -58575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8437480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/2*((-780)\/(-9))\/10.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -9 - -5 - (17 + (-17 + 13 - -9))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 9 = -2*g - 7, -u - 4*g - 10 = 0. What is u rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + v - 51, j - 48 = -5*v - 17. Solve 4*y + j = -0*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15113 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2973977, -2974301, -2974623, -2974943?\nAnswer: -2975261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101100111100001000 (base 2) to base 3.\nAnswer: -211200002112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00268206731 to six dps.\nAnswer: 0.002682","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*f = -27 + 1, 0 = -4*u + f + 41. Calculate the greatest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 759*s**3 - 3*s**2 + 4*s**2 - 4*s**2 - 774*s**3. Let b(c) = -16*c**3 - 2*c**2. Calculate 3*b(d) - 2*j(d).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(6\/13)\/i*(i*i*(i**(-12)*i)\/i)\/i*i)\/(i*i**(-18)*i)**(1\/42) assuming i is positive.\nAnswer: i**(-2773\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llbllblllblbll. What is prob of picking 4 b?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + -2)**2 + -1.\nAnswer: -20*sqrt(3) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11251, -56818, -132761, -239080, -375775, -542846, -740293?\n\"Answer: -15188*q**2 - 3*q + 3940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -124*(-1)\/3*(-10)\/(-50)*1095\/292\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 130 by -109802.\nAnswer: -65\/54901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from pppppppppppsspppppsp?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from mdmdmammmmmiddimdmtm.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 5931\/725, 5 in descending order.\nAnswer: 5931\/725, 5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*o - 5*o + 16, 0 = -5*s - 4*o + 17. What is the remainder when 18 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -6.8. Let m = 2.1 - p. Let f = -6 + 6. What is the nearest to f in m, 2\/11, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -23*g**5 + 6*g**2 - 18*g**2 + 18*g**5 wrt g?\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 4041*g**3 + 9*g**2 + 2*g + 56. Let o(h) = 16162*h**3 + 34*h**2 + 9*h + 223. Let z(a) = -2*o(a) + 9*y(a). Find the third derivative of z(b) wrt b.\nAnswer: 24270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 - 25*i - 19. Let r(w) = 3*w**3 - 37*w**2 + 11*w - 11. Let f be r(12). Let o be b(f). Calculate the highest common divisor of 594 and o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 123140114 + 0?\nAnswer: 123140114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3\/7*d**4 + 0*d + 0*d**2 + 12\/7*d**3 = 0. Calculate d.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -8007, -31923, -71797, -127641, -199467, -287287, -391113?\n\"Answer: -2*g**3 - 7967*g**2 - g - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/9 and -11\/12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 439 - 437. Suppose -4*m = 5*n - 540, 0*n = w*m + 5*n - 260. List the prime factors of m.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/((y**(2\/19)\/y)\/y)*(y*(y**(-2\/5)\/y)\/y)\/y*(y**(2\/7)\/y)\/(y*y**(-2\/9)*y*y) assuming y is positive.\nAnswer: y**(-17939\/5985)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkckkkkk. What is prob of sequence kc?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = h - 35 - 11, -4*h = -3*b - 92. Calculate the highest common factor of 208 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of 11*y**3\/6 + 36*y**2 - 32*y - 66. Let b(z) be the first derivative of w(z). What is the derivative of b(o) wrt o?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 4:49 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**2 - 4*p + 5. Let y be o(-2). Which is smaller: y or 6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1586*l**3 - l - 1586*l**3 + 34*l**4)*(1 + 1 - 1) + 10*l**3 - 10*l**3 + 2*l**4.\nAnswer: 36*l**4 - l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n = -29*n + 63. Is 15093\/21 - (-3)\/n*2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*n + 172, -2*n + 6*n + 197 = 5*d. What is the remainder when d is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75)*-1)\/sqrt(3) - sqrt(25))\/(sqrt(220)\/sqrt(11)).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 8*y**7\/7 - 11*y**6\/30 + 51*y**4\/4 - 34*y + 8. What is the third derivative of r(j) wrt j?\nAnswer: 2880*j**2 - 264*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -85 - -199.4. What is y rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397.246 rounded to zero dps?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/208572 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 32, -0.002, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 424072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 3*h + 7 = -0*h, -2*p + 1 = -3*h for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18282, 36568, 54854?\nAnswer: 73140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 + 21.7. Let n = q - 22.89. Let w = 3.89 + n. Sort w, 0.3, 3 in descending order.\nAnswer: w, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1332.96 - -1302. Let x = -11.06 - -9.3. Let y = v - x. Round y to 0 decimal places.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -15*a + 100. Let w(b) = 0 + 1 + 0*b**2 + b**2 - a*b + 2*b. Let l be w(6). Is l at most as big as -98\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 579876369 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1652, 1724, 1766, 1772, 1736?\nAnswer: 1652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 10*i**2 - 3*i - 27. Let u be k(-10). Suppose 2*f = 8, -r - 7*f + u*f = -31. Solve -4*h = -r + 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:59 AM and 6:38 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 10:18 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.029 minus -680980?\nAnswer: 680980.029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 182178128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by 40252\nAnswer: 10\/10063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-615690.\nAnswer: -3078450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 47*q - 41*q. Solve -q*d = b - 8*d - 8, -5*b - 5*d = -15 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5 + 0 + 2 - -52596*1. Suppose -v = -5*d + 15687. Is 1\/2*(d\/4 - -4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131883 + 131886. Let r be 2\/(-11) + (-893)\/(-11). What is the highest common factor of r and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Let n = 0.52 - 0.62. Which is the closest to 2\/11? (a) l (b) n (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -2. Suppose -p*g = 5*u + 1 + 60, -2*g - 44 = 4*u. What is the remainder when 23 is divided by 12 - (-3)\/u*0?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 434 is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v = 2*v - 152. Let c = v + 95. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -q**4\/2 + 67050*q**3 - 4504807563*q**2\/2 + 305097048602*q - 302844711870 = 0.\nAnswer: 1, 135, 66982","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*c**2 - 26*c + 383?\nAnswer: -14*c - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -767*x + 793*x - 228254 = 0. Is x a multiple of 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -704*f + 1404. Determine h(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - -3) + 180\/3. What is the highest common factor of 896 and v?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 729778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1496730331.\nAnswer: 2683, 557857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.646 and -0.19308?\nAnswer: 5.45292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43625, -85320, -125085, -162920, -198825?\nAnswer: -232800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-183))\/(165\/(-17919)). Let d = l - 24\/61. Let y be 8\/(-18) + 2\/9. Which is the nearest to y? (a) d (b) -1\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -6\/145 (b) 6 (c) 0.08 (d) -0.1 (e) 0.045\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1027, 2\/3, 4\/19, -3, 5?\nAnswer: -1027","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 612 and 12421424.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14 + 5*48\/(-20). Solve 3*x - 5*k + 22 = 0, 0*k = -3*x + k - y for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p**3 + p**2 - p + 2. Let j be m(-2). Suppose -2*a - 4*d + j = d, -d = -a + 13. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(363) + 0 - sqrt(363) - sqrt(363)) + 0 + sqrt(363) + (1 + sqrt(363))*2 + 4 + 1)*1 + -2)*3)**2.\nAnswer: 1980*sqrt(3) + 13293","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -32*k + 45*k - 2 - 16*k. What is u(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.2 and -0.181.\nAnswer: -0.5792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45768\/3865 + 215704641363\/18215748865. Let q = c + 10806907795\/5495359166. Let o = 44\/53 - q. Find the common denominator of 57\/16 and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3 - -2)*(-2121)\/(-202). Solve -5*i - x*s + 30 = -12*s, 3*i - 14 = s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -38 by -8.\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 3*b - 1. Let m be h(1). Suppose 5*y = 2*c - 8, c - 12 = -2*y - m*c. Suppose 5*t + 4*j = t, 4*j + 9 = 5*t. Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20086a78 + 5?\nAnswer: -20086a73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 20, 0 = 2*v - 0*v - 3*x - 323. Suppose 0 = 2*b - 4*b + v. Is b a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/5 + 32104*p**4 + 3221796762*p**3\/5 + 38643103444*p**2\/5 + 93379140736*p\/5 + 57957673536\/5 = 0. What is p?\nAnswer: -40124, -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 518\/(-98) + (-4)\/(-14). Calculate the remainder when b\/(-10)*(264\/(-3))\/(-2) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 425201 and 4669.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 5 - 3)*(-5 - 5*t + t - 4*t)*(t - 2*t**2 - t) in the form m*t + y + v*t**3 + i*t**2 and give v.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 103. Let k = 32 - 15. What is the highest common divisor of u and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 14\/5, 0.4, 2594.6 in decreasing order.\nAnswer: 2594.6, 14\/5, 0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r**3\/6 - 58*r**2 + 5046*r = 0. Calculate r.\nAnswer: 0, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -434.22 - -395.4. Round x to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(72)\/(sqrt(1296) - sqrt(36)) - -5*((5*sqrt(32))**2 - (1*sqrt(648) - sqrt(648))).\nAnswer: sqrt(2)\/5 + 4001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/8*(-533984)\/(-6888). Is l smaller than 29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 17*x - 3. Let b(f) = 10*f - 82. Give b(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 12*p - 97. Let u be m(8). Suppose 4*s - 9 = 3*k + 5*s, 4*s = -2*k - 6. Put -2, u, 3, k in decreasing order.\nAnswer: 3, u, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 5*r - 2*u - 25, -r + u = -5. Let c be 3 - (15\/r + -4). Suppose -x = -p - p - 32, -3*x + c*p = -90. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 547 - 2399 = 0. Suppose 119 = 6*a - j. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 177 = -2*z + 5*i, z - 4*i - 87 = 0. Let x = 2 - -2. Suppose -q + c = -19, 5*q + 3*c = x*c + z. Calculate the highest common factor of 54 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and 1.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 19, -2, 38, -1, -5.\nAnswer: -5, -2, -1, 2, 19, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**3 + 129891*z**2 - 259773*z + 129885 = 0.\nAnswer: 1, 43295","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 129*n**2 + 4*n - 7. Let l be t(2). Let f = -369 + l. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 264 and 4104?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120461?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + k + 2. Suppose -32 + 7 = -5*l. Let h be (-50)\/(-14) - (64\/14)\/8. Suppose -b = -2*q + 4, -h*b = -l*q - b + 10. What is d(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 233*b + 2 - 221*b - 2 as n*b + z and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 48.7. Let x = -11 + 10.3. Let t = x - j. What is the nearest to t in -0.1, 2\/17, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -y**6\/280 + 537*y**5\/140 + 269*y**4\/28 - 15*y**2 + 5*y + 18. Factor x(z).\nAnswer: -3*z*(z - 538)*(z + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6*60\/(-288))\/(1\/4). Solve 0 = -5*n + 2*x - 1, 8 - 1 = 3*n - s*x for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*c + 165 = 4*k, -4*c - 155 = -3*k. Suppose 0 = -k*q + 41*q + 4180. What are the prime factors of q?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -3. Let b(g) = 2*g**2 + 4*g - 3. Let v(p) = p. Let f(t) = x*v(t) + b(t). Determine f(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - p - 3. Let d be s(4). Find the third derivative of -2*b**4 + b**2 + d*b**4 - 11*b**4 wrt b.\nAnswer: -96*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-1) - (-22)\/20. Let v(f) = 1262*f - 23991. Let g be v(19). What is the third biggest value in g, l, -0.02?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 19*u**2 - 513*u + 3. Let g be h(27). Suppose -5*j - 4*t + 10 = 0, 0 = 5*j - j + 5*t - 17. Sort -3, g, 28, j in decreasing order.\nAnswer: 28, g, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/1107 (b) -0.19 (c) -0.5 (d) -2 (e) -0.1 (f) -1\/5 (g) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3239, -12880, -28939, -51398, -80239, -115444, -156995?\n\"Answer: 3*d**3 - 3227*d**2 + 19*d - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3002481?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n - 3*n - 2*n)*(0 - 3 + 1).\nAnswer: 26*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 646 is divided by 25?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*j, -13*j + 10*j = -5*o + 25 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 22. Suppose a*x - x = x. Solve -u - 4 + 3 = x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13.243 litres to millilitres.\nAnswer: 13243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 601*i + 168. Let y(g) = 2476119*g + 692244. Let v(n) = 24723*f(n) - 6*y(n). Let r(q) = -5*q. Determine v(r(s)).\nAnswer: -9045*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 - 5*z**2 - 7*z + 13. Let s = 27 + -2. What is the remainder when s is divided by g(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*a - 20, a + 5 = -3*t - 0*t. Suppose -5*c + 4*j + 37 = t, c - 4*j - 7 = 2*c. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 144803802 and 1716?\nAnswer: 289607604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -4, -1, -2, -502?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.23 (b) -221 (c) 193 (d) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -41*r - 4 + 3 + 1. Let o(u) = -11*u**2 + 34*u - 442. Let t(f) = -14*f**2 + 42*f - 546. Let x(a) = 21*o(a) - 17*t(a). Calculate m(x(j)).\nAnswer: -287*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a + 2*a - 2 - a)*(5*a**2 + 0 - 4*a**2 + 3).\nAnswer: -3*a**3 - 2*a**2 - 9*a - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.9 and 136637.\nAnswer: -122973.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2786 + 30620\/11. What is the common denominator of -2 - 2\/((-8)\/17) and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337432066?\nAnswer: 2, 2269, 74357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/4*(-3 + -1). Suppose -4 = c*l - 10. Factor -2*b**2 + 6*b**3 + 0*b**3 + 8*b**4 + 4*b**l - 4*b**3.\nAnswer: 2*b**2*(b + 1)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -19*i**3 + 5*i**2 - 4*i + 5. Let u(k) = -9*k**3 + 3*k**2 - 2*k + 3. Give -5*u(y) + 3*z(y).\nAnswer: -12*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-1) - 1 - -8. Let w = b - 3. Let a be ((-7)\/(-1))\/(2 - 1). Solve -4*l + w*l = 2*s - a, -2*s + 4*l = -22 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -0.37, -274, 0.2 in decreasing order.\nAnswer: 0.2, -0.37, -23, -274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 + -0.6. Let q = 1.5 + r. Let h = -0.492 + 0.192. What is the biggest value in h, q, 3\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 2:12 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 31097551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*y**4 - y**3 + 2*y**5 + 5*y**3 + 7*y - 13*y - 8*y**2.\nAnswer: 2*y*(y - 1)*(y + 1)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(12) - sqrt(12)*-1)*-2)\/(sqrt(4) + sqrt(144)*2 + sqrt(144)).\nAnswer: -4*sqrt(3)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09707 - 2.52707. Round i to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-133)\/14)\/((-1)\/4). Let g = s + -38. Solve g = -h + 4*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 856010 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -71*(5\/(-15) + (-8)\/(-6)). Let a = v + 72. What is the closest to -2\/7 in -3, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3 - 576*d**2 + 567*d + 1146.\nAnswer: 3*(d - 191)*(d - 2)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n + 310. Let t be i(0). Suppose 5*v + t = 3*z - 1583, 4*z - v = 2524. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-9) - (-8013)\/(-27). Let o be 2\/7 - y\/63. Let b(a) = 2*a + 2. Calculate the remainder when b(o) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 14. Suppose 5*o - 4*o = k. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of f**6\/120 - f**5\/30 + f**4\/24 - f**2. Factor y(w).\nAnswer: w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 414 (b) 2 (c) 0.1 (d) 29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -3*r**8\/112 + r**5\/60 - 9*r**2. Find the third derivative of i(k) wrt k.\nAnswer: -540*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550*o - 12390 = 1249*o + 7992 - 5934 for o.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - c**2 - 2*c - 3. Let s be d(3). Is 34*(s\/(-6))\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 261797 = -48*f + 44*f, 4*l = -2*f + 209440. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 630.335 years?\nAnswer: 7564.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, y: 2, n: 2, q: 1, z: 3, p: 1}. What is prob of picking 1 n and 1 p?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -8*f + 3. Let y(n) = -55*n + 20. Let i(s) = -15*w(s) + 2*y(s). Let q be i(3). Suppose 91 = 4*p - q. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-6)\/c*c**(-1\/7)\/c*c*(c*c*c\/(c**(-2\/7)*c))**(1\/4) assuming c is positive.\nAnswer: c**(-46\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5642 (base 7) to base 2.\nAnswer: -11111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8003941 to the power of 1\/5, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 12*z - 199. Let i(c) = -9*c + 1. Let h(x) = 22*i(x) - 2*m(x). Find the first derivative of h(l) wrt l.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 144172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 161\/42960 and 181\/72000.\nAnswer: 12888000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -315\/8 - -961\/24. Put -0.3, i, 10 in increasing order.\nAnswer: -0.3, i, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -i + 516. Suppose -3*r + m + 229 = 0, -2*r + 5*m + 45 = -i. List the prime factors of r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 + 8*g**2 - 6*g - 10. Let z be i(7). Suppose 0*m + 5 = -m. Does 7 divide z\/(-15) - 54\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23933.\nAnswer: 7, 13, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 275 divide 13004814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101010100 - 110100001010010?\nAnswer: -110000011111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 22229481 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -848954*j**2. Let n(y) = -37*y. Give f(n(s)).\nAnswer: -1162218026*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 105509927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2211*q - 115 = -2216*q + 5*k, -3*k = -9. Let y be -2 - 1\/(9\/(-250)). Is q at most as big as y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/328 and 151\/1272312.\nAnswer: 1272312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*t - 4*g + 4, -4*t = -g + 4*g + 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 - 52*r**3 + 242*r**2 - 332*r + 141.\nAnswer: (r - 47)*(r - 3)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -15 times -0.030468\nAnswer: 0.45702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 3*q**4 - q**4)*(-q + 2*q + q) + 86*q**5 - 28*q**5 + 27*q**5.\nAnswer: 87*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 11*h - 6. Let c be v(4). Let j = -19 + c. Factor w**2 + j - 1 - 3*w - 3 + 4*w - w**3.\nAnswer: -(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 16, 1\/5, 4, 2\/3 in ascending order.\nAnswer: 1\/5, 2\/3, 1, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-10 - -7)\/(588\/595 - 1) is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 25810?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(285)\/(sqrt(30)\/sqrt(6)))\/(sqrt(108)*-3))**2*6.\nAnswer: 19\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 478 divided by -40171\nAnswer: -478\/40171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**2 - 1533*o + 7660*o + 10*o**2.\nAnswer: -o**2 + 6127*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11716 take away 505?\nAnswer: -12221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**3 + 17*y**2 + 65*y - 499. Let c be k(9). Sort c, 1, 4, -2 in increasing order.\nAnswer: -2, 1, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1463068, -2926141, -4389220, -5852305, -7315396?\nAnswer: -8778493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3848673494 and -6.\nAnswer: 3848673488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31768520?\nAnswer: 2, 5, 7, 23, 4933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-6)\/b**(-3\/13) assuming b is positive.\nAnswer: b**(-75\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1603313993?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -2035265 equal to -2035268?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*u - 4, 0 = -2*u - u + 3*m. Suppose -q = -0 - 10. Calculate the lowest common multiple of q and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-22)\/(-3))\/(4\/6). Let u = -5 - -46. Suppose 2*j = u - c. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 9:56 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 2:21 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3537983?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of i**6\/15 + i**5\/12 + 7*i**2\/2 - 4. Let w(n) be the second derivative of p(n). What is the third derivative of w(j) wrt j?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 1 + 2)*(-3*p - 2*p + 4*p).\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 74*i**2 + 2*i**5 - 74*i**2 + 40*i + (-4*i + i + 2*i)*(-4 + 4 + i**4).\nAnswer: i**5 + 40*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 114831707, 5, -1\/7 in descending order.\nAnswer: 114831707, 5, -1\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lbondll. What is prob of picking 1 n and 1 l?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: c (base 13) to base 7\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3110 + -1112230113?\nAnswer: -1112221003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 - 4*b**2 + b + 11. Calculate j(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4586*g*u**3 - g*u**2 + 10055*g - 3*u**3 wrt u.\nAnswer: 13758*g*u**2 - 2*g*u - 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -563, -2258, -5083, -9038, -14123, -20338, -27683?\n\"Answer: -565*w**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-18)*25506\/(-11336)\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-3 - (5 + -17 + 5))) + 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(171) + 1 + -2*(sqrt(19) - sqrt(76)\/sqrt(4)) + -3)**2.\nAnswer: -24*sqrt(19) + 688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*a**4 + 98*a**3 - 104*a**3 + 3)*(3 + 3 + 1).\nAnswer: 14*a**4 - 42*a**3 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10096 = -15*f + 48361. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235, -199, -159, -115?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**2 + 3732. Let p(b) = 9485*b. Give o(p(q)).\nAnswer: 18970*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9789 * -0.043596.\nAnswer: -426.761244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**3 - 266*x**2 - 15364*x + 20944.\nAnswer: 2*(x - 77)*(x + 34)*(3*x - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**2 + 15*a + 50 = 0. Calculate a.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*t**3 + 333*t + 2*t**3 - 2*t**3 - 328*t as z*t**3 + s*t + v + p*t**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 66, 69, 72?\n\"Answer: 3*c + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 2 = -p, -p = 2*r - 14. Is (-30)\/45 - (-328)\/r a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 188360 and 4?\nAnswer: 753440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 12*u**2 - 26*u - 13. Suppose 102 = 4*c + 70. What is the units digit of y(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -143, -503, -1083, -1883?\nAnswer: -2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(11) + 0 + sqrt(11) + -3 - (-2 + sqrt(11) + 4)) + ((1*sqrt(110)*2 + sqrt(110) + sqrt(110))\/sqrt(10)*1)**2 + 1).\nAnswer: 5*sqrt(11) + 860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-396)\/240)\/((54\/(-45))\/2))\/(9\/(-12))?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.088 - -0.308. Sort 2, -3, r in ascending order.\nAnswer: -3, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.095189*1\nAnswer: 6.095189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**3 + 30*d**2 - 114*d + 45. Is u(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -399784, -799571, -1199358, -1599145, -1998932?\n\"Answer: -399787*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 - 9*x - 6. Let p be l(-8). Suppose -b**3 - 12*b**2 - p*b**4 - 7*b**3 + 6*b**4 = 0. Calculate b.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from todaa. Give prob of sequence aao.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -300*z**5 + 10320*z**4 - 63927*z**3 - 41175*z**2 - 6318*z = 0.\nAnswer: -3\/10, 0, 9, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010921 to 6 dps.\nAnswer: -0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -31693913.78 to the nearest one million.\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 1989664.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 8*v**2 + 10*v - 11. Let r = -12 - -17. Suppose -r*d - 21 = -71. What is the least common multiple of d and h(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zszttsqtsttjtz. Give prob of sequence zzzt.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 239215247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15754 times 5?\nAnswer: 78770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*k - 11*k - 6 + 23933031*k**3 - 23933038*k**3 in the form x + g*k + r*k**3 + i*k**2 and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -27*d - 405. Let n be u(-19). Let s(i) = -i**2 + 4*i + 5. Let z be s(5). Suppose f - 2*f + 12 = z. Calculate the highest common factor of f and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -55*l + 1394. What is the remainder when 181 is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3863\/23 + 168. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 1)*(-3*j + 4*j - 3*j) + 23*j - 46*j + 20*j)*(0*j**2 - 3*j**2 + j**2).\nAnswer: 14*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffhtfffhftffhfftfh. What is prob of picking 2 t and 1 h?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 3*x + 1, -o - 30*x + 26*x + 12 = 0. Put 11, o, 0, 5 in ascending order.\nAnswer: o, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2755.232 - 1.36\nAnswer: 2753.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + -2)*1 - (4 + (3*sqrt(2))**2)) + (sqrt(2) + 1 + sqrt(128) - (sqrt(8)\/sqrt(4))**2*1) + -2.\nAnswer: -27 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d. Let o(i) = 10*i + 2. Calculate -22*l(j) + 2*o(j).\nAnswer: -2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 84\/9*(-1 - -13). Let t be (124\/6)\/((-2)\/6). Let c = t + h. Is c a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6800, -6990, -7304, -7742?\n\"Answer: -62*g**2 - 4*g - 6734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4196, 4193, 4190, 4187, 4184, 4181?\nAnswer: 4178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/21 + (-519)\/(-21). Let i = 29 + m. Does 26 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -289*q**3\/4 + 1139*q**2\/2 - 1475*q + 1250.\nAnswer: -(q - 2)*(17*q - 50)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7*u = 0. Let q(p) be the second derivative of -p + 1\/10*p**5 + 1\/12*p**4 + 0*p**2 + 0*p**3 + u. Find the third derivative of q(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -50. Let s = -40.11 - i. What is s rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m - 43*m + 2925 + 2600 = 48*m for m.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6*b = 216. Let p = -571 + 577. What is the highest common divisor of b and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 16 = 3*f + 2, 0 = -5*f + 5. Let j(d) = -123*d - 305. Does 55 divide j(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 at least as big as -727?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5097 to the nearest 100.\nAnswer: -5100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*j + 194, 5*h + 2*j + 203 - 1119 = 0. Is 30 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(((-154)\/(-21))\/22))\/(2\/6).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-1)\/1) + -4. Let j(k) = k**2 + 65*k + 1058. Let m be j(-33). Put 4, m, 0, s in decreasing order.\nAnswer: 4, m, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 4, 5*t + 0*u = -2*u - 23. Let b be 12 + (5 - t)\/4. What is the common denominator of -119\/10 and (-27)\/(-28) - (-4)\/b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let t = 0.4 - 0.1. Let y = 1.3 - t. What is the closest to j in -1, y, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9185878174 - 0.061\nAnswer: -0.9795878174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 - -5. What is the remainder when t is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-24)*4092\/(-10). Let w = 136 - v. Sort w, 13, -1 in increasing order.\nAnswer: -1, w, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 406266030 by -135422010.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 162446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -409 - -742. Let r = -332.8 + g. What is the second biggest value in -5, r, 25, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -158783167\/56 + 5670261\/2. Let m = h + 1929\/7. Find the common denominator of 101\/60 and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 9. Let m(l) = l + 9. Let f(x) = 2*m(x) - 3*z(x). Is 4 a factor of f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5365*z - 15*z**2 + 5365*z)*(1 + 29 + 1).\nAnswer: -465*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45227*i**2*k**2 - 73124939*i**2 - 42*i*k**4 with respect to k.\nAnswer: -90454*i**2*k - 168*i*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3*w. Let r(c) = 0 + 3 - 3 + 2*c**2. What is i(r(n))?\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 73363241 to the power of 1\/2, to the nearest integer?\nAnswer: 8565","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = 3*m + 6*j + 21, -5*m + 2*j - 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2852 - 14*o**3 - 10*o**2 + 2852 to the form i + v*o**2 + f*o + p*o**3 and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (3 + sqrt(1584) + 0 + -2 - (-3 + sqrt(1584) + sqrt(1584) + -2*sqrt(1584) + sqrt(1584))*-6))**2.\nAnswer: -2184*sqrt(11) + 77785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*p - 8 = 34*p. Calculate the remainder when 11 is divided by p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 19. Let u(s) = -s**3 + 4. Let w be u(h). Let y(g) = 13*g + 1. Is y(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 1 - 2\/((-10)\/8155). Let h = 4380 - o. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 151755 to the power of 1\/2, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3\/(-1) + 3)*1. Let q be (-16)\/(-12) + (t - 1). What is the biggest value in q, -1, -2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 286561 = 8*r + 3*o, -3*r = 2*o - 171937. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -4*n + n**3 - 7*n**2 - 2*n**2 + 7 + 3. What is the units digit of s(10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -46, -56, -68, -82, -98?\n\"Answer: -u**2 - 7*u - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 96910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*i*j**3 + 105*i*j**2 - 67*i + 1172528*j**3 with respect to i.\nAnswer: 5*j**3 + 105*j**2 - 67","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130221 - 12222?\nAnswer: -203103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 + -52. Suppose -48 = -5*c - 13. Let y(p) = -6*p**3 - 6*p**2 - p. Let t(n) = -5*n**3 - 5*n**2 - n. Calculate c*t(w) + f*y(w).\nAnswer: w**3 + w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 + 21*d - 279. Give y(-19).\nAnswer: -317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bavababvibbiiiibiib. Give prob of sequence ii.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1282 + 12.1282. What is the third biggest value in 2, -3, 13, a?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 + 42*g**3 - 144*g**2 - 42*g + 147.\nAnswer: -3*(g - 7)**2*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32389214?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -1200491?\nAnswer: 19\/1200491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1421420 (base 5) to base 2.\nAnswer: 111001110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134, 505, 1110, 1943, 2998, 4269, 5750, 7435?\nAnswer: 9318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 5905*b**2 - 41400*b + 31. Calculate m(7).\nAnswer: -424","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 s when two letters picked without replacement from {s: 4, p: 6, r: 2}.\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 30 = -3*x. Sort -2, 6, x in decreasing order.\nAnswer: 6, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/5)\/l**(-7)*l**(-1)\/l**(-5))**16 assuming l is positive.\nAnswer: l**(832\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, e: 2, n: 1, g: 6}. What is prob of picking 1 g and 1 n?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = 5*z - 20, -2098*z = r - 2095*z - 26 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -6\/17, 13, 3, -34, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 320961.9kg?\nAnswer: 320961900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136162571*l**2 - 238*l + 98679?\nAnswer: 272325142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 203d (base 14) in base 16?\nAnswer: 15a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t - 8 = 0. Suppose 0*z + 2*z - t = 0. Is -1*(-844)\/(z + 3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 k when three letters picked without replacement from {j: 4, k: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 21 - x**4 - x**4 - 14 + (-6*x + 6*x - 3*x**3)*(-3 + 3 - 5*x) as p*x + g*x**2 + f*x**4 + u*x**3 + k and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (8 - 2) - (-4 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131 = -16*l + 19 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = 19*k + 5, 5*i - k - 24 = 0. Is i < 1.355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4576536 to the nearest integer?\nAnswer: 2139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*c - 24424 + 985 - 22956 + 3975 = 0 for c.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 5*t + 57, 2*t + 74 = -3*l - 2*t. Let h be -8 + 6 - 10\/(-2). Suppose 3*b = -2*a - h*a - 13, -2*b = -4*a - 6. Put a, -3, l in descending order.\nAnswer: a, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3344497?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274514402*l**2*u**2 + 44*l**2*u + 39553*l**2 + l - 2*u + 1 wrt u?\nAnswer: 549028804*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2182, 5276, 10434, 17656, 26942, 38292, 51706?\n\"Answer: 1032*g**2 - 2*g + 1152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 3 + 12 + 345*q - 6 + 3*q**2 + 2*q**3.\nAnswer: 2*q**3 + 3*q**2 + 345*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1006 (base 13) to base 5.\nAnswer: 32303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 80*u**2 - 235*u - 1159. Let i be h(83). Solve -7*k + 46 + i = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/((-4)\/(-40)*6). Suppose -3 = 3*w + o*y, -5*y - 6 - 17 = -2*w. Solve -w*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 519*v - 3626. Determine f(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 12*j**2 + 19*j - 18. Let y be l(12). Let w be 5\/((-30)\/(-4))*y\/20. Solve -14 = -i + 3*d, -5*d - 13 = -i + w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11838, -11839, -11840, -11841, -11842, -11843?\nAnswer: -11844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/6 - q**2\/6 + q.\nAnswer: -q*(q - 2)*(q + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -612148640 to the nearest one million.\nAnswer: -612000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6619346 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i + 21. Let b(o) = -o**2 + 7*o + 27. Let s be b(-3). Let a be x(s). Solve 0 = a*g + 4*w + 9, -2*w + 7 = -2*g + 1 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91160 rounded to the nearest 10000?\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3814216 divided by 1.\nAnswer: 3814216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**3 + d**2 + d + 1. Suppose -y - 5*w - 14 = 0, -6*y = -4*y + w + 1. Let s be y - (2 - 0) - -1. Suppose -b + 2 - 3 = s. Give g(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*s = -62*s - 28320 + 78684. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 + -2 - (-17067 - -17052)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-2)*-3*6\/27. Let q = -0.3 + -2.7. What is the nearest to 0 in q, c, -5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201 + 569. Is 23 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + 2*l - 2. Let o(w) = 33 + 37 + 5*w**2 - 75 - 8*w + 12*w. Determine -7*f(x) + 3*o(x).\nAnswer: x**2 - 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 63047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 4*l**2 - l - 53. Let j(x) = x**2. Calculate k(j(q)).\nAnswer: 4*q**4 - q**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6621063 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/7 + 672628*q\/7 + 22871664\/7.\nAnswer: -2*(q - 336348)*(q + 34)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65\/3 of a day in hours?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15555)\/366 + 56 + -23 + 10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40 - 83. Let c(p) = -p**3 + 7*p**2 + 4*p - 31. Let f be c(9). Let l = f - -114. Is l greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = 4*p + 53, -2*j = -0*j - 2*p - 34 for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h = 20*h + 3*r + 339, 75 = -h - 3*r. Let c be h\/(-21) - (-2)\/(-14). Find z, given that 0 + 8\/9*z - 20\/9*z**2 + 16\/9*z**c - 4\/9*z**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10121020 - -10020?\nAnswer: 10201110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a + 16*a - 2856 = -48*a - 11*a for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 78\/18 + 4\/6. Suppose 22 = 4*j - q*n, 19 = -0*j + 5*j - 2*n. Find the second derivative of 10*g + 0*g**j - 7*g + 4*g**3 - 5*g wrt g.\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 162, -1 in decreasing order.\nAnswer: 162, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37940?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2610090*b - 2610091*b - 32 + 32 - 8*b**3.\nAnswer: -8*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3196 or -6899?\nAnswer: -3196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20\/13 in 2\/7, 0.3, 2\/11, -0.38, 13\/4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17176 is divided by 84.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 4, -7*a + 10*a - 1936 = 5*m. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j - 3*a = 6*j + 38, -126*a + 128*a = 7*j - 34 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2904216 + -a?\nAnswer: -2904220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 132854055 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-1*sqrt(486))\/sqrt(9))\/sqrt(3))**2*-2 + 0 + -5.\nAnswer: -49 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 1. Suppose -3*n = -5*r - 6, -2*n - 2 = -3*n - r. Suppose 48 = n*t + t. Calculate the remainder when t is divided by u(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9364688 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -13 + 1. Let p = g + -4. Let s(z) = p + 1 - 2 - z**2 + 3*z. Give s(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4216 is divided by 575?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a meter in centimeters?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**3 + 530*t**2 - 14045*t = 0.\nAnswer: 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25*x**3*y**2 + 8*x**3*y + 3*x**3 - 11*x**2*y**2 + x**2*y + 1 wrt x.\nAnswer: -150*y**2 + 48*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -56*l**2 - 3*l - 2 + 61*l**2 + l. Let c(o) = -14*o**2 + 6*o + 5. Determine 4*c(x) + 11*i(x).\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k - 1. Let g be (-24)\/(-9) + 2\/6. Suppose 0 = g*l + 4 - 16. Suppose l*d = 2*d. Calculate r(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 508, 994, 1470, 1936, 2392, 2838, 3274?\nAnswer: 3700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26816, 107298, 241442, 429248?\nAnswer: 670716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -z + 9719, -5*p + 21*z - 25*z = -16203. Is p a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8477000 and 7007?\nAnswer: 1212211000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -z**6\/360 + z**5\/12 + z**4\/12 - 13*z**3\/3 + 164. Let r(x) be the third derivative of c(x). What is r(7)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/((-378)\/(-90))*-1*2\/90?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7437*-10.2.\nAnswer: -7.58574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + l = -2*l + 36, 5*l + 76 = 3*b. Let o = -27 + 27. Suppose m - 2*s + o*s = 15, -b = -m + 4*s. Calculate the remainder when 51 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**3*w**4 - 3*h**3*w**2 + 30*h**3 + 12*h*w**6 wrt w.\nAnswer: 168*h**3*w + 1440*h*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8256506823623 - -50.\nAnswer: -8256506823573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14350 and 120050.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*5*1*(sqrt(243) + sqrt(243) + 1 + 0))**2.\nAnswer: 32400*sqrt(3) + 875700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 c, and 1 l when four letters picked without replacement from {d: 6, y: 4, c: 3, l: 1}.\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 8*j**2 - 62*j + 496. Let l be s(8). What is the nearest to 2 in 0.164, 5, l, -1\/5?\nAnswer: 0.164","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**1\/t*t)*t)**(-1\/10)\/(t**(2\/3)\/t)**(3\/13))\/(((t*t*t**(-1\/2)*t*t*t)\/t*t)**(-43)\/(t**(2\/5))**(-1\/2)) assuming t is positive.\nAnswer: t**(25139\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 u, and 1 d when three letters picked without replacement from {u: 1, d: 3, v: 1, q: 7}.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -19*v**2 + 5*v. Let i(t) = -48*t**2 + 12*t. Let l(x) = -5*i(x) + 12*o(x). Let w(y) = 3*y**2. What is w(l(h))?\nAnswer: 432*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.5 - -4. Let r = -13.11 + j. Let t = 5.61 + r. Which is the third smallest value? (a) -3 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5416 and 16.\nAnswer: 10832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6959413277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -3 + 0 + 4 + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4705*v + 23380*v + 6094*v.\nAnswer: 34179*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 187.849086 - 77.8491165. Let n = -110 + t. What is n rounded to 6 dps?\nAnswer: -0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5 or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(50)*-2).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + (7 + (-12 - 20) - (9 + 37)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 42572110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1084 + -695. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -5*g**3\/3 + 8. Let u(t) = -t. Determine u(k(d)).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 2 = -4*r - 2*s, r - 4*s = -10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjt when three letters picked without replacement from ttj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1460\/11 or -133?\nAnswer: -133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 639510223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24008.81ns to milliseconds.\nAnswer: 0.02400881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 2\/11 (b) 5 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4639, 4640, 4641?\n\"Answer: i + 4638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 88477212 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((sqrt(176) - (sqrt(176) + sqrt(176) + -1 + sqrt(176)))*-4 - sqrt(176) - (3 + sqrt(176)*2 + sqrt(176) + sqrt(176)))*-3 + -2)*3)**2.\nAnswer: -14904*sqrt(11) + 133065","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Round 1438.27 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4 = 2*v, -5*m = -2*m - 6. Which is smaller: -2\/183 or v?\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*s**2 + 15*s**3 + 15*s**2 - 5*s**4 - 18*s**3 - 2 in the form z + c*s + g*s**3 + x*s**4 + b*s**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-10)\/10)\/(1\/5). Let r be -5 + -2*i\/((-20)\/(-2)). Let v(q) = -q**2 - 2*q. Let g(x) = 2*x**2 + 3*x. Determine r*g(j) - 6*v(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6830058.\nAnswer: 2, 3, 71, 16033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 5\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + 2*x - 2*x + (278 - 278 - 98*x)*(-17*x - 38 + 38) as c*x**2 + t*x + a and give c.\nAnswer: 1667","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 - s**2 - 2*s + 2. Let j be h(1). Is 3 a factor of j*1\/(2\/30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -11 (b) -2 (c) 273197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 10*u**2 - 20*u + 16. Calculate o(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-1288)\/(-322)*2\/(-296)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*v + 217. Let m = v - -75. Calculate the remainder when m is divided by (-158)\/(-18) + (-2)\/(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 266445?\nAnswer: -266444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1 + sqrt(5) + -4 - ((sqrt(80) - sqrt(5)) + 0)).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1155)\/25)\/3*(-132)\/(-154)*(-50)\/15?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 b when three letters picked without replacement from {i: 3, b: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*h**3\/3 - 410614*h**2 - 5279564*h\/3 - 469296 = 0. What is h?\nAnswer: -4, -2\/7, 87993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-12)\/(n*n*n\/(n\/(n\/(n\/n**(2\/37))))))**(1\/8)\/((n\/(n**(-8)*n)*n**(4\/5)*n*n)\/((n\/n**(-6))\/n**(1\/17))) assuming n is positive.\nAnswer: n**(-17661\/3145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 30540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 96*b**2 - 13*b. Let v(w) = -w**2. Determine g(v(d)).\nAnswer: 96*d**4 + 13*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2607 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2 = -2*o, 0 = -o + 3*o - 2*s - 8. Let f be -4*(o + (-2)\/4). Is -5 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/9467072 and 85\/848.\nAnswer: 9467072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**27)\/l**(-43)*(l\/(l**15*l))**(-1\/10) assuming l is positive.\nAnswer: l**(145\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -41920*q**5 + 1264602*q**2 wrt q.\nAnswer: -2515200*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1205.9361 + 1206. Let k = -3.0539 + w. Round k to one dp.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8784*s - 7 + 7.\nAnswer: -8784*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -413, -415, -417?\n\"Answer: -2*h - 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 24 - 20. What is the second biggest value in 0.5, -2, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {y: 4, e: 1, z: 6}.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 - 4*s - 3. Let x be h(4). Let i(c) = -182*c - 23. List the prime factors of i(x).\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 59*w - 17. Let c(t) = t**2 + 24*t - 9. Let z(n) = 5*c(n) - 2*d(n). Let g(a) = 2*a**2 + a - 6. Determine -11*g(l) + 6*z(l).\nAnswer: -4*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 623276 and 2660.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*k + 3*v + 8, 8 = -k - 4*v. Sort -2, k, -4, 5 in decreasing order.\nAnswer: 5, k, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/15*(9 - -1). Let y(z) = z - 10. Let m be y(f). Let t = -1 - m. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 5924.\nAnswer: 13\/5924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1896 is divided by 618?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26493 is divided by 297?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2294 a factor of 885724803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + (-78)\/12)*-2. Sort w, -1, -5 in descending order.\nAnswer: w, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -22470*q + 112347. Give a(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -1, 1, 9 in ascending order.\nAnswer: -1, 1, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**2 + 28*t - 26 = 0.\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 96 and 126216.\nAnswer: 504864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 + 17 = 36*j. Suppose -j*g + 134 = -2*i, 5*g - 4*g - 73 = -5*i. What is the third biggest value in g, -5, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 5116?\nAnswer: 5115.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.38 in -1, 5, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -1\/3*h**4 + 8*h**2 + 8\/3*h**3 - 1\/5*h**5 - 6*h - 3. Factor t(k).\nAnswer: -4*(k - 2)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-2\/3)\/v)\/((v**(-3)\/v)\/v))**(-1\/10)\/(v*v*v**(-8)*v*v*v*v**(1\/4))**(-50) assuming v is positive.\nAnswer: v**(-2069\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*f + 11 + 17, -5 = -5*w + 3*f. Put w, 0, 4 in decreasing order.\nAnswer: 4, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3614424 (base 8) to base 3.\nAnswer: 1212021021200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o**(1\/9)\/o)\/o*o)\/o)\/o)\/(o**(5\/3)\/o))\/((o\/o**(-6))\/((o**(-1\/8)\/o)\/o)) assuming o is positive.\nAnswer: o**(-841\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 7 - 2*p**2 + p**3 - 2 - 4. Let g(n) = 5*n**3 - n - 3*n**3 + 1437 - 717 - 718 - 6*n**2 + n**2. Let k = -32 + 34. Give k*g(i) - 5*m(i).\nAnswer: -i**3 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**5 - 5*h**4\/12 + 5*h**3\/6 + 5*h**2\/2 - 119*h. Let s(r) = -r**3 - r**2 + r + 1. Give p(b) - 5*s(b).\nAnswer: -15*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 119496 and 238992.\nAnswer: 238992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 204028 (base 10) to base 13\nAnswer: 71b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 101219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*(sqrt(400)*2 + sqrt(400)))\/(-5*-2*sqrt(8)\/sqrt(4)).\nAnswer: 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/3 + 11332*w**3 + 11336*w**2 - 169996*w\/3 + 33998 = 0. Calculate w.\nAnswer: -3, 1, 16999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6767*-0.08516.\nAnswer: 576.27772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(108)*1 + sqrt(108) + sqrt(108))**2*4.\nAnswer: -15552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i - 7650 = -9*i. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 732*l - 736*l - 2*u + 12, -l + 17 = 4*u for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056720 divided by 170?\nAnswer: 6216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -21*(36\/7)\/(-6). Calculate the highest common divisor of y and 180.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5321515 and 17270.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.5 and 7.5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33833411?\nAnswer: 33833411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (70\/15 - 6\/9) + -2. Suppose d = -x*y + 23, 5*d = -5*y + y + 61. Solve -3*l - 3 - y = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 11*j**2 + 10*j + 3. Let v be l(10). Suppose -2*n - v*n - 50 = 0. Let t = n - -22. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219, -1744, -5611, -12906, -24715?\nAnswer: -42124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + ((1*(sqrt(720) + -1) + -1 - (1*sqrt(720) + -1 - sqrt(720))*2) + -4)*5)**2.\nAnswer: -2880*sqrt(5) + 18576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-8))**(-25) assuming g is positive.\nAnswer: g**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - 23*b - 10. Let r = 4489 - 4511. What is v(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.5, 4\/7, 3, -201\/47, -0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.4 (c) -5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 972 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 255 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9 + 9 + 5*f**2)*(-3*f**2 + 5*f**2 + 2*f**2) + f**4 + 0*f**4 - 5*f**4 to the form p + v*f**4 + a*f**3 + i*f + n*f**2 and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6602 by 3301.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -5*((-3 - 0) + 1510\/(-50))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 + (1 - 8*-3). Suppose c - 12 = d. Suppose -2*n = -4*f + 56, 2*f = -0*f - n + c. What is the highest common divisor of 24 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 405 = 3*x, 3*x + 298 = -4*i + 1. Let u = -39 - i. What is u rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-31 + (-1794)\/(-46))*2\/(-4). What is the smallest value in 1\/7, 21\/10, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3039, 9, -620 in descending order.\nAnswer: 3039, 9, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -14 + -1 - (0 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x. Let t = 11281\/60 + -188. Let s(y) be the third derivative of 4*y**2 + t*y**5 + 0*y + 0 + 0*y**4 + 0*y**3. Calculate q(s(p)).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 2:01 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 45 = 5*g, 4*l = -5*g + g + 36. Suppose -1143 = h - l*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-2*1\/(-18))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 12:32 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -1\/3, 3, -18, -81?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -314, 535?\nAnswer: 535","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 5*c + 413, -2 = -c + 3. Calculate the remainder when r is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 * -1417\nAnswer: 46761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*8\/(-48))\/(9\/3)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -2*y, 2*o + 0 = -4*y + 8. Are y and 19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 11:54 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 2 + 4*a + 12 + 2. Let f = -3052 + 3047. What is the remainder when q(f) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55891 is divided by 55874?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118712428.\nAnswer: 2, 17, 29, 37, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**3 + 12*z**2 - 8*z - 9. Let l(t) = t**3 - 3*t**2 + 2*t + 2. Let a(m) = 9*l(m) + 2*x(m). Factor a(s).\nAnswer: s*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 f when two letters picked without replacement from apafyffjjuua?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-183)\/18 + 6\/(-12) and -53\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12028342 divided by 1.\nAnswer: -12028342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -308398, -307284, -306170, -305056?\nAnswer: -303942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -5*u - 11, -5*r + 26*u = 31*u + 10 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 47*i - 254. What is the lowest common multiple of p(6) and 57 - (0\/3 + -3)?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 921 (base 10) in base 8?\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -f + 24. Suppose 2*w - 29 = -w + 5*t, 0 = -3*w - f*t - 7. Let a(p) = -p**w - 2*p - 5*p**2 + 414 + 5*p**3 - 3*p**3 - 420. Give a(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -8. Suppose 5*y + 136816 - 374556 = x. Let b = y + -75548. What is b rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 20*m**2 + m + 22. What is a(20)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 37 + -84. Let f = -33 - t. What are the prime factors of 10 - (1 + f)\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32846, 32830, 32814, 32798?\nAnswer: 32782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 453*-3.\nAnswer: -1359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 2:16 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((80\/(-12))\/5)\/(1\/318). Calculate the remainder when 4*-1 - 5\/(20\/u) is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34b - 4422?\nAnswer: -4770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**2 + b - 6. Let h(o) = -9*o**2 + 3*o - 11. Let q(v) = 3*h(v) - 7*n(v). Let d be q(0). Suppose 0 = 6*t - d*t + 63. Are t and 21 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30530 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 14 - 42)*(0*h + 2*h + 5*h)*(2 - 2 - 2*h).\nAnswer: 686*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6601230 by -440082.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -2*p**2 + 14*p - 3. Let s = -90 + 87. Let q(h) = h**2 - 5*h + 1. Determine s*x(d) - 8*q(d).\nAnswer: -2*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(44) - (sqrt(4400)*-3 - sqrt(4400)))\/sqrt(4) + ((sqrt(11) - sqrt(44)) + sqrt(11))*-6 + sqrt(77)\/(sqrt(21)\/sqrt(3)))**2.\nAnswer: 19404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 10*x - 166. Give v(24).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 5*j**2 + 10*j - 8. What are the prime factors of b(-5)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-440)\/66)\/(-4) + 1\/(-6)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + w - 1. Let x be z(1). Find the third derivative of -11*s**x - 7*s**2 + 17*s**2 - s**6 wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 902*v**4 - 903*v**4 + 52*v**2 - 3 to the form f*v**3 + k*v**4 + t + o*v**2 + l*v and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -264*p - 266956 + 1357*p + 266956. Let w(l) = -l**2. Determine s(w(z)).\nAnswer: -1093*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 3416?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -45*n**4*o + 14*n**4 - 28*n**2*o - 91540*o wrt n.\nAnswer: -180*n**3*o + 56*n**3 - 56*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(931) - (sqrt(931)*1 + -1))**2 + -6*sqrt(76)\/sqrt(4)*5.\nAnswer: -30*sqrt(19) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 - -1. Let p be 1\/(16\/14 + -1). Calculate the greatest common factor of s and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 4:46 PM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 - -14. What is the remainder when (-12)\/42 + (-128)\/n is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from goomogpopmmm?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1476, -1933, -2646, -3573, -4672, -5901, -7218?\nAnswer: -8581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 247 and 1796249?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1151 - 239 = 38*x. Solve -13*z + 63 = x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 11. Let r be p(-5). Let t = r - -8. Solve 3*u = f + 4, -t*f + 6*f = -4*u + 16 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of 3*c**4 + 5*c**3\/3 + 14. Find the third derivative of x(r) wrt r.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in centimeters?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -1173033?\nAnswer: -1173035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -271 + 295. Let l be 6\/t*8 - -7. Solve w + l = 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2. Let a(k) = 20*k**2 - 26. Determine a(h) - 12*v(h).\nAnswer: 8*h**2 - 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -15, -4, -374, -1, 1.\nAnswer: -374, -15, -4, -1, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g = -126 - 72. Let z = 9 - 6. Find the second derivative of -17*i**z + 18*i**2 + 10*i + 3*i - g*i**2 wrt i.\nAnswer: -102*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-145)\/29*-12*6\/(-23940)\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {u: 5, m: 3}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 7*v**2 + 6*v - 5. Let y be z(-4). Let o = 95 + y. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w = -3*v, 2*v + 5*w = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(2*l**4 + 2*l**4 - 16*l**4) + 19*l**3 + 6*l**4 - 10*l**3 - 11*l**3.\nAnswer: 30*l**4 - 2*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 483 - 454 - (-1 + 25)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 + 3*f**2 - 3*f**2 - f + f + 2*f**2 + (-2*f**2 + 0 + 0)*(-1 - 3 + 3) - 2321 - 159*f**2 + 2321 in the form i*f**2 + m*f + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-6*3*sqrt(245) + 5 - -2*6*-1*sqrt(245))*6*-2)**2.\nAnswer: -7560000*sqrt(5) + 793890000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 681783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 - 0.2. Let i = -189 + 2455\/13. Is i < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -76715, -316015, -714847, -1273211, -1991107, -2868535?\n\"Answer: -79766*r**2 - 2*r + 3053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence olol when four letters picked without replacement from {l: 7, o: 6}.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.012+191211937.1\nAnswer: 191211937.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10660, 42453, 95440, 169621, 264996, 381565?\n\"Answer: 10597*u**2 + 2*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:57 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 73801.1 tonnes?\nAnswer: 73801100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17.688 + 0.428. Round b to 0 decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44581 and 6953.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -292.8102?\nAnswer: -878.4306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 569322*q**2 + 15*q + 10. Is o(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.151 or 5\/19?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*w - 4. Suppose -284 = 78*j - 82*j. Let b = -69 + j. Which is greater: b or w?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -114.2 + 104. Let g = q + -35.8. Let a = g + 46.0019. What is a rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 7*t**2 - 6*t. Let v be w(6). Let s(r) = r**2 - 2*r + 11. Let g be s(0). Let l be 14\/(-18) - (-11)\/g. Which is greater: l or v?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.13 - 1.07. Let l = q - -1. Let a be 4*1\/20*-2. Put l, -2\/7, a in descending order.\nAnswer: l, -2\/7, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of i**4\/6 - i. Let a = 210 + -59. Let x(p) = -151*p - 11*p**2 + a*p. Give q(x(n)).\nAnswer: 242*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15487 + 31515. Suppose -2765 + m = 3*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*u**4 + 3*u**4 + 0*u**4)*(-2 + 1 - 2 + 5 - 4 - 2 + (0 + 0 - 2)*(0 - 1 + 3) + 2 - 4 + 3).\nAnswer: 49*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -26809 (b) 5 (c) -1\/5 (d) -1.7 (e) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 2.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q + 3. What is the remainder when q is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 25 = 2*y, -51 = -2*y - 2*f - 19. Let n be (-37)\/5 - (-6)\/y. Let u be ((-10)\/n)\/(8\/28). Solve -u*w = 3*l + 17, 2*l = -8*w + 3*w - 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10110111010110011111 (base 2) to base 11.\nAnswer: -473274","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/150 and -7\/40?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 631*f + 842 = -815*f - 481*f - 12647 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*m + 18*m = -143*m + 14904. Let q(a) = 22*a - 10. Let v be q(7). Calculate the highest common factor of v and m.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7\/20 - 1\/20. Which is the closest to -1? (a) -6 (b) 0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - (-117)\/(-90))*4*25\/(-20). Determine h so that 1\/3*h**2 + 0 + 0*h - j*h**3 = 0.\nAnswer: 0, 2\/39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*j = -24, 0*r + r = -3*j - 12. Let w(d) = -2*d**2 - 3*d - 3. Let c be w(-2). Let z = 8 + c. Solve r*v - z*t = -9, 2*v - 5*t + 5 = -7 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5 = -5*o - 22, b + 5*o + 27 = 0. Put b, 1, 35 in ascending order.\nAnswer: b, 1, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = r + 2, -r = 3*u - 8*u + 2 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - -122101031?\nAnswer: 122101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 + 0 - 4\/3*c - 2\/3*c**3.\nAnswer: -2*c*(c - 2)*(c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 = -93*q + 80*q. Calculate the highest common factor of q and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -14 + -24ca4?\nAnswer: -24cb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -812861.136 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56)\/42 - (-8)\/6. Suppose -4*w + d = 1 - 2, -5*w + d + 1 = c. Solve -3*t + 7*t + 12 = w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*r - 8547 = 17*r. Is 33 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1389641938 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1203521 (base 6) to base 9.\nAnswer: -105434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + 3*z - 7. What is the tens digit of c(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -64, 14, -16, 1, -6, 2 in descending order.\nAnswer: 14, 2, 1, -6, -16, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 51348 = -70*r + 74*r, -3*w + 64161 = 5*r. What is the ten thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*z + 9 = 0, -2*z + 0*z + 8 = 0. Let k = -1229 - -2397\/2. What is the common denominator of k and 27\/12*(-62)\/u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -29298*o + 2255773. What is l(77)?\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -9*t**5\/7 + 10533*t**4\/7 + 114962*t**3 - 4529836*t**2\/7 + 4954328*t\/7 - 218592 = 0.\nAnswer: -77, 2\/3, 4, 1242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 4 = 0, 3*n - 600 = a + 2*n. Let p = -13223\/22 - a. Calculate the common denominator of 95\/4 and p.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of q**5\/20 - q**4\/6 + q**3\/6 - 3*q**2\/2 + 19*q. Suppose n - 3*r = 18, -5*r + 5 = 30. Give l(n).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/14060 and -35\/2664.\nAnswer: 253080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/17, 0, 4\/5, 32, 0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**3 + 10*h**2 + 8*h**2 - 18*h**2.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1164 = -4*w - 304. Is w*(-4)\/8*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-1\/2))\/(r\/r**(-7\/3)))\/(r**(-2\/5))**(-46))**(-2\/5) assuming r is positive.\nAnswer: r**(607\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/21682 and 51\/22504.\nAnswer: 243965864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -1\/21*g**7 - 2\/3*g**3 + 0 - 1\/15*g**6 + 3*g + 0*g**2 + 1\/6*g**4 + 3\/10*g**5. Suppose n(l) = 0. Calculate l.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*h = 199 - 164, u - 5*h + 30 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 72 = -l, -p - 6 = 4*l - 39. Let v be p\/7 - 36\/(-63). Solve 3*h + 12 = v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -37, 0.2, -4, -0.3, -16\/121?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.043 - -107.\nAnswer: 106.957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*c - 35 - 22 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m = 0. Suppose -5*z = m, 4*z = l - 5*l + 16. Suppose 2 - 30 = -l*i. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 300*g**5 - 241*g wrt g.\nAnswer: 6000*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 22203, 88833, 199883, 355353, 555243, 799553, 1088283?\n\"Answer: 22210*r**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/c**(-1\/4))\/c)\/c)\/(c\/c**(-2\/5)*c))\/((c*c**(-8))\/(c*c**(-3\/4))))\/((((c**(2\/7)*c*c)\/c)\/(c*c**(-5)))\/(c**1\/c**0)) assuming c is positive.\nAnswer: c**(-13\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1818\/(-7) - (-6)\/(-21). Let o be ((-2)\/8)\/(13\/b). Solve 10*g = o*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31 (base 5) to base 3\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes before 12:17 AM?\nAnswer: 11:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i + 7*i**2 + 13*i**2 + 15*i.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, z: 1}. What is prob of sequence za?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958590 to the power of 1\/3, to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (((-12)\/(-15))\/1)\/(2\/15). Let m(f) be the second derivative of 0*f**2 + 0*f**3 - 1\/6*f**4 - 1\/15*f**t - 1\/5*f**5 - 4*f + 0. Find p such that m(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -906, -739, -246, 747, 2414, 4929, 8466, 13199?\n\"Answer: 29*v**3 - 11*v**2 - 3*v - 921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**5\/15 + k**4\/8 - k**3\/6 + 35*k**2. Suppose -y + 15 = 5*a, 5*a + 3*y - 21 = 2*a. Give h(a).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**5 + 0*v**5 - 2*v**5 + (2*v**4 - 2*v**4 - v**4)*(v + 5*v - 4*v) + (-v**3 + 0*v**3 + 2*v**3)*(-3*v**2 + v**2 - 5*v**2) - 3*v**5 + v**3 - v**3.\nAnswer: -13*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 l when three letters picked without replacement from lluqppqpleupe.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*k - 76*k + 1 = 1. Is k at least as big as 6\/1487?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790\/3*((-36)\/(-8))\/3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1623 - -1693. What is the greatest common divisor of f and 119?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 divided by -9664?\nAnswer: -13\/9664","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*c - 2*h + 34, -h + 23 = -3*c. Let g(z) = z + 14. Calculate the least common multiple of g(c) and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8524.513 decades?\nAnswer: 852.4513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2*f**2 - 8\/5*f.\nAnswer: -2*f*(5*f + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77772471?\nAnswer: 3, 7, 3703451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 99, 1163, 4053, 9681, 18959, 32799?\n\"Answer: 152*k**3 + k**2 - 3*k - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of -21*s**2\/2 - 11*s - 527013. Let q(a) be the third derivative of -7*a**4\/24 - 2*a**3\/3 + a**2. Determine 6*g(v) - 17*q(v).\nAnswer: -7*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1594, 1\/7, -1 in decreasing order.\nAnswer: 1594, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -a + 4*c + 1, 2*a - 2 = -3*c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rfh when three letters picked without replacement from mkkfrkkdkfrmrfkmhk.\nAnswer: 1\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17526202 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 5737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + 85*t**2 + 99*t**2)*(4 + 2 - 7).\nAnswer: -187*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 340640.2657 rounded to the nearest one hundred thousand?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 52259*s - 209038. Calculate a(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11111100010101000 (base 2) to base 9.\nAnswer: -216186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 5:10 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 277, 255, 233, 211, 189, 167?\n\"Answer: -22*y + 299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -3*s - 14, -4*j + 14 = s - 0*s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2407, -3456, -4505?\n\"Answer: -1049*r - 1358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, -0.01, 0.06, -0.1, 1 in descending order.\nAnswer: 23, 1, 0.06, -0.01, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1073979, 1073982, 1073993, 1074012, 1074039, 1074074, 1074117?\n\"Answer: 4*a**2 - 9*a + 1073984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/7? (a) -0.4 (b) 156.9 (c) -2.36 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 715 + -710.89. Let z = x - 0.11. Let n = -3.1 + 3. What is the nearest to n in -2\/7, 1\/2, z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 2:15 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of -u**5\/20 + 83*u**4\/3 + u**3\/6 + 691*u**2\/2 - 22*u - 42. What is the derivative of d(s) wrt s?\nAnswer: -3*s**2 + 664*s + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7724388.\nAnswer: 2, 3, 7, 91957","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v + 6. Calculate j(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17 or -114840?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nns when three letters picked without replacement from ynssysnynnny?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5843*w + 46728. Determine x(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 50.9 + -9.8. Let m = i + -12.1. Which is the nearest to -0.1? (a) -2\/7 (b) m (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v, 1 d, and 1 l when four letters picked without replacement from {x: 1, v: 7, l: 3, d: 1}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooajjyyyjayoyooowo. Give prob of sequence oowa.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f - 39*s + 38*s - 6, 0 = -4*f - 4*s for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1749 is divided by 585.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 24*r**2 - 3*r - 2. Let q be j(-1). Suppose q = 4*i + 1. What is the third derivative of 89*x**i + 93*x**6 - 197*x**6 + 21*x**2 wrt x?\nAnswer: -1800*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 8) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/2*(-28)\/(-35). Let n(z) = 4*z + z - z - 3*z**q + 0*z - 2. Let k(w) = 5*w**2 - 6*w + 3. Give -5*k(s) - 8*n(s).\nAnswer: -s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4247100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 14 - 46 = -2*z, -z = 0. Let l = 5\/968 + -1951\/2904. What is the biggest value in 0.1, l, d?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 439*c**4\/12 - 3*c**3\/2 + 62*c**2. List the prime factors of a(1).\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21689947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 4*t**5 + 544*t**4 + 18808*t**3 + 6208*t**2 - 1017596*t - 1005536 = 0.\nAnswer: -67, -8, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 153 and 17?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (31 + -25 - (0 - (-3 + 1))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15421, 8, 3.\nAnswer: 3, 8, 15421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1130 or -6?\nAnswer: 1130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69205 = 58*t - 35079. Is 4 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4.9 in 5, 2\/19, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3153*p**3 + 820*p**3 - 1625*p**3.\nAnswer: -3958*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -9326141\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15589203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2983 is divided by 2923.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/73472 and -71\/76160?\nAnswer: 6245120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -24. Let r = -21 + p. Are -3\/8 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 79 = 3*f + 5*h, -3*f = 4*h + 60. Which is bigger: f or -232\/15?\nAnswer: -232\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m - 5. Calculate the remainder when 8\/(-12)*(-36)\/8 - -35 is divided by d(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {x: 8, r: 2, t: 5}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -216 + 101. Is -115 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 529789410 divided by 595269.\nAnswer: 890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 17*o**2 - 15*o - 15. Let r be q(16). Suppose 3*i + 5*u = 25, 2*u - u - 27 = -5*i. Solve k - r = f, -i*k - 2*f - f = 19 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1191922041 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094945247 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13238 + -13151. Solve -51*j + p = -219 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -68 - 382741.1356.\nAnswer: -382809.1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3025 and 15400?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5*(-27 + (-552)\/(-36)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-100)\/75)\/((-1)\/3). Suppose d*s + 13 = 2*l + s, 2*s = 5*l - 49. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 6:56 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = a - 269, -4*l + 535 = -4*a + 3*a. What are the prime factors of l?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 2*o - 35. Give u(19).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -626*s**5\/5 - s**2 - 11877*s + 15278. What is the first derivative of o(i) wrt i?\nAnswer: -2504*i**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4592 = -3*w. Let x = w - -2456. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddn when three letters picked without replacement from {r: 2, x: 1, n: 2, d: 9}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + i = 11, 2*g - 12689*i = -12690*i + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a decade in months?\nAnswer: 1176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 453185, 453194, 453207, 453224?\n\"Answer: 2*w**2 + 3*w + 453180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**3 + 3*m**2 - m + 1. Let i(b) = 178*b**3 + 2*b - 269*b**3 - 2 - 5*b**2 + 100*b**3. What is 5*g(v) + 3*i(v)?\nAnswer: 2*v**3 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 5*o + 15 + 8, 5*q = -3*o - 29 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2129758 divided by 7661.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s - 8. Calculate u(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 558.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/11)*h)**(-4\/13)*h\/h**(-7)*h**(1\/15))**(-4\/5) assuming h is positive.\nAnswer: h**(-67052\/10725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from sood.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-3 + (2 - -4) - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k + 10. Let m be i(-6). Suppose 5*g + m*f - 61 = -0*g, 3*f - 12 = 0. Solve -g*o + 6 = -3*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19\/(-19))\/(-9*-1*3\/9)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 7*m + 7. Let b be f(5). Let p(k) = -7*k**2 + 10*k - 54. Let a(x) = -6*x**2 - 4*x. Let l(g) = a(g) - p(g). What is the hundreds digit of l(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*m**2 + 12*m - 1 + 17*m**2 + 98*m**2 + 43*m**2 - 1 to g*m**2 + j + o*m and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -99*x**4 + 6*x - 128*x**4 - 6*x**2 + 118*x**4 to v*x**4 + u*x + b*x**3 + z*x**2 + j and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/(-20))\/((35\/(-20))\/7)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 36.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -96.8 times 0.21\nAnswer: -20.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of w - 29*w**5 - 4*w + w + 58 - 1032*w**4 + 1033*w**4 wrt w.\nAnswer: -580*w**3 + 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 2*t**3 - 1 + 1072*t**3 + 627*t**3 - 679*t**3 + 0*t**3 - t**3 + 2*t**3 + (2*t + t - t)*(t**2 + 4*t**2 - 6*t**2).\nAnswer: 1021*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-20)*(-2 + (-25)\/10)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11753334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {j: 3, v: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/28)\/((-2280)\/2660).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 10*g + 7. Calculate m(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*k**3 + 14*k**3 - 16*k**3 - k**3.\nAnswer: 62*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 218015159 minus -4836.7?\nAnswer: 218019995.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/60)\/(1\/10))\/(61134\/7974).\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*c - 10*c = n + 20, n - 2*c + 16 = 0. What is the common denominator of 4\/n*(-894)\/40*5 and -101\/104?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tjjvjjjjvhvjvvvjb. Give prob of picking 1 t and 2 v.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/17, 12, 4, 0.24 in decreasing order.\nAnswer: 12, 4, 6\/17, 0.24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 55522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19210.\nAnswer: 2, 5, 17, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - f)*(-12 + 2 + 4).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25662?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in seven sixteenths of a minute?\nAnswer: 26250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 138229 = -9*u. Is ((-14)\/5)\/(u\/(-1330) + -8) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + 7. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**3 - 28*a**2 + 54*a + 33. Let k(g) = 16*g**3 - 141*g**2 + 272*g + 165. Let o(p) = -2*k(p) + 11*u(p). Does 29 divide o(24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-33 - -9) - 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + d + 16. Suppose -8 = -2*l, -d*u + l + 36 = 6*l. Solve -u*k = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 71460753.7 and 11.\nAnswer: 71460764.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzu when three letters picked without replacement from udmujzzzjz?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5.3 equal to -0.25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16341 - -16815. Calculate the highest common divisor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39 or 2\/7?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.7006 take away 115?\nAnswer: -128.7006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 49*g**2 + 4*g + 5. Let x be z(-6). Let m = -1002 + x. Let r = m - 424. What is the highest common divisor of 29 and r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7.3 - -7. Let i = b - -0.3. Let h = -0.5 + -1.5. What is the nearest to h in i, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 139*q - 30. Is u(19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o**2 - 89*o - 100. Give q(31).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201339 - 149*p**3 + 201339 + 24*p**3 - 297*p**3.\nAnswer: -422*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v + 4 - 4)*(-5 + 2 + 1)*(-6 - 1 - 2).\nAnswer: 54*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0425657829 and -1?\nAnswer: 1.0425657829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0.5, 0.4 in increasing order.\nAnswer: -7, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-13)\/(13\/(-630)) - -3. Suppose -3*k - 3099 = -3*g, -3*g - 4*k - y = -3767. Let j = g + -185. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide ((-1)\/(6\/1533))\/((-424)\/(-48) + -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 3, 98, 68 in descending order.\nAnswer: 98, 68, 9, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.248 + -3.932. Let x = -4 - i. Let k = 0.48 - x. Round k to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 28*v - 6. Calculate the remainder when o(4) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -338508, -677009, -1015498, -1353975, -1692440, -2030893?\n\"Answer: 6*b**2 - 338519*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of 4*r + 0*r**6 + 0*r**5 + 0*r**3 + 0*r**2 + 0 + 4\/21*r**7 + 1\/6*r**4. Find the third derivative of c(g) wrt g.\nAnswer: 480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/35 and -47\/56?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 10315643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 153450535 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/141 and -97\/8?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/((t\/(t\/(t**(1\/22)*t)*t))\/t)*t*t\/t**(-5\/11) assuming t is positive.\nAnswer: t**(97\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/(-28))\/(18\/27))\/((-5)\/120)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15210)\/60333*7\/(-3).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 3 d when four letters picked without replacement from hdddffd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2815*d - 2 - 1 + 2727*d.\nAnswer: 5542*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Suppose -2*x + 3 = -r - 10, 1 = u*x - 5*r. What are the prime factors of 3*(x\/2 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4851917 and 2.59?\nAnswer: 4851919.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4903?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 + 11. Suppose -r*n - 5*g + 35 = 0, 0 = -5*n + 2*g + 11 + 68. What is the remainder when -14*(0 - 0 - 2) is divided by n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*o**4 + 178*o - 178*o + (-1 + 1 + 2*o)*(-12*o**3 - 3*o**3 + 0*o**3).\nAnswer: 27*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*x = 15*x + 13*x + 28. Which is the smallest value? (a) x (b) -221.7 (c) 5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/10 - (-298)\/10. What are the prime factors of 888\/s - (-4)\/10?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 7 - 3 = 0. Suppose -5*m - o*h = -195, 0 = 5*m - 0*m + 5*h - 195. Calculate the remainder when m is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i - 2*g = -1216, -2*i + 133 + 75 = -g. Calculate the smallest common multiple of i and 6.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 7*z**2 - z - 9. Let g(d) = -d**2 + 4*d + 2*d + 0*d - 23 + 16. Let r be g(6). Give n(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7584 and 16409248?\nAnswer: 2528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a + 16. Let k be x(-7). List the prime factors of (-48)\/9*k\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 862.864 weeks in milliseconds?\nAnswer: 521860147200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2098 (b) -5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 17*t**3 - 11*t**2 + 40*t - 17. Let w be a(5). Find k, given that 2*k**4 + 4*k + w*k**3 + 23*k**4 + 3*k**2 - 6*k + 9*k**5 - 2012*k**3 = 0.\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4907, 19604, 44079, 78320, 122315, 176052?\nAnswer: 239519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*o - 596*o + 304*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31383 + -7907. List the prime factors of y.\nAnswer: 2, 5869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2616)\/(-109))\/(((-20)\/10)\/(-2))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b. Let a(i) = -1 - 4 - 2*i + 9 - 6. Let s = -32 + 17. Let x = 19 + s. What is x*u(t) - a(t)?\nAnswer: -2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156197 and 1433.\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193?\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*d - 11*d**5 + 21*d + (0*d**2 + 3*d**4 + 0*d**2)*(5*d - 2*d - 2*d)*(1 + 0 + 1).\nAnswer: -5*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-6))\/4*(-1652)\/(-2065)*90\/(-112)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tqk. Give prob of sequence tk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/((-594)\/(-504)))\/((2\/(-3))\/1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**2 + t - 3*t**2 - t**2 + 6*t**2 - 1. Let o be p(1). Let m(l) = l**3 - 11*l**2 + 13*l - 9. List the prime factors of m(o).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*c = -63*c + 308 + 108. Solve 0 = -3*o + 2*b - c, 9*b - 8*b - 5 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1838 is divided by 173.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 430\/17 + 7\/34. Find the common denominator of a and -47\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1250 by -30.\nAnswer: -125\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*w - 24 = 0. Let j(i) = 6*i - 13. Let y(d) = -2*d + 6. Let o(z) = -j(z) - 4*y(z). Calculate o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 1 - (24 + -25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30360\/(-2300)*5\/(-3).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2646144769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-2\/5))\/(x\/(x\/(x**(4\/9)*x))*x) assuming x is positive.\nAnswer: x**(-83\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (3 + 0)) + 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 + 8 + 39 - 17 + 31)*((0*v**4 + v**4 + 0*v**4)*(2 + 0 + 0) - 12*v**4 - 3 + 3) as m*v**4 + n*v**2 + o*v + d*v**3 + z and give m.\nAnswer: -670","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/39391? (a) 1\/5 (b) 3 (c) 7 (d) -0.062\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(d - d + d) - 6*d + 3*d + 2*d + (0*d + 0*d - 2*d)*(6 - 3 - 2) - 4*d + 4*d - 2*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.07 and -6.6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 - (-18 - 1 - -31)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47109 is divided by 15694?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13549 - 13549 - 501*h**2.\nAnswer: -501*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1228.1887 - 1228. Is l at most 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 11) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 5, -0.2, -0.05, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*j - 3*r = 472*j - 25, 3*j = -r + 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 13 = -j + 2, -4*d - 35 = 3*j. Sort d, -3, -1 in decreasing order.\nAnswer: -1, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -2 - (5 + 0 + -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 + 36*l**2 + 81*l - 19. Let y be b(20). Let c(h) = -h + 3. Let j(a) = -2*a + 4. Let g(w) = 4*c(w) - 3*j(w). Give g(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**34*(o\/(o*o*o**(5\/9)*o))\/o*o)\/(o**(-1)\/o**13))**(2\/13) assuming o is positive.\nAnswer: o**(818\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1061684502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -40.33 + -115.95. Round b to 0 dps.\nAnswer: -156","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**2*x)**6*x**(-6)*x*x*(x*((x\/(x\/(x\/x**1)))\/x*x)\/x*x)\/x*x**(2\/3)\/x**(-1\/11)*x**0*x*x**(-1\/5) assuming x is positive.\nAnswer: x**(-403\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -74 + 23?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 15100931 and 0.5?\nAnswer: 15100930.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*p**2 - 163*p**2 + 157*p**2 + 2.\nAnswer: -168*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 442*v**2 + 18 + 11 + 18)*(-7*v**3 + 3*v**3 + 0*v**3).\nAnswer: 1768*v**5 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 124572, 124552, 124532?\n\"Answer: -20*g + 124592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 1770 = -21*s. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -91.5 and 29.843212?\nAnswer: 121.343212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*p + 10*p - 7*p**5 + 7*p + 21*p**5 wrt p?\nAnswer: 280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110001100101 (base 2) in base 7?\nAnswer: -12152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = x + 2*p + 4, 4*x - 3*p = 30. Calculate the least common multiple of x and (10\/15 - (2 - 2))*6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 5*y**2 - 6*y + 6. Let j(n) = n**2 - n + 1. Let r(v) = -6*j(v) + w(v). Let f(x) = 23*x**2. Calculate f(r(i)).\nAnswer: 23*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a713 + -99?\nAnswer: -1a7b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b411a - 66?\nAnswer: -b4184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -9*q + 43. Determine u(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7047*k*u**2 + k*u + 3*k + 2278 with respect to u.\nAnswer: 14094*k*u + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 13959?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79425 + -42747. List the prime factors of f.\nAnswer: 2, 3, 6113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 684*r = 679*r + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 8*k**2 - 640*k - 1370. Calculate g(81).\nAnswer: -722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in years?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 5*w - 4. Let t be i(4). Let s(n) be the first derivative of -n**3\/3 + n**2\/2 + 4*n + 1. Let u be s(t). Solve 20 = u*y - 0, -y = d - 6 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of -g**6\/120 - g**5\/30 + g**4\/24 + 17*g**3 + 2*g**2. Let o be 176\/(-352)*0\/(-1). What is the units digit of w(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/21)\/d)**45\/((d**(-1\/7)\/d)\/d**(10\/9)) assuming d is positive.\nAnswer: d**(-2963\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4254 is divided by 67.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -1\/8, 1\/32, -0.2, -2\/15?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 7*w**2 - 12*w + 10. Let f be j(4). What is the hundreds digit of 669\/(f\/4*(-24)\/(-80))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 497 - 481.04. Let v = -16 + r. Is v > 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34\/(-10)*28\/((-868)\/(-155))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 18. Suppose 0 = -f - v*f + 156. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + (-7 - -2) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 168 + -24. Suppose -4*a + 0 = -i. Calculate the highest common divisor of 54 and a.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 9905456?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -374 - -459. Is 3 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j - 5. Let q(z) = -z**2 + z + 1. Let p(y) = -g(y) - 5*q(y). Let b(x) be the second derivative of x**3\/3 + 12*x + 43. What is p(b(n))?\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -8*m + 3*m. Which is bigger: 1\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 5:18 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 133.926 decades in millennia?\nAnswer: 1.33926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - z**2. Let f be g(-2). Suppose -4*s + 8 = 2*v, s - f = -v - 0*s. Suppose u = -v*u. Solve j = -u*j + 4 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 72*m**2 - 149*m + 77. Calculate g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((17\/8)\/17)\/(6\/96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2 - 14348*c + 214320 = 0. What is c?\nAnswer: 15, 3572","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**4 + 3. Let j(o) = 14*o**4 - o**2 - 5. Let v(i) = 5*c(i) + 3*j(i). What is the third derivative of v(d) wrt d?\nAnswer: 168*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1493, 683, -161, -1039, -1951, -2897, -3877?\n\"Answer: -17*q**2 - 759*q + 2269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - c**2 + 47*c**2 - 10*c**2 - 12*c**2 + 254.\nAnswer: 18*c**2 + 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3 - 66992*o**2 + 1116805845*o + 173580534666.\nAnswer: (o - 33573)**2*(o + 154)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b - 6. Let r(a) = -16*a + 14. Let v(n) = -3*r(n) - 7*u(n). Let d(k) = -2*k. Give v(d(x)).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2849 to the nearest 100.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -23*n. Let f(l) = -1936*l. Let x(z) = -63*z. Let r(p) = 4*f(p) - 121*x(p). What is c(r(u))?\nAnswer: 2783*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z**2 + 34*z + 5. Suppose 5*q + 3*i + 62 = q, 22 = -q - 4*i. Does 13 divide u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72225409.\nAnswer: 131, 551339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1937901*w**2 + 1768610*w wrt w.\nAnswer: 3875802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2. Let d(a) be the third derivative of a**5\/12 - a**4\/24 + 2*a**2 - 164. What is the units digit of d(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.7 and 0.35.\nAnswer: 0.595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417540 - 1417544 + 4252591 - 4*u - 1417513 - 4*u.\nAnswer: -8*u - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**6 + 3023975*m**4 + 45053363*m**2 wrt m?\nAnswer: 360*m**3 + 72575400*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/24 and -145\/96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013521887 rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (27 - 19) + -59 - -28.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8498449, -16997004, -25495559?\nAnswer: -33994114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -557095 greater than -557069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12005 - -17685. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495751 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 179129, 358276, 537423, 716570?\nAnswer: 895717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10*z**2 + 32*z**2 + 4*z - 7 + 1 + 6*z - 2*z. Let h(o) = -7*o**2 - 3*o + 2. Determine 8*h(k) + 3*j(k).\nAnswer: 10*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 + 4*o**2 + 3*o - 10. Calculate x(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 518776, 518760, 518744, 518728?\n\"Answer: -16*p + 518792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -6*p**2 + 8. Let y(b) be the first derivative of -7*b**2\/2 + 137. Determine y(d(g)).\nAnswer: 42*g**2 - 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - a + 1. Let q(p) = p**3 + 4*p**2 + 18*p - 6. Give q(f) + 4*r(f).\nAnswer: f**3 + 14*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + 5 + sqrt(20)\/sqrt(4)))**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -1. Suppose 2*z = -5*l - c, -3*z + 2*l + 62 - 16 = 0. Does 4 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1709 (b) 3\/2 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306013812?\nAnswer: 2, 3, 13, 233, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by (-1)\/((4\/(-2))\/44).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 120061 (base 7) to base 13\nAnswer: 9b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c + 4*m - 41 = -10 - 29, -4*c + 16 = 2*m for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + (-14 + (-9 - -46) - 9 - 10).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3 (b) -1\/4 (c) -161\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 38*l**2 - 35*l + 182. What is f(-39)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 830529697 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 195 + 7*n**2 - 1412 + 310 - 1816 - 3420.\nAnswer: 7*n**2 - 6143","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v + 0 + 0)*(2*v - 4 + 4) + 3*v - 351*v**2 - 65*v**2 - 3*v - 95*v**2 to u + f*v**2 + o*v and give f.\nAnswer: -513","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 107, 235, 405, 611, 847, 1107, 1385?\nAnswer: 1675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 8*j**2 - 35*j - 14. What is a(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.571132 - -0.0823. Let d = 0.49 + c. Round d to four decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*d - 2*d + 23, 11 = 5*d + o. Let z be 1\/2 - (-3 + d\/2). Calculate the greatest common divisor of z and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -557 in 2\/3, 3, 38, 0.2, 1.1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = l - 36. What is the derivative of -22 - 4*c**l + 62*c**2 - 221 wrt c?\nAnswer: 116*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 - (12\/(-4) + 0). Let p be (11 - 2) + h*2\/(-8). Suppose t = p + 52. What are the prime factors of t?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(84))\/sqrt(12) + (2*sqrt(847))**2.\nAnswer: -sqrt(7) + 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k + 18*k = 5*y + 29, -12 = 4*k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**2 + 250185*i - 149770728.\nAnswer: -3*(i - 82792)*(i - 603)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -109620814?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2967, -4, 1, -1 in increasing order.\nAnswer: -4, -1, 1, 2967","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2\/5, -0.054, 5 in decreasing order.\nAnswer: 5, 2\/5, -0.054, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 225 and 751275.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4984 take away -236.1?\nAnswer: -4747.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-4)\/28*-7 - 37)*-38?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 5*q = u - 8, u = 2*q + 22. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1208 + 1210 + (8 + -7)*3\/(6\/46)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/27)*s)**(-2\/11)\/((s\/((s**(2\/3)*s)\/s)*s)\/((s*s\/s**(3\/7))\/s)) assuming s is positive.\nAnswer: s**(-1934\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7133603, 7133607, 7133613, 7133621, 7133631?\nAnswer: 7133643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 f when two letters picked without replacement from {n: 5, i: 5, f: 2}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 + 217. Let l be (-16)\/(384\/1410) + (-2)\/j. Round l to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -15322141?\nAnswer: -15322141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1775839, -3551641, -5327443?\n\"Answer: -1775802*c - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 - g**2 - 2*g + 3. Let m be y(1). What is the units digit of ((-15)\/9)\/((-76)\/36 + m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of -1\/15*z**5 + 16*z**2 + 0 + 0*z + 17\/24*z**4 + 0*z**3. Find the second derivative of h(c) wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -28 + 19. Let n = 343032.999936 - 343042. Let w = n - y. Round w to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bltnunpp. Give prob of sequence pu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 483*l**2 - 240*l**2 - 242*l**2 - 38 - 4*l. Let c be p(8). What is c rounded to 0 decimal places?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/(-4) - (1 - 4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a + 18. Let s be m(7). Let t(n) = n + 9. Determine t(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h - 24. Let g(q) = -6*q + 48. Let c(b) = -6*g(b) - 13*i(b). What is the units digit of c(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*d + 4*d + 17*r + 13, -453*r + 4 = -457*r for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3553289*w = -3553268*w - 567 for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -630, -1243, -1848, -2451, -3058?\nAnswer: -3675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = -20*k - 10*k. Put 2, -69, 3, k in descending order.\nAnswer: 3, 2, k, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 87 = -13. Let z(u) = -u**3 - 3*u**2 + 11*u. Let c be z(-6). Let p = c - f. Solve -i + 2 - p = 0, -3*j = -3*i - 18 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4\/3)\/y**(-1\/2))**(-15))**(5\/11))**(9\/2) assuming y is positive.\nAnswer: y**(1125\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 31*g + 4. Let v(h) = -30*h - 4. Let n(d) = 2*l(d) + 3*v(d). Let q be n(-3). What is the greatest common divisor of 20 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48681 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = -3*s, -4*y + 2*y + 4*s = 8. Let x be 1280\/24 - y\/3. Suppose 0*t - 2*t + x = 0. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -29*h**2 - 123*h + 29. What is n(-7)?\nAnswer: -531","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/11 in -0.4, 4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 - 21*w + 30. Calculate the least common multiple of f(10) and 990.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*u + 15*u - 63. Let p = u + 25. Suppose -5*q = -4*b + 87, -p*b - 53 = -5*b - 5*q. Calculate the highest common divisor of b and 112.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m + 4*l - 25 = 0, -5*l + 20 = 3*m. Let p be (-1)\/2*0 + 358. Let y = 523 - p. Calculate the highest common factor of m and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2901 + 6919?\nAnswer: 961a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1325 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 130770407\nAnswer: 13\/130770407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 924 and 1680?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11331 - -1041?\nAnswer: 12422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, 0, -1 in decreasing order.\nAnswer: 0, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00242885409 to six dps.\nAnswer: 0.002429","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2428 is divided by 128?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziqizzziii. What is prob of picking 3 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.4199679 to three dps.\nAnswer: -14.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.9 + -1.9. Let a = -5.3 + y. Let h = -2 - -2. What is the closest to 0 in h, a, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/5)\/p**(-13))**(-5) assuming p is positive.\nAnswer: p**(-61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100110?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -790681237 or -790681235?\nAnswer: -790681235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*t - 20 = -144*t + 3*u, 0 = 4*u for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2\/7, 148, -8.535 in descending order.\nAnswer: 148, 2\/7, -2\/7, -8.535","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(44)*4*6)\/((sqrt(56)\/(1*sqrt(7)))\/sqrt(2)))**2.\nAnswer: 25344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -133793081 and -2.6?\nAnswer: 133793078.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h - 5*f = -9, 5*h - 5*f - 55 = 0. Suppose -2*b + h = a + 3*b, 4*a = -4*b + 16. Let s be (-28)\/49*a\/(-132). Which is bigger: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1419009 to the nearest integer?\nAnswer: 1191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**3 - 305*r**2 - 205*r - 299. Give l(-101).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 1:41 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 3355118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*j**2 + 6*j**2 - 4*j**2)*(-18 + 7 - 12)*(-2*j + 3*j + 0*j)*(-4 - 4 + 4)*(-2*j + 5*j + 0*j) as b*j**3 + z*j**4 + k*j**2 + p + u*j and give z.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 3*y = 18, 4*y = -7*j + 6*j + 11. What is the remainder when 14 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10 and 711684994370.\nAnswer: 711684994380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*i - 6*i**3 + 16*i)*(-3 + 3 + 1)*(-2 - 1 + 1).\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*d + 23 = -37. Suppose 0 = j + 3*j - w - 324, 4*j - d*w = 328. Calculate the remainder when 318 is divided by j.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 24151700 to the nearest integer?\nAnswer: 4914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371*u + 654*u + 251*u - 4*u**2 + 5*u**2.\nAnswer: u**2 + 1276*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/11 in 30, 4, 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/11))**50\/(c*c\/c**22*c**(-18\/5)) assuming c is positive.\nAnswer: c**(798\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/(-144) + 1\/(-2). Which is greater: h or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6424528 is divided by 1393?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 3859.465.\nAnswer: 3838.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1770323, 1770332, 1770345, 1770362, 1770383?\n\"Answer: 2*r**2 + 3*r + 1770318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/1*(27 - 40)\/(-39). Solve z = 115*a - 84*a - 186 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -18.3. Are b and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7346, 29377, 66120, 117569, 183718, 264561, 360092, 470305?\n\"Answer: -v**3 + 7362*v**2 - 48*v + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5\/4 (b) -4.931 (c) 3.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 99*v**3 + 55*v**2 - 55*v - 55. Let j(o) = 7*o**3 + 4*o**2 - 4*o - 4. Calculate -4*d(z) + 55*j(z).\nAnswer: -11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-52)\/9 + 4\/(-18). Let l = 1 - 3. Let i be (14\/3)\/(l\/(-3)). Let m(y) = -5*y - 5. Let a(s) = -4*s - 4. Give i*a(r) + p*m(r).\nAnswer: 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 3*g - g**3 - 3 - 2*g**2 + 3*g. Let t be p(-3). Solve t - 2 = -r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35023343 (base 6) to base 4\nAnswer: 10012303233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(6) + 1*sqrt(294)).\nAnswer: sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5*n = -2775, -5*h - 3*n + 3956 = 1189. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198916458 is divided by 66.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4284 + -4284. Solve -2\/7*o**4 - 10\/7*o**3 + 0 + 4\/7*o**5 - 4\/7*o**2 + s*o = 0 for o.\nAnswer: -1, -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 - 6 - (-1671)\/12 - (-6)\/8. Sort -2, 2, z in decreasing order.\nAnswer: z, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 2 = 0, -5*n + 7*n - 22 = -5*x. Let z be (1\/2)\/((-1)\/(-2)). Suppose -5*m - z = -2*c + 1, x = 4*c. Solve -p = f - 4, 4*f + p - 8 - 11 = m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 98448764.0000065 - 98448795. Let i = -31 - y. What is i rounded to 6 dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unu when three letters picked without replacement from {u: 3, c: 1, n: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**3 - 53*y**2 + 164*y - 38. Give f(7).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 11*r - 149 = 10*r, 0 = 22*p - 32*p - 9*r + 757 for p.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-1\/56)*i*i**(2\/65) assuming i is positive.\nAnswer: i**(3687\/3640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 (base 16) in base 13?\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 139041*p**2 + 304313 wrt p?\nAnswer: 278082*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 5*f**2 - 4*f + 12. Let s be k(-5). Calculate the greatest common divisor of s and 256.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 616*t + 29*t**2 - 616*t + 8*t**2. Let u(g) = -29*g**2. Determine u(k(o)).\nAnswer: -39701*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346 = 2*y + 2*v, y = -3*v + 27 + 136. Let x = y - 146. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/(6665\/186)*80\/3.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 12 = -13. Let q = -13 + 10. Let r be q*(4\/(-3) - 0). Solve p = r*c - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = y - 110. Calculate the greatest common factor of 11 and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppcctbccypqpqpcy. What is prob of sequence cq?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hnhpp. What is prob of picking 1 h, 1 p, and 1 n?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-54))\/(-1) + (-1)\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 82, 960628.\nAnswer: -1, 82, 960628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-165)\/(-275))\/((-2)\/(-10)). Factor v*b**2 + 1\/3*b + 11\/3*b**3 + 4\/3*b**4 - 1\/3.\nAnswer: (b + 1)**3*(4*b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) 143530 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 - 2*o + 2. Suppose 2*g + 2*g = -8. Let a be v(g). Sort -1, 2, a in descending order.\nAnswer: 2, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.487438 + -15.5. Let k = z - -0.0119. What is k rounded to 4 dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25688 - 25614. Calculate the remainder when 94 is divided by v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1632, 1645, 1672, 1719, 1792, 1897, 2040, 2227?\n\"Answer: k**3 + k**2 + 3*k + 1627","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4 + 3. Let r = 79 + -77. What is the biggest value in r, d, -14?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005748 rounded to 5 dps?\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7999*a**2*b**2 - 10624*a**2 - 2*a*b**2 - a wrt b.\nAnswer: -15998*a**2*b - 4*a*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -0.2, -0.183, 35.4 in ascending order.\nAnswer: -1, -0.2, -0.183, 5, 35.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/189 and 5\/256102?\nAnswer: 6914754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 4*r**5 + 1284*r**4 - 10448*r**3 + 26256*r**2 - 21056*r = 0.\nAnswer: -329, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**8\/6720 - t**7\/168 - 5*t**6\/48 - 7*t**5\/20 - 34*t**2. Let i(f) be the third derivative of q(f). Factor i(h).\nAnswer: -3*(h + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 9:48 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.1 - -1.1. Let d = 3 + b. Let y = d - -8. What is the nearest to -0.1 in y, -1, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71889896 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -76618, -76616, -76614, -76612?\n\"Answer: 2*r - 76620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 350, 741, 1134, 1529, 1926, 2325, 2726?\n\"Answer: w**2 + 388*w - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by -1401063.\nAnswer: -25\/1401063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 + 83*t + 155 + 159 + 164 - 3*t**2 - 2*t**3 - 477 to f*t**2 + n + i*t + j*t**3 and give i.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -9 + 1c83bf?\nAnswer: 1c83b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 617 or -21450?\nAnswer: -21450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**0\/(b\/b**(1\/23)))\/(b**(-12)*b**(-18)) assuming b is positive.\nAnswer: b**(668\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174*h**5 - 5*h**3 - 71384*h**2 - 124255999*h - 1 wrt h?\nAnswer: 3480*h**3 - 30*h - 142768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3784.\nAnswer: 2, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9159501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j + 0*j - 2*j)*(2*j**4 - 4 + 4) - 3*j**5 + 2*j - 2*j - 3*j**5 + 5*j**5 - 3*j**5 + (2*j**2 - 2*j**2 + 2*j**2)*(-j**3 + 4*j - 4*j).\nAnswer: -10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 116665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346691?\nAnswer: 83, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v - 3*v - 524 = 3*j, 0 = 2*j - 8. What are the prime factors of v?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -207 - -145. Let o = 62 + d. Which is the nearest to 1\/3? (a) o (b) 0.1 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 7*k**2 + 4*k**3 + 7 - 5*k**3. Suppose -154 = -4*r - 130. Calculate a(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and 55?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 54*r + 1697. Determine k(-34).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104.2 + -95.1. Round u to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bfb when three letters picked without replacement from btbf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102402, -409596, -921582, -1638360?\nAnswer: -2559930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {m: 4, w: 3, e: 1, s: 1, i: 6}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*r = -5716, -3*r + 2373 = -5*y + 11925. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 1, 0.5, -3\/31, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r*r**(1\/8))*r*r**10*(r*r**(-6\/5)\/r)\/r**(-10) assuming r is positive.\nAnswer: r**(827\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 - -9. Let o be 160\/76 - (-4 - (-78)\/19). Let -4\/5*g - 2\/5*g**a + 0 - 6\/5*g**o = 0. Calculate g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -4 - (-11 + 10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((3 - 7)*(4 - 2))\/(-2). Let u be 795\/g + (-35)\/(-28). What is the greatest common divisor of 25 and u?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -5711.5898?\nAnswer: -5706.5898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5540 in 0.14, 10, -6, -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 22371, 22370, 22369?\n\"Answer: -b + 22372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 1159 - 59 = 0. List the prime factors of t.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3828276, -3, 1\/10 in decreasing order.\nAnswer: 3828276, 1\/10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 104.\nAnswer: -20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 6*j**3 - 7*j + 6. Let u be q(4). Let d = u - 103. What are the prime factors of 0\/2 + d\/7?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -121448490.\nAnswer: -1\/40482830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.03 + -2.3. Suppose 512*v = 532*v + 40. Which is the third biggest value? (a) 1\/6 (b) v (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u - 16. Let w(p) = -9*p + 1. Let q be w(1). Let c be o(q). Solve c = g + 3*g - 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94 and 2626.\nAnswer: 123422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2219*d**3 + 1 + 785*d**3 - 509*d**3 + (d**2 + 2 - 2)*(0*d + d - 2*d).\nAnswer: 2494*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 28*f**3 + 49292*f**2 - 275416*f + 141280 = 0.\nAnswer: -1766, 4\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29822 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -10, -4 in descending order.\nAnswer: 0, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 7\/2*y - 5 - 1\/2*y**2 = 0?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -15*w - 16. Does 11 divide d(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265169635 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2447*u - 17274. Give s(-7).\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*a - 5, 8*g - 15 = 5*g - 3*a. Suppose 5*m + 3*x = 1, 7*m = g*m - x - 9. Solve -w - 1 = -2*i, m*w + 10 = -3*i - i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 3:27 PM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-112)\/(-112)*(-6)\/(-2). Factor 3 + 3\/4*d**2 - w*d.\nAnswer: 3*(d - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from vvguwmu.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 660349327?\nAnswer: -660349327.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 110210 (base 4) in base 11?\nAnswer: a97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p - 208 - 207 + 2*p**4 + 4*p**3 + 417 in the form h*p**2 + q*p**4 + k*p**3 + c*p + z and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*a - 7*a**2 + 5*a**2 + 4*a**2 + (2*a - 2*a + 2*a)*(a + 1 - 1))*(a**3 + 0*a**2 + 0*a**2)*(-1 - 3 + 0).\nAnswer: -16*a**5 - 44*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3 - 35386*k**2 + 1658816*k - 1623432.\nAnswer: 2*(k - 17646)*(k - 46)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14 + 20. Let p(r) = l - 3*r + 2 - 5 + 4*r. What is the units digit of p(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3058 rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -5. What is the tens digit of (f - -11)\/(8\/52)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10420160 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 4*d**2 - 2. Determine a(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 1. Let s(x) = 51*x + 4. Let j(n) = -3*k(n) - s(n). Is j(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m**2 + 2*m - 12. What is the tens digit of t(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8739 - -8840. Let z be 1\/(2*1\/202). Differentiate z*p - d*p - p**2 + 43 with respect to p.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 4\/7 of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2642?\nAnswer: 2, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 2:09 AM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655*k**2 + 624*k**2 - 1923*k**2 + 647*k**2.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is 38234 to the power of 1\/2, to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p + x = 20*p - 1, 0 = 4*x - 16 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdco when four letters picked without replacement from qodqdgqcgd?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -32239, -32240, -32241?\n\"Answer: -o - 32238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -157812245.7 * -3.\nAnswer: 473436737.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -0.31, -60, -4, -26?\nAnswer: -0.31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -5*v**2. Let l(b) be the first derivative of b**3\/3 - 1. What is y(l(i))?\nAnswer: -5*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -231 minus -0.03?\nAnswer: -230.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38071731 divided by -4?\nAnswer: 38071731\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29968 is divided by 236.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/122612536 and 31\/1237122.\nAnswer: 1103512824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4008, 16027, 36058, 64101, 100156, 144223, 196302?\nAnswer: 256393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4442 + -1887. Let h = t - 633. List the prime factors of h.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdsd when four letters picked without replacement from {f: 9, d: 2, s: 3, k: 2, v: 1}?\nAnswer: 9\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1332360?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129 = 37*c - 3*o, -8113*c - 3*o = -8118*c + 33 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51330 and 30755225.\nAnswer: 184531350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4 + (-114)\/(-12). Suppose -3*o = -3 - z. Let n = 0.6 - 4.6. Sort n, -3, o.\nAnswer: n, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -9. Let t be (-2)\/(((-3)\/w)\/6). Sort -5, t, 0 in increasing order.\nAnswer: -5, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*g - 2*g = -40, 5*j = 4*g. Let l(a) = 3*a**2 - 1. Let i be l(-1). What is the third derivative of q**j - q**4 - i*q**2 + 3*q**4 - 2*q**2 wrt q?\nAnswer: 72*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 33963 = -14673. Let k = m + 437611\/18. Find the common denominator of k and -89\/14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 4*r - 4. Let b be c(5). Suppose 0 = 4*p + j - 33600001, 2*p - 5*j + j = 16800014. Let o be 0 + 0 + b - p. Round o to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -3) + 25742\/(-20). Let p = c - -1290. Find the common denominator of p and 27\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102980.\nAnswer: 2, 5, 19, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 - 2*l - 6. Let h(f) = -f**2 + 3*f + 5. Let g(d) = 3*h(d) + 2*u(d). Let j = -25 + 22. Give g(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(98) + sqrt(98)*-1 + (3 + 2 + sqrt(98) - sqrt(98)) + (5 + 4 + sqrt(98))*2)*-5)**2.\nAnswer: 19600*sqrt(2) + 29400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 473*c**3 - 557*c**3 + 478*c**3 + 51 + 82*c**3 - 51*c. Let o(l) = 19*l**3 - 2*l + 2. Determine 51*o(j) - 2*t(j).\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -7*b + 0*b**2 - 5\/9*b**3 - 11\/18*b**4 + 0 - 1\/45*b**6 - 7\/30*b**5. Factor o(j).\nAnswer: -2*j*(j + 1)**2*(j + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 626000660?\nAnswer: -626000661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3323, 3290, 3229, 3134, 2999, 2818, 2585?\n\"Answer: -l**3 - 8*l**2 - 2*l + 3334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17584 divided by -5.\nAnswer: 17584\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27 - -27. Let c(s) = 12*s**2 - s - 2. Let q be c(-2). Suppose p*l + q = 4*l. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 43 = -12. Suppose 9*i = -13 + n. Suppose -5*z + i*a = -2*z - 147, 0 = -z - a + 44. Is z a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.0675 * -5\nAnswer: -10.3375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6403*z**2 + 10683*z + 10674*z - 21357*z + 6406*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3\/4, -3, -0.51, 42?\nAnswer: -0.51","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5223 bigger than -5218?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 122, 241, 360, 479, 598, 717?\n\"Answer: 119*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4661177042 to the power of 1\/3, to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53167 + -87467. What is o rounded to the nearest one thousand?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1852736 (base 9) in base 11?\nAnswer: -64a42a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -2*h**5\/15 - 13*h**4\/3 + 8*h**3 + 78*h**2 - 162*h + 4538. Solve i(v) = 0.\nAnswer: -27, -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/2 (b) 0 (c) 1\/3 (d) 323 (e) -6 (f) -0.95\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -43, -76, -109?\n\"Answer: -33*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 1:35 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 - (-3 - -5)) + -3. Let d(s) = 2*s - 7. Let z be d(x). What is the second derivative of 3*q - q**2 - 3*q**3 - z*q + q**2 wrt q?\nAnswer: -18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -109*j + 2. Let v = 16 - 13. Let r be h(v). Let l = -114 - r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/(-104))\/(6\/(-4))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 4*q**2 - 7*q - 17. Let c = 2 - 11. Let h = -5 - c. What is the remainder when y(-3) is divided by h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1197 = 682*y - 853*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 440.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2 - 19*z + 17. Let u(n) = n**2 + 4*n - 3. Let v(i) = 2*f(i) + 11*u(i). What is v(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**4 + 3*q**4 - 3*q**4)*(253 - 253 + 40*q)*(0 - 2 - 2).\nAnswer: 160*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 - 2*y**4 + 20 - y + 11 + 5*y**2 + 10 - 40 to the form f*y**4 + i*y**2 + j*y**3 + x*y + p and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 136.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3 (b) 0.1 (c) 2\/15 (d) 1\/4 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5275?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, q: 1, b: 2, e: 5, w: 6, l: 2}. Give prob of sequence qwo.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -1. Let h(t) = -1. Let b be (-20)\/(-5) - 7 - 38. Let l = 37 + b. Let d(p) = l*i(p) + 6*h(p). Let a(r) = -r + 5. Determine 2*a(u) + 5*d(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 + 2 = 0, 4*x = -a. Suppose 4*t = 5*r - a*r + 27, 4*t = -4*r. Solve -18 = -4*q - 2*b, 3*b + 0*b = t*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -791.8197491 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 538 to the nearest ten.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 116416*h**4 - h**3 - 240689*h**2?\nAnswer: 2793984*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 9, -6, -37, -90, -171?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/61? (a) -6 (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 + 214*h + 210*h + 204*h + 89 + 112 - 631*h.\nAnswer: -3*h + 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3 - 2 = -4*z, -10 = 2*z - 2*c. Suppose 2*a - 5*a + 42 = z. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12ee + -2?\nAnswer: -12f0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1645 divided by 2\nAnswer: 1645\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/3 + 432*o**3 + 209952*o**2 + 10*o + 5. Solve m(y) = 0 for y.\nAnswer: -324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -321 - -320. What are the prime factors of 303\/(-3 + (3 - p))?\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 2*x**2 - 2*x - 1. Let n be k(3). Let c be n\/(15\/9 + -1). Let s(b) = -1 + 0*b + 2*b + 2*b**c + b**2 + 2. Calculate s(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3800\/(-836) - -4) + 27\/(-11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.23 - -2.22. Let a = 0.05 + x. Let i = 4.73 - a. What is i rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9554*n**3*u*v + 2161*n**3*u + 10977*n**2*v - n**2 + 4*n*u*v + 3*u*v + 39*u wrt n?\nAnswer: -57324*u*v + 12966*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 4741518\nAnswer: 2\/2370759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 571*m + 9663. What are the prime factors of t(-11)?\nAnswer: 2, 19, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 5*u + 55. Suppose 31*j + 317 = -551. Do u and j have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 133*m**3 - 16*m**2 + 48*m + 25. What is the thousands digit of v(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -13. Let g = 587 + -589. What is the second biggest value in -6, a, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (434 - -9)\/(-3 + 4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/3*16\/(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 + 12 + 3 - 5 + 4 - 2 + 3 + 1 + (4 - 4 - 2)*(4 - 6 + 1) + 0 - 2 + 3 + 2 + 1 - 1 - 2 + 4 - 4 + 0 + 4 - 6)*(8*i**4 + 9*i**4 - 3*i**4).\nAnswer: 182*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l**3 + 12*l**2 + 2*l + 8. Let q be d(3). Solve q*v - 40 + 110 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 - 18*k - 31. What is v(-8)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkgcckkxccgkckcck. What is prob of picking 1 k and 2 c?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 49.8 and 120?\nAnswer: 5976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2670 is divided by 57.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*o + 124 = 0, -4*o = -3*f - 0*o - 134. Let g = 272 - 1908\/7. Sort 0.3, 3, g, f in ascending order.\nAnswer: f, g, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7071\/11 + -643. Which is the closest to -2\/19? (a) -1.1 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -1 - (12 - (4 + 9))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 6*q**2 - 20*q. Let f(h) = 68*h**2 - 220*h. Let b(g) = 3*f(g) - 33*k(g). Let j(v) = 9*v - v - 3*v. Give j(b(x)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(175)*-1 + 0 + sqrt(175))*3 + 3)**2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28*v**5 - 4*v**4 + 46*v**3 - v**2 + 73599*v wrt v.\nAnswer: 1680*v**2 - 96*v + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20373 - 20376. Let c = 0.9 + -1. What is the closest to -2\/5 in 5, 1, c, z?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 12*k - 12. Let b(a) = -1. Let u(p) = -2*b(p) + g(p). Let m be u(-12). What is the units digit of (-45)\/(-2) - (-15)\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of a**4\/3 - 35*a**2\/2 + 25*a. Let c(r) be the first derivative of u(r). Let x(j) = 2*j. Calculate x(c(m)).\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 3 = -3*m + 2*m, 2*h = -3*m + 1. Let b be (-183416)\/(-176) + m*-4. Let s = -1039 + b. What is the common denominator of s and -97\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 PM and 5:54 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -26975?\nAnswer: 161850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**2 + 282684*l + 282680 = 0 for l.\nAnswer: -70670, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -650797 not equal to -3253986\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (228\/1862)\/(87\/(-406))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h + 2*h - 3*h + 1060211 - 1060033 to the form i + n*h and give i.\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - 3*p + 4*p)*(-2*p - 2 + 2)*(2*p**2 - 4*p**2 + 4*p**2) + (-2 + p**3 + 2)*(-4*p - p + 7*p).\nAnswer: 6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, i: 7}. What is prob of sequence iil?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 888 a factor of 6855219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(80)*-1 - sqrt(80))\/sqrt(2))\/sqrt(8))**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*x = -1 + 3, f - 3*x = -7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (63\/27)\/((-2)\/36). Let t = -42 - v. Suppose 7*b - 8*b = t. Sort -3, b, 5.\nAnswer: -3, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, c: 1, x: 5}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -3*z**6\/40 - 3*z**4\/8 - 9*z**2. What is the second derivative of p(o) wrt o?\nAnswer: -54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from {l: 1, n: 2, a: 2, w: 1, q: 1, g: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28.233 + -3.233. Let k = 0.03899 + 23.93101. Let g = r - k. Round g to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1385*u = 28397 + 4843 for u.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**2 + z. Suppose 3*f = -t + 10, -3*f + 6 = -t - 2*t. Determine c(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 9710404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 AM and 11:04 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 33479*j**3*l + 28663*j**2*l wrt j?\nAnswer: 200874*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.29857 to one decimal place.\nAnswer: 20.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 183600542 - 111820542. What is g rounded to the nearest 1000000?\nAnswer: 72000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1045 and 3040.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 - 38 = -2*i. Let m = i + -16. Solve 7*d + 45 = m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127725265 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5728 and 67841?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1215014 (base 8) to base 9.\nAnswer: 558567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 257 + 40 + 5\/(10\/4). What is v rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1903 and -34\/15?\nAnswer: 28545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 33824?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-5*(-30)\/(-25))\/((-2)\/(-6))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 333.0425 milligrams?\nAnswer: 333042.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 + 0.1. Suppose 0 = 15*c + 23*c - 266. Suppose -2*s - 1 = 5*i, -60*i + 62*i = -3*s - c. Which is bigger: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 95.70000529 + -95.7. Round o to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 + 8*t**2 + 7*t + 10. Give m(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, 2, -0.4, -0.1, -619, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -267, -269, -271, -273?\n\"Answer: -2*s - 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 4*v**2 + 2*v**2 - 5*v**2. Let q(i) = 57*i**2. Let o(b) = -38*b**2. Let t(z) = 7*o(z) + 5*q(z). What is t(r(f))?\nAnswer: 19*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -d - 2. Suppose -2*x = d*x. Suppose -b + 7 = -x. What is the highest common factor of 14 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 11*o + 12. Let h be l(-11). Suppose 2*j - 6 = 2*c + 4*j, h = 5*c - 4*j. Solve v + c*v = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -2)\/(7 - 8). Is (b - -2)*(1461 + -2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/33*572\/(-26).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -8, 2, -0.1, 1\/10?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5609788, 5609772, 5609742, 5609692, 5609616, 5609508?\n\"Answer: -z**3 - z**2 - 6*z + 5609796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -14*y**3 + 3*y**2 + 8*y + 8. Let s(w) = 5*w**3 - w**2 - 3*w - 3. Calculate -3*d(r) - 8*s(r).\nAnswer: 2*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*n = -15*n + 1260. Solve -5*b = -n + 20 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151477*k - 149775*k + 301257*k.\nAnswer: 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**15)**(2\/139) assuming k is positive.\nAnswer: k**(30\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -1. Let u(c) = 2*c - 2. Let p be u(q). Suppose -b + 4*w - 5 = 13, b + 8 = p*w. Solve -2*z = b*h + 20, h - 10 = -2*z + 5*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*j**4 + 4*j**4 - 2*j**4 + (-3*j + j + 3*j)*(0*j**3 + j**3 - 2*j**3) + (j + j - j)*(2*j**3 - j**3 + 0*j**3) - j**4 - 2*j**4 + j**4 + 1 - 1 - j**4.\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -40895, -327207, -1104343, -2617715, -5112735, -8834815, -14029367, -20941803?\n\"Answer: -40902*y**3 + 2*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33434 (base 7) to base 15.\nAnswer: -2788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*v - 26*v + 858176 + 1735744 = 0. Is 14 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (19 + 7 + 23 - 22).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13754018 divided by 2?\nAnswer: -6877009","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.74 - -8. Round i to one decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*y + 4*n, n + 15 = -5*y + 2*n. Which is the second biggest value? (a) -15 (b) y (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 430, 206, -402, -1586, -3538, -6450, -10514?\nAnswer: -15922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of 5*s**3\/3 + 2. Let v(f) be the third derivative of 16*f**2 + 0 + 0*f**3 + 0*f - 1\/12*f**4. What is k(v(r))?\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -8427*w**3\/2 - 34344*w**2 - 69984*w = 0.\nAnswer: -216\/53, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.3, -1.3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a - 150 + 54. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -3*g**2 - 1\/300*g**6 + 0*g**4 + 0*g + 0*g**3 + 1\/50*g**5 + 7. Suppose c(j) = 0. What is j?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 12*m**2 - 47*m - 46. What is the remainder when ((-141)\/4)\/(3\/(-12)) is divided by y(-1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4\/5 - 20983*m**3\/5 + 62994*m**2.\nAnswer: -m**2*(m - 15)*(m + 20998)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/37 or -1225?\nAnswer: -1225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x - 13*x + 4. Which is the smallest value? (a) -2 (b) -0.4 (c) -0.2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 337*t + 6013 + 1325 = -8501 for t.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -1.1, 4, -1204405 in increasing order.\nAnswer: -1204405, -1.1, -2\/19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 135\/16769?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-118)\/(-177))\/(16\/12 + -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 9:04 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5715746 to the nearest integer?\nAnswer: 2391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 5*m**2 - 10*m + 6. Suppose 5*q = -5*p + 40, 4*q = p - 20 + 17. Give g(p).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 6*3*((sqrt(288) + -1)*6 + 4) + -1)**2 + -4.\nAnswer: -103680*sqrt(2) + 3360828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43081*n*o**3*x + n*o**2 - 2*n*x**3 + 79153*o**3*x**3 - x**3 wrt n.\nAnswer: 43081*o**3*x + o**2 - 2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2, -4\/5, -112, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = 8*m - 11*m. What is the remainder when m is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4 - 5)*(35 - 2 + 45)*(3*o - 4*o - o) to the form l*o + d and give l.\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*t**2 + t**2 + 107 - 88 in the form j + c*t + s*t**2 and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 7*r**2 - r - 3. Let d be k(-7). Suppose -2*a + 29 = d*g + a, a = g - 2. Calculate the lowest common multiple of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7458 and 200688?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*p = 35, 0 = -2*f - 2*f + 4*p. Let z be 5\/15*f*3. Let l(b) = -b**2 - 7*b. List the prime factors of l(z).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v**2 - 7. What is the units digit of f(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32 - 4?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 37646.19934 rounded to the nearest 10?\nAnswer: 37650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:43 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o**2 + 256*o - 2319. Determine c(9).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -9 = -18181860?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1457 and 92465591.\nAnswer: 1457","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6853 + -6765. Sort 1, -5, p, 5, -2 in descending order.\nAnswer: p, 5, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.4 - -11.4. Which is the third biggest value? (a) -2 (b) n (c) 2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)*-2*-3)\/sqrt(10)*3.\nAnswer: 18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.072 minus 130.62?\nAnswer: -130.548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/153 and 46\/6511.\nAnswer: 58599","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.034 in 4\/7, 0.01, -6?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 0*l**2 + l - 1\/2*l**3 + 6. Let o(f) be the first derivative of u(f). Let h(s) = -s. Give h(o(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2393*s**4 - 312*s**4 - 339 - 435*s**4 wrt s.\nAnswer: 6584*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mggmmmm?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 22, 57, 106, 169?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 h when three letters picked without replacement from {s: 2, h: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*s**5 - s**2 - s**2 - 5*s**2 + 18*s + 4*s**2 + 2*s**3 wrt s.\nAnswer: -120*s**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8 + 129 - k**2 + 8*k + 0*k + k. Let o be s(-7). Let c = 2 - -3. Solve -c*l + 2*l + o = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2210, -4418, -6620, -8810, -10982, -13130, -15248, -17330?\nAnswer: -19370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 77?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5370895901.\nAnswer: 7, 17, 41, 1009, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3*r + 28 = 0, 2*m = -0*m + 5*r - 4. Calculate the smallest common multiple of m and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 4*o + 10, i = -2*o + 6. Suppose x - 348 = -i*x. What is x rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2. Let v(o) = 5941*o**2. Determine v(f(p)).\nAnswer: 53469*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 1\/12*a**4 + 0*a**2 + 1 + 0*a**3 - a. Let s(d) be the first derivative of g(d). Let z(k) = -2*k. Determine s(z(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 174 and 2504652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803*o = 26666 + 4651 for o.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 735, 1\/36?\nAnswer: 735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -221301 - -20?\nAnswer: -221221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 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: Sort -9, 1.827, -0.05.\nAnswer: -9, -0.05, 1.827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1. Let i(w) = -2*w**2 + 24*w - 4. Let y(q) = i(q) - 6*z(q). Find the first derivative of y(v) wrt v.\nAnswer: -4*v + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 8:29 PM?\nAnswer: 247","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 284850043 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/15, -2, 92184.9?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -7 - 1. Find the third derivative of 13*l**p + 8*l**2 - 20*l**2 + 2*l**3 wrt l.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 170)\/(6\/(-684)). Let r = t - 10194. What is r rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/i*i*i)**(-1\/7)\/(i**21\/i*i**(-5)) assuming i is positive.\nAnswer: i**(-109\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**2 - 60*i**3 + 56*i**3 + 3*i**2.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17267*b**5 - 3800*b?\nAnswer: -345340*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11888? (a) -1 (b) -2.6 (c) -2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*(-241 + 514 - 117)*(3*j - j - 2 + 3) to the form d + m*j and give d.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72571*x - 149675*x + 77091*x.\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6bdb + -3?\nAnswer: -6c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 39, -104565\/8, 0, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-1 - (-5)\/3). Let p be (-161)\/(-42) + f\/(-12). Suppose -126*r + 1632 = -92*r. What is the greatest common factor of p and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 2. Let f be g(5). Let y be (-2)\/2 + (-4 - -10). Suppose -u = -4*d + 3, 5*d + y = -u + 2. Solve f*n + n = d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(-26)*(-16)\/(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 13, -11, 0.336?\nAnswer: 0.336","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 6*c**2 + 3*c - 14. Let u be o(6). Factor -6*h + 21*h**3 + 22*h**u - 13*h**4 - 6*h.\nAnswer: 3*h*(h + 1)*(h + 2)*(3*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 13. Let j be (3\/3)\/(s\/68). What is the greatest common divisor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -857 - -860. Solve 3*y + 2 = h, h - p*h + 3*y + 1 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11656863779 rounded to the nearest 1000000?\nAnswer: 11657000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t**(6\/13)*t**(8\/3))\/(t**(-1)*t**(-2\/27)) assuming t is positive.\nAnswer: t**(2528\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-3\/5)\/n))\/((n*n**0\/n*n)\/n))\/((n*n\/n**(-1\/5))\/(n*(n**3*n)\/n*n)))\/((n*n*n**(1\/4)\/n)**(-21)*(n\/(n\/n**4))\/n**(4\/9)) assuming n is positive.\nAnswer: n**(5057\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 159*z**3 + 4. Let x(f) = -8587*f**3 - 217. Give -217*c(a) - 4*x(a).\nAnswer: -155*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 25.22606 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 11:28 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 33\/5 of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 3*a**2. Let r(z) be the third derivative of -5*z**4\/24 + 13*z**2. What is r(u(t))?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3025116 and 156060?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 + 6)\/(-2) + 6. Suppose -w + 1 = -a, 5*w = -d*a + 3*w + 2. Sort 4, -3, a, 2 in increasing order.\nAnswer: -3, a, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 5. Suppose 3*x = 8*x. Let a be o(x). Suppose -5*u**5 + 3*u**5 + 4*u**2 + 18*u**a + 36*u**4 + 24*u**3 = 0. What is u?\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g**2 + 119*g + 31. Let r(s) = 21*s**2 + 179*s + 43. What is 7*f(n) - 5*r(n)?\nAnswer: -7*n**2 - 62*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4784557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -560? (a) 0 (b) -3 (c) -0.29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 3 = -i, q + 3 = -2*i + 2. Calculate the least common multiple of i and 24\/3 - (-8 + 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 5:02 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 1 + (1 + 4 - 3)*(1 - 4 + 5) - 2 - 3 + 2 - 1 + 4 - 4)*(2 - 2 + 22*u) as t*u + r and give t.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 4*u - 5. Suppose 0 = 13*i + 5*i - 90. Let h be i - (8 - (-14)\/(-2)). Sort -4, h, -2, u in descending order.\nAnswer: u, h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/4 + -3 + (-820)\/(-16) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 8:07 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 575498 = -4261*p + 14449*p - 341422 for p.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2625 - -4649. Suppose 4*p = -4*p + i. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131 (base 5) to base 16\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -11*b + 16. Suppose -b*h = m - 782, 3*m = -2*h + m + 388. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43685?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 0*p + 3*p**2)*(7*p + 3*p + 5*p).\nAnswer: 45*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2))**(5\/8)\/((d**0\/d)\/(d\/(d**(-4\/9)*d)))*(d**12\/(((d*d*d**2*d*d)\/d)\/d*d*d))**(-8\/9) assuming d is positive.\nAnswer: d**(-185\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1980 = 17*h + 297. Find the third derivative of 9*c**6 - 2*c**2 + 133*c**5 - h*c**5 - 12*c**6 + 27 wrt c.\nAnswer: -360*c**3 + 2040*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 291 + 3.318\nAnswer: 294.318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 360 + 402970?\nAnswer: 403330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150 + -253?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6.18 times -4\nAnswer: -24.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.064 + 0.036. Let y(i) = i**3 - i**2 - i - 5. Let g be y(0). Let u be ((-3)\/g)\/(6\/36). Is u >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 3*l + 2. Let j be q(-2). Suppose 3*z + 7 = -2, 3*g + j*z = -6. Factor m**3 - 2*m**3 + 4*m - 3*m**3 + g*m**4 - 2.\nAnswer: 2*(m - 1)**3*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4572833 to the nearest 100000.\nAnswer: 4600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**2 - w**2 - 12*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -15*v. Let a(l) be the third derivative of -l**4\/24 - 8*l**2. What is p(a(x))?\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -4*i, 5*i - 8*i + c = 1. Calculate the remainder when 105 is divided by ((9*-1)\/i)\/((-270)\/540).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22414 by 7.\nAnswer: 3202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4402097?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.058 - -0.057959. What is d rounded to 5 dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 7:09 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -304, -371, -554, -913, -1508?\nAnswer: -2399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 88 and 396.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 6521341543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 4 - (-30 - -47).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -292*s**4\/3 - 2048*s**3\/3 - 4700*s**2\/3 - 3568*s\/3 - 16 = 0.\nAnswer: -3, -2, -1\/73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b + b + b - 3 - 2*b + 3 + (-3 + 1 + 0)*(2*b + 3*b - 4*b) + 6*b - 2*b - 6*b - b + 1 - 1 + (2 + 14 - 5)*(850 - 850 - 99*b).\nAnswer: -1097*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 + -37. Find the second derivative of -15*o + f*o**2 + 5*o**2 + o**2 wrt o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 2*c - 6. Let b be p(4). Let k(o) = 5*o + 1. Let q be k(b). Suppose q*r - 6*r = 90. Calculate the smallest common multiple of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*j**4 - 4*j**3*v - j**2*p**2 + 281*j*p - 2*p**2*v - p**2 wrt j?\nAnswer: 60*j**2 - 24*j*v - 2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -11, -56, 16, -9, -1 in descending order.\nAnswer: 16, 0, -1, -5, -9, -11, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k. Let q(d) be the first derivative of -5\/2*d**2 + 0*d + 6. What is q(b(a))?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*o + 3930 + 3885 = -12480 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1951 to the power of 1\/2, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 103061 (base 8) in base 7?\nAnswer: 202104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -4 + 8 + (-45)\/5 + 402 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of -d**3\/3 + 5*d**2\/2 + 8*d + 6. What is p(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-10) + (-49999998)\/(-5). Suppose -3*w = w + u. Round w to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 10 + k**3 + 2*k**2 - k**2 - 6. Let q(u) = -2*u**3 - 2*u**2 - 5. Suppose 6 = 4*j - 2*j. Calculate j*q(b) + 4*o(b).\nAnswer: -2*b**3 - 2*b**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**8\/56 - t**6\/40 + t**5\/30 + 5*t**4\/12 + 54*t**2. Find the third derivative of b(w) wrt w.\nAnswer: -360*w**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -3*f + f**2 + 115 - 55 - 58 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.046 - -0.046. Let l = 2 + -2. Which is the closest to y? (a) -0.1 (b) l (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13253062993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*r**3 - 5746*r**2 + 115*r**3 - 42*r**3.\nAnswer: r**3 - 5746*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8399662*l**3 + 16799294*l**3 - 8399641*l**3.\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -13*(-1 - -2)*-1. Let m(d) = d - 3 + 0 + t*d + 2. Is m(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/2 + 493*g**3\/2 - 33065*g**2\/2 + 574991*g\/2 - 510825 = 0. What is g?\nAnswer: 2, 25, 49, 417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 3505886844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 929.9794 centimeters?\nAnswer: 9.299794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28091 and 1923629.858.\nAnswer: 1951720.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -100 (base 8) to base 13\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7663 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 10) in base 5?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1405, 1393, 1361, 1303, 1213, 1085?\n\"Answer: -g**3 - 4*g**2 + 7*g + 1403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21213542*x**2 + 378668175 wrt x?\nAnswer: 42427084*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2736796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) 39 (c) -2\/85 (d) 136 (e) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8138868401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 131, -1232, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*i - i + l, 32 = 4*i + 4*l. Suppose -11 - 4 = -i*k. Differentiate 3*v**k - 1 - 1 + 1 wrt v.\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dvmwmwmwvwwx. Give prob of picking 1 d and 2 m.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21621187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24381?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18642 + -279494\/15. Let i = 26\/3 - x. What is the second smallest value in 16, 1\/12, i?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 (base 16) in base 2?\nAnswer: 101100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*(l\/l**(-1\/5)*l)\/l)**35\/((l**25\/l)\/(l*l**(-20))) assuming l is positive.\nAnswer: l**34","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is e5b (base 15) in base 5?\nAnswer: 100421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*f + 18*f. Suppose f = -13*q - 13*q - 38090. What is q rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 8:56 AM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**6\/120 - 13*n**5\/60 + 13*n**4\/24 - 19*n**3\/6 + 19*n**2. Let i be o(-14). Put -2\/3, -2, i, 6 in increasing order.\nAnswer: i, -2, -2\/3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 22 + 1466?\nAnswer: 1488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11715405 is divided by 983.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4624989, -9249978, -13874967, -18499956?\n\"Answer: -4624989*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-5*9\/(-30))\/(2 + -1) and ((-56)\/(-12))\/2 - -2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*v - 52, 4*j - 40 = -5*v + 4. Calculate the least common multiple of 54 and v.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3138509686 and -0.2.\nAnswer: -3138509686.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245 = -3386*m + 3435*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 69*o**2 + 124*o**2 + o**3 + o - 56*o**2 to the form n + z*o**2 + x*o + j*o**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 364 = 3*f, 0*z + z - 78 = 2*f. What are the prime factors of z?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -20*j + 283. Let q be o(14). Let g(y) be the first derivative of 5\/3*y**3 - q + 0*y**2 + y. Differentiate g(d) with respect to d.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r*r\/(r**(2\/11)\/r))*r**(8\/3)\/r*((r*((r\/r**8)\/r)\/r)\/r)**23 assuming r is positive.\nAnswer: r**(-6836\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 8 + 4*(-17)\/(-2). Find v such that 10*v + 0*v**2 + 8*v + 9*v**2 - j - 11*v**2 = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 - 246*x**2 + 7686*x - 7442.\nAnswer: 2*(x - 61)**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l + 44 - 104. Suppose -4*z - l*z = -126. Sort z, -3\/7, 0.4 in decreasing order.\nAnswer: z, 0.4, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in p**3\/3 + 8684*p**2\/3 + 1221505*p\/3 + 404274 = 0?\nAnswer: -8541, -142, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32870?\nAnswer: 2, 5, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 352 and 2045536?\nAnswer: 22500896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**3*u - 33*d**3 - 3*u*v + 58*u + 22*v wrt u.\nAnswer: -2*d**3 - 3*v + 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3 - 2 - 1 - 3 - 2*p. Let t be j(-6). Let g = t - 1. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 476 and 4942.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2))**(-42)*(o*o\/o**(3\/7))\/o**(-4) assuming o is positive.\nAnswer: o**(333\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.7025003 micrometers?\nAnswer: 702.5003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24840)\/966)\/((-4)\/(-14)).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 107433?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2100\/13 (b) -2.2 (c) 4 (d) -114\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/13)\/i**(1\/8))\/(i**(-4\/3))**(6\/19) assuming i is positive.\nAnswer: i**(281\/1976)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 245.118398 rounded to one dp?\nAnswer: 245.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*d - 468*d - 15*d**2 + 17*d**2 + 238*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0*w + 18*w = 4*w - 566, -4*w = 2*s + 166 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.4 = -4552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 20. Let b be p(-15). Let r be ((-2)\/((-10)\/b))\/((-4)\/98). Factor 7*l + 1\/2*l**2 + r.\nAnswer: (l + 7)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -489, -975, -1461, -1947, -2433, -2919?\n\"Answer: -486*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521086 is divided by 388?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 77 = h - 96, 5*x = 5*h - 55. What is the highest common divisor of h and 29628?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -124*g**2 + 506*g - 13. Let r be v(4). Let q(z) = 22*z - 597. Determine q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/6*(-8)\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4011)\/15 + 18\/(-30). Calculate the remainder when 2\/8 + (-13601)\/b is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 15, 252, 885, 2088?\nAnswer: 4035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.93941639 to three decimal places.\nAnswer: -9.939","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*s = 50, 7*b - 2*s - 111 = 2*b. Let o(n) = -41*n - 1. Let m be o(-1). Suppose -m - b = -3*u. What are the prime factors of u?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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: Factor -4*y**3 - 4*y**2 + 36*y + 36.\nAnswer: -4*(y - 3)*(y + 1)*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5 + 0. Let b be (-462)\/637 + (-8)\/(-14). Put s, -2\/7, 0.3, b in decreasing order.\nAnswer: s, 0.3, b, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-1\/3))\/j)**(-14))**(-7\/4)\/((j**(-1)*j)**(-20\/7))**(-48) assuming j is positive.\nAnswer: j**(49\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -1, 6, 17, 32, 51, 74?\n\"Answer: 2*j**2 - 3*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 117*s. Let d(v) = 116*v. Calculate 7*d(p) - 6*q(p).\nAnswer: 110*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*q + 44*q - 17 = -3*r, -2*q = 3*r - 37 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.247 times 11.3?\nAnswer: 2.7911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from kvkscv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/843507 and 65\/120501.\nAnswer: 843507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -31744 > -31746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o - 9. Let a be m(6). Let x = -469 + 468. What is the nearest to x in a, 1\/5, 1\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 0.4, -2\/9, 0.8 in increasing order.\nAnswer: -2\/9, 0, 0.4, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8*g + 256. Give s(-32).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12001477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175150 (base 12) to base 6.\nAnswer: 12344540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:00 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 91859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 3:23 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23575817 is divided by 1979?\nAnswer: 1969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/20 - 235*r**4\/8 + 117*r**3 - 386*r**2. Factor l(j).\nAnswer: 3*(j - 234)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/((-39)\/(-18)) + -6. Let n be v - (-3 - (5 - -40)). Solve -n = -5*l - 28 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 22 = -4*h + 6, 2*y = 5*h - 38 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2145923 divided by -7177?\nAnswer: 299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 7 + 4 + -5 + -5?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of g**4\/3 - 11*g**3\/6 - 17*g**2\/2 + 30*g. Does 29 divide l(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-14)*1\/2. Let g be (-4)\/(-6)*(-18 + 21). Is n not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 121\/(-8)*-2 + (-108)\/432. Calculate the greatest common factor of i and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -38, -45, -52, -59, -66?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pzllllp. Give prob of picking 1 z and 3 l.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22627*j**2 + 819 - j**3 - 819 - 2*j.\nAnswer: -j**3 - 22627*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38091637?\nAnswer: 19, 105517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = -34*u + 33737. What is the least common multiple of u and 138?\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 1601*z**5\/20 + 378*z**2 + 4232*z. Find the first derivative of f(d) wrt d.\nAnswer: 4803*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*c**2 - 262 + 262 + (3 + 3 - 5)*(c**2 - 3*c**2 + 4*c**2) + (0*c**2 + 3*c**2 - 4*c**2)*(4 - 3 - 2) to the form s + a*c**2 + g*c and give a.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v**2 + v - 4. What is the tens digit of p(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 436, 429, 422, 415, 408, 401?\nAnswer: 394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 - 64*w - 698. Determine f(-15).\nAnswer: 1387","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -6)*(-2)\/(-4). Put -4, f, 0 in decreasing order.\nAnswer: f, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250976.603 rounded to the nearest one hundred?\nAnswer: 1251000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, -86, -22, -27, 2, 3 in descending order.\nAnswer: 3, 2, -3, -4, -22, -27, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3359878646 + 830\nAnswer: -3359877816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.6 - -2.3. Let g be (-1)\/3 + 13\/3. What is the second smallest value in 0.2, g, j?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*-2*(-4)\/(-272)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 6 + 1 + 14*v - 19*v + 5 + 7*v. Calculate d(7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gf when two letters picked without replacement from yxxgxyifeiieiyyye.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33867, -33859, -33851, -33843, -33835?\nAnswer: -33827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -38*g**3 + 6*g + 6. Let h(o) = 37*o**3 - 5*o - 5. What is 5*f(c) + 6*h(c)?\nAnswer: 32*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2852038, 2852024, 2852036, 2852086, 2852186?\nAnswer: 2852348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33882503 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -5*b - 5*t + 5, 4*t = 4*b. Suppose 15 = -b*g + 31. Let n(k) = -k**2 + 3*k + 5. What is n(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2013231 (base 5) in base 16?\nAnswer: -7e3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 - f**2 + 0*f**2)*(-6 + 2 + 1)*(1 + 1 + 3) in the form h + s*f + l*f**2 and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, 70 in descending order.\nAnswer: 70, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -74.1 times -0.166\nAnswer: 12.3006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333 - -371. Let c be 38 + 0 - (0 + 2). Let z = c - a. What is the closest to -0.1 in z, -0.1, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42 and -398751?\nAnswer: 398709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/n**(-5\/3))**(-27) assuming n is positive.\nAnswer: n**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 + 9*t + 258. Let m be p(21). Solve m*g - 2*g = -12 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 203993657 or 611980972\/3?\nAnswer: 611980972\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(168)\/sqrt(6) - sqrt(7)) + sqrt(7))*6)**2*-2 + (-3*(sqrt(28)\/sqrt(4) + sqrt(7)) - (sqrt(7) + sqrt(56)\/sqrt(8)*-5)).\nAnswer: -2016 - 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 15 = -0*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34252 + -5 - 4)\/(-1). Suppose -2*w + 4 = 0, -4*y + 2*w + 22367 = -l. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - d - 9 = 13*h, h - 3*d = -5 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -111969, -223943, -335917, -447891, -559865, -671839?\n\"Answer: -111974*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 33945?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 3*t + 9. Let p(r) = 91*r**2 + 8*r - 4. Let q(x) = 22*x**2 + 2*x - 1. Let o(y) = -p(y) + 4*q(y). Calculate o(a(h)).\nAnswer: -27*h**2 - 162*h - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -7*k**3 - k**2 + k - 1. Let y be d(1). Let o be 2*(2 - (-4)\/y). Suppose 2*z - 5 + 3 = 0. Is o less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28842 divided by 2?\nAnswer: 14421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -12*h + 9. Let s be b(8). Let y = s + 172. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 45*f**2 + 87*f - 95. Let h(y) = 16*y**2 + 29*y - 31. Give 6*a(z) - 17*h(z).\nAnswer: -2*z**2 + 29*z - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -12*r + 172. Give b(18).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3765245 litres to millilitres.\nAnswer: 376.5245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531 and 61659.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.1759? (a) 3 (b) -11 (c) -1\/84 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0153*3576\nAnswer: 54.7128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 5*g**2 - g**2 + 524*g - 534*g. Let q(j) = -j**2. Determine b(q(i)).\nAnswer: -3*i**4 + 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*n**5 - 2*n**2 + 3*n**2 + 22*n**5 - n**5 + 3*n**5 - n**5 - n + 2*n**5 + n + (-2*n + 2*n - 2*n)*(-4*n**2 - 2*n**4 + 4*n**2).\nAnswer: 6*n**5 + n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-1)\/5)*8\/(-60)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-5)\/((-20)\/(-24)). Find the second derivative of -5*b**2 + t*b**2 - 6*b**2 + 3*b**2 - 7*b wrt b.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a**8*a)\/a))\/(a\/(a\/a**22)))\/(((a**2*a*a)\/a)\/a)**(16\/5) assuming a is positive.\nAnswer: a**(-177\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4271038007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7626.06 millennia?\nAnswer: 91512720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26 + -15. Calculate the smallest common multiple of 12 and j.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1523?\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -180129, -1440762, -4862499, -11525892, -22511493?\nAnswer: -38899854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3902*r**2 - 23422*r - 8. Determine g(-6).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.203 from -10228.\nAnswer: -10228.203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 + 52. Let c = -666 - -678. What is the remainder when z is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*y - 43 = 3*q, 13 = -4*q + 3*y. Let s(m) = -m**2 - 7*m + 4. Calculate s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 397 - 387. Suppose 5*t = -5*u - m, 2*t - 3*u - 20 = 1. Sort t, 7, -5, 2 in descending order.\nAnswer: 7, t, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g**2 - 10. Let c(l) = 6*l**2 - l + 9 - 7 + 27. Let p(b) = -6*c(b) - 17*f(b). Suppose p(h) = 0. What is h?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttutttttuu. Give prob of picking 4 t.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/180*3*(18\/(-8))\/((-3864)\/(-112))?\nAnswer: 5\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j = -11*j - 540. What is the smallest common multiple of j and 72?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**4\/(u\/(u\/(u*u**(3\/5)*u)*u)))**(-2\/13))**(-30) assuming u is positive.\nAnswer: u**(144\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = -5*g + 60, -231*g + 229*g - j = -15 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do 5326 and 5204 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1824 and 2812?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3695889 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8911676?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -28829 divided by -227\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let f be n(3). Suppose -2*r - r = -f. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**3 + 0*s**2 + 0*s**2)*(25*s + 42*s + 11 - 64*s) as x*s**4 + q*s**3 + g*s**2 + n + h*s and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -5. Let d be 102\/(-33)*2 + (27 + 135)\/27. What is the second smallest value in 30, c, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/19)\/(t**(-8\/3)*t)*(t**5*t*t)\/(t*t**0) assuming t is positive.\nAnswer: t**(431\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 + 68. Is 483\/(-14)*k\/(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 8, h: 3}. What is prob of picking 2 h and 1 p?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/12*21)\/(85211\/(-2632))\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16487, -16466, -16411, -16304, -16127, -15862, -15491, -14996?\nAnswer: -14359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -40, -56, -70, -82?\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does -144922 = -144920?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25\/47 - 2519\/4559. Let i = o + 212\/873. What is v in 0 + 2\/9*v - i*v**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + r + 3. Let v be y(0). Suppose -v*j = -3*k - 6*j + 3567, -3*j + 5945 = 5*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 70189.902ms in days?\nAnswer: 0.000812383125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.009 + -0.299. Let a = -0.31 + l. Let b = 2 - a. Which is bigger: b or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3831 is divided by 1501.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48 and -36\/17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 204 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -1050?\nAnswer: -1050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -935281*v**2 + 5*v + 47090 wrt v.\nAnswer: -1870562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223312 (base 4) to base 12.\nAnswer: 175a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33155829?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -126 - -126. Solve b = -3*f + f + w - 3, -5*w = 5*f - 15 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, 22, 71, 140, 229?\nAnswer: 338","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*c - 146, -16*k + 3*c = -11*k + 244. Let q(i) = -i**2 - 48*i + 133. What is the remainder when 197 is divided by q(k)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19416.\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 363.022 centuries?\nAnswer: 435626.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 18\/6 + (-1118)\/(-138) + (-1)\/(-3).\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 80264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 1\/9 (c) 3\/2 (d) -3 (e) -76 (f) -2\/109 (g) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 263160284 to the nearest integer?\nAnswer: 16222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.3448 milligrams to micrograms.\nAnswer: 54344.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - (-366)\/(-18))*(-18)\/6. Suppose -2*o + q = 4*h, -79 = -4*h - 4*o - 15. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/5*(-100)\/(-6). Let c = 23 + r. What is the nearest to -2\/3 in 1\/6, 0.2, c?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45606.47792 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1140.656cm to meters.\nAnswer: 11.40656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*n**2 - 93589798*n + 20797732.\nAnswer: 2*(n - 5199433)*(9*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 756\/85 and -130 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (26679\/(-44465))\/((14\/15)\/2)?\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 11776, 23551, 35326, 47101, 58876, 70651?\n\"Answer: 11775*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3240 and 2945538.\nAnswer: 176732280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 10076?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 95849 and -0.7.\nAnswer: -67094.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 218 - 233. Is (18\/c)\/(14\/(-36155)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b + b + 10 - 2 - 11. Let f(d) = -15*d - 25. What is -3*f(t) + 25*l(t)?\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4474 - 4472. Which is the nearest to 2? (a) -3 (b) o (c) -2 (d) 25\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 8*u**2 + 13*u + 22. Let m be x(-2). Let p be m\/(-616)*(-1 + 5). Which is the third smallest value? (a) -2 (b) p (c) 2\/3 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqfqf. What is prob of sequence qf?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are 5746 and 5745 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 6194811.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 1:39 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -188253563\/630 - -298815. Find the common denominator of x and -121\/30.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02148916928 rounded to four decimal places?\nAnswer: 0.0215","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5*(sqrt(11) - sqrt(176))**2 + (0 + sqrt(11) + sqrt(11) + -1)**2.\nAnswer: -4*sqrt(11) + 544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -764 - -761. Which is the third biggest value? (a) u (b) -20 (c) 0.4 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 8. Let n be t(-6). Suppose n*o - 2*o = 8. Suppose -4*r + r + d = o, 5*r + 14 = -2*d. Is r >= -11\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/19? (a) 4 (b) -43 (c) 18.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97\/8, -3\/4, -18\/11, 2\/7, 0.13 in increasing order.\nAnswer: -18\/11, -3\/4, 0.13, 2\/7, 97\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 * 1.06\nAnswer: 0.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -678\nAnswer: -5\/678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-12)*6\/(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 182*a*d*t**3 - 10*a*d + 869*a*n*t - d*n*t**3 - 4*d*n*t - 734*n*t - 3*t**3 wrt a?\nAnswer: 182*d*t**3 - 10*d + 869*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 2:00 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(11))**2*2*-2.\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 11:53 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from xxxuuuuuuxuxx?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 41105 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -560 - -819. What is the highest common factor of i and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7796204 divided by -13\nAnswer: 599708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -2*r**2 - 15*r - 21. Let x be o(-2). Put -4, 4, -275, x in descending order.\nAnswer: 4, x, -4, -275","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -10. Let g be -3*4\/(-30) + 128\/80. Suppose -h - x = 4*h - 36, -g*x + 23 = 3*h. Are d and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(110) - -4*sqrt(110)*1)\/((sqrt(1440) + -2*sqrt(1440))*-5 - sqrt(1440))*5.\nAnswer: -5*sqrt(11)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3*264\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - 2111?\nAnswer: -2121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49534000 rounded to the nearest 100000?\nAnswer: 49500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 1\/6, 35?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*f*p**3 - 413818*f*p**2 - 132*f + 983 wrt p.\nAnswer: -12*f*p**2 - 827636*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34061*w - 33984*w + 7854 = 0 for w.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15482*m - 502920 = 10402*m for m.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + (sqrt(324)\/(sqrt(9) - 2*sqrt(9) - sqrt(9)) - sqrt(36))\/(-1*(sqrt(12) + sqrt(24)\/sqrt(2) + sqrt(12) - sqrt(12)))))**2.\nAnswer: -24*sqrt(3) + 43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4224437\/33068 - ((-124)\/(-16) - 0)?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 5*f - 13, 0*u = -2*f - 3*u - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 408.5 + -408. Which is the second biggest value? (a) 8 (b) u (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 77284*w**2 - 711280792*w + 1636562435524 = 0. What is w?\nAnswer: 639641\/139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -43 >= -1414\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5 = 2*j - 8, -14 = -2*j + 4*z. Sort -1, 6, j in descending order.\nAnswer: 6, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(650)*1 - sqrt(26))\/sqrt(2) + ((sqrt(65)*1*-4 + sqrt(65) + sqrt(65))\/sqrt(5))**2.\nAnswer: 4*sqrt(13) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 23034*d + 4577*d + 2 + 2499*d.\nAnswer: 30110*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + j. Let y be (-14)\/(0 + -2) + -2. Let p = y + j. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + i**2 + i**3)*(-i**2 + 3 - 4*i + 4*i) - 4*i**5 + 3*i**2 - 3*i**2.\nAnswer: -5*i**5 + 3*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67606870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 24195933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4 - 1)*(-946*z - 53*z - 303*z).\nAnswer: -1302*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0, 28, 0.1, -3\/5 in decreasing order.\nAnswer: 28, 0.1, 0, -1\/2, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 42*z**2 - 437*z - 1142. Give x(51).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 124+7107.594823\nAnswer: 7231.594823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1*-7 + 264759 + -285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-9\/5)\/q)\/(q*q\/((q\/(q**(-1\/11)*q))\/q*q)))**(-28\/3) assuming q is positive.\nAnswer: q**(7252\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*g = 19*g + 100 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1769*f**2 - 58*f - 39. Let n(o) = 177*o**2 + 6*o + 4. Give -6*d(w) - 58*n(w).\nAnswer: 348*w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, v: 1, g: 1}. Give prob of picking 1 g and 1 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 27*j**2 - 3*j**2 + 90*j**2 - 10*j**2. Let h(o) = o. Calculate d(h(x)).\nAnswer: 104*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*y + 24*y + 10*y + 3 - 3 - 2*y + 3*y - 2*y - 2*y + (2 + 2 - 2)*(-2*y + 0*y + y) + 0 - y + 0 + 2 - y - 2 + (0*y + y + y)*(2 + 2 - 2).\nAnswer: 43*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y - 3. Let z = -29 + 7. Let a(j) = -5*j + 16. Let x(p) = z*c(p) - 4*a(p). List the prime factors of x(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 4:42 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 46*u**2 + 460*u + 1378. Give a(21).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2 = 3*d - 5, -4*f + 2*d + 6 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:40 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 = -2*c + 157. Let u = c + -103. Solve 0 = -4*m - 12, m - 2*m = u*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55456?\nAnswer: 2, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 46430784 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**3 + 380*k**2 - 646*k + 260.\nAnswer: 2*(k - 1)*(k + 65)*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 106 (b) -13 (c) -0.05 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 80.5645 to 1 decimal place.\nAnswer: 80.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(110)*-6 + sqrt(110) + (sqrt(110) - 6*sqrt(110)*3))\/(sqrt(80)\/(sqrt(648)*2 + sqrt(648))*1))**2.\nAnswer: 9269964","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y\/y**6*y\/(y**(-3)*y)*(y**0\/y)**32 assuming y is positive.\nAnswer: y**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3627)\/2418*(1264\/3)\/8?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l + 230. Let o be r(-44). What is the highest common factor of 49 and o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 376\/(-5) + 5\/(-125)*-5. Let o = -70 - d. Suppose 0 = -3*u + c + 131, -4*u + 68 = o*c - 94. Does 12 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/3 - 895960*b\/3 + 200686080400\/3.\nAnswer: (b - 447980)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 156, 327, 530, 789, 1128, 1571, 2142?\nAnswer: 2865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 653558 + -361041. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - 5*r - 59. Calculate f(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 2 - 1\/6*x**3 - 18*x + 0*x**2. Let w(c) = 34*c**2. Determine b(w(y)).\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-2116)\/(-6256)*(-4)\/(-46)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -208848 divided by -13053.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 954?\nAnswer: 6678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((189\/(-36))\/21)\/((-1)\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 1. What are the prime factors of m(4)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -121, 19728 in descending order.\nAnswer: 19728, 0, -2, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 - 7*o + 5. Let g be n(7). Let p(c) = -c**3 + 6*c**2 - 7*c + 12. Let i be p(g). Let t = 0 - -5. Solve 0 = -5*d, 2*d - 4 = i*y + t*d for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-20)\/(-16))\/(300*(-19)\/(-2736)). Let h = -3.1 - -3. Which is the closest to h? (a) 4 (b) y (c) 18\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11299, 11392, 11631, 12088, 12835, 13944?\nAnswer: 15487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 165, -123, 0, -5, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c90 - -2?\nAnswer: c92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - r = 3, h = -4*r - 1391 + 1394 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 2*j + 64, 4*f + 50 = -0*f - 2*j. Let u be 8\/(-28) + (-2244)\/f. Suppose 0 = -2*k - 2*k + 80. What is the highest common factor of u and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9264297 is divided by 94?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(1573)*-2*-4 - (-5*(sqrt(130)*2 - sqrt(130)) - sqrt(130))\/sqrt(10)))**2.\nAnswer: -752*sqrt(13) + 114884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -132*w**3 - 790*w**2 + 10*w - 8. Let f be x(-6). Factor -2\/3*h**3 - h**2 + 1\/3*h**f + 4\/3 + 4\/3*h.\nAnswer: (h - 2)**2*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/3 - 17\/(-3). Let f(o) = o + 5. Suppose -3*b = 3*q + 18, q = 4*b + 4*q + 20. Let n be f(b). Calculate the highest common divisor of n and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65399 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 105, 65, 9, -63?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k*r**3 - 150*k*r**2 + 3*r**3 wrt r.\nAnswer: 6*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4149331 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -150 - 286. Let u = 714 + q. List the prime factors of u.\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 9, -5.\nAnswer: -5, -1, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a - 8. Let n(b) = -3*b + 25. Let i(p) = -7*l(p) - 2*n(p). Let y = -5 + 8. Suppose 0 = -y*v - 4*u + 26, -27 = -5*v + 5*u - 7. Calculate i(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.24 - 14.76. Let i = y + 14.9. Which is the closest to i? (a) 2\/7 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0143426 take away 6995?\nAnswer: -6995.0143426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -206?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -499*w - 91 - 483*w + 1456*w - 60 - 496*w. Determine k(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 5*p - 5*p)*(-13*p**3 + 2*p + 0*p + 24*p**3).\nAnswer: 22*p**4 + 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes after 11:08 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 - -219. Let j = s - 188.6. Which is the second biggest value? (a) 0.3 (b) 5 (c) j (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -78, -171, -280, -411, -570?\n\"Answer: -x**3 - 2*x**2 - 80*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -1, 26?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 57318*z + 273779427.\nAnswer: 3*(z + 9553)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -321.137 - 593662657?\nAnswer: -593662978.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.089182 minus 7?\nAnswer: -6.910818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16694 - 10770 - 50683 + 14495 - 2*c**3.\nAnswer: -2*c**3 - 63652","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 4779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 + 96 = p, 3*p = -4*f + 262. What is the remainder when p is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6459601139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/63 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -30*s + 2. Calculate w(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - p = 2*p + 7, 0 = v + 5*p + 17. Suppose -4*n - v = 4. Let i be -1279998 + (n\/2 - 10\/20). Round i to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -610 = 61*u + 692 - 265 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 780 + -445. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145524020?\nAnswer: 2, 5, 2063, 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3 = -3*j + 9, 0 = -5*p. Suppose x - 4*g = -j*x + 34, 5*x - g = 46. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-4)\/36*-66. Solve -7 = -5*l - w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -2*q - 46, 8*q + 88 = 3*q - 4*l. What is the remainder when 52\/((-9)\/((-9)\/2)) is divided by q\/8*(-56)\/10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-5\/12)\/x**27 assuming x is positive.\nAnswer: x**(-329\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 504100*o**2\/9 + 5680*o\/9 + 16\/9.\nAnswer: 4*(355*o + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-10) - 5\/(-25). Let p be 0\/((-2 - -4) + -7). Let t = -113\/124 + 5\/31. Which is the closest to p? (a) u (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 5*f - 0*r - 4*r, 4*f - 3*r - 72 = 0. Suppose 53 = 2*b + f. Solve -2*a + 6*a - b = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 408.8, 0.3, 196\/11, 10, -1\/3 in descending order.\nAnswer: 408.8, 196\/11, 10, 0.3, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2, -2\/21, 1853?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 8*l**2 - 2*l - 16. Let t be o(-8). Solve t = 2*x - x + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((4\/(-10))\/2). Suppose 2*a - 2 = o*s - 19, 4*s + 2*a - 28 = 0. Let y = -378 - -378. Solve 0*f + f - s = y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 6)\/(4 - 3). Let u be j\/6 - (-2)\/3. Is -29*(u\/(-1) - 1) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i\/(i\/i**(-8)))\/i**(3\/4))\/(i**(-1\/5)*i)**(1\/14))**(-5\/7) assuming i is positive.\nAnswer: i**(1093\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 221?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02295883 rounded to 3 decimal places?\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 20*176\/(-768) - (1 - (-26)\/(-24)). Put 0.1, y, 1\/4, -1\/11, 0.2 in descending order.\nAnswer: 1\/4, 0.2, 0.1, -1\/11, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*k = 231, 2*k = -5*r - 0*k + 237. List the prime factors of r.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 80472 + 80467 + 80478 + j**2 - 241417.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52405?\nAnswer: 5, 47, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 990.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-122)\/2745)\/(-3 - 15\/(-6)))\/(20\/15)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/15 - (-814)\/(-30). Let n be ((-6)\/(-54))\/((-3)\/h). What is the greatest common divisor of n and 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -2\/9 (c) -2 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/3 + 2 + (-78)\/(-13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7460 > 7460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v**(1\/5)*v)\/v*v)\/(v*(v\/((v\/(v**(-8)*v))\/v))\/v))\/(((v**(-4)*v*v)\/v)\/v*v*v*v\/v**8))\/(v*v**(-14)*v*v**(8\/3))**3 assuming v is positive.\nAnswer: v**(226\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 343*i**5\/2 + 2205*i**4 + 1806*i**3 + 508*i**2 + 48*i = 0?\nAnswer: -12, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 6*d - 5. Suppose 0 = 3*v - 2*h - 8, -v + 3*v + 3*h = 14. Let q be x(v). Suppose 0 = -q*p + 1 + 2. Which is smaller: 0 or p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 6:59 AM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 6*u + 16 = 0. Solve u*i = 0, 5*w + 3*i - 2 + 12 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*l = -767 + 9, -5*l = -h - 176. Let o = h + 269. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -6.5. Let u(h) = h**3 - 4*h**2 + 4*h - 3. Suppose 1 = 2*z - 5. Let n be u(z). Which is the third smallest value? (a) 0.2 (b) k (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-6 + 5 + 6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - 3 - 603*u + 2*u**2 + 589*u. Let o be g(14). Let x = -24 + 17. Sort -2, o, x in descending order.\nAnswer: -2, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 6561*l**4\/2 - 486*l**3 + 27*l**2 - 2*l\/3 + 69. Find d such that j(d) = 0.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 12 = -4*t + 10, 2*i = -5*t + 26. Suppose -b = t*b - 855. Is 9 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b**2*x**3 + b**2*x + 201*b*x - 120*x**3 + 2*x wrt x.\nAnswer: -12*b**2*x - 720*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6899.2 - -6899. Let f = 0.2 - 0. Which is the closest to s? (a) f (b) 3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 100*q**2 + 314*q + 212.\nAnswer: -2*(q - 53)*(q + 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362 a factor of 2105261106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = -4*z + 90. Suppose -5*p - z = -5*i, -4*i = -0*p + 3*p - 11. Suppose 3*o = i*o + 86. What is o rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:22 PM and 5:38 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058 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: Collect the terms in 142*p**2 - 7 - 8362*p**2 + 182*p**2 + 117.\nAnswer: -8038*p**2 + 110","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -7. Is -13 greater than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(3\/9*3). Let g(a) = -a**3 + 9*a**2 - 8*a + 1. Let c be g(8). Solve -c = 3*j + d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 13750.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 124674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.0625*56.9.\nAnswer: -344.95625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(45)*1*-4 - sqrt(45)) + sqrt(45))\/(sqrt(1296) - (sqrt(1296)*2 + sqrt(1296))))**2*4.\nAnswer: -20*sqrt(5)\/3 + 905\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -26*t**2. Let o(d) = 820016*d**2. What is o(a(f))?\nAnswer: 554330816*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frbrrribrwwrwwxrw. What is prob of sequence br?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 613 + 447 + 615 - 29*b - 1675.\nAnswer: -29*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 930 divided by 155\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 0 + 2 - (-8 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {x: 1, t: 17}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 16) to base 14.\nAnswer: -437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146436181?\nAnswer: 17, 8613893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/(-2))\/(4*(-3)\/(-216)). Let n be (339\/4)\/((-5)\/80). Calculate the remainder when 3\/(3\/f - 488\/n) is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15839, 65111, 147825, 263987, 413603, 596679, 813221, 1063235?\nAnswer: 1346727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**5\/5 - 16*i**4\/5 + 26*i**3\/5 + 52*i**2\/5 - 128*i\/5 + 64\/5 = 0 for i.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -r**3\/6 + r**2 - 6*r + 1. Let o(d) = 2*d - 4. What is -3*o(k) - 7*y(k)?\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 26*g. Let q(b) be the second derivative of 9*b**3 + 1094*b - 1. Calculate q(v(s)).\nAnswer: 1404*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4559 (base 10) to base 5\nAnswer: -121214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.62454423 to 3 decimal places.\nAnswer: 1.625","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 10*c = -2*v - 24, -2*v = 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0.3. Suppose -1 = -3*y - 7. Which is the closest to y? (a) -2 (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 8 (b) -363 (c) 0.1 (d) -0.2 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -159 + 5\/(3 - 4). Let a = i + 169. Solve -3*v + 4 = -2*v, 31 = -a*x + 4*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/100)\/((3\/(-1))\/24)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t. Let c(r) = r**2 - 14*r - 25. Let a be c(11). Let z = a + 89. Let l(u) = 61*u - z*u - 29*u. What is l(j(h))?\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 w when two letters picked without replacement from {w: 1, o: 1, k: 1, u: 1, v: 1, c: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -5. Let p = 19 + -30. Let j = p - -12. Which is the closest to j? (a) 5 (b) v (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o**3 + 31*o**2 - 8*o - 10. Let l be y(14). Suppose -p = -2*p + k + 223, 2*k - l = -2*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 46.55 - 45. Let b = -18.95 + o. Round b to 0 dps.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18058220 to the power of 1\/2, to the nearest integer?\nAnswer: 4249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 12081?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-3 + sqrt(7)*-2) - ((sqrt(448)*1 - sqrt(448)) + 2))**2.\nAnswer: 84*sqrt(7) + 301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 + 150 = -6*u. Let h(s) = -9*s + 5. Suppose 5*j - 27 = -2*t, -4*j = -t + 6 - 25. Let m(k) = -k + 1. Calculate t*h(b) + u*m(b).\nAnswer: -3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126658 and 738584.\nAnswer: 1526","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Round 303.276659 to 1 decimal place.\nAnswer: 303.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 = 0, -4*i + 15 = 2*u + 3. Suppose -2*k = -u*k - 92. Calculate the smallest common multiple of k\/(-4) + 5\/(-10) and 2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, n: 2, s: 2, h: 4}. Give prob of sequence cccs.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28084 = -23*s + 141*s. Suppose -z = 5*g + 13, 3*g - 2*g = -2*z - 35. Calculate the remainder when s is divided by 60\/z*9\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/65993 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21250 (base 6) to base 4.\nAnswer: -231132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 3. Let v = -1 + t. Let q be 0\/3*(-2)\/6. Put q, 4, v in descending order.\nAnswer: 4, v, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 25223647, 25223630, 25223601, 25223560, 25223507, 25223442?\n\"Answer: -6*d**2 + d + 25223652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c + 2 + 10*c**2 + 2 + 15*c.\nAnswer: 2*(c + 1)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4645 + 7892. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*i - 6 + 5 = 0, 2*i + 15 = -658*f + 671*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5040269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -151 (base 6) to base 3.\nAnswer: -2111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-13 - (5 - 7)) + 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**3 - 797*b**4 + 30*b - 9 + 1772*b**4 - 972*b**4 to v*b**2 + o*b**4 + g + n*b**3 + t*b and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 168.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 6*t - 1. Let h be u(-4). What are the prime factors of ((-2)\/h)\/(11\/(-2387))?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*8\/((-576)\/66). Let w = -19\/20 + t. Calculate the common denominator of -53\/11 and w.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -0.0266?\nAnswer: 0.1064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 367335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + -104441433?\nAnswer: -104442200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -115.2097?\nAnswer: -57.60485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, f: 11, a: 2}. What is prob of picking 2 f?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-54) + (-592)\/(-72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 8, 92, 679 in descending order.\nAnswer: 679, 92, 8, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -8167*t - 24142. What is x(-3)?\nAnswer: 359","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 22 - 54. Suppose -72 = -t*r - 24. Solve r*v - 5*v = 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, -3, 0.541, 2129?\nAnswer: 2129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 32*d - 13. Let g be t(4). What is the greatest common divisor of g and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b3 - -42243?\nAnswer: 42150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/(-4))\/(3\/(-6)). Suppose 3*q - 2*s + 16 = -3*s, 4 = -4*q + 3*s. List the prime factors of (-7)\/28 + n\/q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m*q*w + 3*m*q + 17*m*w - 3*w with respect to q.\nAnswer: -2*m*w + 3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.07 + -0.03. Let t = -6659\/458 + 9\/229. Which is the biggest value? (a) t (b) k (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1.98, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 205*n + 224*n - 366*n. Let d(h) = -9*h. Determine 27*d(p) + 4*j(p).\nAnswer: 9*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 39\/45 - (-7)\/(5 + -12). Let u = -59315\/1548 - -26\/387. Let n = u + 38. What is the second smallest value in -5, l, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 104 + -97. Let r = 10 - l. What is the third smallest value in -0.4, 0.3, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 157*c - 177. Let w be m(21). What is the third derivative of 260*l**2 + 86*l**6 - w*l**4 + 3120*l**4 wrt l?\nAnswer: 10320*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = -157 - 185. Let d = 60 - f. Factor 6*s**2 + 6*s**3 + 2*s**3 + 3*s + 4*s**d - 9*s**3.\nAnswer: 3*s*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985.3017 millennia in years?\nAnswer: 985301.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g + 17. Let d(s) = s - 9. Determine -11*d(n) - 6*k(n).\nAnswer: -5*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 125, -119, 5, 3, -6 in increasing order.\nAnswer: -119, -6, -5, -2, 3, 5, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161168270 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2))**(5\/6)*i**(2\/5)*i**(-1\/4) assuming i is positive.\nAnswer: i**(-91\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ah when two letters picked without replacement from {h: 2, a: 10}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/15 - 56*j\/15 + 26.\nAnswer: 2*(j - 15)*(j - 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 100*l - 2224. Give r(33).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**4\/8 - 164*j**2. Let i(m) = 2*m - 159. Determine i(c(y)).\nAnswer: -6*y - 159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/33 and 39\/20417551.\nAnswer: 61252653","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-9 - -8) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2542, 4984, 7426, 9868, 12310, 14752?\nAnswer: 17194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (27324\/855)\/(-6) - (0 - 5). Let m be 1\/((-7)\/((-44828)\/(-760))). Let n = m - x. Calculate the common denominator of 119\/6 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i - 5*j - 18, i = 3*j + 6. Suppose -v - 1 - 3 = 0, 2*g = -2*v + 18. Let c = g + i. Solve 0 = -3*p - c - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*x = 435, 11*u - 7*u - 849 = 3*x. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -26*l - 149. Let i be k(-22). Let m = i - 428. Sort -17, m, 5 in descending order.\nAnswer: 5, m, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 31*n**2 + 2*n - 903. What is the remainder when 161 is divided by l(30)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7\/15 + -2\/3. Suppose -25 - 11 = 12*i. Sort i, o, -2\/3, -2\/11 in decreasing order.\nAnswer: -2\/11, o, -2\/3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90738383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2*r - 5*p - 2 = 0, 3*r = p + 6. Factor -6\/11*b**r + 8\/11 + 0*b - 2\/11*b**3.\nAnswer: -2*(b - 1)*(b + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*h**3 + 1040465*h**2 + 12486200*h + 20810500 = 0. What is h?\nAnswer: -10, -2, 208105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -6*z**2 - 28*z - 14. Let q be t(-4). Solve -2 = q*h - h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-5*sqrt(32).\nAnswer: -100*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*f = 12430 - 5346 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -32. Which is the nearest to 0.3? (a) d (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/10)\/(228\/76)*(-8)\/(-2)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (18 + -10 - (22 + -12)) + 26 + 2\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -103*p**2. Let s(w) = -2*w**2 + 699*w - 79. Calculate s(x(q)).\nAnswer: -21218*q**4 - 71997*q**2 - 79","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3\/13 - 11906*s**2\/13 + 23486240*s\/13 - 15364793472\/13 = 0. What is s?\nAnswer: 1832, 2289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -581, -1265, -2223, -3455, -4961?\nAnswer: -6741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1042 * -0.5.\nAnswer: 521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeee. Give prob of sequence ee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 13 = -3*s, 3*s - 165 = -5*p - 137. Solve -5*h = -p*u + 25, -4*u + 4*h = 5*h for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 b when three letters picked without replacement from qbqqqqqccq?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448176369?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/(u*u*u\/u**6))\/u)\/u**1)**(1\/4)\/(((u\/(u**(-8)\/u*u))\/(u*u*u**4))\/(u\/(u*u\/(u\/(u**(2\/3)*u))))**(1\/6)) assuming u is positive.\nAnswer: u**(-91\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43661.\nAnswer: 43661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 207125558621 take away 299?\nAnswer: 207125558322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.787 - -14.\nAnswer: 7.213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 1. Let w(j) = j**2 - 3*j - 6. Let f(k) = 4*q(k) + w(k). Let c be f(-3). Suppose 5*b = -5*h + 195, -4*h = -b + c*b - 152. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -3\/7, -1\/2421, -2\/5, 2\/3, -6, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -1828760043 to the nearest one hundred thousand.\nAnswer: -1828800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1870 - s**2 + 2*s**4 + 0*s**4 - 1871 + s + 32*s**3 as w*s**2 + q*s**4 + x*s + r*s**3 + c and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozzfffofffff. What is prob of picking 2 z?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57453456?\nAnswer: 2, 3, 131, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 - 3*p**2 + 2*p. Let c(b) = -4*b**3 + 5*b**2 - 3*b. Suppose l - 2*w + 4 = -1, -5*l + 2*w + 15 = 0. Calculate l*n(z) + 3*c(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6)*6)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -15*k**2 - 1874*k - 1875. Determine o(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 1053602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 315 and 693?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*25\/(-10))\/(2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in 2, 4\/9, -0.4, 289, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1661 not equal to 101246\/61?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5810462 is divided by 971?\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (34\/85)\/((-4)\/(-10))*5. Let b = 62 + -58. Sort b, -50, n in increasing order.\nAnswer: -50, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4614700004?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w**2. Let o(b) = -248 + 11*b**2 + 248 + 10*b**2. What is z(o(f))?\nAnswer: -3087*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g - 1. Let u(i) = -7*i + 3. Give 5*n(h) + 3*u(h).\nAnswer: -6*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21067658 by 196894.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Let v = 40 + -35. Factor f**v + 0*f + f - 4*f**3 + 2*f**d + 0*f.\nAnswer: f*(f - 1)**2*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2. Let w = 1 + 0. Let h(m) = 4*m**2 + 6*m**2 + m**3 + 7*m**2 + 1 - 16*m**2. Give w*v(b) + h(b).\nAnswer: b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7.864458ug?\nAnswer: 0.000000007864458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311391, -622796, -934201?\nAnswer: -1245606","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 242 divide 567627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + v + 4*v + (-2*v - 3*v + 3*v)*(0 - 4 + 1))*((3 - 5 - 1)*(4*v**2 - 3 + 3) + 0*v + 2*v**2 + 0*v).\nAnswer: -70*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -12432408, -24864815, -37297222, -49729629, -62162036, -74594443?\n\"Answer: -12432407*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11*-1\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w - 5*u + 7, 4*w + 5*u - 2 = 9 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v + 83*v - 2*m = 42*v + 55, 7*m + 6 + 7 = -22 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -277411 or -1.76?\nAnswer: -277411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -130 (b) -2\/3 (c) -3 (d) 2 (e) -2\/41 (f) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000745426 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.16 - 0.84. Let b = -0.56 - 0.04. Let q = b - -5.6. What is the closest to -1\/2 in q, -0.5, k?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13235 + 317579\/24. What is the common denominator of -29\/4 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q**4\/3 - 16910*q**3\/3 + 14331185*q**2\/3 - 19040660*q + 19018140 = 0 for q.\nAnswer: 2, 1689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 + 5*k**2 + 11*k + 28. Calculate h(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -4*m - 60 + 35, -7*m = 3*r + 39 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 496c85 (base 13) to base 11.\nAnswer: aa0514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y + 2. Let u be o(-3). Let g be (-2)\/u - 28\/16. What is the units digit of (-6 - g)*(-6)\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 8. Let h = 76878777 + -76878766.9999958. Let l = h + a. What is l rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/40*-1*(-60)\/45*-1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 16*k**2 - 3*k - 50. Let w be z(7). Let u = 1249 - w. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) - (sqrt(65) + -2*sqrt(65) + sqrt(65)))\/sqrt(5) - (1 + -2*sqrt(13) + sqrt(13)))**2.\nAnswer: -4*sqrt(13) + 53","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7312546, 7312547, 7312548?\nAnswer: 7312549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(3\/5)*n**(-2\/5)*n**(1\/3)\/(n**8\/n) assuming n is positive.\nAnswer: n**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*c + 2*r - 9, 0 = -3*c - 2*r + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 - -22. Let f(m) = m**3 - 6*m**2 + m + 5. Let z be f(t). What is the highest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1104825947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6300 (b) 20 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -36\/5 + 0*x + 4\/5*x**2.\nAnswer: 4*(x - 3)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 - 14*b**2 + 10*b + 45. Let f be d(13). Let l(g) = 0 - g**3 + 0*g**2 - 2 + 2*g + f - 5*g**2. What is l(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 21 = 11. Let l(o) be the first derivative of -x + 1\/3*o**3 + 1\/4*o + 1\/2*o**2. Suppose l(w) = 0. What is w?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 divided by -1\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 13) in base 2?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {u: 1, q: 1, b: 1, n: 4, a: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 + 2*w + 11. Let g(h) = 0*h**2 - 15 + 3*h + h**2 - 3*h**2 + 36. Let r(y) = -3*g(y) + 5*j(y). List the prime factors of r(5).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -7*k**7\/2 - k**6\/30 + 77*k**4\/12 + 6*k**2 - 32*k - 19. What is the third derivative of f(o) wrt o?\nAnswer: -8820*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -2*w**3\/3 - 2*w**2 + 2*w. Is 10 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**2 - 45*h + 307. Let b be a(6). What is the closest to b in 2.53, 3, -1\/6, -0.3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = 2*r + r - l, -2591*r + 2586*r - 8*l = 278 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -782*f**3 - 1589*f**2 + 16706824*f.\nAnswer: -4692*f - 3178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**3 + 65*n + 60.\nAnswer: -5*(n - 4)*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2895*p + 936 = -8671*p + 2890*p + 2899*p for p.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -101*y**6\/6 + 124*y**3\/3 + 106. What is the third derivative of i(p) wrt p?\nAnswer: -6060*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -2*i**3 - i**2 - i - 1. Let s be t(-1). Let u = -10\/33 + 52\/99. Which is the smallest value? (a) -2\/7 (b) 0.5 (c) u (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -294084.385 rounded to the nearest 10?\nAnswer: -294080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(4\/(-2))*8\/(-2592)*-18?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -3\/2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29436, 58442, 87446, 116448?\nAnswer: 145448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-4)*-1)\/(-5)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - 0 - (-12)\/10. Let g be 8\/16 - 209\/330. Sort g, -0.07, b, 2 in ascending order.\nAnswer: g, -0.07, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, 3, 8, 15, 24, 35, 48?\n\"Answer: x**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -42 < 133?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88554*l - j + 13 = 88552*l, -j + 16 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5*y**2 - y - 7. What is the hundreds digit of o(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 13*z - 9. Let g(c) = 6*c - 4. Give 7*g(w) - 3*v(w).\nAnswer: 3*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/6842 and 45\/4976.\nAnswer: 54736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000035156 rounded to six decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 35 = 2*l, 4*p + 4 = -0. Let h be ((-10)\/(-4))\/(8\/l). Suppose -5*a + 7*m = 3*m + 4, -h*a = 3*m - 3. Solve a = 2*n + 2 - 4, -16 = -5*o - n for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 14 = -6*w + 4*w, 2*n = 4*w - 16. Solve r - 3*r = w*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1632 divided by -8\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 15*t = 4. What is the closest to t in -0.5, 0.3, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 804 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 5. List the prime factors of r(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**3\/3 + 20053016*a**2\/3 = 0. What is a?\nAnswer: 0, 10026508","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -79, -227, -443, -727, -1079, -1499, -1987?\nAnswer: -2543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -507?\nAnswer: 17\/507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 i when two letters picked without replacement from {i: 2, e: 2, u: 10, w: 2, a: 1, o: 3}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -1, 0.3 in descending order.\nAnswer: 0.3, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 8 + 5)*(-9*v**5 + v**5 - v**5 + (3 - 3 - 2*v)*(-3*v**3 + 3*v**3 + v**4)).\nAnswer: 77*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28750 and 460.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 45*m + 28*m + 168 - 47*m + m**2 - 52. Let u be n(-21). Solve 0 = -u*h - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*n + 3*n + 5, -3*n - 3*z = -3. Suppose 0 = -3*x + h + 6, 2*x = -h - 3*h + 18. Let i(m) = -1 + 9*m + n - m**2 - x*m. Determine i(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222221 (base 3) to base 11.\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3128 = -15*r + 2017. Let u = -337 + r. Let z(f) = -f**3 + 6*f**2 + 3*f - 9. Determine z(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -4, -32?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -24. Let n be 6\/(-8) + (-28)\/x. Solve -g + 2 = n for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 191 + -9. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.37 + -52.63. Let x = 0 + z. Let b = x + 52.97. Which is smaller: -3\/7 or b?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 261607.5mg?\nAnswer: 0.0002616075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/61 >= 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28015 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 2*c**2 - 7*c - 5. Let d be p(4). Let r(h) = h**3 - h**2 + 1. Let l(b) = 6*b**3 + b**2 + 7*b + 9. Let w(y) = d*l(y) + 5*r(y). What is w(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*f**2*l**2 - 4*f**2*p + f*l**3*p - f*p - l*p - 2*p wrt l.\nAnswer: -6*f**2*l + 3*f*l**2*p - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(15\/2))**(7\/8) assuming k is positive.\nAnswer: k**(105\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16323 equal to 16322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280 divided by 7.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -2240424?\nAnswer: -2240420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 25.9 and 21 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/5 - 336\/(-60).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.7 - 38.2. Let o = z + -5.5. Let i = o - -35.02. Which is the second biggest value? (a) i (b) 4 (c) -0.2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -36987563\/23 <= -1608154?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.90363673 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3243 divided by -26\nAnswer: -3243\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, y: 1}. Give prob of picking 3 d and 1 y.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikc when three letters picked without replacement from {c: 8, k: 6, i: 3}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -43. Suppose 0 = 11*y - 140 + 30. Suppose -18*n + 32 = -y*n. What is the least common multiple of c and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 161*d**2 + 235*d - 26. What are the prime factors of y(13)?\nAnswer: 2, 13, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 8.\nAnswer: 23\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) 46 (c) 11\/3 (d) -3\/7 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -192042.2 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -v**7\/210 - v**4\/24 + 3*v**2. Find the second derivative of u(k) wrt k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2418 + -2356. What is the highest common divisor of i and 48?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -988, 4, -4, 0 in descending order.\nAnswer: 4, 0, -4, -988","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) -258 (b) 6\/7 (c) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8880)\/117)\/5 - (-226)\/(-1469)?\nAnswer: -46\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 700 = 2*w. Suppose -w - 63 = -z. What is the remainder when z - ((-4)\/(-2) + 1) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 946?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**3 + 0*t**3 + 7 - t**2 + 5*t**2 - 5*t**2 + 7 in the form d*t**2 + j + p*t + z*t**3 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4849308469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 5 (b) 0 (c) -1 (d) 4 (e) -14\/5 (f) -75.44\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 - 35. Suppose -3*n = -6*n + 33. What is the units digit of b\/21 + n\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1f02cd (base 16) to base 5\nAnswer: -1010013313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1167, 1165, 1161, 1155, 1147, 1137?\n\"Answer: -q**2 + q + 1167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**4\/6 + 2*h**3\/3 + 3*h**2\/2 - 14*h - 1. Suppose 4*a = 5*r - 3*r - 14, 5*a + 18 = 3*r. Determine w(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 241366?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of u**7\/1365 - u**6\/780 - u**5\/65 + u**4\/39 + 8*u**3\/39 - 12*u**2. Determine r so that w(r) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 566*u**4 + 340*u + 5*u**3 + 763*u - 543*u**4 wrt u?\nAnswer: 276*u**2 + 30*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 123894211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -10 + 29 + (-15 - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5933977?\nAnswer: 7, 23, 36857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -611 - 447 + 1058 - 246*m**2.\nAnswer: -246*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 553 (base 6) to base 2\nAnswer: 11010101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335.\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + c)*(6 - 3 + 14)*(5 - 2 - 1) to x*c + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -328.873*-0.06\nAnswer: 19.73238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -4. Let c = -0.6 + a. Let b = 0.05 + -0.05. What is the closest to b in c, 3, 5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13232 minus 0.038659?\nAnswer: -13232.038659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1380)\/(-33) - -2*3\/33. Suppose 3*f = -3*f + 72. Calculate the greatest common divisor of f and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 6*b**2 - 5*b - 6. Let f be h(-1). Suppose 11*s**f - 7*s**5 + 7*s**4 + 8*s**3 + 5*s**4 = 0. What is s?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36169785?\nAnswer: 3, 5, 151, 5323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57*v**2 + 27*v**2 + 32*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-24) + 20\/(-15))*-2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.407267 tonnes in micrograms?\nAnswer: 407267000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - i**2 + 18*i - 17. Give o(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z - 70 = -35 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - m + 183 = -436, 0 = -2*j + 2*m - 314. Let g = -2228\/85 + 138032\/765. Let l = j + g. Which is the closest to -0.1? (a) 3 (b) l (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 101 + -405. Let y = -304 - n. Which is the closest to y? (a) -7 (b) 3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2434 + 62*a - 2434 to the form t*a + u and give t.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -28*o + 42*o. Let g be (1 - (-1)\/(-1)) + 15. Let i be (o\/g)\/(-1) - (-21)\/35. Let k(r) = r + 2. What is k(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95561.06 + -95561. Let a = 1.2 - 0.2. Let t = a + 0. Is m <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 2a114?\nAnswer: 2a10a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = i - 3, -3*i + 17 = -6*i - z for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330*v**3 - 164*v**3 + 1963*v**2 - 1963*v**2 - 164*v**3.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -488*b + 491*b + 15 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u + 4. Let i be s(7). Let v be i\/(-2)*(-4)\/(-2). What is the highest common divisor of v and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s\/((s\/(s**(-1\/15)\/s))\/s)))\/s**(-13) assuming s is positive.\nAnswer: s**(226\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -45936, 4, -1, 2 in descending order.\nAnswer: 4, 2, -1, -45936","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 19*g + 3. Let s be b(9). Find the first derivative of -10 + 31 + 136*w + 0 + 44 + s wrt w.\nAnswer: 136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezryyrywyy. What is prob of picking 1 r and 1 e?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*a - 11. Let h = -1 - 4. Let j(n) = 3*n**2 + 2. Let t(i) be the second derivative of -7*i**4\/12 - 5*i**2\/2 - 8*i. What is a*t(q) + h*j(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11164 or 11160?\nAnswer: 11164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -25194948 - 16?\nAnswer: -25194963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**4\/24 + g**2\/2 + 6. Let v(t) be the second derivative of c(t). Let x(b) = -3*b. Give v(x(n)).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 337, 655, 969, 1279, 1585, 1887?\n\"Answer: -2*b**2 + 324*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.08 - -0.51. Let p = r - 0.63. Which is the nearest to -1\/2? (a) p (b) -0.3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*s**4 + 104573585*s**2 - s + 249096759 wrt s.\nAnswer: 72*s**2 + 209147170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 7. Suppose -h + 110 = 4*k + h, o = 5*k + 5*h - 150. Suppose -5*b + k = 0, -2*i + 4*b - 9 - 7 = 0. Solve -y - 5 = -i*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4 - -1)\/6*0)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**3 - 5*l**2 - 20*l + 20.\nAnswer: 5*(l - 2)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 255*w**2 - 180*w**2 + 288*w**2 + (0 - 3 - 1)*(2*w**2 - 4*w + 4*w) to p*w + a + i*w**2 and give i.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from qruvmrvvvvrmqvvqqvv.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2 - 10*u + 29. What is d(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1\/6494 + -77893\/227290. Let t = -1\/140 + g. Calculate the common denominator of 7\/8 and t.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 + (-210)\/36 - 26132\/(-24) a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1 - 8\/(-6). Which is the second biggest value? (a) j (b) 2\/11 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3)*a)**(-29)\/(a**(-2\/7)*a**4)*((((a**7*a)\/a)\/a)\/a**(-2\/25))**(3\/2) assuming a is positive.\nAnswer: a**(-22537\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 33*u**3 - 4*u**2 - 419*u + 1665. Calculate y(4).\nAnswer: 2037","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1541408673 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12.79 - -0.21. Let o = 8 - t. Let m be ((11 - -2) + -14)*1. Which is the third biggest value? (a) 1\/4 (b) o (c) -7 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3010 = -4*v + 3134. What is the second derivative of -43 - 1536*c**2 + v*c**2 + 2*c**4 + 2*c + 47*c**5 wrt c?\nAnswer: 940*c**3 + 24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.2794 plus -0.1?\nAnswer: 17.1794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.14647032 - 0.11\nAnswer: 0.03647032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 2) + (1 - -710000). What is p rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-18)\/(-11) - 2) + 606579\/4917. Is 159 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4*s + 3. Let l(q) = 4*q - 3. Let d(r) = -6*a(r) - 5*l(r). Let g be d(2). Find the second derivative of -4*o + 2*o**4 - g*o**4 + 2*o**4 wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -185 (base 12) in base 8?\nAnswer: -365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6\/36*(32\/4624)\/(2457\/153 + -16)\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -267*i*p*z - 6*i*p + 2*i*z**2 + 5*i*z - 4*p*z**2 + 11*p*z + 265*z**2 wrt p.\nAnswer: -267*i*z - 6*i - 4*z**2 + 11*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1552725694?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-99))\/(((-21)\/105)\/((-30)\/100)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {u: 1, e: 1, g: 2, j: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 20 - 22 = 0, -5*w = -3*c + 8621. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ejemjeemz. Give prob of sequence jem.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, s: 8}. Give prob of sequence ss.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1618 = -4*r, 2*x + 22*r - 3281 = 23*r. Is x a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 74?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/3)\/((-1)\/(-9)). Let u(f) = f**2 + 2*f. Let j be u(z). Let w = j - 4. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*y**4 - 104*y**4 - 78*y**4 + (-3*y**4 + 3*y**4 - 2*y**4)*(4 - 5 + 2))*((-1 - 1 + 0)*(4 - 4 + 2) - 1 + 1 - 1 - 2 + 0 + 3).\nAnswer: 452*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 2*r**2 - 18*r - 35. What is c(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 26*g - 45. Let s be d(-24). Suppose -4*h + s*r - 20 = -51, 0 = 4*h + 4*r - 24. Solve 0 = h*j - 2*j - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -687 and 1.3.\nAnswer: -685.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -20 - 15*w**2 + w**2 + 13*w**2 + 13*w. Let l be j(9). Calculate the greatest common factor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15870525 or -2\/7?\nAnswer: -15870525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14349169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6909*k + 4697*k = 3211*k - 1040980 for k.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.099 * -0.35.\nAnswer: -0.03465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, -1\/3, 3\/7, -25\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -17176 at least as big as -17176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89, -175, -259, -341, -421, -499?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313 - 11?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -52*l - 25. Let o(z) = -104*z - 49. Let r(g) = -2*o(g) + 5*v(g). Is r(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3113 + -20?\nAnswer: -3133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*k**2 + 14*k**2 - 124 + 5043 + 3*k**2.\nAnswer: 90*k**2 + 4919","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 9 + 1. Let v(s) = 2*s**2 - 3*s - 3. Suppose 0 = 2*q + 4*u - 90, 5*u + 35 = 2*q - 73. Calculate the remainder when q is divided by v(j).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 722 - 721. Which is the second smallest value? (a) 132 (b) o (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9056392.8 to the nearest one thousand.\nAnswer: 9056000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 314339920 times -0.1?\nAnswer: -31433992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/3111695 and -103\/82.\nAnswer: 6223390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174898150.\nAnswer: 2, 5, 7, 71387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -498 divided by -774036?\nAnswer: 83\/129006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -26*b**2 - 25*b + 25. Determine o(2).\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -26729*w**4 - 746*w**2 - 2*w + 27099984?\nAnswer: -106916*w**3 - 1492*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*-3)\/(sqrt(25)\/(sqrt(5) - sqrt(125) - sqrt(5)) - sqrt(5)).\nAnswer: 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 t, and 2 w when four letters picked without replacement from wowwwwwwtwwwwwwwo?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -40*(10\/50 + 14\/(-20)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146063301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 10 = -y. Suppose 0 = 2*n + 3*n - 85. Let k = y + n. What is the closest to -2 in 1, 3\/4, k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -827842, -827841, -827840, -827839, -827838?\n\"Answer: z - 827843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(-168))\/((1\/(-7)*-3)\/((-55)\/110))?\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -11. Let r be (1*c)\/(-6 + 7). Let z = 5 + r. Solve z = -4*a - 4 + 24 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(35)*-1)\/sqrt(7).\nAnswer: -sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1152082251*j**3 + 231538*j**2 + 19*j + 4 wrt j?\nAnswer: -6912493506","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, w: 1, i: 1, l: 1}. Give prob of picking 1 w and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 5*y - 27 = -4*n, -y = 5*n - 39. Suppose 0 = -5*i - n*t + 3*t + 679, -5*t = 5*i - 680. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 10 = -37*k. What is the highest common factor of k and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 3) in base 2?\nAnswer: -10101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 203*d - 1826. Let f be o(9). Solve -6 - f = -c for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03341267 to 4 dps.\nAnswer: -0.0334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 7923960*w**2 + 31695900*w + 31695920.\nAnswer: -5*(w - 1584796)*(w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t**2 + 222*t - 222*t. Let o(v) = -3*v**2. Give 2*f(p) + 3*o(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - 2*k - 37. What is c(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 471700.8 years?\nAnswer: 4717.008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3127123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (8\/(-6))\/((-4)\/6). Solve -5 = 2*h - 4*h - d, -z*h + d = -11 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1425 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -18 (base 12) to base 9\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4182*v + 2079*v + 2098*v - 3 - 7 + 6.\nAnswer: -5*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2194 - -234. Round z to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6893 is divided by 211.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.9873 rounded to the nearest integer?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 - 3*p**2 + p**2. Let s(b) = 62*b**2 - 26*b - 104. Let x(a) = -3*a**2 + a + 4. Let z(q) = 2*s(q) + 52*x(q). Calculate z(y(d)).\nAnswer: -32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, i: 3, y: 4, t: 1, w: 6}. Give prob of sequence oi.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 + 287 = 0. List the prime factors of f.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:51 PM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005848304 rounded to five dps?\nAnswer: 0.00585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -5*y + 8, 19 = 2*o - 3*y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 108 + -1?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48267 - -48266.14108. Let f = j + 0.558915. Let u = f - -0.3. Round u to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (914949\/(-515))\/(2\/(-10)).\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q + 3*a - 12880 = 0, -a = 3*q - 7732. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**4 + 5*r - 5*r)*(-33 - 4 - 16)*(16*r + 0 + 0).\nAnswer: 2544*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10405471 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deddddrerdedeeeddded. What is prob of sequence eder?\nAnswer: 77\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1296 and 1008.\nAnswer: 9072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f - 18. Let c be t(-10). Solve -3*x + c*z + 7 = 0, 0 = -3*x + x + 3*z + 13 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1135 (base 6) to base 9.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-5 - (-3 + 0)). Suppose 4*g - 4*x - 32 = j, 2 - 4 = -2*g - 5*x. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 0*r**2 - 40 - 6*r + r**2 + 72 - 31. Determine g(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 56, -0.2, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 330396215 to the nearest integer?\nAnswer: 691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 20, 525 in increasing order.\nAnswer: 3, 20, 525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210233233 (base 4) in base 10?\nAnswer: -674799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**2 + 325*z + 654 = 0 for z.\nAnswer: -2, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a milligram in micrograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2728 and -0.1.\nAnswer: -0.02728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 13*a**2 + 15*a - 10. Let c = -246 + 248. Let t be ((-30)\/18 + c)*-3 + 15. Determine u(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 263285734?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-5)\/(60\/963). Let j = h - 93. What is the common denominator of j and 52\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 16*h**5 - 26*h**2 - 2. Let r(n) = -32*n**5 + 53*n**2 + 4. Let g(t) = 2*r(t) + 5*x(t). What is the third derivative of g(y) wrt y?\nAnswer: 960*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-7)*399\/38. Sort y, 0, -39, 1 in descending order.\nAnswer: 1, 0, y, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -4\/23, -5, -51, 2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3017 + -3021. Sort 12, -1\/6, 15, v in ascending order.\nAnswer: v, -1\/6, 12, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.4 + 0.4. Let x = -7 - -11. What is the biggest value in g, 5, x?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from rkrss.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (1045\/20)\/((-2)\/(-8)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3)*-15)\/(2\/(-2))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 136, 140, 146, 154?\n\"Answer: g**2 + g + 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, x: 4, o: 6, q: 3}. What is prob of sequence jjq?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + c - 2. Let m(i) = 5*i**2 + 3*i - 8. Let u = -23 - -41. Let s(g) = u*p(g) - 4*m(g). Let s(l) = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -c + 3*x, 0 = -2*c - 2*x - 24 + 140. What is the highest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from trrrrrtttr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 + (3 + -3 - 3). Let a(t) = t - 5. Let q be a(b). Let i(j) = -3*j**2 - 3*j - 3. Determine i(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7522?\nAnswer: 2, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 362, 359, 354, 347, 338?\n\"Answer: -f**2 + 363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + (-11 - (-17 - (7 + 0) - -3) - 6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a millennium in months?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 - 26 - 8*a**3 + 3.\nAnswer: -2*a**3 - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 126392 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 2*z + 12. Give o(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-7\/5))**(5\/2)*m\/(m*m*m**(-21))*m**(13\/5))**(-27) assuming m is positive.\nAnswer: m**(-5157\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60455 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5036830 and 4130?\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 17, 23, 37, 59, 89?\n\"Answer: 4*v**2 - 6*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 118401\/1046 and 113 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s\/s**36)\/s)\/s)\/s*s)\/(s*s\/(s**(-13)\/s*s)*s*s))**40 assuming s is positive.\nAnswer: s**(-2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5827665 and 645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48412.0000101045 - -48412. Round u to 7 dps.\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30 - -19 - -46) + (27 - -1).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 57\/2 of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -356 + 1752*j + 697 - 341 in the form h*j + u and give h.\nAnswer: 1752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0447588, -1, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61317 is divided by 210?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*i + d + 7 = -35*i, 10 = -5*d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 1, o: 1}. What is prob of sequence qp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8*y**2. Let s(g) = 764*g**2 - 231. Let n(q) = 39728*q**2 - 12033. Let t(p) = -11*n(p) + 573*s(p). What is t(v(a))?\nAnswer: 48896*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/1111 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 15 - 3 = 0. Suppose 0 = -f*h + 2 + 7. Let -15*b**3 - 6*b - 3*b**2 + 13*b**h + 11*b**2 = 0. Calculate b.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-529 - 82 + 481 - 1611)*(2 - 2 + 2*a + (2 - 2 - 1)*(2*a - a - 2*a)) in the form d*a + g and give d.\nAnswer: -5223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.7, 0.2, 2, 4, -0.02 in ascending order.\nAnswer: -1.7, -0.02, 0.2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-26)*2 + (-4)\/(-26). Solve f*s = 4*n - s + 20, 0 = n + 3*s - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -31739 (b) -1 (c) -0.4 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12483*r = -158470 - 1002449 for r.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k**(12\/11)\/k*k))\/k*k*k**(-6))\/(k*k\/((k**8\/k)\/k)*k**(-4\/3)) assuming k is positive.\nAnswer: k**(-25\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 43802 and 75658?\nAnswer: 832238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8428083427 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.812 times 0.06\nAnswer: 0.04872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 273 + 2*d**3 - 273 + 1492*d**2.\nAnswer: 2*d**3 + 1492*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 521, 13, -10, 37.\nAnswer: -10, 13, 37, 521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000103674 to five dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a microgram in nanograms?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 17. Let s be d\/(-4) + 2 + -2. What is the lowest common multiple of s\/1*32\/(-10) and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785050459 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b + 56. Suppose 3*h - 4*g - 12 = 0, -3*h - 2*h = 4*g + 12. Does 8 divide d(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2839536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 3)*(0*a + a - 2*a)*(97 - 88 - 390 - 144).\nAnswer: 3150*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -517530 + 246344177\/476. Calculate the common denominator of a and 43\/476.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 8\/7 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/(-108)*4 - -6.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1430 (base 7) to base 10.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2178)*-3 + 3 + sqrt(2178)*-2*-3)**2.\nAnswer: 594*sqrt(2) + 19611","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l - 3. Let w(a) = -8*a - 2. Let i(g) = 9*g + 2. Let q(v) = 4*i(v) + 5*w(v). Let d(t) = 5*n(t) - 7*q(t). Suppose -2 = -4*j + 3*j. What is d(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032770 to the power of 1\/2, to the nearest integer?\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 321.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -96 + 105. Suppose 0 = -y*c - 0 + 54. Let j(i) = -i + 14. Give j(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 116498 divided by 31\nAnswer: 3758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + 4*i**2 + i - 4. Let q = -11 - -20. Let b be (-4)\/(-6) - 42\/q. Let x(v) = 5*v**3 + 9*v**2 + 2*v - 9. Give b*x(z) + 9*l(z).\nAnswer: -2*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8730.07 - -8730. Let g = -1.1 - -0.1. Sort 12, f, g in descending order.\nAnswer: 12, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5))**(-2\/29)*n**(-4\/7)\/n**(-4\/5) assuming n is positive.\nAnswer: n**(246\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/3 (b) 16 (c) -689 (d) -1 (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*i**4 + 3177*i**3 - 3*i + 228374 wrt i?\nAnswer: -8*i**3 + 9531*i**2 - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from {r: 2, n: 1, k: 1, x: 1, q: 1, y: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 1, n: 1, r: 1, p: 3}. Give prob of sequence pp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.036 in -0.07, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 290670?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287*u - 33 = -298*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2*(sqrt(684) + 0 + sqrt(684) + 2 + sqrt(684))*-5 + -2)**2*-4.\nAnswer: 155520*sqrt(19) + 14782176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004980919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 417094971 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from sbkwkkssbwk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let g = 1 - -5. Let j = g + -4. What is the least common multiple of p and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -127*z**3 + 3 - 3 - 4*z - 3. Let l be u(-1). What is the greatest common divisor of 16 and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 15) in base 16?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*a - 24*a = 2005904. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*k - 5*k + 9, -5 = 5*k - 3*a. Suppose 0*o - k = -2*o. What is the greatest common divisor of o and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10, 32, 68, 118?\n\"Answer: 7*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 9 + 6. Suppose 0 = s*w + 3077660 - 92660. What is w rounded to the nearest 10000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 15*i. Let z(l) be the third derivative of -12*l**2 + 0*l - 1\/12*l**4 + 0*l**3 + 0. Determine z(m(s)).\nAnswer: -30*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185 - 186. Let a(r) = -r. Let s(q) = 7*q + 1. What is u*s(v) - 4*a(v)?\nAnswer: -3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*q + 1)*(-9 + 2*q + 9) + 0*q - q**2 + 0*q + (-6 + 0 + 4)*(2 - 2 + 2*q**2) + 0*q**2 + 0*q**2 + 2*q**2 + 3*q - 2*q**2 - 3*q)*(17*q**2 - 7 + 7).\nAnswer: -153*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -13.\nAnswer: 8\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1215400696 rounded to 5 dps?\nAnswer: -0.12154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1259107 (base 10) to base 5.\nAnswer: -310242412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes before 11:26 AM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -77*l**5\/5 + 203*l**2\/2 + 173. What is the second derivative of i(t) wrt t?\nAnswer: -924*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**3 - 43479*v**2 - 22887024*v - 22843548 = 0.\nAnswer: -13946, -546, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -4*q - 2, 7*k - 4 = 3*k + 3*q. Let t(u) = -u - 6. Let v be t(-6). Suppose -3*y - k + 13 = v. Solve -y*a + 14 + 2 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 458*u - 9. Let w be h(7). Suppose -3*o + w = -3928. Suppose v + 7275 = o. Round v to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4.9, -0.2, 1\/35?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14343 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 59 = -2*a, -4*p + a = p - 295. Suppose p*x = 61*x - 4. Suppose 3*y = x*y + 141. What are the prime factors of y?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a - 0?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -12 + -30 + 59.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7509, 7513, 7521, 7533, 7549, 7569?\n\"Answer: 2*r**2 - 2*r + 7509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 109793 by 4.\nAnswer: 109793\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**3 + 62*d**2 - 6*d - 8. Let w(n) = 2*n**3 + 64*n**2 - 5*n - 7. Determine -8*s(q) + 9*w(q).\nAnswer: 2*q**3 + 80*q**2 + 3*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-43)\/(-4) - (-6)\/(-8). Solve 5*j + 2*d - 25 = 6*d, -2*j + 3*d + c = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7 - -2)\/((-2)\/18). Let y be l\/((60\/(-1168))\/5). Is 18 a factor of (-2)\/11 - y\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4 (b) -13\/4 (c) 2\/3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5131000 to the nearest integer?\nAnswer: 2265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4527411.7 days to weeks.\nAnswer: 646773.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/7 - (-4347)\/(-4508)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 + 26*o**2 + 21*o - 87. Let r be j(-25). What is the greatest common divisor of r and 29?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*-1*(32\/(-14))\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2. Suppose 87*r = -102*r - 129 + 696. Let d(x) = 5*x**2 - 3*x. Determine r*y(s) + d(s).\nAnswer: 2*s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 AM and 10:37 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27*k**3 + 22*k**3 - 16*k**2 - 2*k + 2*k wrt k?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89aa (base 12) in base 5?\nAnswer: 442000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 0.3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 96 = -4*q + 16, -6*q = 2*i - 178. Solve 0 = 34*u - q*u - 3, 11 = 4*s - u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17837 rounded to the nearest 100?\nAnswer: -17800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1569, -1562, -1553, -1542, -1529?\n\"Answer: b**2 + 4*b - 1574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1276 and 3698660?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2\/5*h + 2\/15*h**2 = 0. Calculate h.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pggpggppgppp. What is prob of picking 3 p and 1 g?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8240 and 1240?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -21*(-6)\/63*2\/20. Let q be 96\/(-52) + 2 + 0. Which is the nearest to u? (a) q (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -93, -84, -63, -24, 39?\n\"Answer: n**3 + 2*n - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 - 7)*(0 + 0 + 2*w)*(1 - 1 - w - 4*w + 2*w + w + 0*w + 0*w + w + (-w + w + w)*(-1 - 3 + 2)).\nAnswer: 54*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 231557, 233682, 235807, 237932, 240057, 242182?\n\"Answer: 2125*c + 229432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/10*39\/((-5187)\/(-76))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 + 0)*(4*q**2 - q**2 - q**2) - 10*q**2 + q - q)*(4*q - q - q - 4*q + 2*q + 0*q + (-q + q + 2*q)*(0 - 1 - 1)).\nAnswer: 32*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**3\/3 + q**2 + q - 4. Let f be g(-4). Suppose 3*i = -f + 45. Calculate the remainder when 20 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + ((2 + -1*sqrt(72))**2 - sqrt(72)) - (4*(sqrt(72) + sqrt(72)*-1) + -4)).\nAnswer: -150*sqrt(2) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -860 - 16?\nAnswer: -876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -4*j + 2*j - 14, 5*m + 35 = -5*j. Let l(k) = -k - 2. Let t be l(j). What is the third derivative of -54*d**5 + d - d - 8*d**2 + 57*d**t wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15*r. Let w(m) = -6*m - 6. Let d(h) = h - 1. Let c(s) = -5*d(s) - w(s). Let n be c(-9). Let k(f) = -158 + n*f + 158. Give k(g(a)).\nAnswer: -30*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 46, 166, 366, 646?\n\"Answer: 40*w**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1062*p**2 + 935*p**2 - 1988*p**2. Suppose -2*b + b - 3*g = -3, -2*g = 0. Let n(j) = j**2 + b*j**2 - 2*j**2. Determine n(w(c)).\nAnswer: 162*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: 217 divided by -7\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 23*s**2. Let y(m) be the third derivative of -m**6\/36 - m**3\/3 - 16*m**2. Let a(u) be the first derivative of y(u). Give a(t(b)).\nAnswer: -5290*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8596 rounded to two dps?\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 4054?\nAnswer: -1216.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -977152 divided by 352?\nAnswer: -2776","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (5\/1 - 5) + 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6 - -6 - (-75 - 0). Find the second derivative of 2*x**5 - 5*x + 75*x**2 - c*x**2 wrt x.\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10, -14, -18?\n\"Answer: -4*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 3*g - 8. Let a(f) = 3*f**2 + 5*f - 16. Let s(o) = -2*a(o) + 5*c(o). Does 9 divide s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -20232\nAnswer: -20232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.06 (b) 4 (c) -2\/3 (d) 6 (e) -1076\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 153? (a) -11 (b) -3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*t - 108*t = 22 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 813.0713l in millilitres?\nAnswer: 813071.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 3*a - 18 = -3, 0 = 5*y + 2*a - 24. Solve 7*p + 8 = y*p + 4*u, 3*p = 4*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240125 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 100001000 (base 2) to base 10\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -18274057 - -0.219636\nAnswer: -18274056.780364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -196022, -784179, -1764476, -3136919, -4901514, -7058267, -9607184?\n\"Answer: -b**3 - 196064*b**2 + 42*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uqqquqduqqqqqu. Give prob of picking 1 d and 3 u.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*3\/8*172292\/(-4534)\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (0 - -9) - -11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32.9 - 35.11. Let i = -100.79 + n. Let d = i - -122. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 8*j + 5. Give m(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 16.75 times -72\nAnswer: -1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g - 8*g + 6*g. Let r(d) = 2*d. Let u(m) = 30*m**3 + 2*m**2 - 2*m + 1. Let q be u(1). Let h = 28 - q. Calculate h*r(s) + 4*i(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**2 - 20*p - 3. Calculate x(-13).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22885020.\nAnswer: 2, 3, 5, 127139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1998*o + 149*o - 10727*o.\nAnswer: -8580*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -289, 16\/3, 5, 12, -96\/11, 1 in decreasing order.\nAnswer: 12, 16\/3, 5, 1, -96\/11, -289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that 4*g**3 + 40*g**2 - 208*g + 224 = 0.\nAnswer: -14, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 16 = -0*m + 4*m, 3*k + 2*m - 8 = 0. Suppose -6 = -2*q + 3*b, -4*b - 31 + 11 = -k*q. Solve -15 = 4*s - q*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/117, -3\/26, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2 = -5*t, -a - t + 20 = -0*t. Let u = a + -8. Is u a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6891? (a) -7 (b) -0.5 (c) -35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/324295 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23381 - 117319\/5. Which is smaller: g or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2*s - 2734, 2*u - 240 = -5*s + 1590. Is 35 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32*b**3*h - 58*b**3 - 8*b**2*h**2 - 7097*b**2 - 8860*h + 22 with respect to h.\nAnswer: -32*b**3 - 16*b**2*h - 8860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3520058 and 177?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8503*-1523.\nAnswer: 12950069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/631 in -10, -2\/15, 5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 21198588 - 5818588 = 0. Round r to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -71 (b) -0.1 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (648\/(-4590))\/((-26)\/(-65))\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -184 + 1aa?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 162*w**2 + 3*w - 2. What are the prime factors of z(1)?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 207820488 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 6. What is k(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.612 and 13.\nAnswer: 25.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6) - 0)*48\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8137\/657 or 1\/2?\nAnswer: 8137\/657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 362*w - 9. Suppose -a = 3*c - 2 - 2, 5*a = -5*c + 20. Is h(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891 a factor of 88322157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*z - 7*z - 4*z)*(4*z**2 - 1 + 1) + (-z + 3*z - 4*z)*(-6*z**2 + 3*z**2 + 2*z**2) + 173*z - 11*z**3 - 173*z as y*z**3 + t*z + m + b*z**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2\/13 - 7823656*c\/13 + 15647304\/13 = 0 for c.\nAnswer: 2, 3911826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22171600?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 4:45 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -484*r**3 - 5*r - 2. Let l be d(-2). Let s = l + 1. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + -12 - (38 - 39).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -650.76721 minus -0.507?\nAnswer: -650.26021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/228 - -127\/76. Factor p*a**3 + 0 + 1\/3*a**5 + 4\/3*a**4 + 2\/3*a**2 + 0*a.\nAnswer: a**2*(a + 1)**2*(a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10) + (-15)\/300\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 7*j**2 - 2*j - 6. Suppose 0*r - 2*r - 14 = 0. Suppose 58 = 2*a + 4*x, -5*a = -x - 158 + 2. Calculate the remainder when a is divided by c(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 125206427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 5*f - 2, 3*n - 12 = f + 8 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -5) + -2 + -1. Suppose -4*h = -r - 10. Solve h = -j + 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m + 3*m**2 - 5*m**2 - 20*m + 2890*m**3 + 39*m.\nAnswer: 2890*m**3 - 2*m**2 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p - 10. Suppose -5*k = -3*k - m - 14, -m - 4 = 0. Let y be (-15)\/k - -8*1. Determine b(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 64455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2387 and 217?\nAnswer: 2387","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 4*w**2. Let j(b) = -6591*b**2 - 3*b. Calculate j(r(c)).\nAnswer: -105456*c**4 - 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -98998 (base 11) in base 5?\nAnswer: -14043423","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {w: 6, v: 1, d: 1, x: 7}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6672743 (base 10) to base 7.\nAnswer: -110501030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/((-10)\/(-144)))\/((-18 - -26) + -9). Solve -a*b = -100*b + 84 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 252 = 1890. Let n = 1343 + w. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 2. Let d be 2\/(w\/(-1) + -1). Let l = 1.94 - -0.06. Which is the second biggest value? (a) d (b) -3\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/15*(0 + 5). Suppose -5*m + 43 = 3*b - 10, -y*b = -5*m - 24. Solve b + 1 = 4*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 19 - (-1 - -9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(-8\/5)*h*h\/(h*h**(6\/13)*h*h))\/((h**7*h)\/(h**25\/h*h*h)))**(17\/6) assuming h is positive.\nAnswer: h**(22253\/390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10694807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 q, and 1 p when three letters picked without replacement from {f: 2, u: 2, k: 1, d: 2, p: 3, q: 2}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 207 and 175788.\nAnswer: 4043124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135219 - 110548 = -21*l + 611264. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3897932996?\nAnswer: 2, 79, 101, 122131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 5*u + 9. Let l(x) = -x**2 - 9*x + 2. Let w be l(-9). Suppose -d + 5*d = 2*f + 34, 0 = -3*d - w*f + 8. Calculate r(d).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1859?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/68 and -61\/612?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5\/2, -13, -3, -2\/3, 13?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 270 = 3*g. Let z be (-36)\/15*200\/(-6). Let n = g + z. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 19*q**2 - 39*q - 72. What is t(-17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**3\/(g*g*g**(-8)*g*g)*(g\/(g\/(g\/g**(4\/3))))\/(g\/(g*g*g\/g**2*g)) assuming g is positive.\nAnswer: g**(23\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25 + 27. Let l(a) = -3*a**h + 1 + 5*a**2 + 3*a**2 + 0. Calculate l(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*w - 9 = 0, 4*r - 3*w + 6*w = 16 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1\/3, 2 in ascending order.\nAnswer: -3, -2, 1\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -173*d + 1. Let x(b) be the first derivative of -b**2 + 445. Give x(s(m)).\nAnswer: 346*m - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-3)\/36)\/((-1)\/(-4))*-6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -274387.6352 rounded to the nearest 10000?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (34\/1)\/(4 + -2). Let w = -14 + m. Solve -w*a - 10 = -8*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/168 and 47\/12.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 88*l + 38512 - 41416 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p + 17004*p**3 - 3*p + 14*p - 1858*p**3.\nAnswer: 15146*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -15*c**3 + c**2 - c - 1. Let w be x(-1). Let u be 1\/2 + (-1215)\/(-6). Let i be 36\/(-60) - u\/(-5). What is the greatest common factor of i and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 320200 to the nearest 10000.\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -158821293 - -5?\nAnswer: -158821288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2304809623 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238285 is divided by 9531?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nm when two letters picked without replacement from {g: 2, n: 1, b: 1, m: 2, t: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 24 from 23.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1450)\/(-14616) + (-5)\/315 + (12130\/24)\/(-5).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 5) + 9 + -1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**4 + 5*p**4 - 3*p**4 + 12*p**3 + 0*p**3 - 5*p**4 - 2*p**2 in the form t*p**4 + m*p + r*p**3 + x*p**2 + v and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 572498.4l in millilitres?\nAnswer: 572498400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 40*t - 126. Let r be ((-8)\/4 + 147\/9)*3. Let x be c(r). What is the closest to 14 in 0.1, x, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a**3 + 4*a**2 + 4. Give p(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 218, 325, 430, 533, 634?\nAnswer: 733","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -67\/2, 6796 in ascending order.\nAnswer: -67\/2, 0.01, 6796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the third derivative of -169*i**5\/30 - 2*i**4\/3 + 4*i**3\/3 - 90*i**2. What is the second derivative of x(w) wrt w?\nAnswer: -676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -18*b**3 + 11*b**2 - 7*b - 38. Let h(g) = -5*g**3 + 2*g**2 - 2*g - 13. Let d(k) = -2*f(k) + 7*h(k). Determine d(7).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3*o**2. Let f(y) = y - 1. Let a be f(3). Let t(n) = -n - 1. Let z(r) = r + 2. Let m(x) = a*t(x) + z(x). What is b(m(c))?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1058478.\nAnswer: 2, 3, 176413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3 = 2*v, -5*k - 5 = -5*v. Let m = k + 6. Let z = 1.1 - 0.1. What is the smallest value in -0.4, z, m?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ruirrriurui. Give prob of sequence rr.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 1 = -q. Find the first derivative of -a**4 - 2 + q + 1 wrt a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2 - 6 - 7*u**2 + 0*u**3 + 4*u**3 + 6*u - 3*u**3. Determine y(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q + 20122 - 19774 - 5*q. Let p(z) = z. Calculate b(p(c)).\nAnswer: -4*c + 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/23 + 19\/46. Let x = -783 + 465. Let y = 4132\/13 + x. Put -0.1, 1\/4, s, y in descending order.\nAnswer: s, 1\/4, -0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*k + 8 = -2, -k = o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, 9, -76, 115, 3 in increasing order.\nAnswer: -76, -8, -4, 3, 9, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 35906 to the power of 1\/2, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -9*g**2 + 336*g - 269. What is k(37)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from bgbbbbbgb.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9460 - 9458. Let q(y) = y - 2. Let j be q(-2). Put j, 1, x, 9 in decreasing order.\nAnswer: 9, x, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-3 + 6 + -5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/14)\/(36\/(-8) + 4). Sort -4, 3, -3, m in increasing order.\nAnswer: -4, -3, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 12*a + 1. Give v(-5).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -15*y - 5. Let i be z(-1). Suppose -i*f - 36 = -4*f. Let n(j) = -5*j**3 - 6*j**2 + 8*j - 1. Is n(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1208 and 143450.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 + 1.7. Let z = 15.4 - i. Let m = z - 14.6. What is the nearest to -1 in 2\/7, m, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one tenth of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -3*q**5\/5 - 5298*q**4\/5 - 2075991*q**3\/5 + 233127816*q**2\/5 - 992361708*q + 5963658480 = 0.\nAnswer: -930, 13, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-8)*2\/(-21). Let m be (1\/(-6))\/((-1)\/(-2)). Which is the second smallest value? (a) m (b) k (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 244 - 218. What is the highest common factor of 65 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38497.\nAnswer: 137, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.657226 years in decades?\nAnswer: 0.0657226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2674500 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 560300 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 4*m + 20. Is 1\/5 + m\/(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from owppooppwowwop?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2823471 and 2037?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-24 + 21)*5\/(-39). What is the biggest value in 0.5, -4, z?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3108\/5 < -621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2745.67 rounded to the nearest one hundred?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 121*g + 116*g = -234, 3*n - 6*g + 90 = -204 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 11*f + 9. Let y(w) = 19*w + 1. Let n(g) = 12*g + 1. Let q(c) = -10*n(c) + 6*y(c). Give -3*d(r) - 7*q(r).\nAnswer: 9*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**6 + 1181*k**5 - 32510*k**3 + 10810*k**2 + 2879*k?\nAnswer: 120*k**3 + 70860*k**2 - 195060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 + 3.5. Let z = -4 + u. Which is the nearest to z? (a) -0.3 (b) -3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfbbhyye. What is prob of sequence bh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 559629, 1119260, 1678887, 2238510, 2798129, 3357744, 3917355?\n\"Answer: -2*i**2 + 559637*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-429)*213675\/(-518).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1.6, -6048, -0.05, -0.5 in ascending order.\nAnswer: -6048, -0.5, -0.05, 1.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 24 = 2*r. Let k = -15 + r. Calculate the lowest common multiple of 11 and k.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**2 - 2*r. Let b(y) = -3*y**2 + y. Let f(w) = -2*w**2 - 29*w - 82. Let k be f(-4). What is k*u(c) + 5*b(c)?\nAnswer: -c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 5*t = 22, -z - 2*t + 66 = 59 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*x + 12*x - 2*x - 4*x as r*x + g and give r.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1160*t**3 - 3*t**2 + 3*t**2 + 1052*t**3 - 761*t**3.\nAnswer: -869*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {b: 11, o: 9}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 AM and 4:07 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 92 = -5*o, 24*o - 1222 + 764 = -2*z for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404527*d - 404248*d + 14508 = 0 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/(g\/g**36)))\/g**(-2\/25))\/(g**(-9\/4)\/(g*g*g**(5\/6)\/g)))**(2\/7) assuming g is positive.\nAnswer: g**(-9251\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7146 and 131778?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*p - 515289 + 257641 + 257648.\nAnswer: 30*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/3)*o**(-3\/11)\/o*(o**(3\/8)\/o)\/o*o*o**(-4) assuming o is positive.\nAnswer: o**(-1381\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4\/(32\/(-2)))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 0.19 (c) 363 (d) -3 (e) -2\/5 (f) -80 (g) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 - 249*y**2 + 3453*y + 3705.\nAnswer: 3*(y - 65)*(y - 19)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-180)\/54)\/(35\/(-42) + 1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 208\/19 - 586\/57. Put k, -3\/2, -1\/10 in descending order.\nAnswer: k, -1\/10, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -r - n, -5*r + 3*n = -66 - 36. What is the third derivative of -4*h**6 + 13*h**2 - 5*h**6 - r*h**2 wrt h?\nAnswer: -1080*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1064\/(-588))\/(-19))\/(6\/(-7))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152 - -0.5?\nAnswer: 1152.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (11 + -2 + 3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*q + 87 = 413 + 100 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 45*u - 2649. Let l be w(59). Solve l*b + 1 = 2*b - 5*h, 2*b = -h + 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4\/33 - -1\/22. Let i = -53.9 + 54. Put b, i, -0.4 in increasing order.\nAnswer: -0.4, i, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80000721?\nAnswer: 3, 47, 189127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from sdddssssssddsddsddd.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j**2 + 11*j + 11. Give d(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(-3*sqrt(684) + sqrt(684)) + 5 + 2 + sqrt(684) - (4 + sqrt(684) + 1 - (-3 + 1*sqrt(684)))*-3)**2.\nAnswer: 4836*sqrt(19) + 116556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 4 - 4. Suppose -c + m - 2 = 3, 0 = -d*c + 4*m - 20. Solve -2*n = -2*r + 12, 0 = -c*n - n + 4*r - 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 27*f**3 + 43*f**2 - 212. Let g(v) = v**3 + 6*v**2 - 2. Let z(k) = -c(k) + 2*g(k). Differentiate z(n) wrt n.\nAnswer: -75*n**2 - 62*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 116, 22\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3493 = -120*u - 241*u + 94*u + 1357 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -12*s - 32 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**2 + 35 + 25 - v**2 - 60.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000049726335 to 7 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -4*c**5 - 396*c**4 + 21824*c**3 - 156336*c**2 + 376448*c - 295680 = 0.\nAnswer: -140, 2, 4, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5007478?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/3*c**5 + 12*c**3 + 0*c + 0*c**2 - 4*c**4 = 0. What is c?\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 50\/9 and -29\/5136700.\nAnswer: 46230300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1304, -1324, -1352, -1388?\n\"Answer: -4*n**2 - 8*n - 1292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 22 (c) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 5*b + 5 = 0, -4661 = -w - 2*b - 4664 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 3\/4 (b) -0.1 (c) -0.3 (d) 0.2 (e) 1 (f) 1\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-238)\/(-10)*1705\/17391?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20.4248 + -111.0595. Let k = t - -90.43470096. Let p = k - -0.2. What is p rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5521 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of j**5\/60 - j**4\/8 - 10*j**3\/3 - 13*j**2 + 27*j. Let y(s) be the first derivative of u(s). Is 16 a factor of y(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.08 + -0.02. Let p = n - 0.06. What is the closest to -1 in p, 1, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -3*i - 5*i + 7*i. Let v(n) = -21*n**2. What is v(h(z))?\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-48))\/1*(2 + -14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**3*r**2*y + c**3*r*u - 4*c**3*r*y + 2*c**2*r**2*y - 2*c*r**2*y + 36*c*u*y - 2*r**2*y wrt c?\nAnswer: 6*r**2*y + 6*r*u - 24*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*c + 4*p - 20, 0 = 3*p. Let v(k) = 4*k**2 + 47*k - 134. Let n be v(-15). What is the common denominator of (c\/(-8))\/((-9)\/n) and -5\/26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1c577 - -5?\nAnswer: -1c572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/360 and -67\/12?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 12)\/24*9\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*c**2 - 5*c**2 + c**2)*(-105*c - c - 23*c) in the form y*c + t + p*c**3 + m*c**2 and give p.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1351 (base 7) in base 15?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 4*i**5\/15 + i**2 + 13474. Let g(n) = 7*n - 5. Let z(d) = -10*d + 8. Let p(w) = -8*g(w) - 5*z(w). Calculate p(o(s)).\nAnswer: -96*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3561, -7127, -10693, -14259, -17825, -21391?\n\"Answer: -3566*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 148 = -d, 3*q + 3*d = 2*q + 37. Let o = 30 - q. What are the prime factors of (-607)\/o - (-40)\/140?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99.94898mm in nanometers?\nAnswer: 99948980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 124651653.6 - -6?\nAnswer: 124651659.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 468355046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 16?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 1 - (-27)\/(-6))*0. Is r greater than -1\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2, -0.17, 3, -202?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 408.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f**2 - f - 2. Suppose -4*q - 23 = 5*w - 10, q - 4*w - 2 = 0. Calculate the remainder when i(q) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 0 + 0)*(11*o**3 + 17*o**3 - 9*o**3).\nAnswer: -38*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30691002079 + -3\nAnswer: 30691002076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icpqjhcqp. Give prob of sequence cj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 1. Let h(r) be the third derivative of r**5\/60 - r**4\/8 + r**3\/2 - 2*r**2. Let p(o) = -h(o) + 3*m(o). Let c(f) = -2*f**2. What is p(c(z))?\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3938 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7164.5100021 + 7164.73. Let n = -0.22 + j. What is n rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 345173348 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4 + 3 + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 769?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of 3\/5*f**5 + 0*f**3 - 3 + 0*f**2 + 0*f**4 - 3*f. Find the first derivative of x(s) wrt s.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of d**5\/30 - 269*d**4\/6 + 761*d**3\/2 - 11438*d**2. Find the first derivative of t(z) wrt z.\nAnswer: 4*z - 1076","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 315, 529, 711, 861?\n\"Answer: -16*u**2 + 262*u + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -520055 (base 7) to base 14.\nAnswer: -24565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v = 3*v + 7134. Suppose -v*n = -234*n - 312. What is the remainder when 125 is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68\/7*b**2 + 20 + 2\/21*b**3 - 626\/21*b.\nAnswer: 2*(b - 2)*(b - 1)*(b + 105)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the second derivative of 0*q**3 + 0*q**2 + 7\/12*q**4 + 56*q + 0. Let z(w) = 11*w. Give z(f(m)).\nAnswer: 77*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 0 + 0)*-1. Let s(w) = w**2 + 1. Let f(l) = l**2 + 32*l + 29. Let o be f(-31). Let q(b) = -b**2 - 2. Give o*s(h) + z*q(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 + 2*j - 5. Let i be (2 - 3)*(1 - -5). Is h(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(2\/5))*d\/d**(2\/5))\/(d**(-14)*d**(8\/7)) assuming d is positive.\nAnswer: d**(97\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -126*d - 11828. Let q be a(-94). Solve -5*f - 5*u = -6*u + q, 3*f = 3*u - 12 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 955*r**2\/6 - 319*r\/2 + 1\/3 = 0.\nAnswer: 2\/955, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p**5*r - 154051*p**2*r**3 + 142*p*r**2 - 3*p - 13*r**3 - 5*r**2 + 2*r wrt p?\nAnswer: 40*p**3*r - 308102*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1522?\nAnswer: 3\/1522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*k + 2*m = -11*k + 110, 101 = -0*k - 46*k + 5*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -18*k**2 - 57*k - 32. Let y(z) = -35*z**2 - 115*z - 65. Let w be ((-15)\/(-2))\/((-6)\/(-4)). Let o(q) = w*s(q) - 2*y(q). Factor o(x).\nAnswer: -5*(x + 2)*(4*x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001647866 rounded to 6 dps?\nAnswer: -0.000165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/(-14))\/(-3) - 1. Let m = -384 - -383.9. Which is the second smallest value? (a) -0.5 (b) p (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -115*a**3*c + 10*a**2*c - 343*a + 87*c + 5671 wrt a.\nAnswer: -345*a**2*c + 20*a*c - 343","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4139482127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/7 in -4, 82, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -62fea (base 16) to base 8\nAnswer: -1427752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3635485 and 67\/3635485.\nAnswer: 3635485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 4) to base 14.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*l + 24, l - o = -6*o - 14. Let p(a) = a - l*a - 20*a. Let b(y) = 6*y. Let u(f) = -2*f. Let t(j) = 5*b(j) + 14*u(j). Calculate t(p(c)).\nAnswer: -50*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*v - 93, 5*x - 7*v = -3*v + 421. Let b = x - 80. What is the second biggest value in -6, -4, b, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 - 13 = 7*d. Suppose 2*q - u = 26, 0*u = q - 5*u - 4. Let t = -3 + q. Calculate the remainder when t is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132*x = -39*x - 314*x + 15*x + 4944 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 621 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 14 = s - 4*z, -16 = 4*z. What is the third derivative of -34*v**3 - 55*v**s + 18*v**3 - 35*v**3 + 145*v**2 wrt v?\nAnswer: -306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -7. Let b = -11.00019 + s. What is b rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 8. Let g = l + 0. Let j(c) = -2*c**2 + 95*c - 222. Let t be j(45). Solve -u - 2*p + g*p - 8 = 0, 0 = t*u - 4*p + 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*t + 5*t - 5, -3*m + 5*t - 7 = 0. What is the closest to -0.1 in m, -2, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 7, 18, 43, 88?\nAnswer: 159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*z = -6*l + 972, 2*l - 648 = 5*z. Is l a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xiimmiiimxmiyiim. What is prob of picking 1 y and 1 x?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 10*s**2 + 19*s + 4. Let t be n(7). Suppose 30 = 2*d - l, 0*d + d - l = 16. Let m = t + d. Solve 2*w = 5*o + m*w - 27, 5*w + 15 = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/sqrt(360)*6)**2 + -4*(sqrt(192))**2 + 1.\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -4*m + 9*m. Suppose 8 = 3*t - 4*q, -m*t - q = -0*q - 21. Solve -3*j - t*i + 28 = -6*j, 0 = 5*j - i + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s*s\/(s**(3\/4)\/s*s)*s*s))\/s)\/s**(-2\/11)*(s*s\/(s*s**(-6)\/s)*s)**(2\/51) assuming s is positive.\nAnswer: s**(-2779\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, -9, -12, -15, -18?\n\"Answer: -3*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -5*p**2. Let f(j) = -8*j**2 + 10*j**2 - 3*j**2. What is f(b(v))?\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 + 5a2b?\nAnswer: 5a26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 54 = -2*a. Let h = 35 - a. Let j be 4\/1 - (h - 18). Solve -j = f - 2*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 + 11*b**2 - 8*b - 3. Let s be u(10). Suppose -594 = -11*z + s*z. Let r = z + 344. Calculate the highest common divisor of r and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, 4\/13, -2\/3, -0.7, 0.4?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30694 + -30692. Let b(l) = -l**3 - 2*l + 1. Let v(h) = 2*h**3 + 4*h - 2. Let d(p) = 5*b(p) + 2*v(p). Calculate d(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iggiiii. Give prob of sequence ii.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11 - 51*q - 11)*(3*q - 11 + 11 + (4*q - 15*q + 55*q)*(3 + 0 - 1 + (1 + 1 - 3)*(1 - 4 + 4)) - 3*q + 3*q + 2*q).\nAnswer: -2499*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - 1450\/175 - -29.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(13) + -1 + -4 - (4*-3*sqrt(13)*-1)**2.\nAnswer: -1875 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -87 + 95 + (0 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - -2. Suppose 3*j + b = 2*m, 0 = 3*m - 8 - 7. Let n = 13 - -2. Solve 0 = 3*c + j*c + n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 57 - 7*l + 78*l**3 - 30 - 20. Let v(y) = -52*y**3 + 5*y - 5. Determine 5*q(c) + 7*v(c).\nAnswer: 26*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - -23. Sort -0.2, m, -3 in decreasing order.\nAnswer: m, -0.2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/15))**(-1\/9)*(f\/(f**(-7\/3)*f))\/(f*f*f**(-2)*f) assuming f is positive.\nAnswer: f**(181\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (22\/6)\/((-2)\/6). Let s = k - -15. Differentiate -3 + 4 + 3*m**s - 5*m**4 with respect to m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + 2*(-3 + 2). Let p(u) = f + 7*u + 1 - 29*u. Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*j**3 - 16*j**3 - 9*j**3)*(-j - 5*j + 3*j + (0 - 3 + 4)*(0*j - 3*j + 2*j)).\nAnswer: 220*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 25*p**2 - 444*p - 4. What is n(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 + 15*u**2 - 14*u + 2. Let i be v(14). Let x be i + (2 - 2\/2). Solve -5*g + 2*p = 2, -4*p = -x*g - 0*p - 4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37465003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvovvotvvtvvvuvqtvv. Give prob of picking 1 t and 1 q.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/35)*g**(-16\/9)*g*g**(10\/11)\/(g\/(g*g\/(g*g**8))) assuming g is positive.\nAnswer: g**(-27067\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3962 at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 107463*w - 107464*w - 6216 - 823*w**4 - 1487*w**4 wrt w.\nAnswer: -9240*w**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/2 - 4461*j**4\/4 + 17194*j**3 - 123001*j**2\/2 + 151755*j\/2 - 121825\/4 = 0.\nAnswer: 1, 5\/2, 11, 2215","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -5*r**5 + 4945*r**4 - 1229835*r**3 + 3448535*r**2 + 48609800*r = 0?\nAnswer: -5, 0, 8, 493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -7, 1, -2, 1\/4 in decreasing order.\nAnswer: 15, 1, 1\/4, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-3*((4*sqrt(171) - sqrt(171)) + sqrt(171) + sqrt(171))*-2)\/((1*3*sqrt(81))\/sqrt(9)))**2.\nAnswer: 5700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of -4*d + 2*d + 0*d + 1 - 25 + d**2. What is f(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*3\/(-12)*(-616)\/44. Solve -4*t - 4 = -4*k, -12*t = -o*t + 2*k - 9 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 505 - 503. Which is smaller: 1\/17 or f?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*d - 35*d**2 + 34*d**2 + 4*d wrt d.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 237*f. Let n(s) = 15*s. Give n(w(t)).\nAnswer: 30*t**2 - 3555*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -214087 - -214090. Let z = -0.07 - 9.93. Let u = 0 - -0.5. What is the smallest value in z, -0.2, q, u?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*z = 121*z + n - 58, -27*z - 5*n + 388 = 0 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 22663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) + 3037727\/(-585552). Let n = d + 1\/3327. Find the common denominator of 91\/16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4524 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2570664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + x + 1. Let q(k) = k**3 - 2*k**2 - 2. Let v be q(2). Let c be w(v). Suppose 17 = -c*h + 101. What is the greatest common factor of h and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -2415, 5, 3, -0.2, 1\/6, 6.4, 2\/13?\nAnswer: 6.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 864833.\nAnswer: 193, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-24 + 3 + -9)*(-5)\/30. Solve -a*j - 4*l = -9 - 7, -2*j = -l - 9 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 4*x**2 - x - 2. Let p be i(2). Let h(a) = 31*a**2 + 183*a - 16. Let c be h(-6). Sort p, 1, -3, c.\nAnswer: -3, 1, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -20*v - 13. Let n(q) = -q. Give f(n(d)).\nAnswer: 20*d - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*s - 11*s = -768 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -f + 2*w + 22, -3*f + 133 = -4*w. Let m = f - 15. Suppose -3 = 3*z - m. What is the remainder when z is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -378 + 383. Let q be 1\/w - 380\/(-100). Solve -2*l - 2 = q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33756848?\nAnswer: 2, 223, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -190, -149, -78, 23, 154, 315, 506?\nAnswer: 727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 2\/9, -5\/4, -4 in ascending order.\nAnswer: -21, -4, -5\/4, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -154, -256, -400, -586?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4929465 rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*s + 8, -8*s + 7*s + 6 = 3*z. Solve -3*x + 3*v = 0, 2*v = x - z - 3 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7050 + -6454. Which is greater: z or 1789\/3?\nAnswer: 1789\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1322835236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from ttsccccccssttcsccct.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010110100 - 11001111101010100?\nAnswer: -11001011010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 - 44. What is the common denominator of 3*3*n\/(-96) and 3 + (-1 - 108\/(-32))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/45)\/(2\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l + 142. Suppose 13957 = -l*d + 88*d. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d. Let s(l) = l - 1. Let q(w) = -5*s(w) - 6*x(w). Let n be q(-8). What is n rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -109*z + 85*z + 13*z**5 - 45*z**5 wrt z?\nAnswer: -640*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 14\/4031 and -59\/580.\nAnswer: 80620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 39*x**3 - 21*x + 38*x**3 - 22089*x**4 + 22083*x**4 to the form h*x**3 + o*x**2 + f*x**4 + l + p*x and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 11476*c + 1514836. Give k(-132).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19215 to 2 decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/9*2)\/(-162)*(-10)\/60*-90?\nAnswer: 5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 0*n**2 - 2*n**2 + (-1 - 3*n + 1)*(0*n + 0*n - n) + (-2 - n + 2)*(3*n + n - 2*n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 12*x - 24. Let u be s(7). Let q(h) = h**2 + u*h - 7*h - 4*h. Let w(b) = 109*b**2. Determine q(w(v)).\nAnswer: 11881*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 c when two letters picked without replacement from {c: 2, f: 9, z: 6}?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n*(n\/(n*n\/n**(-5)*n)*n)\/n*n*n)\/(n*n\/n**(-6))*(n\/(n\/n**(2\/29)))\/n**(-3))**(-2\/19))**(-3) assuming n is positive.\nAnswer: n**(-1206\/551)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.4, 1\/5, -4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 621, 618, 613, 606?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 at least 407?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 plus -23402372836?\nAnswer: -23402372844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.570087kg to micrograms.\nAnswer: 9570087000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-776)\/(-16) + 3\/(-2). Suppose -8*w = -3*w + 2*d - 216, -3*w = -3*d - 117. Let n = l - w. Solve h = n*h + 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*t - 10. Let u(m) = m**2 - 7*m + 3. Let v be u(7). Let q = t - v. Let l(y) = -y + 1. Calculate l(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -17. 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 the least common multiple of 37793250 and 3054?\nAnswer: 37793250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 48\/5 (b) 3\/4 (c) -1\/2 (d) -0.04 (e) -6\/13 (f) 0 (g) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**4 - 54\/5*v + 12\/5*v**3 + 57 + 1\/15*v**6 - 27\/5*v**2 - 14\/25*v**5. Factor u(r).\nAnswer: 2*(r - 3)**3*(r + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*u**3 - 22980878*u**2 - 68*u**3 + 22980878*u**2.\nAnswer: -45*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.076557 millennia in centuries?\nAnswer: 10.76557","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 27437*t**2. Let o(v) = -2*v**2 + 1242. Determine o(c(k)).\nAnswer: -1505577938*k**4 + 1242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -211208, -211206, -211204?\nAnswer: -211202","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18594*h - 18044?\nAnswer: -18594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.8211 + -18.8211. What is the second biggest value in 0, b, -2\/19, -2\/5, 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -99\/380 - -1\/95. Suppose 5*d - 5 = 6*d - 5*u, -d - 5*u = -5. Which is the closest to 1? (a) d (b) 1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60893761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 4*d - d)*(-9 + 5 + 11)*(13 + 18 - 20) as m*d + n and give m.\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -415215*q**2 + 3*q + 3. Let d be x(-1). Is (2\/(-4))\/(-4 - d\/103806) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*n + 62 = 5*c, -6347*c = -n - 6349*c + 1 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*z + 4*z + 4 - 4*z)*(-2 + 5 - 15) - 2 + 7*z + 2 to a + i*z and give i.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 215, 391, 523, 611, 655, 655, 611?\n\"Answer: -22*d**2 + 242*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 138*q - 138*q + 148*q**3 + (-4*q**2 + q**2 + 2*q**2)*(8*q - 12 + 12) + 5*q**3 - 5*q**3 - q**3.\nAnswer: 139*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 11477*v + 5798*v - 15 + 5659*v.\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3\/2 - 465*g**2\/2 + 4706*g + 52272.\nAnswer: -(g - 27)*(g + 8)*(g + 484)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 1941626.\nAnswer: 17474634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1971 times -22\nAnswer: -43362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 5 - 5 - g**2. Let c(u) = -3 + 226*u - 223*u + 3. What is q(c(a))?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106624718 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 21 = -0*k + 5*l, 3*k + 1 = -l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 - -14. Let l be 316\/(-2054) + (-1252)\/(-26). Let a = l - q. Let x(c) = c. Calculate x(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-2 + -6 + 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 - 2002220?\nAnswer: -2001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8\/25 + 41\/50. Let q(y) be the first derivative of 0*y**2 - u*y**6 + 5 + 0*y**4 + 0*y + 4\/3*y**3 + 0*y**5. Find the third derivative of q(v) wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 298, 2464, 8348, 19810, 38710, 66908?\n\"Answer: 310*k**3 - k**2 - k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -37.93469.\nAnswer: -113.80407","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*h + 55 = 5*x, 0 = 5*x + h - 55. Let d(f) = f**3 - 12*f**2 + 13*f - 26. What is d(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*c + 1206*r - 1208*r + 26, 5*r - 7 = -2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 122*n - 126*n = -12, -5*d + 2*n - 13 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167*t - t**3 + 84*t - 2 + 84*t - 2*t**2)*(0*t**2 + 0*t**2 - t**2).\nAnswer: t**5 + 2*t**4 - t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35930614729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1307558 < 11768014\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2196450430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.038102 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -17 - (146 + -148).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3.61 (b) -2\/5 (c) 5 (d) -0.249\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 7:00 AM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 31*c - 112. Let s(i) = -i - 24. Determine 3*s(n) - v(n).\nAnswer: -34*n + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c - 10*c. Solve 102*j - 94*j + 32 = c for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v + 1. Let r(w) = -11 + 19 - 2*w + 2 + 1 - 8. What is -4*g(n) + r(n)?\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + 3524. What are the prime factors of c?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93996 divided by -5\nAnswer: 93996\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/(-120))\/(((-18)\/(-4))\/(-3))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259541.\nAnswer: 53, 59, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - x**2)*(-x + 5 - 2*x + 5).\nAnswer: 3*x**3 - 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -7211, -14442, -21667, -28886, -36099, -43306, -50507?\n\"Answer: 3*h**2 - 7240*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -4, 1734*s - 1731*s - 4232 = 5*l. Which is smaller: l or -840?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*w + 16, -2*w + d + 20 = 3*w. Solve 0 = -2*y + 2 - w for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**3 - l**2 + 3315*l - 6627. What is s(2)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 22*s**3 + s**2 - s. Let i be t(1). Let o(a) = 13*a - 3. Let u be o(3). Let q = u - i. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79 - -21. Suppose 0 = 3*v - 2*x + 11, 5*x - 15 = -12*v + 7*v. Let t be v + s*(-3)\/6. What is the highest common factor of t and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21213 (base 4) to base 3\nAnswer: -211210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 200.4 or 2\/15?\nAnswer: 200.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1159 + 1172. Let v = -23 - -31. Calculate the lowest common multiple of v and b.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252506139335 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 9*w + 14. Let p be b(11). Let h = -93 + p. Let d = 252 - 173. Calculate the remainder when d is divided by h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39361, -39353, -39333, -39295, -39233, -39141, -39013?\n\"Answer: c**3 + c - 39363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the second derivative of n**4\/42 - 152*n**3\/21 + 151*n**2\/7 + 384*n + 2. Determine u, given that y(u) = 0.\nAnswer: 1, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2254560 a multiple of 176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -311103 + 12113121?\nAnswer: 11202012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r + 6. Let c(g) = -2*g + 11. Let s(t) = -6*c(t) + 11*i(t). Let l be 0 + 3\/(6\/8). Let w(x) = -30*x - 27*x + l*x**2 + 57*x. Give s(w(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 17*p**3 + 2*p**2 - 1. Let i be 4 - 1\/(3\/9). Let u be b(i). Suppose 0 = -4*m - 5*w + u, -5*m + 10 = -4*m + 4*w. Solve m = 5*j + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5788499 kilometers to micrometers.\nAnswer: 578849900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 825.6764mm in meters?\nAnswer: 0.8256764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 189 divided by -1?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 47969.92t?\nAnswer: 47969920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/10807933 or -1?\nAnswer: -6\/10807933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -150100.\nAnswer: -2\/37525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11040.05 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -77240000 to the nearest one million.\nAnswer: -77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 1. Let j be ((-1)\/3)\/(k\/(-6)). Suppose -5 = -5*w, q - 5*w + j = -1. Solve -q*i - 26 = 4*v, 2*v + 3*i + 2 = 7*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*r + 3*r + 4*r + r + 4.\nAnswer: 2*r + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -x + 150, -n = x - 41 - 9. Let c = 61 - n. Suppose -c*r + 3*r = -376. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 419 * 0.2747\nAnswer: 115.0993","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from kfff?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5203 - 0.5230956. What is h rounded to 5 decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2267, 9011, 20251, 35987, 56219, 80947, 110171?\n\"Answer: 2248*m**2 + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 31*n**3 + n. Let b be h(1). What is the highest common divisor of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-111)\/66 + 1 - 191\/(-382). Let v = -0.12 - -0.1. Which is smaller: v or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 183 + -181. What is the nearest to -0.2 in 4, v, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 3*l + 2*l**2 + 3*l - 5*l. Let k = -27 + 29. What is the units digit of a(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.339 - 237649191?\nAnswer: -237649190.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Suppose -l*q = -1535194 - 884886. Suppose -5*z + 4*u = q, -3*u + 412773 + 71242 = -4*z. What is z rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.3 + -1.3. Let s = 4 + -7. Let x = -3.1 - s. What is the second biggest value in n, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18161811\/79 + 229905. Let s = d + -21343\/1580. Calculate the common denominator of s and -75\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/17 (c) -3\/4 (d) 2 (e) 0 (f) -0.137\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-29 - (-47 - -25))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -653, -1326, -1999, -2672?\n\"Answer: -673*y + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136 = 24945*h - 24949*h, 3*c - 3*h - 102 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**3 - 1510*f**2\/3 + 8178*f - 2670 = 0?\nAnswer: -267, 1\/3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**4\/24 + 2*i**3\/3 + 3*i**2 + 2*i. Let j(x) be the first derivative of a(x). What is the first derivative of j(u) wrt u?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*u + 3, 0 = u - 2*u + 2*w + 2. Suppose -4*a - 14 = h - 4*h, u = 3*h + 2*a - 20. Calculate the least common multiple of -2*(-5)\/(-3)*-3 and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 893.04 and -0.06.\nAnswer: -53.5824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 11*c - 8. Determine v(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(sqrt(112) + -2 - sqrt(7)).\nAnswer: -4 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*m**4 + 635*m**3 + 320*m**2.\nAnswer: -5*m**2*(m - 64)*(2*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 j when two letters picked without replacement from vvvvwvvjvvvvv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - 9*f**2 - 7*f - 59. Let z be x(-9). Let i(u) = 12*u**2 - 18*u - 1. Calculate the remainder when i(z) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**2 + 3*q - 3. Let x(b) = b**2 + 4*b - 4. Let c(o) = -4*v(o) + 3*x(o). Let a(j) = -j. Give a(c(d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1732 is divided by 289?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -550*p**2 - 492*p**2 - 1390*p**2 + 549*p**2.\nAnswer: -1883*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 31 = -3883. Let y = 30897\/8 - o. Calculate the common denominator of 1*(-3)\/2*-24 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 - r**5 + 0*r**2 + (-2*r**4 - 4 + 4)*(6*r + 0*r - 4*r) - 4*r**5 + 2*r**5 + 4*r**5.\nAnswer: -3*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -230963 or -230964?\nAnswer: -230963","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156914 - 156914 + 11*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b = 60*b + 39*b - 6633. Let m(n) = -n**3 - 5*n**2 - 2*n + 1. Let d be m(-5). What is the highest common factor of d and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -6 - -33) + 3 + 1.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1367 = 17*g + 690. Let o = g - -123. Suppose 4*j = j. Solve 0 = -o*c - j - 10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7008000 rounded to the nearest one hundred thousand?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-484)\/110 + 8*(-98)\/(-112)?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000883 to 5 decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 2*z**2 + 11*z - 91. Determine p(6).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -11. Suppose 4*q = -a + 9807, -k*q - 4*a = 2*q - 9816. Suppose 5*c = -2*f + 4071, -c - 3*f - q = -4*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -88 + 68 - 77\/7\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.42, -5, -3 in ascending order.\nAnswer: -5, -3, -0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*m + 10620 = -870*m for m.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 3*t - 1331 = 0, z + 2*t = 5*t + 670. What is the hundreds digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/95, 2, -6\/23?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 35*10\/210*(-18)\/15*(-52)\/13?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*344\/215.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76026272 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20178 (base 14) to base 4.\nAnswer: -102311032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(2736) + (-3*sqrt(2736)*-2)**2.\nAnswer: 12*sqrt(19) + 98497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -857 - -956. What is the remainder when d is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-27)\/36)\/((-10)\/(-20)))\/(3\/16)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -4. Suppose d = 3*d + o. Let u = 1 - d. What is the remainder when 2 is divided by u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c\/c**(-3)*c*c*c)\/c**(6\/11))\/(((c*c*c\/(c**(-2)*c)*c)\/c)\/c**(-4)))**23)**(-5\/12) assuming c is positive.\nAnswer: c**(1955\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 3*f**5\/2 - 43010*f**4 + 487296*f**3 - 1203768*f**2 - 1031832*f = 0.\nAnswer: -2\/3, 0, 6, 28662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/95 and 85\/152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70*0.18162.\nAnswer: 12.7134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 46*a + 223. Suppose n - 5*f - 33 = 0, 15*n - 10*n + 4*f - 20 = 0. Is 14 a factor of o(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + b = 4*b - 8, -5*l + b + 6 = 0. Suppose -2*m + 7 = 2*c - 3, -5*c + 4*m - l = 0. Find r, given that -4\/7 - 10\/7*r + 6\/7*r**c = 0.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 9*w**2 - 8*w - 7. Let n be k(8). Let m(t) be the third derivative of -t**5\/60 - 3*t**4\/8 - 5*t**3\/6 + t**2. What is the units digit of m(n)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1007809 divided by 91619.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, f: 7}. Give prob of picking 1 s and 1 f.\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 536 a factor of 615683904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h + 1. Let b(z) = 5*z**2 - 165*z + 55. Let u(i) = -2*b(i) + 110*t(i). Let m(d) = 12*d**2. What is m(u(y))?\nAnswer: 1200*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 10) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -5 - 54*z**2 + 0 - 9*z + z**3 + 59*z**2. What is the units digit of p(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363941 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*q + 36*q = 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -k - 4*k + 21, -4 = -2*k + w. Differentiate k - 5*d**3 - 2 + 8 with respect to d.\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -199.2\nAnswer: 398.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1537, 1537, 1547, 1573, 1621?\n\"Answer: o**3 - o**2 - 4*o + 1541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1165.374ms to minutes.\nAnswer: 0.0194229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*n + 6. Suppose 30 = 5*j - 10*x + n*x, -3*x = j - 18. Calculate the remainder when 50 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 7 = -22. Let m = 2 + r. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -10 - (2 + -3 - 4). Let p be 4 - (0 - z) - -3. Solve -3*r + 4 = -4*b, -5*r + 6 + 18 = p*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000704 rounded to six dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 4*b + 189. Calculate q(-12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1173, -2347, -3521, -4695?\nAnswer: -5869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1568 and 294.\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9 - 13. Let w be -4 - (1 + (f - 1)). Suppose 0 = 3*i + g - w*g - 346, -3*g + 233 = 2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*w**4 - 264*w**3 + 447*w**2 + 272*w + 36 = 0. Calculate w.\nAnswer: -18, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, i: 7}. Give prob of picking 2 i.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1223 - 1263241?\nAnswer: -1262015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31212365?\nAnswer: 5, 6242473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1509263 is divided by 106?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a week in hours?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -0*v - 9. What is the highest common divisor of v and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/4 (b) 413 (c) 4 (d) -12 (e) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 38\/3 + 6\/(-9). Suppose 4*n + 24 = -w. Let u = 13 + n. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) 1043 (c) -1.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 558300.\nAnswer: 558300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 - 7*s**2 + 0*s**2.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158491763.\nAnswer: 613, 258551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -62*(-1)\/1*(-21)\/(-42). Suppose 4*c - 28 = -w, -36 = -w + 2*c - 8. Solve i = 3*x + w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3308248670 and -9024?\nAnswer: 3308257694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 89856, 3, 0, 5, -1, -5, 1 in increasing order.\nAnswer: -5, -1, 0, 1, 3, 5, 89856","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000011010010110001 + 1?\nAnswer: 1000011010010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1663044.71 from 698.4.\nAnswer: -1662346.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32804*l + 2 - 65624*l - 2 + 32822*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23406937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213, 876, 1981, 3528, 5517?\nAnswer: 7948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 437189048*n**2 + 790090782 with respect to n.\nAnswer: 874378096*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -176874 and 0.12.\nAnswer: -176873.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p - 27. Calculate f(8).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4136438 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15309493 to the power of 1\/2, to the nearest integer?\nAnswer: 3913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -137 - -136.95. What is the closest to 1 in -0.3, -3\/7, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -125, 3\/4, -3\/7, -3 in decreasing order.\nAnswer: 3\/4, 2\/5, -3\/7, -3, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -138\/643?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3, 42, -166\/7, -1, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 j, and 1 t when three letters picked without replacement from tjnnnnntttttntnj?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**(-31)*(y**(2\/3))**(-30) assuming y is positive.\nAnswer: y**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 821674?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -12296*t - 1487832. Determine j(-121).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -281\/3 - 1\/6*c**3 - 94*c**2 - 375\/2*c.\nAnswer: -(c + 1)**2*(c + 562)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/5 - 34*j - 172\/5.\nAnswer: 2*(j - 86)*(j + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-152)\/24 - -5) + 2\/(-12)*1006. What is the nearest to 0 in 2, m, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 g when two letters picked without replacement from {g: 5, c: 1, y: 2, n: 1, r: 1, f: 3}?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317190 is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from gcvvcvgocccggcvcvg.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(250)\/sqrt(2))**2 + 4*((sqrt(80))**2 - sqrt(5))*-2.\nAnswer: -15 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-134.14.\nAnswer: 147.554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (3 + 4 - 6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/(-7))\/(((-504)\/98)\/18). Solve 3*w + 6 = 7*o, -o - 4 = 4*w - d*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 692 + -69. What are the prime factors of t?\nAnswer: 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**3)**(-13\/6))**(-7\/11) assuming u is positive.\nAnswer: u**(-91\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 11 - 4. Suppose 4*d - 3*l = l - 7496, -p*d - l = 9346. Round d to the nearest 100.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 325247\/63770 - 2\/6377. Let w = -1011 - -1967\/2. Find the common denominator of v and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 2*b = 56. Suppose 0 + b = -2*l. What is the units digit of 984\/6*(-3)\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*u*v**3 - 626*u + 4*v**3 - 806*v**2 - 4 wrt u?\nAnswer: 2*v**3 - 626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 12*t**2 + 21*t + 130. Let k(g) = -13*g**2 - 21*g - 131. Let c(b) = -3*k(b) - 2*l(b). List the prime factors of c(-9).\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 13787668.\nAnswer: 1\/13787668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - 16 - 5) + 3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.54348 - 127.44148. Let c = 126 + i. What is c rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/4*f**2 - 3\/2*f + 0 + 3\/4*f**3 = 0. Calculate f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 75 = -5*p + 5*p - 0*p for p.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111010 + -11?\nAnswer: 1110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -102?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-2 + sqrt(130))*5 - (sqrt(130) - 1*-4*sqrt(130)))\/(sqrt(40)\/(sqrt(36)\/sqrt(9)) + sqrt(1000)*-5).\nAnswer: 10*sqrt(13)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -1\/2, -7\/1128 in descending order.\nAnswer: 1, -7\/1128, -1\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l = 17*l + 260. Let g be (-6)\/(-8) + (-1365)\/l. Suppose -g = -k + 64. What are the prime factors of k?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 16584974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5572105848 + -835\nAnswer: -5572106683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8759 + 157.\nAnswer: -8602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does -6.57 = -1\/29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 82 - 47. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7444529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-4*1\/(-24)). Let c(d) = -13*d**3 - 7*d**2 + 7*d + 7. Let x(q) = -13*q**3 - 6*q**2 + 6*q + 6. Let p(u) = v*x(u) - 5*c(u). Give p(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 PM and 11:36 PM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 36275*s + 548. Is b(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 2c948b?\nAnswer: 2c948b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 253.8775l?\nAnswer: 253877.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((-5*(1 + sqrt(450)) - (-5 + (sqrt(450) - (1*sqrt(450) - sqrt(450)))))*-4)**2.\nAnswer: 259201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -h. Suppose 2*x = -h*x + 152. List the prime factors of x.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 16*s**2 + 3*s - 16. Let j(f) = 4*f**3 - 77*f**2 + 11*f - 65. Let h(d) = -9*i(d) + 2*j(d). Give h(-10).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 411*n**3*o*v**2 + 30*n**3*o - 2*n**2*o*v**2 - n**2 - 4*n*o*v - o*v - v**2 wrt v.\nAnswer: 822*n**3*o - 4*n**2*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-39 - -9)) + 2 + 9 + -1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 8:57 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102*a**2 + 3 + 54*a**2 + 5*a + 47*a**2 to y*a**2 + s*a + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 743365942 and 6546.\nAnswer: 2182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, f: 1, g: 2}. What is prob of picking 1 g and 1 f?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 4*f**2 - 4*f - 2. What is the hundreds digit of y(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 72?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -21 + 546\/21 + 386\/2. What is the greatest common divisor of 288 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518876578 to the power of 1\/3, to the nearest integer?\nAnswer: 1521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 388, 326, 222, 76, -112, -342, -614?\n\"Answer: -21*y**2 + y + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36690, -36717, -36744?\nAnswer: -36771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -65 + 65.121. Round n to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2*g + 2. Let n be s(-2). Let t be (n + (-4)\/(-6))*12\/(-8). Factor k + 6*k**t - 41*k**4 - 3*k - 6*k**3 + 43*k**4.\nAnswer: 2*k*(k - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-3 + 0 - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1410 divided by 94?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4043.655135 rounded to the nearest integer?\nAnswer: -4044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27\/14 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - 5*o + 5*j - 23, 2*o = 2*j - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 496738 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*c**2 + 27*c**2 - 91*c**2 - 2*c**3 + 30*c**2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -43, -20, 23, 92, 193?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-11) - (14\/77 - 0). Let o = 316 - f. What are the prime factors of o?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19 or -53?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**3\/3 - 7*p**2\/2 + 3*p + 3. Let s be i(-5). Suppose -7 = -5*m + s. Solve -3*f = -m*q - 29, -f + 14 = -3*q - 4 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 + 19*v + 36. Let m be f(11). Suppose -4*w = 4*x - 464 - 280, -4*w = -m*x + 586. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1495772674?\nAnswer: 2, 11, 1601, 42467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279047.6mg to nanograms.\nAnswer: 279047600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1166 less than -36485?\nAnswer: -35319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -7\/134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 74 + 73 + (4 - 3 - 3)*(-1 - 2 + 1))*(-3*c + 3*c - 2*c).\nAnswer: 90*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus 0.028592?\nAnswer: -2.971408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -18. Suppose 0 = -3*q + 20 + 10. Suppose -q*b + 5*b = -t. Calculate the remainder when 10 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/225480 and -17\/169110.\nAnswer: 676440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 146 (base 7) to base 11.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 56668291 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 1060*v**2 + 67*v + 511. What is the units digit of s(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-904)\/226 - (68\/(-51))\/((4\/(-222))\/(-1))\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is a + e?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -7*g. Let d(k) = -111*k. Let n(s) = -6*d(s) + 99*w(s). Let v(y) be the first derivative of -y**2\/2 - 39. Determine v(n(a)).\nAnswer: 27*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -33733.1567 to the nearest 10.\nAnswer: -33730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*h**3\/5 + 78*h**2\/5 - 27*h\/5 = 0.\nAnswer: -9, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*m + 4 - 4 + (-2 - 1 + 1)*(3*m + 0*m - 5*m) + 3*m - 1 + 1.\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3733 or 7\/8?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000001814 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/8*-62*(-134)\/(-201) - 8?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 2*n - 6. Let j be d(4). Let p(u) = u**2 - 4*u - 4. Let y be p(5). Let v = y - j. Which is the nearest to -2? (a) v (b) -0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**3 - 6*o - 3. Let j(f) be the first derivative of f**4\/4 - f**2\/2 - f + 12096. What is g(l) - 5*j(l)?\nAnswer: 2*l**3 - l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g + 1637. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -14. Let d(z) = 55*z**3 - 2 + 3*z**2 + 10*z**3 + 10*z**3 + 5*z. Let b be d(l). What is b rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b - 1 - 8*b + 1. Let d(q) = -q - 4. Let t(c) = -1. Let x(n) = -d(n) + 4*t(n). Calculate r(x(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/21*63960\/8200.\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -42419.\nAnswer: 593866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 38*d + 211. Give u(-31).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/7))**34*(t**(2\/7))**(-8) assuming t is positive.\nAnswer: t**(290\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*(x\/(x*x**(-3\/2))*x)\/x)\/x)\/x**(-1\/2)*(x*(x\/(x*x**(-1\/9)\/x))\/x*x)\/(x\/((x*x\/x**0)\/x)*x) assuming x is positive.\nAnswer: x**(37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a second in milliseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.05087.\nAnswer: 0.10174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.58567 + -34.76557. Let m = w - -30.2. Let h = 0.02 - m. Round h to 5 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22507 divided by 71.\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 552483 to the power of 1\/2, to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 70\/(-245) - (0 + (-114)\/7). What is the greatest common divisor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206\/(-3)*18\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - o + 448 = o, 2*u + 5*o - 208 = 0. Suppose 0 = -2*f - 2*n + u, -n + 285 = 5*f + 2*n. Calculate the remainder when f is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/8)\/(2\/(-24)). Let j = -3 + l. Let d = -335 + 334. Sort -6, j, d in descending order.\nAnswer: j, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a micrometer in nanometers?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 103 + -103. Let p be (8 + -1 - 2) + -3. Find the third derivative of 13*y**p - 7*y**2 - 13*y**4 + 8*y**2 + u*y**2 wrt y.\nAnswer: -312*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5548007 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59170.84 decades to centuries.\nAnswer: 5917.084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 + -58. Let f(t) = t - 3. Let p(w) = 2*w - 4. What is g*f(q) + 2*p(q)?\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qcma when four letters picked without replacement from qccam.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1784, 7195, 16218, 28853, 45100, 64959, 88430?\n\"Answer: 1806*t**2 - 7*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, 0.4, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 22947738 to the power of 1\/2, to the nearest integer?\nAnswer: 4790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*j = -2*j - 152, 4*w + 4*j - 328 = 0. Let g = -1 + w. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from klptplopptltptptg. What is prob of picking 1 o, 1 t, 1 k, and 1 l?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/56 - 57\/133. Let k = 21 + -21.3. Let g = 0 + 0. Which is the third biggest value? (a) g (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 - 1. Suppose -c - 5 = -2*j, c + 6*j - 2*j - 13 = 0. Let t be (1 + c\/(-2))*-2. Is o greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*u**2 + 0*u**2 + u**2)*(3 - 1 - 3) + 3*u**2 + 2 + u - 7 + 6.\nAnswer: 7*u**2 + u + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.97 + -0.03. Let g = -5.4 - -5. Let a = 9\/22 + -19\/154. What is the nearest to a in -1, i, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.2 + 2. Let q = -6099 + 6098. Which is the nearest to 2? (a) 1.4 (b) z (c) -2 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9886?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (122 - -1)*((-38)\/95)\/((-24)\/(-1660)). Which is greater: -3404 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**2 - 282*h - 7. Let n(s) = 6*s**2 + 850*s + 18. What is 8*b(k) + 3*n(k)?\nAnswer: 2*k**2 + 294*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n\/(n**(-1)\/n*n)*n*n))\/n)\/n)\/n)\/(n*n\/((n\/n**(-3\/4))\/n)*n)*(((n*n**(-6\/7))\/n*n*n)\/n)\/(n**(1\/2)*n*n) assuming n is positive.\nAnswer: n**(-297\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -37*u**2 + 6*u - 18. Let s(f) = 73*f**2 - 13*f + 39. Let d(a) = -13*h(a) - 6*s(a). Let c(n) = 10*n**2. Calculate d(c(q)).\nAnswer: 4300*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1375 and -282 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*o + 12 = -2*o, 5*s + 30 = -4*o. Let f be 162\/(-24)*16\/s. Let k = 20 - f. Solve 3 = -5*w - k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 5\/6 (b) -6 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 - 2*n**2 + n**2)*(-2*n + 3*n + 2*n)*(14 - 15 + 8*n**2 + 52*n**2).\nAnswer: -540*n**5 + 9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 y when three letters picked without replacement from mqgyjpm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*f - f + 0*f)*(-1 + 0 - 1)*(-1 + 1 + 3*f).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 3 - 2. Let n = -10 - y. Let k(q) = -46*q - 7. Is k(n) 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 11:41 AM and 8:05 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*t**4 + 2\/11*t + 6\/11*t**2 + 6\/11*t**3 + 0.\nAnswer: 2*t*(t + 1)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whw when three letters picked without replacement from {s: 2, w: 4, h: 5}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1, 24, -275, -2, 0.25 in descending order.\nAnswer: 24, 4, 0.25, -1, -2, -275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79 times -8.876?\nAnswer: -701.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 17*w - 22. Let i(f) = f**3 + 5*f**2 + 4*f + 2. Let n be i(-5). Let c be (n - -4) + (-3)\/3. What is the remainder when 30 is divided by y(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1439 + 39994.\nAnswer: 38555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 + 5752230441630.\nAnswer: 5752230441658","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/2 + (-3)\/(-6). Let h(y) = -y - 10. Let p be h(m). Suppose -3*j - 10 = -g, -4*j + 2*j = -4*g. Does j = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2\/9, -5\/3, -2198.\nAnswer: -2198, -5\/3, 2\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 43*m**2 + 87*m - 148. Calculate a(-45).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1054.107 + 0.107. Let r = 1053.9 + j. Sort r, -10.7, 5 in descending order.\nAnswer: 5, r, -10.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3)\/y*y)**(-2\/73) assuming y is positive.\nAnswer: y**(6\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**5\/(i**(-4))**(15\/8) assuming i is positive.\nAnswer: i**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -34*n**2 + 0 + 0*n - 1\/5*n**4 + 87\/5*n**3 = 0?\nAnswer: 0, 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 3*u - 3. Let m be p(-3). Suppose -4*c + m = -c. Solve -15 = -2*x + c*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 145\/708 and 113\/108?\nAnswer: 6372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**5 + 684950*b**3 - 1386170*b wrt b?\nAnswer: 60*b**3 + 4109700*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21237 divided by 4.\nAnswer: -21237\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 + 21*q + 101. Let m be o(-7). Suppose 5*i = t + 83, 7 = -m*i + 4*t + 67. What is the highest common divisor of 688 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = 23*w - 5*w + 76. Which is the fifth biggest value? (a) 5 (b) -2\/13 (c) 0 (d) -0.06 (e) w\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 15 = 2*g + 4, 34 = -4*g - 2*p. Let y(s) = 2*s**2 + 6*s + 1. Let r be y(-5). Let h = r + g. What is the remainder when 34 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/(q**(-7)*q)*q)\/q)\/q**(2\/9)*(((q*q**1)\/q*q)\/q)**(-27))\/(q**(2\/7)\/(q*q**(1\/3)\/q*q)*(q**(2\/11)\/q)\/q**(-4\/9)) assuming q is positive.\nAnswer: q**(-4343\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -608 + 50392*a + 608.\nAnswer: 50392*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -297958, -297806, -297554, -297202, -296750?\nAnswer: -296198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 2*k + 20292*o - 20289*o, -4*o = -k - 54 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 70.6864. Round l to two dps.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + 0.8. Let o = 5 + -9. Let g = o - -4.1. Which is the closest to p? (a) 4 (b) -3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 61 - 105. Calculate the remainder when 65 is divided by (-10)\/(-4)*z\/(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-12))\/(6\/(-24)). Suppose -3*l + 2*c + 3256 = -6751, 2*l - 6680 = -x*c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, u: 8, a: 2}. What is prob of picking 2 a and 2 o?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -47*x**6\/40 - 112*x**5\/15 + x**3\/2 + 1723*x**2. Find the third derivative of o(a) wrt a.\nAnswer: -846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.012971 to three dps.\nAnswer: 8.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m + 18. Let d be o(-13). Solve -d*a - 31 = -6 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*b + 2153 - 2188 + 168*b - 43*b in the form i*b + n and give n.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) -56 (c) 324 (d) 4 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 4.3 (c) -29 (d) 5 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22*(-2 + 6\/(-4)). Let j = 77 + m. Suppose j = -5*n - 0. Solve 5*q = -n - 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 266*i**2. Let n(o) = -o. Give n(g(k)).\nAnswer: -266*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(576))\/(3*sqrt(12)*2) + (sqrt(3) + (sqrt(3) - (sqrt(3) + 1 + -2)))**2 + sqrt(48) + -3.\nAnswer: 1 + 16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -243*l + 2423. Give n(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 2*n + 7 = 3, -4*d - d - 5*n - 10 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -39 - -77\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -5*r + 5 - 0, 4*r + y + 13 = 0. Let m(v) = -4*v + 1. Give m(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34050970567 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1.3 or -11612953?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -4, -3, 6, 29, 72, 141, 242, 381?\n\"Answer: j**3 - 2*j**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of -1361*k**6\/6 + 9*k**2\/2 + 39*k + 1042. What is the second derivative of b(m) wrt m?\nAnswer: -27220*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 482 and 4?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/6 + 0 + 4\/(-24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15501200 divided by -27100.\nAnswer: 572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 94 + 133 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172 - 689 - 152 = -26*n + 33 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*a - 74*a - 25 = 0. Suppose 0*i - 400012 = -a*l + 4*i, 2*l + 4*i - 159988 = 0. Round l to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d3ad9 (base 14) in base 11?\nAnswer: -319017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-4 - -2 - (102 + -99)) + -1.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/18 + 2713\/14. Let x = q - 193. Which is smaller: x or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -37*k**2 - 2*k**3 - 102*k**2 - 16*k**2 + (0*k + k**2 + 0*k)*(-3*k - 5*k + 4*k) + 2*k**2 + k**3 - 2*k**2.\nAnswer: -5*k**3 - 155*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:23 PM?\nAnswer: 2:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4 = -2*n + 4, -5*i + 4*n = -29 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sds when three letters picked without replacement from dscc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 32. Solve n = -5*t + 5*g + 25, 0 = 4*t + g - 2*g - 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -107263.\nAnswer: -214526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -281 - -1?\nAnswer: -280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**(-16)))*j*(j*j**(-5)\/j)\/j*j)\/(j*j\/(j\/(j*j\/j**(-21\/4)))*j*j*((j**(2\/5)\/j)\/j)\/j*j) assuming j is positive.\nAnswer: j**(87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 19571 + 11?\nAnswer: 19582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -156 - -60. Let q = -19 - n. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*v - 16. What is the greatest common factor of 40 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3034 = 11*l + 108. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/27445 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 32*p**2 + 93*p - 174. Let m be w(29). Let s(t) = -5*t**2 - t + 20. Let u(v) = 9*v**2 + 2*v - 39. Let r(k) = 11*s(k) + 6*u(k). What is r(m)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 2*w - 4. Let v be s(-7). Let k = v - -44. Put -4, -5, k in increasing order.\nAnswer: -5, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 132066?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a century in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -27*f**2\/2 - 570245031*f - 12043681310377443\/2 = 0. What is f?\nAnswer: -63360559\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 13*s = -3*s - u - 4*u + 553, -4*s - u + 99 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 36*m + 29*m - 135*m - 6 + 33*m + 36*m. Let f(i) = 5. Let t be 0 - (3 - 1)\/(-1). What is t*n(b) + 3*f(b)?\nAnswer: -2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus 16112689691?\nAnswer: 16112689684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142*u**6 + 678*u**3 + 287528*u**2.\nAnswer: -17040*u**3 + 4068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - -877. Suppose -3*s + 281 = 3*d - 250, 5*s - 4*d - o = 0. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/3*3\/6. Suppose -2*x = -k*x. Suppose -m + 74 + 223 = -d, x = -m + 2*d + 301. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 4, s: 8, j: 1, p: 4, q: 2}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of -2*z**3 - z + 1955. Let a(v) = -35*v + 3. Give m(a(s)).\nAnswer: 420*s - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-2\/23)*(c*c*c*c**(-14))\/c)\/((c\/(c*c**17))\/((c**(-2)\/c)\/c)) assuming c is positive.\nAnswer: c**(48\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2 = -0*l. Suppose -3*r - 5*m + 10 = -5, 3*r - 5*m + 15 = 0. Let z be -5 - -2 - (l - r). Is 1 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.82 - -0.18. What is the third smallest value in 1\/7, -3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**2 - 2 - 3*v**2 - 3*v**2)*(-58 - 24 - 25)*(2 - 5 - 3).\nAnswer: -1284*v**2 - 1284","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -2*a. Let p(o) = o**3 - o**2 + 13. What is the tens digit of p(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zezzlzzezzzzzll. Give prob of sequence zell.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 3\/7 of a week?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2069*w. Let h(s) = 2*s. What is t(h(c))?\nAnswer: 4138*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.119? (a) 3\/4 (b) 56 (c) -6 (d) 2\/29 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4249 (base 10) to base 3.\nAnswer: 12211101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*l = 1, 0 = -2*x - 3*l - 8 + 21. Suppose s - 2408 = 11*h - 14*h, x*s - 10 = 0. List the prime factors of h.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 124520, 249504, 374488, 499472, 624456?\n\"Answer: 124984*x - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 78*l**2 - 51*l - 340. What is the tens digit of o(80)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 776951?\nAnswer: 7, 17, 6529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2275 - -3186. Suppose r = u - 5*h - 1284, 0 = -3*u - h + 6569. Round u to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 4*x**2 + 2*x - 5. What is the remainder when a(5) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -3*h - 14, -5*h = -m + 1 + 13. Sort 0.5, 0.02, m in descending order.\nAnswer: m, 0.5, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**2. Let p be (-2)\/(2\/(-3))*(-144 + 145). Let d(i) be the second derivative of 0 + 0*i**2 - 1\/3*i**p - i. Determine d(r(t)).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -503*d + 503*d - 5*d**3 - 12*d**2 wrt d?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 553299?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 3, w: 5, j: 4}. Give prob of picking 1 j and 2 v.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24262548.\nAnswer: 2, 3, 2021879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 4*k, -3*h - 2*h = 2*k + 14. Let n be (-1)\/(-3)*(h + 8). Let g be 2\/(-3) + 114\/9. Solve -n*d = -5*d - g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004839181 to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (464\/160 + -3)\/(24\/2640)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 127 + 18 + 23)*(5 - 31 - 3*n - 17).\nAnswer: 441*n + 6321","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.07?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 10010.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15.529506663 and -1?\nAnswer: 14.529506663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/11 - 9*r**3 + 97*r**2\/11 + 9*r - 98\/11.\nAnswer: (r - 98)*(r - 1)**2*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**2 + 2*o + 1. Let r be h(-2). Let q = -0.2 - -0.4. What is the biggest value in r, 0.1, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x. Let d(b) = 228532*b**2. Determine l(d(f)).\nAnswer: -914128*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*j**2*q**3*t + 5*j**2*q**3 - 43*j**2*q**2*t + 3*j*q**3 - 2 wrt t.\nAnswer: -2*j**2*q**3 - 43*j**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 1311*w - 16164.\nAnswer: 3*(w - 449)*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -146780668575 - -0.05464.\nAnswer: -146780668574.94536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 + 29 - 27 + 2*l + 10*l in the form w + q*l + g*l**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 12. Let y be a(-11). Suppose -t + 3*g + 4 = 5, -t + y = 3*g. Let j = t - 3. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (1 - -2) + -20389 + 20492?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 622 = 2036. Suppose -q = 17*i - 5137. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 152\/(-6) + (-1)\/(-3). Let f(u) = 12*u - 8. Let l be f(5). Let o = p + l. Is o a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5739980 divided by 286999?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 129.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16728 and 1428?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1532 + -1530. Let t(m) = -m**3 - 7*m**2 + 7*m - 6. Let v be t(-8). Suppose v*h = -0*h. Solve h = -j*k - 0*k - 4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15435?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**6\/180 + 11*g**3\/6 - g**2. Let o(c) be the first derivative of u(c). Find r such that o(r) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180, 360, 540?\nAnswer: 720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f + 3*h - h - 4, -20 = -5*h. Let y = f + -2. Let d = 7 + y. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -412*x**2 + 42*x + 1 wrt x.\nAnswer: -824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287057187.\nAnswer: 3, 19, 1678697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -10*v - 2. Let q be p(-4). Let j = q - 26. Let a be (-35)\/(-6) - (-2)\/j. Solve -2*w + a + 2 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4*k + 10, 12 - 18 = k + 2*t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/f**(2\/15))*f**(-11\/4))**(38\/3) assuming f is positive.\nAnswer: f**(-2983\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 3\/7 (b) 2.1 (c) -0.2209\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 610, 2421, 5444, 9685, 15150, 21845, 29776, 38949?\n\"Answer: f**3 + 600*f**2 + 4*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 0 + 0)*(-2*t + 1 - 1)*(-3 + 2 - 5).\nAnswer: 24*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21847 + 899*f - 21847.\nAnswer: 899*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 + 32*a - 96.\nAnswer: -2*(a - 12)*(a - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.624 - 24.676. Let w = 25 + z. Let a = 13 + -8. Sort a, 1\/3, w in increasing order.\nAnswer: w, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12181 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.09 - 1.195. Let c = a - 0.02. What is c rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20.51 and -5.\nAnswer: -102.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-4 + -3) + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -338 - -214. Let y = 124 + h. Is 12\/31 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 7890*t + 7893.\nAnswer: -3*(t - 2631)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4206489?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 668d (base 16) to base 13\nAnswer: bc46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c**2 - c - 1. Let j(q) = -q**3 + 3*q**2 + 2. Let f be j(3). Suppose -r + 1 = -f*r. Is 7 a factor of a(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {n: 1, d: 4, o: 3}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2596?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -560*n = -258*n + 199*n - 10020 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 41 + 813 = 3*x, -4*x = -t - 1037. Let m = -141 + x. Is m a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 6*a + 2. Let s be z(6). Let u = -17 - s. Solve -7*o + u = -5*t - 3*o, 4*o = 12 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 4*r**2 + 7. Let n be a(5). Let o = -12 - n. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128*-256.56\nAnswer: 32839.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(75))\/sqrt(5))\/(sqrt(30)\/(sqrt(42)\/sqrt(7))))**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + u + 4. Let y be b(-4). Let r be 8\/(-6)*3\/(-1). Let v = 13 - r. Solve -y - v = 5*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -596*b**2 + b. Let r(g) = 30*g - 18. Calculate r(s(h)).\nAnswer: -17880*h**2 + 30*h - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ammgnmmmsansauansam. Give prob of picking 1 s, 1 a, and 1 m.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + -0.3. Let m = 113 - 562\/5. Let f = 4\/7 - 26\/21. Which is the nearest to 0? (a) f (b) s (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-4)\/2) + -6. Let p(l) = -4*l**3 + 4*l**2 - 2*l + 10. Let o(q) = q**3 - 1. Let r(a) = 5*o(a) + p(a). What is the units digit of r(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 6*l - 13 = -3*l, 0 = -4*x - 4*l - 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u + 4*u - 6*u. Let p be 0 + 4\/(-6) + ((-222)\/18 - -10). Let z(y) = -11*y. Determine p*z(f) + 5*b(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5 = -5*a - 3, -4*b + 4 = 2*a. Suppose -3*w = 2*c - 226, b*c = 4*w + w - 402. List the prime factors of w.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5880672 and 115\/36.\nAnswer: 5880672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037881891 rounded to 6 decimal places?\nAnswer: 0.003788","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/162 and 44\/81?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5 = -3*r, 35 = q - 4*r. Solve 0 = -3*i - 12*i - q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 9*l + 23. Let y(w) = w**3 - 9*w**2 - 23*w + 135. Let d be y(10). Determine u(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1529 - -1590. What is the remainder when 303 is divided by h?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16081672 and -21.\nAnswer: -16081693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 1120*g**3 + 5*g**2 - 10*g + 10. Let x(n) = -1119*n**3 - 4*n**2 + 8*n - 8. Calculate 4*s(c) + 5*x(c).\nAnswer: -1115*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let a(t) = 3*t + 1. Let n(v) = -a(v) - 4*m(v). Let r(q) = q - 1. Calculate 7*n(s) - 6*r(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -4)*(-26)\/4. Let x = 13 - m. Solve -4*c = -3*g + 7*g + 4, x = -2*c - 3*g - 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - 10*l**2 - 8*l + 12. Let y be w(11). Let c = y - 39. Solve 0 = -2*o - 4*i - 18, -o - 2*i + 21 = -c*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t**2 + 4*t + 5. Let c(g) = -g**2 + 3*g. Let j(u) = -5*c(u) + d(u). What is j(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1807.1 rounded to the nearest ten?\nAnswer: 1810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3692 and 162.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llnzzzln. Give prob of sequence nlzl.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2260, 2, 3, -4 in increasing order.\nAnswer: -4, 2, 3, 2260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**6\/120 + t**5\/30 + 11*t**4\/24 - t**3 + 131*t**2. What is the units digit of n(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63\/(-35))\/(72\/240).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.348 - -0.052. Which is the third smallest value? (a) 0.2 (b) m (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, t: 7, i: 5}. Give prob of sequence bi.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(21) - (sqrt(21) - sqrt(3024)*1))\/(sqrt(343) - (sqrt(343) + -2*sqrt(343))) + (sqrt(108)\/(sqrt(6)\/sqrt(2)))\/((1*sqrt(132))\/sqrt(11)).\nAnswer: -5*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 153252 (base 6) to base 4.\nAnswer: 3222200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a863 (base 14) in base 13?\nAnswer: -392a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 + 3*x)*(1 - 1 + x**3) - 40*x**4 + 43*x**4 + 6 - 26*x - 3 to the form n*x + f*x**4 + w*x**3 + r*x**2 + c and give f.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -11*q + 15 + 0*q + 17*q - 3*q. What is p(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 30*n + 277. Let d be 0 + -10 + 8 - 7. Let z be m(d). Let w(t) = t**2 - 11*t + 6. What is w(z)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o + 8. Let n be (-48)\/18*36\/8 - -4. Give a(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0, 3\/8, 3, -2.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 3:23 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 467147 or 7007198\/15?\nAnswer: 467147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11432753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3181.9 plus 32?\nAnswer: -3149.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2183*x + 13298 = -19542 - 30467 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.27 - 0.17. Sort -2, d, -3\/5 in descending order.\nAnswer: d, -3\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5 - 18*y**4 - 36*y**3 - 30*y**2 - 9*y = 0. Calculate y.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -398, -662, -924, -1184, -1442, -1698?\nAnswer: -1952","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 - 11*r**2 - 10*r - 20. Let s be f(12). Suppose 0 = -6*a + s + 14. Suppose y = y - a*y. Solve -2*b + 4*h + 20 = y, -h + 3*h - 14 = -5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1, -107 in decreasing order.\nAnswer: 1, -1, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.644946 rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(32).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 19 = 3*f - 19, -4*f = 5*v - 190. Let s = v + -66. What is s rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -532566 (base 8) in base 9?\nAnswer: -300461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5974, -5871, -5644, -5281, -4770, -4099?\nAnswer: -3256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2156424 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x + 2*x + 0*x)*(2*x + 2 + 2 - 5).\nAnswer: 12*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 630 and 360?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*96\/(-112)*(-10)\/25*-5?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -156*x**3 + 144*x**2 + 144*x + 1. What is y(-1)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/((-8)\/(-6)) + 1. Let p be (-2)\/(v + 5 + -7). Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26 - 81 + 857)*(0 - 1 + 0)*(4*o - o - 5*o).\nAnswer: 1500*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.1 (b) 5 (c) 148 (d) -1\/3 (e) 0.4 (f) -8.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 621258*f - 440170 wrt f?\nAnswer: 621258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000111548 rounded to 7 dps?\nAnswer: 0.0000112","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z = 75 + 68 - 159 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 90 by 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 177472971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 54 and 86382.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((330\/(-5))\/6)\/((-5)\/(-5))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9931457 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 5 = -5*b, -y - 3*b + 7 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 5, b: 6, a: 5, i: 2, d: 1}. What is prob of picking 2 k?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 4\/7, 1, -0.9?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:11 AM and 6:02 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (325 + 158 + 483)*(3*a - 2*a + a) + 18 - 18 - 8*a to the form n*a + f and give n.\nAnswer: 1924","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 l, and 1 v when four letters picked without replacement from {e: 1, l: 2, w: 1, x: 2, v: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 27584 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37914 and -0.08.\nAnswer: 37913.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 73453, 69311, 65165, 61015, 56861?\n\"Answer: -2*i**2 - 4136*i + 77591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u + 9*u + 8*u + (-148 - 168 + 168)*(0 + u + 0) to y*u + l and give y.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 95 + 336 = 0. What is the third derivative of -2*o**3 + 2*o**3 - 56*o**4 - n*o**2 - o**6 + 383*o**2 wrt o?\nAnswer: -120*o**3 - 1344*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 5*k = 14 + 21, -k = 5*v + 21. Let s(b) = 56*b - 10. Let y be s(9). Let r = -1499\/3 + y. Which is smaller: r or v?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 618*x**4*z**3 + 3*x**4 - 62*x**2*z + 6*x*z**3 wrt x?\nAnswer: 14832*x*z**3 + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nhhyyccyyccyyyccyycc. Give prob of picking 1 y and 1 c.\nAnswer: 36\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 2603*f**2\/7 + 91103*f\/7 - 10 = 0. Calculate f.\nAnswer: -35, 2\/2603","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 597, 1312, 2269, 3444, 4813, 6352?\nAnswer: 8037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187 - -220. Suppose r*f + 3472 = 41*f. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6921463723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - y - y)*(-3 + 5 - 4) + 3*y - 2*y + y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 19891 = 6*m + 19810, 0 = 5*q - 3*m + 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 - 11*y**2 + 11*y - 10. Let i be o(10). Suppose i = -2*a + 27 + 7. Calculate the remainder when 50 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 256379\/30 - 8543. What is the common denominator of -29\/6 and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32031311 + 10?\nAnswer: -32031301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -5. Suppose 4*y + 9 = -7, m*x - y = 16. Suppose w - 2*q = 41 + 27, x*w - 3*q = 277. Calculate the remainder when w is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*y - 91*y - 3*q + 21 = 0, 3*q = 5*y + 7*y - 135 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 3:37 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -438300*c**4 - 118*c**3 - 2*c - 7517251 wrt c?\nAnswer: -5259600*c**2 - 708*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -7. Let t = 2 - 2. Suppose u*v - 16 + 4 = t. Let g(p) = p**2 - 4*p - 2. Determine g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19 - -35. Suppose -5*v + 9 + u = 0. Suppose 3*w = 2*d - 5, 4*d - 10 = -d + v*w. Solve -d = -2*y + 3 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 153*g - 1137. What is m(-7)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ppuup.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -4*y**2 + y + 1. Let p(v) = -7*v**2 + 2*v + 2. Let g(j) = 5*f(j) - 3*p(j). Let o(n) = -6*n**2 + 6*n + 7. Determine -14*g(x) - 2*o(x).\nAnswer: -2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-409)\/(-2454))\/((-2)\/(-20)))\/(1\/3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (5 + -4 + sqrt(1700)) - sqrt(1700)) + sqrt(1700) + sqrt(1700))**2 + 5.\nAnswer: -20*sqrt(17) + 1706","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -5 - 1 + 0 - 3 - 4*s. Let i be o(-4). Solve -r + 5*l - l = i, -1 = r - l for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 1. Let l(n) = 10*n**2 + 2. Let k(p) = l(p) - 2*t(p). Let o(x) = x. Calculate o(k(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 448\/377 + -30\/29. Which is the smallest value? (a) 3 (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 167624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.5 (c) -2\/3 (d) 1\/6 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1214, -1239, -1292, -1385, -1530?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in 2, 0.4, -10.76?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4 + (-3 + (sqrt(500) - (1 + sqrt(500))) + sqrt(500) + 3 + -3)*-3.\nAnswer: -30*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 579295 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 1. Suppose -4*m + 4 + 4 = 0. Determine u(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 4) to base 16\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 2 - 4607*l + 1.\nAnswer: -4607*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 + 14 + -17?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1226*p**3 - 7*p**2 + 2*p + 1. Let b be l(2). Round b to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 9) to base 7.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*h**5\/13 + 3530*h**4\/13 + 2722*h**3 + 9190*h**2 + 127248*h\/13 - 14760\/13 = 0. Calculate h.\nAnswer: -82, -5, -3, 2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -9. Let l(c) = -c**2 + 2*c + 3. Let q be l(3). Let g = 12 - 8. Solve q = -s*r + g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 11:45 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1539*z - 1919*z - 2692*z.\nAnswer: -3072*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 2*i = 0. Suppose 4*x - 51 = -3*r - i*x, -4*x = -2*r + 14. Calculate the highest common divisor of 26 and r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3075993, 3075992, 3075991, 3075990?\nAnswer: 3075989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5\/6)*o**(-1)*o\/(o*(o\/o**6)\/o*o)*o**7 assuming o is positive.\nAnswer: o**(61\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48481\/3 + (8\/(-12))\/((-2)\/(-1)).\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 74\/(-2)*(5270\/(-124))\/(-85)\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 243983877?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1137019758?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9758*10.\nAnswer: 97580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/1)\/(-3)*(-8 + 4). Suppose v + 21 = 5*s - 4*s, 5*v = g*s - 88. Let f be 0*(2 - (-3 - -4)). Solve -5*n - s - 5 = 3*h, 2*h + 2*n + 12 = f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-105)\/14 + 8)*6\/(-12). Let z = 23 + -24. Which is the third biggest value? (a) n (b) z (c) -4 (d) -16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 17690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2))\/(((-520)\/250)\/(-13)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2470\/(-2002) + 2\/14?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.1, -1, -0.245 in increasing order.\nAnswer: -1, -0.245, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 17 = -w - 0*w, 2*s = 3*w - 59. Let u = w - 17. Find the third derivative of -4*l**3 + 2*l**2 + 4*l**2 + 0*l**3 - u*l**2 wrt l.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -22686088 - -4?\nAnswer: -22686084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 8560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 8 - 1)*(2 - 1 - 3 + 2*c)*(5*c**2 + 3*c**2 + 5*c**2).\nAnswer: -182*c**3 + 182*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, -1, -38 in descending order.\nAnswer: -1, -5, -11, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2121 + -2063. Let y be (0 + 1)*(-2 + 11). Let r = d + y. Calculate the remainder when r is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 103*b**2 + 19*b + 15. Let d(s) = s**2 + 1. Let j(i) = c(i) - 3*d(i). Let m(x) be the first derivative of j(x). Is m(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21961725 divided by -1?\nAnswer: -21961725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -37 (b) 605 (c) 0.5 (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.25 (b) -3 (c) -734\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6550 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.497 - -198?\nAnswer: 196.503","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) 22 (c) 18 (d) -7 (e) 19 (f) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 9:59 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2 = -2. Let z = -0.111 + 38.611. Let o = 39 - z. Which is the smallest value? (a) -1 (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (-3 - -5)) + (13 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 3:52 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8113616*t + 1. Let g(u) = 8*u**2. What is b(g(o))?\nAnswer: 64908928*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 85430675 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 7 (b) 203 (c) -1 (d) 227 (e) -5 (f) 1\/3 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -16, 5, -9.\nAnswer: -16, -9, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 68\/9 (b) -3 (c) 3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 971 at most -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -14*f + 51. Let i(d) = -5*d + 12. Give 11*i(n) - 4*s(n).\nAnswer: n - 72","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 73\/4 of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*b**2 + 2*b**4 - b**4 + 4*b**2 wrt b.\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/215 or 1?\nAnswer: -18\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-35) + (-720)\/(-14). Suppose 2*i - 75 + k = 0. Solve -18*o - i = -22*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v = 5*v. Let j(i) be the second derivative of 1\/5*i**6 + 0*i**2 + v*i**5 + 0 + 1\/2*i**4 - 3*i + 0*i**3. Find the third derivative of j(l) wrt l.\nAnswer: 144*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -86746, -173562, -260430, -347344, -434298, -521286?\n\"Answer: q**3 - 32*q**2 - 86727*q + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 less than -5\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 5*a - 9, -2*d + 3*d - 4 = -2*a. Suppose d*t - 20 = -16. Let v(x) = 5*x**t - 22 + 22 + x**2. Let g(u) = -2*u**2. Give v(g(i)).\nAnswer: 24*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - -3) + (2 - 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1067*n**5 + 2*n**4 + 7*n**3 - n**2 + 81*n + 68?\nAnswer: 64020*n**2 + 48*n + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*r - 46372 = 0, 3*v + r + 77298 = -2*v. What is v rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3173252\/1103 or 2877?\nAnswer: 2877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 14 = -3*n. Suppose -n*j = -2*j - 20. Solve -j*z + 15 = -z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5043*a - 46909. Determine u(-10).\nAnswer: 3521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 3 = 5*j - 3*u, 4*j - u - 6 = 0. Suppose -12 - 7 + 19 + 3*y**3 - 6*y + 3*y**j = 0. What is y?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1088) - (sqrt(17) + sqrt(170)\/(sqrt(10) - sqrt(250)) - sqrt(17)))**2.\nAnswer: 16337\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2847 - 5403. Let l be 6 + -8 - q\/1280. Is l < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1489538008.\nAnswer: 2, 7, 37, 571, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-6)\/((s**(-5)*s)\/s))\/(s**(1\/8)\/((s**6\/s)\/s)))\/((s*s**(1\/2))**(1\/71)*(s*s**7)\/s*s**(1\/2)) assuming s is positive.\nAnswer: s**(-2639\/568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q**3 - 11*q**2 + 7*q - 7. Let h(p) = -p**3 + p**2. Let w(o) = -d(o) - 4*h(o). What is w(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1239772 and 710332.\nAnswer: 4412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*3541\nAnswer: 354.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 235*w + 44. Determine i(-1).\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*12\/100*5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 6 = -0. Let r(d) = -d**3 + 8*d**2 + d + 1. Is r(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.001+-27\nAnswer: -26.999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 4*w - 1. Let q(d) be the second derivative of -13*d**4\/12 + d**3\/3 + d**2 + 133887*d - 2. Determine q(w).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = l + o, 4*o = 5*l - 16 - 8. Let s be -2 - (0 - 3 - l). Let u = -20 + s. Is -14 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 338*b + 267698*b**4 - 272527*b**4 + 202*b wrt b?\nAnswer: -57948*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1632914?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**2 - 7*o - 5. Let v = 3266 - 3270. Determine j(v).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -11 - ((-10 - (3 + -1)) + 11)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/7972436 and -77\/35875962?\nAnswer: 71751924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -213460, -426786, -640110, -853432, -1066752, -1280070, -1493386?\n\"Answer: c**2 - 213329*c - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 122.4 - 96. Let o = x + -22.4. Put o, -3, -56 in decreasing order.\nAnswer: o, -3, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of -7*p**4\/2 - 8*p**3 + 109*p**2 - 60*p - 530. Suppose r(t) = 0. What is t?\nAnswer: -5, 2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**6\/120 + o**5\/20 - 2*o**3\/3 + o**2 + 8*o. Let u(c) be the first derivative of i(c). Solve u(h) = 0 for h.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6162881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -11. Suppose s - l = 2*l + 17, 5*s + 3*l - 103 = a. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -683695114, -683695112, -683695110, -683695108, -683695106, -683695104?\n\"Answer: 2*r - 683695116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j*j**(-1))*((j*(j*j*(j**(1\/4)*j)\/j*j*j)\/j*j)\/j)\/j)\/(j\/j**4*j*j**9\/j))**(3\/5) assuming j is positive.\nAnswer: j**(-33\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18 - -18.3. What is the third biggest value in -0.2, o, -0.03?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**3 - 74*l**2 - 3*l - 109. Calculate b(-37).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 6:23 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + 9 + 2 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3\/8, 2\/7, -0.1, -0.18?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2028.5, 0.3, 2\/21, 1\/4, 4?\nAnswer: 2028.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713655 is divided by 59469.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.4424482 rounded to 0 decimal places?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -2*g + 16. Let f be ((-54)\/(-72))\/((-33)\/g). Which is the third smallest value? (a) -1\/4 (b) -1 (c) -3\/4 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 divided by 1.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 278 = l, -4*l = -3*a + 148 + 254. Let b be (17 + -1)\/(1\/(-8)). Let v = a + b. Is 40\/3 bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43780 + -31.44?\nAnswer: -43811.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.35 - -12.15. Let s = -11 + t. Let x = 0 + -1\/8. Which is the third biggest value? (a) s (b) 0.3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.61*-0.5.\nAnswer: 0.805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 150 and 1879230?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 divided by 5?\nAnswer: 644\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 + -6 + -4)*-159. Suppose n + 775 = 5*y, -3*n - i = 2*y - 5*y. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s + 7*s - 4*s - 38*s**3. Is 5 a factor of w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 300, 288, 262, 216, 144, 40, -102, -288?\nAnswer: -524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000132590276 rounded to 6 decimal places?\nAnswer: -0.000133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002383 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 8*r**3 - r**2 - 4. Let g(f) = 7*f**3 - f**2 - 3. Let t(a) = a - 5. Let x be t(0). Calculate x*h(b) + 6*g(b).\nAnswer: 2*b**3 - b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1)*(2*d - 4*d + 3*d)*(1 + 0 - 3 + (-3 + 4 + 0)*(0 - 3 + 4) + 0 + 0 - 4).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/6)\/((-250)\/375)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/55841 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, g: 4, p: 1, h: 1, a: 1}. What is prob of picking 1 h, 2 s, and 1 p?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 368 - 359. What is the remainder when 14 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -2*j**6\/105 - 202*j**5\/105 + 59*j**4\/8 - 78*j**3\/7 - 1077*j**2 - 5*j. Solve k(z) = 0 for z.\nAnswer: -52, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7}. What is prob of picking 3 l?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14505926 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: What is 317 divided by -2?\nAnswer: -317\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 2*k - 6, 5*q - 6*k + 5*k + 9 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/3 + 188*o - 26486\/3.\nAnswer: 2*(o - 41)*(o + 323)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -26*x**2 + 3751*x - 15537. Calculate u(140).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*6 - (sqrt(26)\/sqrt(2) + sqrt(13) + -3))**2.\nAnswer: 132*sqrt(13) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 112?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2182, -6160, -10196, -14290, -18442?\n\"Answer: -29*n**2 - 3891*n + 1738","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*((sqrt(228)*1 - sqrt(228)) + sqrt(228) + sqrt(228)) + sqrt(228) - sqrt(228))\/(6*-1*sqrt(12) + sqrt(12)))**2 + 0)*6.\nAnswer: 1824\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 332002020 - 21023?\nAnswer: 331320331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*n - 30 = -33*n. Let k(c) = -6*c + 65. Let l be k(n). Solve 0 = 2*b - l*b + 6, 5*b - 6 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4760011 is divided by 1087?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -210990*r**4 + 211017*r**4 - 495*r**3 - 1110*r**2 - 3609*r**2 + 3*r**5 = 0 for r.\nAnswer: -11, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 10:30 PM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7349 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1055 or 7105?\nAnswer: 7105","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 2153552260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 2*b = 8, -7*b + 3273521 - 3273507 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 8, n: 2, u: 2, b: 4}. Give prob of picking 1 b and 1 u.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(117)*5 + sqrt(117))\/(sqrt(108)\/sqrt(3)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n + 2*n - 7*n. Let k(a) = -2*a**2 + 5. Give k(u(m)).\nAnswer: -2*m**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of -z**4\/6 + 3*z. Let u(f) = 3*f**2 + 3*f**2 - 4*f**2. Determine j(u(d)).\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 72699 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1776 divided by 222\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -8 - 10. Suppose 3*s - w = -0*s. Suppose 4400001 = o - 0*o - j, -s*o = 5*j - 8799995. Round o to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 75*o**2 + 0*o - 5 + 0*o.\nAnswer: 75*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/90)\/((-5)\/(-3))*18\/48\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 5*c + 3118, 4*c = 82*j - 86*j - 2492. Let a = -606 - c. What is the greatest common divisor of 204 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5694 from -5.\nAnswer: -5.5694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - i**2 - 11*i - 49. Let a be s(-4). Let p = 88 + a. What is the remainder when 6 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7679508248?\nAnswer: 2, 71, 1531, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-4\/7)\/((c\/c**(-3))\/c)*(c\/(c**(-1\/9)\/c*c))\/c**(-5\/3) assuming c is positive.\nAnswer: c**(-50\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7163 + 6761 + 3071)*(-6*h**2 + h**2 + 4*h**2).\nAnswer: -2669*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*i**4\/5 - 998946*i**3\/5 - 285412*i**2\/5 = 0. What is i?\nAnswer: -71353, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 + 10*r + 19. Let o be u(-7). Let n(d) = 2*d - 8. Let l be n(10). Calculate the highest common factor of o and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 16*w - 227. Let m(x) = x**2 + 13*x - 13. Let i be m(-15). Let d = i - 11. Solve 5*b - y = -w + 3, -y = 2*b + d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22 - 11. Let q = c - 10. Suppose 0 = -2*j + 3*j - 1. What is the remainder when q is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.984 take away -0.3?\nAnswer: -20.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c48 (base 15) in base 4?\nAnswer: 223100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 less than or equal to -323828?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 - 60. Let w be h*(-744)\/9 + 5\/(-15). Let m be 4356\/w - (0 - 6\/10). What is the highest common factor of m and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.6 plus 4967199?\nAnswer: 4967194.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.07 - 0.07. Let q = 6 - l. Which is the smallest value? (a) -2\/17 (b) q (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w. Let p(d) be the first derivative of d - 18. Let b = 3 - 4. Let q(o) = b*x(o) - p(o). Determine q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 d when two letters picked without replacement from daaadaaaaadaradkkb.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -5*y + 11020, 3*t + 6 = -9. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43032 + -42800. Let w = -11.1 + 11. What is the second biggest value in w, -2, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2594, 11576, 26946, 48704, 76850, 111384?\nAnswer: 152306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 3*i**2 - 11*i - 72. Let t be c(9). Suppose 87*s = t*s + 2820. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00035 to five dps.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 at most 28579\/331?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2\/3, 0.5, -0.1, 211220 in descending order.\nAnswer: 211220, 4, 0.5, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 3 - 3 + 3*i**2 + 3 - 3 + (-3*i + 4*i - 3*i)*(-i + 0*i - i) - 4*i**2 + 2*i**2 - 6*i**2 to y*i**2 + l*i + b and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -0.5867\nAnswer: 0.3867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100053282?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 3) + 2 + 249. Suppose -p + 190 = -3*d, 5*d + 93 = -3*p - w. What is the smallest common multiple of (-481)\/d + 4\/(-10) and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -91*u**6\/120 - u**5\/20 + 2*u**3\/3 + 72*u**2. What are the prime factors of h(-2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1074 is divided by 185?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -q + 4, -7*h + 3*h + 5*q = -28 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 6*i**2 + i. Let t(z) = -z**2 - z. Give q(f) + 3*t(f).\nAnswer: 3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 24 = 4*f, 5*f = w + 2*w + 30. Let y(t) = -4*t - 2. Calculate the lowest common multiple of f and y(-4).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 81*a*v*w**3 - 2*a*v*w**2*y**2 + 16*a*v*w + v*w**3*y**2 - 97*v*w**3 - 543*v*w**2*y - 2*v*y**2 wrt w.\nAnswer: 486*a*v + 6*v*y**2 - 582*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-772250)\/8097600 - 4\/(-42). Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*f = -270 + 60 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 0.06, 5, 2.3, 3, 22.17?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 6*b**3 - 15*b**2 - 17. Let f = -2891 - -2897. Let r(k) = 3*k**3 - 7*k**2 - 8. Calculate f*v(u) - 13*r(u).\nAnswer: -3*u**3 + u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2695853 and 5301.\nAnswer: 24262677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 120 - 114. Calculate the greatest common factor of t and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 4. Let v(r) = r + 12. Let s be v(-8). Suppose 0 = s*g - 5*g + 42. Let j = g - 44. Let z(o) = -3. Calculate j*y(t) + 3*z(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 8:50 AM?\nAnswer: 4:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-72)\/12*15\/10.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 + (-126)\/(-35))*5. Put s, -5, -7, 1 in increasing order.\nAnswer: -7, -5, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1650407 or -1650415?\nAnswer: -1650415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4189?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0*x**2 + 1048 - x**2 - 1052 + 9*x. Let o be (-3 - -12)\/(2\/2). Determine n(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3023 is divided by 46.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 168406?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12827377, 12827376, 12827375?\nAnswer: 12827374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9118 is divided by 4532?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1caf52 (base 16) in base 4?\nAnswer: 13022331102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 10*u - 1. Let j = -8 - -13. Let s(h) = -h - 1. Let l(k) = j*s(k) + q(k). What is the units digit of l(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -157*j*v**2 - 2*v**2 - 2*v wrt j.\nAnswer: -157*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -63046, -126103, -189172, -252253, -315346, -378451, -441568?\n\"Answer: -6*w**2 - 63039*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/3)\/(p\/(p**(-3\/8)*p)))\/(p**(2\/7)*p*p*p*p\/((p\/p**4*p*p)\/p)*p))**(-39\/5) assuming p is positive.\nAnswer: p**(17459\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32.5 - 13.8. Let i = -18.9 + s. Let t = 3 + -6. What is the nearest to -1 in 0.4, t, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n**2 + 14*n - 47. Let l be k(-7). Let s = 0.4 + 0.6. Which is the nearest to l? (a) 4\/5 (b) 0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3743521 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*l**4 + 121*l**4 - 83*l**4 - 3*l**3 + (-l**2 + l**2 - l**2)*(l**2 + 2*l - 2*l) + 2*l**4 + 1 - 1.\nAnswer: -21*l**4 - 3*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1234, -2474, -3714?\n\"Answer: -1240*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = 27*w - 45. Let z be w\/(8\/37)*(-55 + 5). What is the greatest common divisor of 37 and z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a kilogram in grams?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -4*r - 11. Let o be k(-7). Let z = -15 + o. Factor 2\/3*a**z - 2\/3 - 2\/3*a**3 + 2\/3*a.\nAnswer: -2*(a - 1)**2*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 11:21 PM?\nAnswer: 2:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o = z - 2, o - 16 = -3*z. What is the highest common factor of 42 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -2\/6659 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 110 = 18. Suppose 4*r - 159 = 5*l, 0 = 5*l - 9*l - 12. Let h = r - g. Is 7 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3053282046 to the nearest integer?\nAnswer: 1451","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37444360 to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-1 + 0))\/1. Let y(o) = o**3 - 8*o**2 - o + 10. Let j be y(8). Suppose 5*c - 3 = -m - 27, -c = -j*m - 4. Sort c, 0, i.\nAnswer: c, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 - 13*b**3 + 17*b**3 - 79*b**3.\nAnswer: -77*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24 + 237 + 234*c - 159*c - 5*c**2 + 659.\nAnswer: -5*(c - 23)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 15. What is the remainder when 76 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -5 + 55 - (-22 + 8 + 9 - 5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - 1101?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*g - 119*g + w + 5 = 0, 4*g - 7 = -65*w + 64*w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74*d + 139*d - d to the form w + t*d and give t.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 184368473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -82 - -85. Let v be (p + 26\/(-14))*3\/12. Which is the nearest to v? (a) 2\/7 (b) -3 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72\/96*(-2)\/(-6)*-5\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122*o - 38*o - 7092 - 1068 = 0 for o.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1*5\/(-6)*-1\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.2 (b) -0.33 (c) 0 (d) 0.3 (e) 0.7 (f) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14571493.699991 - 14571506. Let l = s + 12.3. Round l to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + ((sqrt(2) - sqrt(128))*-3 - ((sqrt(14)\/sqrt(7))**2 + -2)).\nAnswer: 5 + 21*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*o - 32 = -71*o + 4*d, 4*o + 14 = 149*d - 144*d for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**2)**(-7))**(14\/9) assuming c is positive.\nAnswer: c**(-196\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 0*r**2 - r**2 + (2 + r - 2)*(-68*r - 91*r + 45*r)*(1 - 2 - 1).\nAnswer: 227*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1278078003 to the power of 1\/2, to the nearest integer?\nAnswer: 35750","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4430682?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -8*p**3 - 20*p - 20. Let g(u) be the third derivative of -u**6\/120 - u**4\/8 - u**3\/2 + 82*u**2. What is 3*b(f) - 20*g(f)?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.874433 micrometers?\nAnswer: 0.000005874433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 29 = -6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (28\/(-4))\/((-1)\/(-36)). What are the prime factors of (c\/(-2))\/1 - (-26)\/(-13)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5516 is divided by 1789?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -379, -386, -389, -382, -359, -314, -241?\n\"Answer: u**3 - 4*u**2 - 2*u - 374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 1072467.\nAnswer: 10724670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3199*z**2 + 222*z - 1535*z**2 - 2*z**3 - 1664*z**2.\nAnswer: -2*z**3 + 222*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 3*b - 1\/6*b**3 + 0*b**2 + 0. Let r(j) = -3*j. Give z(r(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*i**2 - 16*i - 8304?\nAnswer: 96*i - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q. Let a(b) = 836 - 836 + 8*b**2 + 10*b**2 - 7*b. Determine t(a(j)).\nAnswer: 36*j**2 - 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**7\/2310 - v**6\/440 + v**5\/132 + v**4\/88 - 2*v**3\/33 - v**2 + 64. Find o, given that t(o) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32986\/195 < 168?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 409632287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 96467 = 111*x + 23651. List the prime factors of x.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 329104 and 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1*2)\/(-35 + 4494\/126). Sort 100, -3, b, -5, 5 in descending order.\nAnswer: 100, 5, b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 5*h**2 + 7*h + 9. Let z be f(-6). What is the common denominator of -1 - z\/((-36)\/59) and -23\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 394*x - 787*x + 336*x)*(-3 + 2 + 2)*(1 + 3 - 3) in the form n*x + f and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, t: 4, h: 1, p: 3}. Give prob of sequence tth.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -5*j**3 + 2*j**2 + 2. Suppose 4*d - 18 = -14. Let y(t) = 5*t + 32. Let m be y(-6). Let b(r) = r**3 - r**2 - 1. Determine d*i(n) + m*b(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2044.314 - 0.96992.\nAnswer: 2043.34408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1038*b*y**2 + 7250*b*y - 21853907*b wrt y?\nAnswer: 2076*b*y + 7250*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1192, 1196, 1202, 1210, 1220, 1232, 1246?\nAnswer: 1262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -422*o - 5*z = -419*o - 57, 5*z = 45. Sort 18, o, -14, 1.\nAnswer: -14, 1, o, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*m**3*t**2 + 3183573*m**3 - 23*m**2 - 1973068*t**2 wrt m.\nAnswer: -72*t**2 + 19101438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o + 30. Give c(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 7*g + 11*g + g)*(-469*g**2 + 469*g**2 + g**4).\nAnswer: 19*g**5 + g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(833)*6 - sqrt(833))*-2 - (2 + (sqrt(833) - ((sqrt(833) - (sqrt(833) + (sqrt(833) - (2 + sqrt(833))**2))) + -1 + sqrt(833))))).\nAnswer: -98*sqrt(17) + 1668","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 6*t**2 - 5*t. Let d be 124*(-1)\/(-9) - 36\/(-162). Suppose 2*m + 2*y + d = 0, -y + 1 = m - 2*m. Give s(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*i - 115, -g + 6*g = 2*i - 84. Calculate the remainder when 146 is divided by i.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + w + 2. Let a(s) = 78*s**2 - 145*s - 4. Suppose 0 = -9*l + 29 - 47. Let y(q) = l*k(q) - a(q). Find the second derivative of y(o) wrt o.\nAnswer: -160","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:14 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*d - 5*j = 12*d + 684, -d = j - 180. What is the common denominator of 441\/36 - 12 - 230\/d and 47\/64?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*5\/(-20)*(-6)\/9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:36 AM and 12:36 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12336980 from -3434073.\nAnswer: 8902907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*n - 16. What is the lowest common multiple of 7 and 14\/(-4)*n\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s - 0*r + 5*r, 4*r - 8 = 0. Suppose -a - 3*a - 40 = -s*f, -4*a = 5*f. Differentiate -5*d**4 + 2*d**4 - 4*d**4 - 4 + 4*d**f with respect to d.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 723332?\nAnswer: 6509988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -298 + 880 - 41*q**2 - 278 - 304.\nAnswer: -41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 5*y - 0*a - 51032, y + 4*a = 10195. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**3 + l**2 - l. Let x(d) = -30*d**3 - 5*d**2 + 6*d. What is -5*i(m) - x(m)?\nAnswer: 20*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 7:32 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 222, 363, 510, 663, 822, 987?\n\"Answer: 3*n**2 + 132*n + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttatttaa. What is prob of sequence ttaa?\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4488866 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*c**4 + 2*c**2*q**3 + 201*c**2*q + 2831*q**3 with respect to c.\nAnswer: 24*c**3 + 4*c*q**3 + 402*c*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + f - 6. Let k be m(6). Suppose 3*o = -3*p + k, -4*p + 15 = 2*o - 5. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q - 3*h - 19 = 0, 4*q + 5*h + 10 = 0. Let z(g) = -2*g + 10. Let j be z(7). Put 1, j, q in decreasing order.\nAnswer: 1, j, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 761*h - 9. Is i(1) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -154a37 - -337?\nAnswer: -154700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -10. Which is smaller: -15 or p?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 18 = -o, -2396*o + 59*z + 230 = -2393*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -f + 6*f + f - 18*f to o + k*f and give k.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 62911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1114199.21*0.1\nAnswer: 111419.921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from llxxxmlxlpllxvpvx?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2315 is divided by 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -168, 1, -12 in increasing order.\nAnswer: -168, -12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -138 - -145 - (-6 + -3 + -5 + 8)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 17 = 3. Suppose 2*m + 2*q + 4 = 0, 4*m + c*q - 4*q = 7. What is the first derivative of -2 + 3*u**m + 2*u**2 - 4*u**2 + 2*u**2 wrt u?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (42140\/15 + -3)\/((-3)\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, x: 7}. What is prob of sequence xoxx?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 54965, 109969, 165017, 220109, 275245, 330425, 385649?\n\"Answer: 22*q**2 + 54938*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8456.97 times -0.3?\nAnswer: -2537.091","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {x: 1, k: 1, o: 7}?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-14)\/(((o*(o*(o**(2\/25)\/o)\/o)\/o*o)\/o)\/o*o) assuming o is positive.\nAnswer: o**(-327\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x**2 - 263*x - 1542. Calculate r(-11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -702*f*o**3 - 12*f*o**2 - 12*f*o + 180*f + 32*o**3 - 10*o**2 - 38058*o wrt o?\nAnswer: -4212*f*o - 24*f + 192*o - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79201?\nAnswer: 79201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*g + 60 - 648. Suppose -g*c - 469 + 46935 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2333 (base 16) to base 5\nAnswer: 242021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 50\/300 + 34\/12. Let f(o) be the first derivative of -3\/4*o**2 + 1 - 1\/6*o**r - o. Factor f(m).\nAnswer: -(m + 1)*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 (base 11) to base 4\nAnswer: 3022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -105, -2, 0, -251 in descending order.\nAnswer: 3, 0, -2, -4, -105, -251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**3 + 58*d**2 - 4. Let h(b) be the first derivative of -b**4\/4 + 58*b**3\/3 - 3*b - 7703. Calculate 4*h(g) - 3*t(g).\nAnswer: 2*g**3 + 58*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 9*f + 9. Let h be u(9). Solve -5*p = -2*p - h for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/4 of a litre?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728 + (-11)\/9 + (-2)\/(-9)?\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 17 + 19. Is i a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2 - 10*k + 10. Let o be y(1). Suppose r + w + 2 = 0, 4*w + 8 = 5*r - o*r. Solve r = 11*a - 12*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -107398 divided by 6\nAnswer: -53699\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -5*l**6\/6 - 8*l**3\/3 - 8. Find the third derivative of q(z) wrt z.\nAnswer: -300*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 6. Let i(f) be the second derivative of f**3\/6 - f**2\/2 - 8*f + 7. What is 2*i(h) - v(h)?\nAnswer: 3*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 5*n**2 - 6*n - 5. Let h be -4 + 5 + 5\/(-1). Let i be k(h). Solve l + 7*b - 12 = 2*b, i*b - 12 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 542.7351 hours in minutes?\nAnswer: 32564.106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 784, 828, 892, 964, 1032, 1084, 1108?\nAnswer: 1092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/11)\/y)**(-32)\/(y**2)**(-1\/27)*y**(-1\/6)*y*y**(-3)*y**(9\/5)*y*y*y**(-5)\/y assuming y is positive.\nAnswer: y**(65011\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - r)*(0*r + 9*r + 3*r).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/146391 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/4 + 1005*o**3\/4 + 107807*o**2\/4 + 316371*o\/4 + 104785\/2 = 0.\nAnswer: -95, -2, -1, 1103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -8*c**2. Let l(m) = 32*m. Give l(x(h)).\nAnswer: -256*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001701 to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -17355000 to the nearest 1000000.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5 - c**2 - 12055*c - 21 - 3 + 12070*c. What is t(15)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -218, -0.1, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 127036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is a856b1 + 0?\nAnswer: a856b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 16) in base 6?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 2*r - 7 = 0, 3*k + 2*r = -0*r - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149347 is divided by 290?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*w + 3*w - 10, -u - 5*w + 17 = 0. Suppose -2*x + u*x = -45. Let a = -9 - x. Solve a = -3*p - 5*m - 20, -2*p + 2*m + 9 = 1 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 231215.867 to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2\/5 - 144491816*m + 6524339028430580.\nAnswer: 4*(m - 90307385)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 750464 and 3483688?\nAnswer: 4264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = g - 5. Suppose 3*d - 3*i = 21, 0 = -0*d - g*d - 4*i. Solve -3*o = -2*n + 13, -2*n - d*o + o = 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -12. Calculate the highest common factor of j and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 11*n**6\/120 - n**3 - 4*n**2 + 6. Let c(v) be the second derivative of o(v). What is the derivative of c(b) wrt b?\nAnswer: 33*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -4 - -7 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9707 = 515*q + 56*q for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -164, -327, -490?\nAnswer: -653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (35532\/(-23030))\/(18\/945)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3438053 + 8*z**2 + 3438053.\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**4\/6 - 2*g**3\/3 + g**2 + 13*g. Suppose w(z) = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + -14. Let d = q - -22. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3 = -4*q, -17*a + 14*a - 5 = 4*q for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 4*i - 1618, 560*x = 2*i + 558*x - 794. What is the remainder when i is divided by 84?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s + 2*s - 3*s**3 + (0*s + 2*s + s)*(-2 - 39*s + 50*s + 5)*(3*s - 5*s - s) in the form h + u*s + t*s**2 + b*s**3 and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07 + 0.17. Let p = -7 - -7.08. Let d = -0.18 + p. Which is the closest to w? (a) d (b) -3 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3576\/23244)\/((-84)\/26)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 232 - 217. Find k, given that -6 - 5 - 7 - 16*k + b*k**2 - 23*k = 0.\nAnswer: -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 2*q**2\/9 + 3152*q\/9 = 0?\nAnswer: -1576, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1980, -1, 4, 3, -3, -2, 2 in descending order.\nAnswer: 1980, 4, 3, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/35553 and 22\/2239839?\nAnswer: 2239839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0*(-6)\/30)\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*b*l**2*p - 2*b*l**2 - 8*b*l + 9*b*p + b - 2*l*p + 2*p - 10 wrt l.\nAnswer: 24*b*l*p - 4*b*l - 8*b - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -462?\nAnswer: -2\/231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2241 - 2386. Is -141 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - b - 4 = 6, -4*w = -4*b + 8. Let h be ((-6)\/w)\/((-3)\/(-660)). Does 11 divide 2\/(-4) - h\/(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -3*v + 5*v. Calculate the smallest common multiple of 8 and v.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a = -5. Let r = -7 + a. Let w be (-2 + 2)\/((-6)\/r). Let h(s) = -s**3 + s**2 + 5. Give h(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1898 + -384. Let f = t - -15921\/7. Calculate the common denominator of f and -1 + 1 - 187\/(-33).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, t: 1, b: 1, f: 2}. What is prob of sequence tb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 + 3*k**2 - k**2)*(-4 + 2*k**2 + 4 - 2*k).\nAnswer: 2*k**4 - 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-48)\/40)\/((-6)\/220). Suppose 0 = m - 2, 3*u + m - r = 0. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9 - -24b71?\nAnswer: 24b64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3812958 + -39.\nAnswer: 3812919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5 = 663560*z - 663562*z, -8*u = z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-76)\/(-12) - 2\/6. Which is bigger: r or 29\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-75))\/(15\/(-30))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 17.2 * 6.81\nAnswer: 117.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 71*a**2 - 3*a - 3. Let x(o) = -426*o**2 + 17*o + 17. Let q(y) = 34*s(y) + 6*x(y). Let j(n) = 2*n**2. Give q(j(m)).\nAnswer: -568*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_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: Evaluate 270\/81*12\/(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20513502 (base 6) to base 8.\nAnswer: 2225456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3734692 is divided by 138?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-8)*(2544\/40)\/(-53)?\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -4. Let m = -1160 + 1179. Suppose -4*z - 4*n - m = -3*z, -5*z - n = 19. What is the closest to 0.1 in z, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 34 = 3*q, -4*h = -h + 5*q. Solve 0*f + 2*d = -3*f - 15, 4*f + h*d + 20 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.52227 millennia to years.\nAnswer: 1522.27","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 47 = -11*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.77 - 1.27. Let r = -424 + 429. Which is the closest to -0.1? (a) r (b) 9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15851 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.177283g in kilograms?\nAnswer: 0.009177283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 1, -6, 29, -9 in ascending order.\nAnswer: -9, -6, -5, 1, 2, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -1640*h + 54. Let k(m) = 410*m - 12. Give -18*k(j) - 4*w(j).\nAnswer: -820*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 + (-4 - -10) + -81 + 54.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 2*q = 2*q + 50, -68*q + 6 = -71*q for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 923 + -915. Let p(n) = n**3 - n - 1. Let o(m) = 4*m**3 - 8*m**2 - 2*m - 2. Let c(k) = o(k) - 3*p(k). Calculate c(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**3 + 615*v**2 + 10395*v + 9785 = 0.\nAnswer: -103, -19, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5\/8 + 9*d**4\/8 - 29*d**3\/8 - 309*d**2\/8 + 35*d + 294 = 0. Calculate d.\nAnswer: -7, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**2 + j + 1. What is the units digit of z(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 860*z**2 + 8 - 16*z**3 - 860*z**2.\nAnswer: -13*z**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.0902329um?\nAnswer: 0.0000000000902329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 690023910?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 137 + 77 = 4*x - 5*m, -2*x - 5*m = -92. Let s = 110 - x. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, -25, -57, -89?\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*i + 50 = -7*f, -30 = 3*f + 3*i. Let z = -7 - f. Let k = 16 - -2. Calculate the greatest common factor of z and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, t: 2, h: 1, j: 1, l: 2}. What is prob of picking 1 v, 1 l, and 1 h?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/7? (a) 0.06 (b) 0.15 (c) -2\/9 (d) -5\/6 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 1\/6 (c) -109\/335 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11197 + -6822. Let n = -10202 - q. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1436254429?\nAnswer: 1436254429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.8 less than 14007.78?\nAnswer: 13983.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*g + 138*g - 108 = 0. Solve -29*r - 20 = g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13340?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, -1506, -17911?\nAnswer: -17911","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 - (-37 + 28 + -5 + 20)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/185? (a) -1\/3 (b) 0.03 (c) 2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56 + 10*c**2 - 3*c**4 + 29 + c - 10*c**2 - 8*c**5 wrt c.\nAnswer: -160*c**3 - 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.22 from 55.\nAnswer: 54.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/23436 and -97\/540?\nAnswer: 117180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4887.\nAnswer: 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1166 = 5*j, -j - 334 = 2*b - 1120. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 7*w = 34, 0 = -3*z + 124*w - 121*w - 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 37 + -4. Let l(t) = 12*t**3 + 5*t**2 + 31*t - 99. Let i be l(3). What is the highest common divisor of c and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 2108*b**2 + 12700*b - 33824.\nAnswer: -(b - 2114)*(b - 2)*(b + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424, -1791, -4084, -7315, -11496, -16639?\nAnswer: -22756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 8:01 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 452 divide 515211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 986685 divided by -15\nAnswer: -65779","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**3 + 10674*r**2 - 14247120*r + 14236448 = 0. Calculate r.\nAnswer: 1, 2668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -341*t + 173*t + 170*t. Let p(g) = g**2 - 2*g - 1. Let b be p(3). Let q(j) = -j + 3*j**b - 2*j**2 + j. What is q(x(z))?\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 169703388 divided by -6\nAnswer: -28283898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-13)\/7)\/(-1) - 2. Let v = 1430 - 928. Let u = 500 - v. Which is the nearest to -1? (a) u (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -10. Find the second derivative of -2*q**5 - 4*q - 10*q + 9*q**o - 4*q**5 wrt q.\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*o - 338*o - 28 = 0. Suppose -3*a + z = 5, 4*a + 3 = 2*z - 7. Solve a = -2*f + 2, -2*p = p + 5*f + o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1320.34 and -8057.45.\nAnswer: -9377.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, w: 2, q: 3}. Give prob of picking 3 q and 1 m.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12\/403, 0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 12*i + 622 - 679, -50 = -5*r - 5*i for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-10)*24\/600*-10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -2.2 (b) -1\/9 (c) 0 (d) -6117 (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v**2 + 8*v - 21. Let l(z) = -11*z**2 - 15*z + 43. Let x(g) = 6*l(g) + 13*t(g). Let s be 2 + (-2552)\/58 + 56. Determine x(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6734.\nAnswer: 2, 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 926093 + 201*o - 926093 - 2*o**2 - 10757*o + (0*o - 3*o + o)*(o - 4*o + 4*o).\nAnswer: -4*o**2 - 10556*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 53 + 3*i**2 + 0*i**2 - 3*i - 39 + i**2 - 3*i**2. Calculate the remainder when 24 is divided by u(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*d - 58*d = -64 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -5, -11 in descending order.\nAnswer: -5, -9, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 3\/4 (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3800628*s - 3800564*s = -768 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37cc3 (base 14) to base 15.\nAnswer: 2a8be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -134, -4, -0.2, -3\/7, 1 in descending order.\nAnswer: 1, 0.5, -0.2, -3\/7, -4, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-2 + 2 + sqrt(1216) - sqrt(1216) - sqrt(1216)*-2*-2) + -4))**2 + -1.\nAnswer: 9216*sqrt(19) + 700991","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -92, 0, -2, 19, 3 in decreasing order.\nAnswer: 19, 3, 1, 0, -2, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 12*r - 388. Let o be i(32). Put o, -1, -33 in decreasing order.\nAnswer: -1, o, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9846, -12674, -15502?\nAnswer: -18330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.0345, -1, 5, 17 in descending order.\nAnswer: 17, 5, 0.0345, -1\/2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 8. Let s = 4 + p. Find the third derivative of 3*k**6 + s*k**6 + 2*k**6 - 4*k**2 wrt k.\nAnswer: 600*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**2\/7 - 3695436*j\/7 - 3414061807524\/7 = 0?\nAnswer: -1847718","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53946973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 5)*105\/(-7). Let n(t) = -75 + i + t. Let h(s) = 3*s**2. What is h(n(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and 923.7.\nAnswer: -27.711","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2666 = 4*r, -112*r + 110*r + 3*f + 1339 = 0. Which is greater: 2663\/4 or r?\nAnswer: 2663\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(-16 - (21 - 4437\/119))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus -229197?\nAnswer: 229197.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3314321 is divided by 342.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*i - 129 = 0, -3*o - 2*i = -0*o - 75. Suppose 0 = j + c - 1, 3*j + 0*c - 5*c = o. Suppose 0 = j*x - 3*x - 54. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.128 and 75.7.\nAnswer: 9.6896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/3 - 24\/(-54)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)\/g**6)**4*(g*(g\/(g\/(g**(-9)\/g)))\/g*(g\/g**(1\/12))\/g)\/(g**(3\/4)\/(g*g**(-7))) assuming g is positive.\nAnswer: g**(-293\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 2*d + 24. Let p(k) = k**2 - 10*k - 16. Let c be p(d). Round c to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.34055 minutes in seconds?\nAnswer: 3080.433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 + 122*u + 1098. Let q be c(-15). Solve w = 5*m - 12, -q*w + m = -163*w + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 90257, -2, 3, -1, 1 in descending order.\nAnswer: 90257, 3, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 25*h. Let t(u) = -13055961*u. Give t(o(g)).\nAnswer: -326399025*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*w = -9*w - 16, -4*i = -2*w - 16. Let u = -15 + 7. Let x be 1 - 2 - (u + 6). Sort x, i, 5 in ascending order.\nAnswer: x, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 728276 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21644, 21663, 21682, 21701?\nAnswer: 21720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/(-2432)*19)\/((-100)\/(-64)*-2)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, s: 1, v: 3, d: 1, i: 3}. Give prob of picking 3 v.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.947384 rounded to 2 dps?\nAnswer: 59.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in -227, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 31281.384+16.21\nAnswer: 31297.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114 = -7*s - 31*s. What is the units digit of s\/(-1) - 1932\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 9473 (c) -33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -4*v**2 - 3*v + 5. Let c(w) be the second derivative of 7*w**4\/4 + 8*w**3\/3 - 13*w**2 + 19*w. Determine -2*c(o) - 11*q(o).\nAnswer: 2*o**2 + o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 68688341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 645331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/4)\/(4*3\/24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7984850 is divided by 550.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 5) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-15))\/(3\/30). Let q be (p + 6)*(-3)\/48. Which is the nearest to 2? (a) -0.4 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9158 - 9156. Let 152\/11*w + 240\/11*w**3 + 50\/11*w**4 + 318\/11*w**b + 24\/11 = 0. What is w?\nAnswer: -3, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 55*n - 65. Let l be x(2). Suppose 5*v = 9 - 34, 0 = -5*o + 5*v + l. Let q be (-2)\/(-6) - (-59)\/3. Calculate the greatest common factor of o and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95632 + 43481 = 27*i - 180540. List the prime factors of i.\nAnswer: 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -23*h**2 + 3*h + 3. Suppose -4700 = 3*n - 4697. Determine p(n).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((2*sqrt(190)*-2)\/sqrt(10))**2 + sqrt(152)\/(sqrt(88)\/sqrt(176) - sqrt(8)))*6.\nAnswer: -8*sqrt(19) + 1826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -357 + 377. Solve 0*x - z = 4*x, 2*c - 1 = x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 564\/10 - 6\/15. Let w = 51 - 33. Suppose -4*m = -d - 53 - w, 4*m + 4*d - v = 0. Calculate the remainder when 67 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**2 + 3*b**2 - 3*b**2 + (65 - 65 + 18*b)*(4 + 0 - 1)*(-2 + 0 - 2)*(-2*b + 2*b - 2*b) to the form h + i*b + o*b**2 and give o.\nAnswer: 431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -18) + (-10 - -19) - (15 - 8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 54*t**3 - 2*t**2 + 2*t + 3. Let r(z) = -z**3 - z + 2. Determine 2*r(a) + y(a).\nAnswer: 52*a**3 - 2*a**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*v + 274, -3*v + 0*b - 3*b + 195 = 0. Which is greater: v or 66?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2341\/244644 - 2\/2109. Let d = -63\/580 + k. What is the closest to 2 in d, 1\/3, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**3 - 3168780*l**2 + 627584008608*l - 4392932791408 = 0. Calculate l.\nAnswer: 7, 396094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*a**3 + 2*a**3 + a**3 + (-3*a + 3*a - 4*a**2)*(-6*a + a + a) + (2*a**3 - 2*a**3 - 2*a**3)*(1 - 7 + 3).\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -327749259139\/50074145 + 138\/1164515. Let s = p - -6545. Let w = 70\/559 + s. Is w less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*g**2 + 53*g**2 + 49*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 5, -1, 12.\nAnswer: -9, -1, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**5\/19 + 1876*x**4\/19 + 436154*x**3\/19 - 1767192*x**2\/19 + 1774728*x\/19.\nAnswer: 2*x*(x - 2)**2*(x + 471)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 145 and 15515?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y - 1. Let p be d(-2). Let b be -4*p\/12*-3. Let g be 6\/21 + (-2)\/7. Do b and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**5 - 2930*g**4 - 23483*g**3 - 61680*g**2 - 52884*g = 0.\nAnswer: -3, -2, 0, 2938","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/3 - 154066*w - 3235435\/3.\nAnswer: (w - 462205)*(w + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**5\/4 - 3261*k**4\/2 - 330699*k**3\/4 + 176778*k**2 + 257823*k = 0.\nAnswer: -2122, -54, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1643.48t in milligrams?\nAnswer: 1643480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 5, j: 4, a: 7}. Give prob of sequence hhjj.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 44*g**2 - 3*g. Let r = -62 + 65. Let i(t) = t - 2. Let m be i(r). Is 7 a factor of l(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1296)*-1)\/(sqrt(3) + (sqrt(3) - -1*sqrt(108))))**2.\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2*q*q)\/(q\/q**(-1)))**(-1\/12) assuming q is positive.\nAnswer: q**(-1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10)*d*d)\/(d*d**(-39))*d**(-22\/7)*(d**(2\/43)\/d)\/d assuming d is positive.\nAnswer: d**(7496\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 + 5 + 2\/(-1). Let h(m) = 10785*m - 21575*m + 10789*m - 7. What is h(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - n**2 + n + 1. Let y be q(1). Let j be -3*4\/24*y. Solve 2*p + 26 = 5*m, 5*m - 2*p + 5*p - 11 = j for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68406609 divided by -977?\nAnswer: 70017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.14 in 2\/7, 3\/5, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -56*n**2 + 280*n + 70. Let d(t) = t**2 - 4*t - 1. Let a(b) = -140*d(b) - 2*m(b). Determine a(1).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 21*f + 999 = 0. Suppose 4*w - 1119 = -f. Is w a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-724)\/(-14) - (-200)\/700 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(891) + 3*(1 + sqrt(891)) + sqrt(891) + -1 + -5)**2 + (-5 + (sqrt(891) + 0)*-1)**2)*-3.\nAnswer: -69585 + 540*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -52061 and -52061 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 168.2 + 8.8. Let f = -176.99999854 + d. Round f to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 21276 = 26724. Round d to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-2)*-2*10\/40.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18648*h**3 + 3656*h**2 - 2*h wrt h.\nAnswer: -111888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17302 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33.64135 - -33.73. What is l rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2125814.12 + -0.52656.\nAnswer: 2125813.59344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u - 2. What is the tens digit of v(9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*p = -90, -p = -0*t + 5*t - 108. Let q(f) = f**2 + 14*f + 18. Let a be q(-14). Suppose 5*b + z = 16 + t, -4*b + 5*z = -a. Is b a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**5\/60 - 23*p**4\/8 + 587*p**3\/6 - 38*p**2 - 1. Differentiate g(b) with respect to b.\nAnswer: -2*b - 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-6 + (-462)\/(-78)). What is the highest common factor of i and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -71, -8, 4, 3, 5.\nAnswer: -71, -8, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8137, 8064, 7943, 7774, 7557, 7292?\nAnswer: 6979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 36 times -0.091872\nAnswer: -3.307392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 5*g - 11, 4*g + 2 = 2*g. Let y = -4 + q. Solve -3*s + y = -3*f + 6, 0 = -s for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 + 5.3. Let k = 83 - 245\/3. What is the third smallest value in r, k, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-96)\/(-336) - (-11)\/(-14). Suppose -3 = -s - 0*s. Suppose 10 = -n + s*n. Which is the nearest to -2? (a) n (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, l: 7}. Give prob of picking 2 a and 1 l.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 3*u**4 + 0*u)*(-6*u - 4*u + 4*u - 2*u - u + 2*u + (2*u - u + u)*(-1 + 2 + 0) - 3*u + 0*u + u - 3*u - u + 9*u - 1 + 1 - 3*u).\nAnswer: -15*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 0*a + 3 + 0*a**2 - 2\/15*a**3 - 1\/10*a**4. Factor q(v).\nAnswer: -2*v**2*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + d**3 - 28*d + 0*d**3 - 2*d**3 + 21*d in the form u*d**3 + q + p*d**2 + i*d and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 + 4*v - 3*v**2 + 2*v**2 - 2*v. Let x be c(-2). Suppose x = -2*h + 6 + 106. Calculate the remainder when h is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v**4\/11 + 40*v**3\/11 - 196*v**2\/11 - 40*v\/11 + 18 = 0 for v.\nAnswer: -1, 1, 9, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -147.6 - -147.7. Which is smaller: n or -0.0053?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 - 16*k + 3. Let w be v(3). Suppose -172 + 7 = -5*p - o, w = -5*o. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.02277 and -6?\nAnswer: 12.13662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 + -5. Let j = -31 + 26. What is the closest to i in -2\/23, j, -1\/4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-35)\/14*6\/(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15818880 and 2568?\nAnswer: 2568","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 19275411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 + -53.5. Let v = -0.5 - x. Let f = 8 - v. What is the smallest value in f, 2\/13, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*x - 2117 = -60 for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (15\/10)\/(6\/104)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6\/19 + -8\/95. Let f = -18.7 + -4.3. Let l = 23.2 + f. Which is bigger: d or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, i: 1, w: 2, n: 4, v: 3}. What is prob of picking 3 n?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/6)\/(3\/108000). Round m to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 219 - 71. Let j = 34241960.006 + -34242108.00599917. Let a = j + b. Round a to 7 decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 70*v**3 + v. Let p be d(-1). Let w = -949\/2 - -430. Find the common denominator of 3*1 + p\/(-12) and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -56*l**4 + 6905*l**3 - 476*l**2 - 516.\nAnswer: -1344*l + 41430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + ((-20)\/(-4) - 11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -32 - -60. Suppose 2*d - s = 54. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 7*k + 2. Let j be w(7). Find the third derivative of 2*z**6 + 11*z - 2*z**j - 7*z**6 - 11*z wrt z.\nAnswer: -600*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 56, 160, 400, 842, 1552, 2596, 4040, 5950?\n\"Answer: 11*k**3 + 2*k**2 + 21*k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 3*y**2 - 4*y + 2. Let h be t(-4). Factor -n**4 + 3 - 3 + 5*n**4 + n - 3*n**h.\nAnswer: n*(n + 1)*(2*n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110441012 (base 5) to base 4.\nAnswer: 1312020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 w when three letters picked without replacement from {w: 7, v: 5}?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3225 by 645.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67796876 to the nearest integer?\nAnswer: 8234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 158370 = 6*f + 9*f. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 287. Suppose 4*w - 266 - r = 0. Suppose z + 4*h - 6 = 0, 3*z = h - 11 + 81. What is the remainder when w is divided by z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of -p**6\/360 - 5*p**3\/6 + 3*p. Let u(n) be the second derivative of g(n). Let v(t) = -t**2. What is v(u(q))?\nAnswer: -q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/476 and 67\/16651334.\nAnswer: 566145356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 9:54 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**0))**(2\/21))**(2\/61)\/(h**(2\/3)*h**0*(h**(-1\/3))**27) assuming h is positive.\nAnswer: h**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -6*d + 3*d - 137 + 133 + 14*d. Let i(n) be the first derivative of -5*n**2\/2 + 2*n + 1. Give 5*i(y) + 2*u(y).\nAnswer: -3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 + 3. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*j = z - 105, 0 = 5*j - 5*z + 105. Suppose 4 = -19*w - 376. Which is greater: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 259 = 8*s. Solve -2*n + s = -5*f + n, 0 = f + 3*n - 7 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*t - 40*t - 1541 = 0 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1930, -1915, -1888, -1843, -1774, -1675, -1540, -1363?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168\/1820*-3*80\/(-72).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + a2?\nAnswer: 9e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 236652924?\nAnswer: 2, 3, 4057, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1291*a = 1292*a - 5 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -74*a**3*u**3 - 78*a**3*u + a**2*u + 100*a*u + a - 28*u**3 wrt a.\nAnswer: -444*a*u**3 - 468*a*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -102 + 109 + -2 + (-1166)\/(-2). What is the highest common factor of 672 and h?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l**2 + l - 1. Let p be i(1). Is ((-148)\/p)\/((-2)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1914 and 23.\nAnswer: -44022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -81 (b) -1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -0.03, 9, 4\/5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 119031761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 37*b**2*m**2 + 19021*b**2*m + 2*b*m**2 + 6*b*m - 57*b - 5*m**2 - 49*m wrt b?\nAnswer: 74*m**2 + 38042*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 804.9594kg in grams?\nAnswer: 804959.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 20 = -q, -3*q - 27 = 5*m. Let s(g) = -2*g. Let i be s(m). Suppose 5*h - 18 = v + i, -4*v = 5*h - 29. Solve -o = -4 - v for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-90))\/(-2))\/((-60)\/(-100)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -122, -432, -1032, -2018, -3486?\nAnswer: -5532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -587 and -0.4?\nAnswer: 234.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = -9*p + 4*s, -26*s + 24*s + 19 = -3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-129) - (-7 + 7272\/(-1032))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53.593334 + 0.093666. What is z rounded to one decimal place?\nAnswer: 53.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1. Let b(d) = 3*d**2 + d + 5. Let x(a) = b(a) + 3*l(a). Let v be x(-2). What is the highest common divisor of v and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71664000 to the nearest 1000000.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 125*a - 161. What is the remainder when b(4) is divided by 43?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -10453209, -20906414, -31359619, -41812824, -52266029?\n\"Answer: -10453205*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) + sqrt(1100) + 0 + -3 + 4 + -5)**2.\nAnswer: -160*sqrt(11) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3*d**2 - 44*d - 171. Let u be p(-26). Calculate the remainder when u\/(5 - (16 - 6)) is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 36. Suppose -i - 2 = 0, -3*t + t + 76 = 2*i. Calculate the highest common factor of t and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -466897 minus -6.65?\nAnswer: -466890.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.844613814 less than -27981?\nAnswer: -27980.155386186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (314274 + 12756*v + 314276 - 628549 + 8106*v)*(0 + 2*v + 0)*(2 - 2 - 2).\nAnswer: -83448*v**2 - 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12124126 - 3?\nAnswer: 12124123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g**3 - 8 + 10*g**3 - 430*g + 8 - 440*g + 870*g.\nAnswer: 56*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 4. Let w(p) = f*p**2 - 2*p**2 - p**2 - 9 - 9*p. Let y be w(-7). What is the highest common divisor of 5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 341371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1457 + -144245\/99. Let o = z - -410\/693. Suppose 6\/7*u**2 + o*u**3 + 8\/7 - 16\/7*u - 2\/7*u**4 = 0. What is u?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 37*u - 5*u - 28595 = 0. What is the remainder when u is divided by 793?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16176347?\nAnswer: 11, 1470577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3239*a - 374. Is i(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/4*(-70)\/21. Let l be (6\/5)\/(3\/s). Solve -5*a - 3 = l for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*i = 5032 - 5788 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9323 + 9322.7. Let m be 1 - -2*(-8)\/10. Which is smaller: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3380692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + o**3 + 0*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -19*r + 7. Let b(j) = -9*j + 3. Let d(f) = 7*b(f) - 3*c(f). Let m(a) = -8*a**2. What is d(m(o))?\nAnswer: 48*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -487523\/44652 - -6\/3721. Find the common denominator of b and -13\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*b = 48*b + 320. What is the closest to -2\/7 in -0.4, -0.02, 0, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r - 5*o - 53, 5*r + 17*o = 4*o - o + 12 - 157 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 199*r**2 + 438*r - 7228. Determine t(201).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a - a + a - 4*a + 2*a + 4*a + (-a + 0*a + 3*a)*(-1 + 1 + 2) - 2*a + 0*a + a + 0*a - a + 3*a + 3 + a - 3 - 3*a + 4*a - 2*a - a - 4*a + 3*a - 3.\nAnswer: 4*a - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-9 - (-14 + (-6 - 3)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.7 - 8. Put 4, b, 2\/7 in descending order.\nAnswer: 4, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 714 and 780445720?\nAnswer: 780445006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (9687\/60 + (-3)\/15)\/((-15)\/(-420))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1271*n**3 + 201*n**3 + 532*n**3)*(-2 + 1 + 2 + (4 - 2 - 3)*(0 + 1 + 0) + 5 - 2 - 1 + 0 + 0 + 1).\nAnswer: -1614*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 239 - 27.8654119886.\nAnswer: 211.1345880114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -3*q - 0*q + 33, -2*q - 3*h + 26 = 0. Calculate the least common multiple of 9 and q.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*c**3 + 0*c - 3\/4*c**4 + 0*c**2 + 0.\nAnswer: -3*c**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42020 divided by -955?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h = -7*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 580 and 320.\nAnswer: 9280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1008 and -73\/2352?\nAnswer: 7056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -3*s**5\/10 + s**4\/4 + 8*s. Find the third derivative of c(b) wrt b.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117 + -110. What is the second smallest value in m, 1\/6, -0.5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5d (base 14) to base 8.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 - 11*u**2 + 3*u**2 - 17*u**2. Suppose 4*z - 2*j - 50 = 28, -4*j - 72 = -4*z. Let t(l) = -10*l - 5*l + z*l - 7*l. What is t(b(m))?\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.09 - 3.09. Let l = i - 0. Is l at least as big as 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -60703, -60704, -60705, -60706, -60707, -60708?\n\"Answer: -u - 60702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -3*g. Let v = 0 + 3. Is 3 - (g\/v)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 145 = 295. What is a rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**2 + o + 13. What is the hundreds digit of w(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95480, 197797, 300114, 402431, 504748?\nAnswer: 607065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.117576 to two decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*w = 5 + 5, -4*s + w + 5 = 0. Find the second derivative of 0*c**2 + 4*c**3 - s*c + 0*c**2 wrt c.\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 90\/2 + -1 + -2. Suppose 30 = 18*a - n. Factor -8\/5*z**3 + 0*z**a + 6\/5*z + 2\/5*z**5 + 4\/5 - 4\/5*z**2.\nAnswer: 2*(z - 2)*(z - 1)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 6*u**2 + 7*u. Let t = -50 - -46. Let o be d(t). Find the third derivative of 41*y**2 - 45*y**2 + 3*y - 3*y - 11*y**o wrt y.\nAnswer: -264*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + (sqrt(833)*1 + 3 - sqrt(833))**2 + -1.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 286 divided by 148999\nAnswer: 286\/148999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8 and -988.3.\nAnswer: 790.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 902968059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*y + 337 = 291. Let r(x) = -4*x**3 - 2*x**2 + 3*x + 3. Give r(y).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 642 = 35*q - 898. Let h = 250 + q. Calculate the remainder when h is divided by 50.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*c*j**3 + 3*c*j**2 + 58212*c*j + 464*j**3 + 297*j - 2 wrt c.\nAnswer: 5*j**3 + 3*j**2 + 58212*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 2*u - 2. Let g be t(2). Let n(w) = -6 - 2 + 16*w - 5 + g*w. Is n(20) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -162*k**3 - 774*k**2 - 1040*k - 800\/3 = 0.\nAnswer: -20\/9, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcrmcnysncr. Give prob of picking 2 c.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 234 a factor of 275023?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 564.255 seconds to nanoseconds.\nAnswer: 564255000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 443 - 344. Let j = -96 + q. Put j, 2, 10 in decreasing order.\nAnswer: 10, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 320 + -317. Solve 3*s - 9 = -h, -v*s + 20 = s + 4*h for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 7:21 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4360627*v**3 - 317977*v**2 - 10*v.\nAnswer: 26163762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 33 = -5*p - 3, 2 = x - 4*p. Solve x - 2 = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1172 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + 5*u - 3. Let q be 4881\/10 + 65\/(-650). Let o = 494 - q. Determine r(o).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vp when two letters picked without replacement from bamvambbpmb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 494018401 is divided by 2226.\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.095 - -1.899. Let k be 5 + -2 - (-1 + 2). Sort k, -3, m in ascending order.\nAnswer: -3, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 722 divide 52520005?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 11}. Give prob of sequence hhhh.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -48*p**3 - 414*p**2 + 409*p + 4. Determine c(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - 38 + 14. Suppose -n*s + 56 = -1384. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 227*i + 169*i - 302*i. Let d(u) = 27*u**2. Determine c(d(p)).\nAnswer: 2538*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1404978364 and 1172?\nAnswer: 1172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 353\/1211 - 1\/173. Suppose -2*d + 9 = 11. Sort 0.1, d, h.\nAnswer: d, 0.1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 4 (c) 286851.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6 + (-1 - -5)\/(-2). Suppose c*w + 3*u = 21 + 2, 4*u = 20. Suppose -k + w*z = -2*k + 19, 4*k + 4*z - 60 = 0. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-9))\/((-9)\/702) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-5841\nAnswer: -5841.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n + 1. Let p(v) = -v**2 + 12*v - 15. Let m be p(12). Let l = -14 - m. Let o(h) = -1. Calculate l*s(z) + 2*o(z).\nAnswer: z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2310549 + -5185949. What is m rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -98, -17, 3.\nAnswer: -98, -17, 3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14350 divided by 2870\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 17, 27, -2467, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/12 + 377\/78. Let c be (t - 3)*-1 + 6. What is the second derivative of -2*o - 4*o**c + 0*o + 3*o wrt o?\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 13, 149, 569, 1441, 2933?\n\"Answer: 28*a**3 - 26*a**2 + 18*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 381.7509 litres?\nAnswer: 381750.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.935 from -1890.\nAnswer: -1896.935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = h - 5*h. Let y = 71 + h. What are the prime factors of y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98732 times -115?\nAnswer: -11354180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millimeter in micrometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5535 is divided by 1819?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*z + 9*z + 54. Find the common denominator of z\/(-48)*(-7 + -2) and -61\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28.7, 0.3, -3.6613, -1\/6.\nAnswer: -28.7, -3.6613, -1\/6, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 0 + 1*sqrt(76))*-5.\nAnswer: -10*sqrt(19) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 2*n - n)*(0 + 0 - 4) + 4*n + 3*n - 6*n + (-2*n + 2*n + 2*n)*(-4 + 2 + 1) - 1 + 1 - 2*n - 15*n - 13 + 13 in the form r + p*n and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.212896 litres to millilitres.\nAnswer: 4212.896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l - 6. Let t be r(-3). Find the second derivative of -2*q**4 - 10*q - t*q**4 - 5*q**4 - q**4 wrt q.\nAnswer: -132*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 6*l**2 - 4*l + 11. Let v be z(5). Differentiate v*p**4 - 48 + 33*p**4 + 35 with respect to p.\nAnswer: 196*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 14\/(-92) + (-2)\/(-4). Let d = f - -83\/92. What is the third smallest value in 2, d, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1873643*q**4 - 3917278*q**2?\nAnswer: -44967432*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 4*q + 7. Let h = 2 - 1. Let d(z) = -3*z + 2 + h - 9. Let f(r) = 7*d(r) + 6*v(r). Let b(y) = 2*y**2. What is f(b(l))?\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqr. Give prob of picking 2 q.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 3 (b) -2\/9 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0)\/(2\/306). Let h be (-1)\/6*(s\/(-6))\/(-17). Factor -h*i**2 - 3\/2*i - 9\/4.\nAnswer: -(i + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39.9 - 40. Let b = -0.3 - -0.1. What is the closest to b in -3, -0.2, p?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 197712 divided by -24\nAnswer: -8238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 361875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + t + 83 = 0, z + 17 = 2*z + t. Calculate the remainder when z is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 o, and 1 p when three letters picked without replacement from tltpzllptpblpopbzll.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 28.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 256 or 331?\nAnswer: 256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*q - 3*q - 2*q)*(-3*q + 236*q**2 + 6*q - 3*q) to the form i*q + g*q**2 + h + j*q**3 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of -r**7\/42 - 59*r**6\/24 - 435*r**5\/4 - 21375*r**4\/8 - 39375*r**3 + 2043*r**2. Solve i(v) = 0.\nAnswer: -15, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 11*x + 73 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -104 - -1020342010?\nAnswer: 1020341401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5.621 * -28\nAnswer: -157.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*z - 1 = 245 + 179 for z.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*h = -249*h - 36 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-60)*6\/1*(-3580)\/3759.\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q - 53. Let u be y(5). Let w(p) = -4. Let z(r) = -r + 3. Give u*z(j) - 2*w(j).\nAnswer: 3*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15 - 24 - 20) + 35.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -297 in 4, -0.4, 31, 2\/19, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 8, g: 5}. Give prob of picking 2 b and 1 j.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Round 43254.6 to the nearest one thousand.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 8*k + 5. Let i(h) = -2*h**3 - 14*h**2 + 14*h - 20. Let g be i(-8). Give z(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/9 and 64\/16887?\nAnswer: 50661","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 61923552 to the power of 1\/2, to the nearest integer?\nAnswer: 7869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (140\/(-21) - -6)*(4 + -1). Let a(t) = 69*t**2 - 6*t - 7. What is the tens digit of a(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - i**2 - 3*i)*(2 + 407*i + 550*i + 342*i) to z*i**2 + d*i + o*i**3 + v and give o.\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*x + 2*x + 95, -470 = -4*x - 2*p. Suppose -56 = -2*y - 4*h, 26 = -4*y - 4*h + 142. What is the highest common factor of x and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 848 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:17 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a factor of 85239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*a + 3*b + 108, 3*b = 4*a - 108. Suppose -3*t + 87 = p, 425*t - 430*t - 359 = -3*p. Calculate the highest common factor of p and a.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 35*r + 490. Let z be f(-10). What is the highest common divisor of 595 and z?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 106798 and 670.\nAnswer: 533990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, s: 1, u: 4}. What is prob of picking 2 u, 1 s, and 1 f?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21501010 (base 6) to base 7.\nAnswer: -5326206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1110 (base 2) to base 3.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -430*m**2. Let d(v) = 3*v**2 + v**2 + 481*v - 481*v - 2*v**2. What is f(d(c))?\nAnswer: -1720*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = w - d, 0 = 5*w + 5*d + 17 + 13 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -29\/2*m**4 + 54 + 0*m**2 + 0*m**3 - 79*m. What is the derivative of i(u) wrt u?\nAnswer: -174*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 60156, 120423, 180690?\n\"Answer: 60267*w - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -3*r + 124 - 130, 4*u - 6*r + 36 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -95751 + 480574271\/5019. Is 1 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -52132, -52161, -52190, -52219, -52248, -52277?\n\"Answer: -29*f - 52103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -1\/3 (c) 9.747323\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-4) - 26\/(-4). Suppose -8*r + 124 = -716. Suppose -3*v + 0*v = -r. Calculate the greatest common factor of o and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 326 - 332. Let s(t) = 294*t**2 - 16*t - 43. Is s(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/12 and -67\/1080.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -81*v**2 - 524159 + 0*v**3 - 3*v + 3*v**3 + 524240.\nAnswer: 3*(v - 27)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255023 to the power of 1\/2, to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 - 5 - (-16 + 18)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 144*u + 1312. Let r be f(-7). What is the highest common divisor of r and 2242?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 AM and 11:31 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11271532 + 5?\nAnswer: 11271537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2966.8989 seconds to minutes.\nAnswer: 49.448315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*x - f = -32, 8 = -2*f. Let v be ((-3)\/x)\/(1\/9). Solve -4*b = v*n - 10, 4 = 2*b - 4 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 15, -33.\nAnswer: -33, -5, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 467830687 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v**2 + 1293. What is s(18)?\nAnswer: -1299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 5*s + 5. Suppose -4*u = -2*u + 12. Let v be a(u). Suppose 4*g + 8 = -0*g. Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x - 15. Let r be z(11). Which is the closest to -1? (a) r (b) 1\/14 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 113336 and 248?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - 9. Let f = 4903373.6999956 - 4903391.7. Let n = o - f. Round n to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4120)\/2575*30\/1?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*n - 31 + n**2 - 28 + 96 - 36 to the form u*n + s*n**2 + b and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000139311 rounded to seven decimal places?\nAnswer: -0.0001393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 116271581 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((-2*sqrt(78)\/sqrt(2) - sqrt(39) - sqrt(195)\/sqrt(125))\/(((sqrt(147) - sqrt(3)) + sqrt(3))*-1 + 5*sqrt(3)*-1))**2.\nAnswer: -467\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**2*d)**13*(d**(3\/26)\/d)\/(d**(-38)\/d) assuming d is positive.\nAnswer: d**(2005\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.86 - -349.86. Let z = i - 343.9646. What is z rounded to three decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*p + 67 = 347 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1452223?\nAnswer: 1452223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525 + 171 + 180 + u + 174.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 - 444*o**2\/5.\nAnswer: 3*o**2*(o - 148)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3183 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 - 108. Suppose -t*n + 12*n = 150. What is the highest common factor of n and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16166.7 - -6376.1?\nAnswer: -9790.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 5 (b) 0.4927 (c) -1\/5 (d) 0 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:23 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/9 + 40\/3. Suppose -4*b = 2*g - z, 22 = 5*b - 2*g - 9. What is the second derivative of 8*u**b - 13*u + 6*u - 7*u + 17*u**5 wrt u?\nAnswer: 500*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(6\/13)\/u**22 assuming u is positive.\nAnswer: u**(-280\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -449312565*m**3 + 305753123*m**2.\nAnswer: -2695875390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1943 - 1272. Suppose 0 = -13*n - 16 - 88. What is the tens digit of n\/2*o\/(-44)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 8*o - 59. Calculate y(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3133671?\nAnswer: 3, 41, 73, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85*a**2 - 45*a**2 - 32*a**2)*(-2*a + 4 - 4)*(-2*a**2 + a**2 + 2*a**2).\nAnswer: 324*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a + 1. Let p be w(2). Let f = p + -3. Solve 0 = -3*b - f*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -395718 + 395758. Calculate the remainder when (-5016)\/(-14) + 2\/(-7) is divided by l.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10800 - -10787. Let t(v) = -v**2 - 5*v - 5. Let x be t(-9). Let q = 27 + x. Which is greater: q or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1474*a + 182 + 322 + 415 + 89 wrt a?\nAnswer: 1474","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 + 4*w**2 - w. What is the tens digit of m(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 19922, -3 in ascending order.\nAnswer: -9, -3, 19922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2441522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32231444 divided by -7.\nAnswer: -4604492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*a = 223*a + 11428. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26\/15 in -3, -50, 27, -2\/23?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*w - 86 = 155 + 1559 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*j - 14*j**2 - 64*j + 3 + 39*j**2 + (7 + 11 - 10)*(3*j**2 - 4*j**2 - j**2) to q*j**2 + v*j + t and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1300) - (sqrt(1300) - (sqrt(1300) + 4*(sqrt(1300) + -2)))) + sqrt(1300))**2.\nAnswer: -960*sqrt(13) + 46864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are -37524459 and -37524462 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -7c1 + 5?\nAnswer: -7b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000068766 rounded to 6 dps?\nAnswer: 0.000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*s + 8. Let w be (s + 0)\/(2\/(-10)). Solve 2*b = 3*b - w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 4*p - 268, -5*l + 286 - 3 = p. Let g = l - 113. Is -58 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 1 + 1)*(4*g**2 + 2*g**2 - 5*g**2)*(0 - 4 + 1)*((2*g - 2*g + g)*(0 + 2 - 3) - 21*g - 69*g - 33*g).\nAnswer: 372*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1088182?\nAnswer: 2, 349, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*w + 11864 - 12064 = 0 for w.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 5*l + 5, -3*m - l = 2*m - 53. Solve -m - 10 = -5*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1988\/10599 or -1?\nAnswer: -1988\/10599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 10*r - 4. What is x(-8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9452 + 13566. Is 22 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 AM and 1:28 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-111 + 15 - 1 + (-2 + 5 - 1)*(-5 + 3 + 0))*(3 + 3*j - 3).\nAnswer: -303*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 9 - 3. Let p = 14 - v. What is the third derivative of 6*u**4 + u**4 + 0*u**4 - 4*u**2 - p*u**2 wrt u?\nAnswer: 168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 11 = 3*g, 3 = 4*g + x - 8. Let t be -2 - 1 - -66 - g. Calculate the highest common divisor of 90 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-33)*231\/(-126)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 6*x**2 - 9*x + 7. What is g(-8)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12228*g - 10407*g + 4*g**3 - 1821*g.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 35*x + 153. Let p be f(30). Put 3\/7, -3\/8, p, 0.22 in decreasing order.\nAnswer: p, 3\/7, 0.22, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.4 and -298.5.\nAnswer: -417.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 306653327?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 14 - 44 = -5*i, 3*i - 2*x = 18. Let a be 1\/(-2) + 9\/2 - 1. Suppose 4*v + 2*s + s = 36, -3*s = -a*v + 6. Solve -4*z - v = -i*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 8:52 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/((sqrt(729) - sqrt(9))*3) + 3 - (1*(-3*sqrt(95)\/sqrt(5) + -2*(sqrt(19) + sqrt(19)*-1)))**2.\nAnswer: -168 + sqrt(19)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**3)**(-50))**(-33)*(r\/((r\/((r**(-2\/5)*r)\/r))\/r))**(37\/2)\/(r\/(r\/(r\/((r*r*r**(-2\/5))\/r))))**(-16) assuming r is positive.\nAnswer: r**(9935\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1140661813.\nAnswer: 53, 2749, 7829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1213567l?\nAnswer: 121.3567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0, 5, -1, 30, -5, 23013?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 5, -6335, -4, 0.\nAnswer: -6335, -4, -3, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4697724*a**3*b**2*u + a**3*b*u**2 - 2*a**3*b - a**3*u**2 - 2*a**3 + 4*a*b**2*u**2 + a*b*u + 603*b*u**2 - 8017 wrt b?\nAnswer: -9395448*a**3*u + 8*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -909 + 911. Let o(d) be the second derivative of -7\/6*d**4 + 11*d + 5\/2*d**j + 0*d**3 + 0. Differentiate o(h) with respect to h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 4*i + 4 + 33 = 0, 5*o + 3*i - 202 = 0. Does 33 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/(-4))\/(18\/48). Suppose 4*g = g - 4*d + w, 0 = 4*g - 3*d - 5. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 75 = 5*r. Let y = 496 + -487. Calculate the remainder when r is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 5*h**2 - 3*h + 10. What is a(-5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f**4 + 249*f**3 + 2091*f**2 - 137853*f + 265302 = 0 for f.\nAnswer: -51, 2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2153856 and -109\/123398.\nAnswer: 23692416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46\/25 + 2417\/50. Calculate the common denominator of x and 43\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 2*r + 78. Let n(j) = 7*j**2 + 2*j + 2. Determine n(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -560 or -559?\nAnswer: -560","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let t(n) = -5*n**2 - 227*n + 20. Determine t(k(d)).\nAnswer: -5*d**2 + 227*d + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17682 and 5712?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of d**6\/90 - d**5\/15 - 2*d**3 + 9. Let b(a) be the third derivative of v(a). Solve b(z) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32118577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1002 (base 4) to base 8\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3584)\/(-350))\/16)\/(-13*14\/(-455))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(150)*-1)\/(2*sqrt(10)*2))\/(-2*-4*(sqrt(720)*-2 + sqrt(720) - sqrt(720))).\nAnswer: -sqrt(3)\/384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of 7*m**6\/60 + 13*m**5\/120 - 13*m**4\/24 - 5*m**3\/4 + 270*m**2. Factor s(q).\nAnswer: (q - 1)*(4*q + 3)*(7*q + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-522)\/58 + 105\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33\/(-99)*9\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 55*v + 65. Let o(z) = 3*z + 13. What is l(d) - 5*o(d)?\nAnswer: d**2 + 40*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -63, 0.4, 3, -0.4, 6, 0.1, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 5*y. Let c(a) = -12*a. Let g(q) = -2*c(q) - 5*s(q). Let o(j) = 9*j**2. Calculate o(g(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 890 and 3426322.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17610 + 17610. Let t(f) be the third derivative of -33*f**2 + l*f**3 + 0 + 0*f - 1\/60*f**5 + 0*f**4. Let o(j) = -6*j**2. Determine t(o(m)).\nAnswer: -36*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/12*(1 - 1). Suppose q = -f + 3 - 1. Suppose 0*g + 2*g = -2, f*g - 24 = -2*h. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - 1)*-1)\/(19\/(-19))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 h when two letters picked without replacement from {m: 1, v: 7, h: 3, a: 6}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2 - b + 4. Let n(r) = -6*r**2 - 3*r + 73. Determine n(c) - 6*o(c).\nAnswer: 6*c**2 + 3*c + 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/12 - (-19 - 1261\/(-78)). Solve j + i*a - 1 + 6 = 0, 3*j + 2*a = -15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 62.497904 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1323630 and 23573220.\nAnswer: 495037620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/6)\/(1\/(-2)). Let y(j) = -163*j - 1. Let m be y(1). Does 14 divide (-1)\/z + m\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -2 - (-1 + 10) - (24 + -43)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/128 and 133\/48?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (28 - -14) + -21 - (-28 + (4 - 2))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -3*g**3 - 6*g**2 - 2*g - 1. Let l be m(-3). Suppose -11*d + l + 12 = 0. Which is the nearest to -2? (a) 0.3 (b) d (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**3 + 58*w**2 + 117*w + 210. Give c(31).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03199283 rounded to 5 decimal places?\nAnswer: 0.03199","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-340)\/(-51)*132\/(-55)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-48)\/18)\/((-5)\/15). Let d(c) = -c + 11. Let o be d(n). Solve 7*k = 6*k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45192372919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*y - 88440 = 446750 + 176873. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**26*l)**16\/(l**(2\/21))**(5\/16) assuming l is positive.\nAnswer: l**(77947\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54668332.\nAnswer: 2, 23, 47, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 4*d - 12, 5*d + 2*c = 5*c + 21. Let a be 12\/d - (-1)\/1. Find the third derivative of 4*m**4 + m**3 + 0*m**2 + 4*m**2 - m**a wrt m.\nAnswer: 96*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/2, -4\/7, -1 in decreasing order.\nAnswer: 11\/2, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -251 + 334.2. Let n = 83.61 - z. Which is bigger: n or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 2*l + 5. Suppose -3*w + l*z = -1, -3*w - 5*z + 8 = -3. Solve -24\/5*h**3 + 2\/5*h**4 - 216\/5*h + 162\/5 + 108\/5*h**w = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.277554 and 116.\nAnswer: 118.277554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**5 + 1580*m**4 + 142340*m**3 + 2768160*m**2 + 15347520*m.\nAnswer: 5*m*(m + 12)**2*(m + 146)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 - 110*l + 3025.\nAnswer: (l - 55)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**7)\/j**(-5\/8))**49 assuming j is positive.\nAnswer: j**(-1715\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - o + 269, -p - 2*o + 5*o = -145. What is the greatest common factor of 340 and p?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 32*q - 91. What are the prime factors of h(8)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 18*b**2 + b**2)*(-3 + 5 + 3).\nAnswer: 90*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 79146972 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -4*q**3 + 15140*q**2 - 151000*q = 0.\nAnswer: 0, 10, 3775","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5*w - 43 = -23, -4*d + 2*w = -18 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8463 (base 16) to base 8\nAnswer: 102143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-9\/4)*l)\/l)\/(l*l**(1\/3)) assuming l is positive.\nAnswer: l**(-43\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gu when two letters picked without replacement from {m: 1, u: 1, g: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90456 and 43944.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3215, -2328, 5 in descending order.\nAnswer: 5, 1, -2328, -3215","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 8:05 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v - 48. Let b be c(5). Let w = -7 - -9. Suppose -3*n + 5*n = 2*s + w, -2*n + 2 = 4*s. Sort n, -1, b in decreasing order.\nAnswer: b, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/4 + 2 + -15. Is (-220)\/i - 12\/(-42) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**8*u)**(-13\/3) assuming u is positive.\nAnswer: u**(-130\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -24*m**3 + 2*m + 1. Let k be j(-1). Which is smaller: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*a + 4 = 0, 0*n - a + 13 = 3*n. Let x be (-16 + 17)*2*1. Solve -n = -c - x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955428.1 milligrams to grams.\nAnswer: 955.4281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 185050*l**2*r**3 - 2*l**2*r - 2*r**3 - 3465*r wrt l?\nAnswer: 370100*l*r**3 - 4*l*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 PM and 11:45 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-39) - (-2)\/6. Let l be (50\/60)\/(6\/(-9)). What is the smallest value in -3\/2, l, b?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 6:44 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.836 + -2.836. What is the nearest to n in -2, -9, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12494 - 12483. What is the remainder when f is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-16)\/(-2)*6\/12. Suppose 2*o - 11 = -v, -w*v - 2*o - 2 = -28. Suppose -3*y + v*l + 5 = -4, -5*y = l - 15. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -41659 (b) -0.5 (c) -3\/8 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 860 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k = -2572 + 1717 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 5*t**2 - 3*t + 27. Suppose 5*z + 0*h - h - 21 = 0, -h + 14 = 2*z. Does 19 divide c(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + 0 + -14 + 0 + 13?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 621986 to the nearest integer?\nAnswer: 789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*c + 5408 = -11*c. Suppose 3*f + 4*m = 9*m + 279, -4*m + c = 2*f. What is the remainder when f is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/81396 and -113\/691866.\nAnswer: 1383732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-184))\/(22482\/(-288) - -78)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Suppose -2*v + 14 = 4*m, -3*m + 4*v = -v + 9. Calculate the remainder when m - (-2 - l\/(-3)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 + -8. Sort -3, 0.1, x in ascending order.\nAnswer: x, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 207?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11\/2 of a millisecond?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*u*w - 9*u - 536*w - 397 wrt w.\nAnswer: -16*u - 536","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2736399 + 2736399 - 4226*r to y + c*r and give c.\nAnswer: -4226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + r**2 + 4*r - 3. Let l be k(3). Let w = l - -30. Let o = w + -13. Is o a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 12*g + 6. Give i(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -69*(1496\/66)\/(-34)*-1?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*b - 3*b**2 - 1060*b**4 + 533*b**4 + b**2 + 538*b**4 in the form m + s*b**3 + h*b**4 + w*b**2 + r*b and give r.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -367 + a39?\nAnswer: 6d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - (-5 + 3)) + 5. Suppose 3*b - b = 4. Solve 12 = o - b*w, 0 = -o + t*o - 2*w - 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 w when three letters picked without replacement from {t: 4, w: 10}.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 - 2*g + 1. Let t be k(3). Suppose r = 5*s - 26, -3*s + t = -r - 12. Let v be (4\/(-10))\/(r\/25). What is the greatest common factor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 34*c - 430. Calculate d(-16).\nAnswer: -974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 29*g**3\/3 + g**2\/2 + g - 1. Let k(d) = 3*d - 1. Let r be k(0). Let s be l(r). Solve -z = 2*z + 4*y - s, y - 8 = -z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 3, 1, 0, 1\/4, 8.4 in ascending order.\nAnswer: 0, 1\/4, 0.3, 1, 3, 8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5126 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 + 1 - 4)*(2 - 2 - 2) + 2 - 1 + 1 + 0 + 2 - 4)*(1495*w**2 + 31*w**2 + 4161*w**2).\nAnswer: -11374*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 0 - (-11 + 2 - -14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 - 57*t + 110. Let y(i) = i. What is y(l(n))?\nAnswer: -n**2 - 57*n + 110","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(931) - (1 + sqrt(931))*6) + (sqrt(931)*-1 + sqrt(931))*-6)**2*3.\nAnswer: 3780*sqrt(19) + 209799","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayxy when four letters picked without replacement from {l: 3, a: 1, y: 1, h: 1, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 minutes after 1:20 AM?\nAnswer: 1:37 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (12356\/(-42) + 22\/(-154))*1\/1. Is k at most as big as -295?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 51*s - 36. Let o(b) = -7*b**3 - b**2. Let q be o(-1). What is the tens digit of u(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a century in decades?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 9*z**2 + 6*z - 8. Let l be (1 - -1 - 0)*57\/6. Let a = l - 15. Suppose 2*q + 0*q = a*y - 4, 4*y = -12. What is b(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 237*q**2 + 247*q - 22. List the prime factors of k(-7).\nAnswer: 2, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 745 - 503. Suppose -2*k - 1170 = -5*v - 0*v, v - 2*k = s. Calculate the remainder when v is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ef0 (base 16) in base 3?\nAnswer: 12020122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 132781 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - 0.2. Suppose -x = -0*x - 4. Let q be x\/(-2)*1\/9. What is the nearest to -1 in a, q, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d**2. Let o(a) be the first derivative of 7*a - 6 - 5*a - 2*a - 2*a**2. Determine o(m(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2789 divided by 38.\nAnswer: 2789\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -15*v - 123. Let x be c(-9). Solve 3*t = s - 0*s + x, 3*t - 2*s = 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 8 = -3*p, -2*p - 896 = 5*d. Calculate the common denominator of 157\/14 - (-4)\/14 and (-8)\/2 - (10 - (-3430)\/d).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 1755 - 1244. Suppose 4*t = 3*f + 2*f - 869, x = 3*f - 5*t. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 132 = -38. What are the prime factors of v?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -1982062605?\nAnswer: 1982062604.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 1. Let f(j) = -3*j**2 - 9*j - 9. What is 5*f(u) + 45*h(u)?\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 13870 to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 675924259*v**3 + 3*v - 27499616?\nAnswer: 4055545554*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/(-12) - 3)*6\/1. What is the nearest to -0.1 in -0.08, 0.3, i?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 18*o + 6*o - 58 = 0, -20*h - 2*o + 115 = -145*h - 0*o for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24248712\/7 - -3103832687\/896. Let u = r + -11\/384. Find the common denominator of -47\/33 and u.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.34 + 0.26. Round h to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(4\/1 + -3). Let n = 5 + p. Suppose 12 = 2*w + n. What are the prime factors of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -593 - -1241. Let g = 8430\/13 - v. Find t, given that 2\/13*t**2 + 4\/13 - g*t = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26282040*p**4 - 2*p - 6160477 wrt p?\nAnswer: -315384480*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 + 12 = 23*b. Let h(l) = -b*l - 9*l + 18*l. Let s(p) = -p. Give h(s(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 40, 80, 122, 166, 212, 260, 310?\n\"Answer: i**2 + 37*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5\/2 (b) -299 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3054 is divided by 259?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3184784.\nAnswer: 2, 199049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/3 - 1\/6. What is the biggest value in -1\/2, -2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcm when three letters picked without replacement from mcm?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00011604 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 5:52 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -3122236?\nAnswer: 3122243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 7*k**2 + 1 + 8 to the form d*k + o + x*k**2 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -168320208 times 0.2?\nAnswer: -33664041.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3000909 to the power of 1\/2, to the nearest integer?\nAnswer: 1732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 5*g**3 - 2 + 2 - g**3 + 14 + 1094*g**2 - 1094*g**2 + (-2 + 2 + 2*g)*(2*g**2 - 3*g**2 - g**2).\nAnswer: -10*g**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*h**5\/3 - 22735*h**4\/6 - 142625*h**3\/6 - 285575*h**2\/6 - 66665*h\/2 - 5715 = 0. What is h?\nAnswer: -3, -2, -1, -1\/4, 1143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 - 30. Let z(g) = 3*g + 1. Let t be z(w). Suppose -20 = -t*j, j + 71 = v + v. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 4*k**4\/5 + 36*k**3\/5 - 12*k**2\/5 - 116*k\/5 - 72\/5 = 0.\nAnswer: -9, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) -0.1 (b) 2 (c) -1\/3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -23 - 6) + (-20 - (-13 - -124)).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/267 and 146\/84*-8 + 34\/476.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2909658 divided by 969886?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 159, 164, 169, 174?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from knnnnkfk. Give prob of picking 1 f and 2 k.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*h**2 + 0 + 4\/9*h.\nAnswer: 4*h*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 429*u + 28515 = 1337*u + 3999 for u.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1834311945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u*u**(2\/3))**(-1\/13))**(-23))**(-4))**5 assuming u is positive.\nAnswer: u**(-3680\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 - 1)*(-20 + 5*q + 20) to m*q + k and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -692\/1467?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -5380414 rounded to the nearest 10000?\nAnswer: -5380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66066*-0.1081.\nAnswer: 7141.7346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-55)\/(-15) - 2\/(-6). Is (3 - 10\/a)*442 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 9*a - 5*a - 5830379744, 5*v + 4*a + 14575949402 = 0. Let x be (-4)\/(-6) + v\/(-183). Round x to the nearest 100000.\nAnswer: 15900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 + -8. Let b(n) = 1 - r*n + n - 3*n. Let a be b(1). Let i(y) = -y**3 - 4*y**2 + y - 5. Calculate i(a).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -315 + 23 = -43*q + 310 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, h: 10, a: 2, i: 4, q: 1}. What is prob of sequence iiaq?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**3\/3 + 2*w. Let n(c) be the first derivative of c**3 - 3. Give t(n(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 9*d**2 - 9*d + 4. Let w be n(-8). Let r be 8\/w + (-13700)\/(-6). Let i be r + -1 - (10 - 7). What is i rounded to the nearest 100?\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1291, 1295, 1299?\n\"Answer: 4*a + 1287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/364*2\/(6\/3).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of -i**3\/6 + 5*i**2 + 15*i. Let w be z(3). Let x(o) = o**2 - 7*o - 6. Calculate x(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1751018 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - 7. Let d be n(6). Put d, 23, 5 in ascending order.\nAnswer: d, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (38\/9 - (-22)\/(-99))*1. What is the second derivative of 6*q**4 + q + 0*q**4 + 14*q - v*q**4 wrt q?\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78709*0.085\nAnswer: 6690.265","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3407 = -11*w - 118. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -140, -138, -136, -134?\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + q**3 + 0)*(4*q - 4*q - 2*q) - 2*q**4 - 10*q**3 - q**4 + q**3.\nAnswer: -5*q**4 - 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 396979*z - 598939?\nAnswer: 396979","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -15 - (2 + 2 + 2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1 + 1 + 3*j - 11. Suppose 0 = -3*h - 3*h - 42. Let r(d) = 2*d - 5. Give h*r(y) + 4*f(y).\nAnswer: -2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 45706 by 29.\nAnswer: 45706\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -2*y + 3*y - y - y - 8. Let r be b(-10). Let j = 1 - r. Let h(a) = -a**2 - a + 1. Determine h(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/14270 and 71\/12843?\nAnswer: 128430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -8\/11, -0.3, -4, 1\/6?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 1 - 1)*(-23*c - 13*c + c) + 2*c**2 + 3*c**2 - 3*c**2 + c - c - c**2.\nAnswer: -69*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*a = -100*a - 98*a + 841980. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 5:32 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1564727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17485 - -25950. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 4*d**2 + 20*d + 11. Is j(16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (28\/(-6))\/(18\/(-27)). Let j = i - 9. Let h = -120.5 - -121.5. Which is the nearest to -1\/4? (a) h (b) -4\/3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-66)\/16*(260\/(-182))\/((-10)\/56)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or 172492?\nAnswer: 172492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 3, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 324 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 174 divide 1354544586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 4. Let a be k(6). Let x be 13\/5 - 6\/(-15). Solve a*t + x = -5 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(2\/9))\/w**(2\/13))**33\/((w**1)**(19\/4))**41 assuming w is positive.\nAnswer: w**(-24881\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1256 - 1254.5. Put n, 0.3, 4\/5, 8 in descending order.\nAnswer: 8, n, 4\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 4886.\nAnswer: -4\/2443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-3\/2)\/i)**10)**(-3\/5) assuming i is positive.\nAnswer: i**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 458955755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/5)\/o)**(10\/9)*(((o\/((o**5\/o*o)\/o))\/o)\/o*o)\/o*o*o**(-4\/3))**39 assuming o is positive.\nAnswer: o**(-806\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -124*x + 129*x - 300. Calculate the lowest common multiple of x and 42.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*o**6 + 2*o**5 + 567806*o**3 - 24146*o**2 + 83*o?\nAnswer: 480*o**3 + 120*o**2 + 3406836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 100 = -280. Is ((-1994)\/(-4))\/(15\/l) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.47998739 - -5.48. Round j to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 0.5 (c) -1 (d) -0.5 (e) -0.88704\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**1\/(((t*t\/t**(-5))\/t)\/t))\/(t\/t**2)**(1\/8))**(2\/79) assuming t is positive.\nAnswer: t**(-31\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s**3 + 1274*s**3 + 349*s**2 - 349*s**2.\nAnswer: 1274*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/31 and -89\/416516.\nAnswer: 416516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -1640, -2 in decreasing order.\nAnswer: 5, -1, -2, -1640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((770\/539)\/((-5)\/35))\/((-4)\/10)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 575 and 15184025?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1353150, -1353099, -1353048?\n\"Answer: 51*o - 1353201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 0.05, 2?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 13*c**2 - 9*c + 1. Determine z(4).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 25*u**2 - 7*u - 7. Let g be y(7). Let q = 30 + g. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u**0*u*u*u))\/u)**(-22)*u**14\/(u\/(u\/(u\/(u\/u**(3\/5))))) assuming u is positive.\nAnswer: u**(507\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1474314 + -1474311. Determine w so that 18*w + 93\/7*w**2 + 20\/7*w**z + 1\/7*w**4 + 0 = 0.\nAnswer: -14, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3673 - 2451. List the prime factors of y.\nAnswer: 2, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 9:26 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m + v + 1, -4*v = 4*m + 5 - 17 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6089377 and 637?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 2*m + 14 = 0, -m = u + 3*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -3484863 * -0.1\nAnswer: 348486.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1092\/(-98))\/13)\/1?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 - 8. Let x be (1\/2)\/(4\/o). Suppose r + 2*n = 99, -3*r = 4*n - x*n - 292. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-62 - -71 - (2 + -2 + 3))*82\/(-4)\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2993, -12385, -28855, -53075, -85717, -127453, -178955?\nAnswer: -240895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3302791 and 0.2?\nAnswer: 660558.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 38302637474?\nAnswer: 38302637474.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 38*l**3*t**2 - 47*l*t**2 + 8114*t**2 + 2 wrt l?\nAnswer: 114*l**2*t**2 - 47*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -93.015 + 0.015. Let t = -60 - j. Let a = -33.006 + t. What is a rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 10153920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-4)\/24)\/1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 965, 3906, 8825, 15722, 24597, 35450?\n\"Answer: 989*p**2 - 26*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 7, 3, 1.6?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*q - 6*q + 15*q)*(4 + q - 4 + (4 - 4 - 1)*(4*q + 2*q - 5*q) + 2*q - q - 3*q) + 0*q**2 - 2*q**2 - 4*q**2.\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1681995 and 525?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -8. Let i = l - -14. Let u = 0.05 - -1.95. Put u, i, -4 in decreasing order.\nAnswer: i, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 80563\/3 - 26856. Suppose 10 = -5*o - 15. What is the closest to 2\/11 in v, o, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-188070)\/(-8)*(5 + (-21)\/9). What is j rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.00242 - -0.005931. What is m rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 2*y + 3*y)*(-2*y**2 - 2*y**2 + 2*y**2) - 1815*y**2 - 1 + 1817*y**2 - 3*y + y**3 + 3.\nAnswer: 3*y**3 + 2*y**2 - 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 34406 (base 7) in base 11?\nAnswer: 665a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25256 (base 9) to base 2\nAnswer: -100001001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 5*f - 2. Let l(s) be the second derivative of -2*s**3\/3 + s**2 - 2*s. Suppose -t + 11 - 39 + 22 = 0. What is t*l(c) - 5*o(c)?\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 + 119*s - 95 + 221*s to t + r*s and give r.\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**4\/12 + 7*k**3\/6 - k**2. Let m(c) = 7*c - 36. Let r be m(6). Give o(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-40)\/35 - 4\/(-224)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2\/5 - 8916*g\/5 - 1316799\/5 = 0. Calculate g.\nAnswer: -141, 3113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 18 - 1\/3*f - 1\/24*f**4 - 2\/9*f**3 - 5\/12*f**2. Suppose l(h) = 0. What is h?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 165 + -177 + -47 + 18?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2790 and 18?\nAnswer: 2790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/(-10) + (-6)\/(-4). Suppose -g*q = 96 + 304. Let r = q - -847. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6403.072553 rounded to the nearest ten?\nAnswer: 6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 50\/70*9\/(54\/42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 142058 a multiple of 278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, t: 1, g: 6, f: 1, v: 3, c: 3}. Give prob of picking 1 t, 2 v, and 1 g.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**2 + 5*x + 7. Let f be n(-5). Suppose -b = -f + 4. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 0*x**4 - 31 + 0*x**6 + 0*x**2 + 0*x**5 + 0*x - 20*x**7 - 79\/3*x**3. Find the third derivative of c(a) wrt a.\nAnswer: -16800*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 910.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.83 in 1, 926, -52, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/11)*b*b\/((b**(-4\/7)\/b*b)\/b)*b**(-1)*b**(1\/4))**5 assuming b is positive.\nAnswer: b**(6025\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 3, q: 1, m: 3, x: 1, v: 2}. Give prob of picking 1 g and 1 m.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 8*g**4 - 36 - 15*g**4 + 3*g**3 - 2*g**3 - g + 9*g**4 to v*g**2 + n*g**3 + a*g**4 + m*g + l and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -53747*j - 24. Let l be h(8). What is l rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 745 = -8*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - v - 6 = -2*v, 0 = 2*m - 2*v - 8. Let q = -55\/7 + 247\/35. Which is the fourth biggest value? (a) m (b) q (c) 2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/2223 and 73\/525.\nAnswer: 389025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -6*f + 8*f - 18, 0 = 4*t - 4*f + 12. Let m(a) = -5*a**2. Let c be m(-1). Suppose -2*u + 2 = -0*u. Put u, c, t in ascending order.\nAnswer: c, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 16) to base 5\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -468 divided by -26?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 8. Suppose -4*f + 189 = 3*i, 3*i - u*i + 252 = -4*f. Suppose -3*m + m = -5*t - i, 73 = 2*m + 5*t. Does 34 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*s + 5*q, 2*s + 2*s = -5*q - 5. Let t(b) = b - 6. Let l be t(5). Let v = l - s. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/(-24))\/(((-10)\/(-18))\/5). Suppose -4*k = -c - u - 17, -3*k - 4*c = 4. Solve -k*l = -2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -118022973 * -0.4.\nAnswer: 47209189.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 + 8 = -8*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 4*p**2 + 3. Let c be b(4). List the prime factors of (c\/6)\/(3\/72).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-8\/11)*o)\/o*o**11)**(-23))**(-32) assuming o is positive.\nAnswer: o**(83168\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96 is divided by 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -435*r - 524. What is the remainder when 1222 is divided by q(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -35487771, -70975530, -106463289?\n\"Answer: -35487759*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 15*n - 19. Let c(d) = -d + 10 - 1 - 2*d - 3*d - d. Determine 13*c(j) + 6*m(j).\nAnswer: -j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s - z - 521 = 0, -392 = -3*s + 2*z. Is ((-320)\/s)\/(-16) + 47721\/13 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 17*a + 2. Let l(q) = q**2 - 8*q + 1. Let p(v) = -3*i(v) + 7*l(v). Let s be p(5). What is the tens digit of (-52)\/(-1)*s\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 14 + 6 = 0. Let w(r) = -r + 3. Let g be w(-5). Let q = c + g. Solve -2 + 8 = q*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470560 to the power of 1\/2, to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -3197?\nAnswer: -3195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 587802543 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -114 and 24696.\nAnswer: -2815344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2393 + 2?\nAnswer: 2395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9424 - 8586 + 4373 - 3072*n + 13269*n wrt n.\nAnswer: 10197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 701 - 1044. Is z greater than -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101010 + -100010111101?\nAnswer: -100010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3036)\/151294*(0 - 13).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9155 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -q**5\/60 + 2*q**3\/3 + 13*q**2 + 9*q. Give a(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -390*z**2 - 5*z**3 + 788*z**2 - 4*z**4 - 397*z**2 - 1 to the form b*z + a*z**4 + f*z**3 + q*z**2 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2*g - 2*g - 11, 0 = -3*f - 2*g + 5. Let d = f - -3. Let y = 39 + -39. Solve -3*i = -y*i - d for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*o**5 + 39*o**5 + 6*o**2 + o**2 wrt o.\nAnswer: 1980*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 12:52 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-30)*3\/(-10).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + 7*a**2 + a + 10. Let n be s(-7). Suppose -3*l = -3*m + n, -m + 5 = 2*l + 4*m. Solve l = -3*k - 5 - 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j + 86 = -98. What is the least common multiple of j and 116?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/19, 5, 1, 0.0291631, 2 in descending order.\nAnswer: 5, 2, 1, 2\/19, 0.0291631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1558*l + 2052. Let h(z) = -19*z + 25. Let b(g) = -494*h(g) + 6*p(g). Find the first derivative of b(j) wrt j.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 18*p**2 + 37*p + 66. Let x be v(20). Suppose -3*m + 1845 = -5*l, -x*l + l = -15. What are the prime factors of m?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) 5 (c) 0 (d) -276 (e) 71 (f) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**2 + 7*g - 4. Let h be t(-8). Sort h, -3\/4, 5 in descending order.\nAnswer: 5, h, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7539?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of -c**4\/12 + 2*c**3\/3 - 5*c**2\/2 - 2*c - 3. Let q(l) be the first derivative of n(l). Calculate q(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 22\/(-33) + (-4)\/3. Let t(c) = -2*c**2 - 2*c + 3. Let u(w) = -2*w**2 - w + 2. What is b*t(x) + 3*u(x)?\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*p + 87*p = -82. Suppose 0 = u - 4*j - p, u = -0*j + 3*j + 37. Let n = 287 - 164. Calculate the remainder when n is divided by u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(-3\/7)\/a)**(-1\/2))**34)**6)**(-4\/41) assuming a is positive.\nAnswer: a**(-4080\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 8*i**2 + 5*i**3 - 9 - 4*i**3 + 2*i**2. Let u be y(-6). What is the biggest value in u, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 19 = x - 0*n, 2*x = 4*n + 22. Let p be 1\/(-4) + (-18)\/(-8). Suppose 152 - p = 5*z. Solve 3*l + x*v - 10 = -2*v, 0 = 5*l - 5*v - z for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*q**4 + 5*q**4 + 31 + 4*q**4 - 2 with respect to q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/16)\/(6\/16). Let d be 10 - (-5 - (-5 + 2)). Let y = d - n. Solve -3*s + 1 - 12 = t, 4*t - 5*s + y = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3 = 0, 3*d + 2*d + 105 = 5*x. Let p = 24 + d. List the prime factors of 1 + 0 - (-496)\/p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -260 + -0.331698?\nAnswer: -260.331698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-20)\/(-175))\/((-4)\/34). Let b = k + 4\/7. Let s be (-2)\/3*(-3)\/(-5). Is s at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20253.\nAnswer: 3, 43, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40039 to the power of 1\/2, to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78673 by -5.\nAnswer: -78673\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732800 is divided by 9160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -740 - -539. Let m = y - -371. What is the lowest common multiple of 102 and m?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from bnbnnbobonbbbbn.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71720330 divided by 14344066.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**4\/12 - 4*s**3\/9 - 5*s**2\/6 - 54. Factor m(v).\nAnswer: v*(v - 5)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140 + -191. Let a be w\/34 + (-1)\/2 - -4. Calculate the highest common factor of a and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + g + 2*g + 25, -2*t - 10 = -4*g. Let n = 8 + t. Suppose l - n*l + 119 = -d, l - 5*d = 64. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/25 - 26\/(-10). Let w = 1 + 0. Let t = w - 4. Put t, z, -2\/7 in descending order.\nAnswer: z, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 + 26*h**2 - 55*h + 111. Determine l(-27).\nAnswer: 867","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 3128, 0.028, -0.4 in descending order.\nAnswer: 3128, 0.028, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2. Suppose -2*i - 1092 = -6*i. Let d(k) = i + 338*k - 542 + 269. Calculate r(d(a)).\nAnswer: -228488*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 47 - (40 + 2 - (12 + 0))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 206564*b**2 + 2666896160*b + 2666689600.\nAnswer: 4*(b + 1)*(b + 25820)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9885502999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - 2*b + 6*b + 197 + 4*b - 395 + 197. Let l(s) = -s**2 - 4*s - 3. Let i be l(-2). Let c(m) = -m + 1. Determine i*u(x) + c(x).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) 7 (c) 1.1 (d) -4\/13 (e) 1 (f) 0.16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -607068*p + 606856*p - 3180 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21875 - 9280. Is u a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1858001 (base 9) to base 8\nAnswer: -3764047","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 PM and 10:51 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**3 - 628 + 212 + 208 + 208.\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 128752 = 2*f - 23481, 0 = -4*x - 3*f + 121778. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21939 and 71.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 28*i**3 + 7385*i**2 - 1843*i + 1274. Give r(-264).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57430 - -23744?\nAnswer: 103374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2.3 - -41579.78\nAnswer: 41582.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) + ((2 + sqrt(7))**2 + sqrt(7))*5).\nAnswer: -26*sqrt(7) - 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9546954*f**2 - 6740494*f.\nAnswer: -19093908","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4189889058 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 0*t**2 + 0*t**2 + (-89 - 32*t + 89)*(-38*t**4 - 42*t**4 - 14*t**4).\nAnswer: 3010*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/5099 - 514459\/917820. Calculate the common denominator of g and 79\/126.\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + x + 5. Let h be q(0). Suppose 4*t - 580 = -568. Suppose -w - 4*d + t = d, -3*d = 0. Solve y + 20 = -h*u, 2*y + 35 = 6*y - w*u for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 49523757 divided by 3.\nAnswer: 16507919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -175 - -158.2. Let d = q + 8.3. Let h = d + 8.4999924. Round h to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10 and 33250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -9194*f + 9189*f - 65, -2*f - 4*b = 44 for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -32? (a) -0.05 (b) 0.04 (c) 0.5 (d) -4.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = z - 10, -61*z = -c - 62*z + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -4072, -8143, -12202, -16243, -20260, -24247, -28198, -32107?\n\"Answer: a**3 - 4078*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 955*d + 10*d**2 + 1219*d - 2174*d.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*2\/21*91\/104?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a century in decades?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 24524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h - 8. Suppose 0 = 5*o + 8 - 18. Suppose o*q + h - 4 = 0. What is the greatest common divisor of 3 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 - 3*c + 9. Let q be g(0). Let z = 15 - q. What is the least common multiple of (-6)\/(9\/3) - -5 and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, x: 1, o: 11, j: 1}. What is prob of sequence ojs?\nAnswer: 11\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 411 + -197. Suppose -11*v = -10*v - c. Does 43 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) + 1 + (2*sqrt(180))**2 + -3 - (2 + sqrt(180) + (sqrt(180) + 1)*6)**2.\nAnswer: -8166 - 666*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15840 and 2112.\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5010\/(-3220) + 2 + (-16)\/184\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1732337233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 2\/5, 2, 1.31, 77, -1, 4 in descending order.\nAnswer: 77, 4, 2, 1.31, 2\/5, -0.04, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + 383 = -280. Is t > 49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-30)*(-220)\/132?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, r: 2, x: 2, d: 1}. What is prob of sequence rx?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyzyjyjzjj. What is prob of sequence jjjj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 45787447535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-2*sqrt(6000))\/((sqrt(12) - 2*sqrt(12)*-3) + sqrt(12)) - ((sqrt(100) - -6*sqrt(100)*-2)\/sqrt(5))**2).\nAnswer: 15*sqrt(5)\/2 + 7260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3206 (b) 194 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1)*-2 - 0. Let w(s) = s**3 - s**2 + s + 1. Let y be w(k). Which is greater: 5 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/i)**(2\/15)\/((i**5\/i)\/i)**(3\/8) assuming i is positive.\nAnswer: i**(-421\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, x: 3}. Give prob of sequence xx.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -53, -91, -129?\n\"Answer: -38*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) 29 (c) -2\/9 (d) 1\/3 (e) -197\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**1*y*(y*(y\/(y\/(y**(1\/5)*y*y)*y*y))\/y)\/y*y**5*y**0*((y**(-1\/4))**(1\/6))**(16\/7) assuming y is positive.\nAnswer: y**(641\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183*o + 5844 = 187*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 178\/4 - (-14)\/28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 - (-7)\/56*0. Solve -4 = a*c - 7 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*b = -64, b + 139 = 69 + 67 for z.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:53 AM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by -35\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*n\/n**(-3\/14))*n)\/(n*n**(-11\/6)\/n)*(n*n**(3\/17))**(-28) assuming n is positive.\nAnswer: n**(-11182\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1773 - -4698. What are the prime factors of a?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22968 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**2 + 4*w**2 - 1 + 3 + (-3*w + 3*w - 2*w)*(2*w + 0*w + 4*w) + 532 - 9*w + w**2 - 532.\nAnswer: -9*w**2 - 9*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6470598*j*w - 2582549*j - 2 wrt w?\nAnswer: -6470598*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 10, -0.12, 5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -6*y**2 - 2*y + 5. Let l be f(4). Suppose -6*g - x + 581 = -2*g, -2*x = 6. Let v = l + g. What are the prime factors of v?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r - 6. Let g(i) = i - 7. Give -6*g(t) + 7*q(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 244 + -132. Suppose -4*g + 108 = -i - 4, -5*i + v = 4*g. Is g a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166931446?\nAnswer: 2, 11, 7587793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 230 in 24, 0.06, 1, -4\/13, 1\/2?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130251397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9327707?\nAnswer: 347, 26881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 9203265221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5591?\nAnswer: 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8)\/i**(-13)*(i\/i**(-2\/9)*i*i)\/(i*(i*i**(-13)*i)\/i) assuming i is positive.\nAnswer: i**(173\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2714105, 5428312, 8142519, 10856726, 13570933?\nAnswer: 16285140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 10680500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8243 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**1*w)\/w)**35*w**6*w*w*w**(-12)\/w*w)**(-1\/33) assuming w is positive.\nAnswer: w**(-31\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 483271264 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2851 - 48*j + 2851 - 12*j**2.\nAnswer: -12*j**2 - 48*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 4*f + g, 0 = 4*f - 5*g + 18 + 27. Let l be 18\/f*(-20)\/6. Is (2 - 0 - l)*-2 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - ((1 + -4 - 0) + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 12, 0.5, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 f when three letters picked without replacement from ffffccfffc?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -54657.4 rounded to the nearest 100?\nAnswer: -54700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-336)\/(-385) + (-12)\/44. Which is the fourth smallest value? (a) l (b) 6 (c) -2\/29 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8390, -16694, -24998, -33302?\n\"Answer: -8304*a - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l + 34. What are the prime factors of l?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 27*j + 28*j - 75*j + 14*j + 10. Let d(z) = 2 + 0*z + z - 2*z. What is 11*d(c) - 2*o(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 192138 and 108?\nAnswer: 3458484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -286\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (-32 + 132 + -120)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -25*q. Let r(v) = 16*v**2 + 44*v + 22. Let w(g) = 6*g - 11*g**2 - 4 + 7 + 13*g**2. Let n(j) = 6*r(j) - 44*w(j). Determine y(n(m)).\nAnswer: -200*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54740037551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(272)*2*-2 - (-2 + 1*sqrt(2057) + sqrt(2057))*1)**2*-5.\nAnswer: -122760 + 760*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 113 - -45032224?\nAnswer: 45032341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35283 + -35221. Suppose 4*w + 204 = -40. Let i be 1 + (-2 + 1 - w). Is x != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -24*j + 1. Let u(w) be the second derivative of 13*w**4\/12 - 248*w + 2. Determine u(p(m)).\nAnswer: 7488*m**2 - 624*m + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16589933 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*q**2 - 17*q**2 - 8*q**2.\nAnswer: -38*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g. Let p(o) = -1675*o**2 + o. Determine q(p(m)).\nAnswer: 6700*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3408\/420 + -8)\/(4\/(-10)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62 - -44. Let t = 31 + s. Let f = t - 12.99. Which is the closest to -2\/5? (a) f (b) 2\/9 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*i**2 + 3*i - 5*i + 0*i.\nAnswer: -35*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(39)\/sqrt(3))**2*-6 + ((sqrt(117) + -2*sqrt(117) + sqrt(117))\/sqrt(9) + -2 + sqrt(13) + sqrt(13) + 1)**2.\nAnswer: -28 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -103*g**2 - 102*g**2 + 212*g**2 - 7 + 2*g**3. Let i(n) = 3*n**2 - 390 - n**3 + 387 + 2*n**3. Calculate -7*i(s) + 3*t(s).\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -57960, -115894, -173842, -231810, -289804, -347830?\n\"Answer: -i**3 - i**2 - 57924*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 633 is divided by 62.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2136 - 2136.4. What is the closest to 0 in b, 1\/9, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*d + 9760 = 38*d. Calculate the lowest common multiple of d and 6.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90124 is divided by 5006.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 833, -2, 74.\nAnswer: -56, -2, 74, 833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(88)\/(sqrt(40)\/sqrt(5)) + 2 + sqrt(99).\nAnswer: 2 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 5 + 18*v - 1 as a + i*v and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 376 by 94.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 5*o**3 + 13*o**2 + o + 2. Let a(u) = -u**3 - u**2 - 1. Give -2*a(k) - w(k).\nAnswer: -3*k**3 - 11*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-182)\/(-14) - 34\/2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3235*j - 2656 = -3239*j. Let z = -662 + j. Factor 18\/7 + 15\/7*k**z - 51\/7*k.\nAnswer: 3*(k - 3)*(5*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3609 and 2406?\nAnswer: 7218","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 992?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 7:51 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 118 - 75. Let y = -7568186113.00000027 + 7568186070. Let r = y + c. What is r rounded to 7 dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 21. Let g be (n\/8)\/(1 - (-6)\/(-8)). What is the tens digit of (-12)\/(-9)*42\/g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*u = 5. Let r(q) = -3*q**2 - 6*q - 101. Let z(h) = h**2 + h + 1. Let l(x) = u*r(x) - 4*z(x). Is l(0) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-18)\/4 - -4)*-58634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2266893 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 0*k - 63 = 0. What are the prime factors of k?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a*a**(-2\/19)\/a*a\/(a**(1\/3)*a*a))**(1\/74) assuming a is positive.\nAnswer: a**(16\/2109)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 6:57 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 292 - 296. Which is the closest to 0? (a) 0.3 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-10))\/(((-5382)\/52)\/69)*-65?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 169*i + 8 = -171*i, 0*r - r - 11 - 13 = -6*i for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -134 and -0.036653.\nAnswer: 4.911502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2. Let q(n) = -2450*n. Calculate q(v(m)).\nAnswer: 4900*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4 = i. Let q be (6\/9)\/(i\/(-9)). Suppose -q*r - 4 = -16. Solve -r = a - 2*a + 3*p, -2*a + 1 = p for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -o**6\/120 - o**4\/12 - 6*o**2. Let x be w(-2). What is the tens digit of x\/(-4) - (1 - 37)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -5*k + 2*k + 313, 5*k = -w + 91. What are the prime factors of w?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*w + 0*w**3 - 2\/3*w**4 + 2*w**2 + 0.\nAnswer: -2*w*(w - 2)*(w + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*y + 4*x - 10, 3*x - 12 = -y. Let f = -716881\/120 - -5974. Which is bigger: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 47288 to the nearest 1000.\nAnswer: 47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4211 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 3 + -1 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1671 = -27*s + 1806 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*k - 41 = -15 + 2 - 3, -2*j + 2*k = -24 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 - ((4 - 7) + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i, 1 b, and 1 s when three letters picked without replacement from {s: 2, l: 3, b: 1, x: 7, c: 1, i: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16685 and 6815?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -131 + 131.013. Round w to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -145445815, -145445813, -145445811?\n\"Answer: 2*q - 145445817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -419\/24 or 7368?\nAnswer: -419\/24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.42 * -173.\nAnswer: 72.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*z + 80*z = -280 for z.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1562 + 3478. List the prime factors of c.\nAnswer: 2, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2320183, 0.\nAnswer: 0, 3, 2320183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 332016 - 0?\nAnswer: 332016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 63a4 (base 11) to base 4\nAnswer: 2010033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7595429 + -42.53.\nAnswer: 7595386.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - 25147*r**3 - 2 + 3*r - r**2 - 1 + 25017*r**3 + 4 to z*r**3 + v*r + w + k*r**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from hhchhdchhchhkdhchhh?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2546 + -2544. Which is the second smallest value? (a) -3 (b) q (c) 92\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61980.36mg?\nAnswer: 61980360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/2 of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 50761745.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 11*a + 5. Let s(c) = 33*c + 14. Let r(h) = -17*k(h) + 6*s(h). What are the prime factors of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 a factor of 3797016085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18520.\nAnswer: 2, 5, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -4*j - 1. Let b(u) = -43*u - 3. What is -b(o) + 2*m(o)?\nAnswer: 35*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 2099119?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(3*sqrt(18) - sqrt(2)) - sqrt(49)\/(6*2*sqrt(7)).\nAnswer: sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 75, 104, 131, 156, 179?\nAnswer: 200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q - 1352731 + 1352731 + q. Let g(c) = -4089*c. What is l(g(m))?\nAnswer: 12267*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3558*o + 7097. Give c(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12.272 + 0.072. Let t = k - -43. Round t to the nearest integer.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -620 + 641. Suppose 21*b - 26*b = -105. What is the least common multiple of b and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)\/(x\/(x**(-4)*x))*((x*(x*x**0)\/x*x)\/x)**(-2\/55))\/((x*x**2*x)**(-5\/7)*(x**5\/x)\/x**(-2\/7)) assuming x is positive.\nAnswer: x**(-2258\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 9211, 36797, 82749, 147067, 229751, 330801?\n\"Answer: 9183*t**2 + 37*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 98970*n**2 - 19*n - 42. Let c(g) = -2*g. Calculate c(h(r)).\nAnswer: -197940*r**2 + 38*r + 84","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10416 divided by -868?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**3\/7 - 361070*d**2 - 111205504*d\/7 + 232520984\/7 = 0 for d.\nAnswer: -1263701, -46, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126 is divided by 94?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2422004432 (base 5) to base 16\nAnswer: 565123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -32*z + 16. Let d(m) = -5*m + 2. Determine -24*d(j) + 3*k(j).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -1. Let p = -25 + 26. Let v = p + x. Solve v = 2*z + z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3 + 28 = 5*c, 2 = 4*c - 2*n. Suppose -p + 90 = c*p. What is the common denominator of -32\/3 and (-10)\/(-4)*8\/p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-43)*(o**38*o)\/o*o**(1\/28)*o*o**31 assuming o is positive.\nAnswer: o**(757\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gemmfeq. What is prob of picking 1 e, 1 m, and 1 q?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1308, 2630, 3954, 5280, 6608, 7938, 9270?\nAnswer: 10604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10e - -a?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5850821, -5850818, -5850813, -5850806, -5850797, -5850786?\nAnswer: -5850773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46*o**3 - 42*o**3 - 76*o**3 + 132*o**3.\nAnswer: -32*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 68 + -28. Suppose -w - a + 176 = 0. Let u = -1729 + 1746. What is the greatest common factor of u and w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*h + h - 178 = 405 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*d - l, -2*d - 4*l - 103 = -5*d. Suppose -66 = 4*h - d*h. Solve -18 = 3*n + 2*x, -h*x - 26 = 4*n + n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*j - 45 = -0 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 3:05 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 447579 a multiple of 236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 4*j - 44, -95 = -3*j + 4*b - 31. Let y = j + -12. Suppose y*s = -0*s + 108. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2103)\/630 + (-6)\/(-10)*1 and -89\/4?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 9 - (0 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 115 + -114.999982. Round w to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2830 = -5*c, 0*w - w + 2*c + 569 = 0. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-5 - (1 - (-2 + 14)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7347483 >= 7347484?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -357 - -356.8. Let j = -0.2 - -0.1. Sort j, d, 2\/7 in ascending order.\nAnswer: d, j, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1680142*o*q + 251*o - 8*q - 15452 with respect to q.\nAnswer: 1680142*o - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 AM and 2:47 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144 = 20*s - 22*s + 11*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468 a factor of 179450261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9686 is divided by 4718?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29351 is divided by 149?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 14 - 2 = -4*x, -9 = 3*x for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5888193 divided by 5?\nAnswer: -5888193\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24629887\/8070 - 116010\/269. Let a = -2620 + q. Calculate the common denominator of -40\/7 and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 3*c + 15, 4*k + 2*c + 15 = -c for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 6*u**3 - 150*u**2 - 7*u + 178. Determine l(25).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (33\/(-792)*16)\/((-2)\/36)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 368870000 to the nearest one million.\nAnswer: 369000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57616101?\nAnswer: 3, 113, 181, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - ((-36)\/(-4))\/(-3). Suppose h*a = 3*p - 183, -209 = 2*p - 6*p - 3*a. Does 11 divide p\/(-12)*(-60)\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1251161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 10*b**2 - 11*b + 5. Let d be k(-11). Let a(i) = -8*i + 1. Let g be a(d). Let f = -16 - g. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 PM and 7:51 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 588913.5km to micrometers.\nAnswer: 588913500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0523 + 0.052301562. Round w to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -482.12, -20, 1 in descending order.\nAnswer: 1, -20, -482.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + z - 4*z + 33 = 0, 3 = t - 3*z. Suppose -8 - t = -5*c. Suppose n - 4*n = c*r + 10, 2*n = r + 8. Let y(d) = d**3 - d**2 + 1. Give y(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4 - 23649*g**2*i - 43117*g*i - 2*g wrt g?\nAnswer: 12*g**2 - 47298*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*d - d**2 + 3*d - 24*d + 8*d + 100*d**3 + 8*d to b*d**3 + p*d**2 + v*d + l and give b.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175042?\nAnswer: 2, 7, 12503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7415413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -17*z - 99. Let x be d(-6). Let f(s) be the first derivative of 2\/27*s**3 + 1\/18*s**4 + 0*s**2 + 0*s + x. Let f(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 990350237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-60)*(388\/5)\/(130\/(-650))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 214 and 27499?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*m + 24, t - 1 + 19 = -5*m. Solve -15 = t*r - 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9 + (3 - 9))*-2*1. Let j(a) = -a**3 + 29*a**2 + 32*a - 42. Let u = 58 - 26. Calculate the smallest common multiple of j(k) and u.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -2*s. Let d be -1*(-1)\/2*s. Suppose d = -3*m - 6, -2*k - 2*m = 2*k - 8. Solve -7*q + 15 = -k*h - 3*q, 0 = 4*h - q + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m**5 + 2*m**2 + 9*m. Let n(s) = -9*s**3 + 9*s**3 - 9*s**2 - 36*s + 11*s**5. Let g(y) = 9*f(y) + 2*n(y). Find the second derivative of g(k) wrt k.\nAnswer: -100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 5 - 3) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1077*y**2 - 444*y + 4. What is the hundreds digit of m(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 121 = -4*u, 2*u - 5*u + 3*t = -87. Suppose -u*o = -45*o + 9300. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 742438294*b**3 + 3764*b**2 + 3*b - 452 wrt b.\nAnswer: 4454629764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*(g**(-3)\/g)\/g)*g)**8\/(g\/g**(-6\/19)*g**(-3\/7)) assuming g is positive.\nAnswer: g**(5202\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 15. Calculate the least common multiple of f and 7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -5, -1, 0, -2 in ascending order.\nAnswer: -10, -5, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from dphhokmk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 7*a + 10. What is the remainder when 179 is divided by p(5)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 9. What is the remainder when 18 is divided by q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of 13*j**5\/60 + 2*j**2 + 61544*j. Let a(o) = 19*o + 7. Let m(w) = -13*w - 5. Let x(k) = 5*a(k) + 7*m(k). Give x(v(y)).\nAnswer: 52*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: List the prime factors of 12047826.\nAnswer: 2, 3, 7, 43, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5 - 19 - 18*v**4 + 3*v**4 - 105 wrt v.\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3 + 0 + 4\/3*g**4 - 1\/3*g + 2*g**2.\nAnswer: g*(g - 1)**2*(4*g - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720\/(-450)*4\/(-864)?\nAnswer: 1\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*z**2 - 7*z**2 - 34*z**2 + 0*z**2.\nAnswer: -149*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 277*v + 428012 = 450449 for v.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44917 is divided by 31?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4797 = 3*r, 3202 = 2*c - 0*r - 4*r. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267*a + 266*a + 15 = 0. Solve -n - 3*d - d = -8, -5*d = -a for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43473, -59379, -75285, -91191, -107097, -123003?\nAnswer: -138909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 5*u**2 - 1. Let w(f) = 15*f**3 - 32*f**2 - 28*f + 7. Let m(b) = -2*w(b) + 10*z(b). Determine q, given that m(q) = 0.\nAnswer: -2, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17407, -34814, -52219, -69622, -87023, -104422, -121819?\nAnswer: -139214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 622\/137?\nAnswer: 622\/137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 450 and 5832?\nAnswer: 145800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 973380.\nAnswer: 973380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 833, 694, 467, 152, -251?\n\"Answer: -44*m**2 - 7*m + 884","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 429 and 748.\nAnswer: 29172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 388, 779, 1170, 1561, 1952?\n\"Answer: 391*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -0.4, -38253 in ascending order.\nAnswer: -38253, -0.4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 29*u + 23. Let y be j(-8). Let v = 37 - y. Is 4 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 320132099 to the nearest integer?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s - 3. Let m be i(-3). Let g be (2\/(-10))\/(2 - m). What is the second biggest value in 4, g, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022214867.\nAnswer: 3, 340738289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**4\/24 - 23*b**2 + 3. Let x(i) = 4*i**2. What is t(x(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20806 + 301.\nAnswer: -20505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 376262 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 9*u**2 + 3*u. Let y(v) = -14*v**2 - 5*v. Suppose 2*k + 38 = 5*m - 8, 0 = 5*m - k - 43. What is m*p(a) + 5*y(a)?\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iu when two letters picked without replacement from uoi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 213766581?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b = 2*b - 1575. Let i = b + 179. What is the remainder when -16*(-1 + (0 - 0)) is divided by i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m - 69 = 9*g - 64, 4*g = -m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8215237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 0*u**2 + 0*u**2 - 4*u**2 + 7*u**2. Let f(q) = q. Let x(j) = a(j) - 2*f(j). What is the second derivative of x(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) - 57\/(-21). Is 1 not equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*l + 3*a = -92*l - 77, -4*l + 2*a + 28 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 19*b**2 - 5 - 2.\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 22*r**2 - r. Let j(m) = -m**2 + 4*m - 3. Let w be j(2). List the prime factors of z(w).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 9*a - 1136. Determine g(23).\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -305\/194 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1074338?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r - 60. Let z(c) = c + 62. Let l(d) = -3*x(d) - 2*z(d). Let q be l(-13). Factor 0 + 4\/3*t**3 + 2\/3*t**5 + 1\/3*t**2 + 0*t + 5\/3*t**q.\nAnswer: t**2*(t + 1)**2*(2*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2715*j**2 + 11*j - 11. Let r(m) = 543*m**2 + 2*m - 2. Calculate -22*r(y) + 4*w(y).\nAnswer: -1086*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -z + 2942 - 2965, -z - 15 = -2*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 221? (a) -2\/3 (b) 0 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j**2 - 162*j + 600. Let l be w(50). Suppose 2\/5*q**5 + 26\/5*q**2 - 9\/5*q**4 + l*q**3 + 6\/5*q - 9\/5 = 0. Calculate q.\nAnswer: -1, 1\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from qxslqlqpqqsqqiqs?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16278 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -437 - -451. Is 7 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**6\/15 - p**5\/5 + 2*p**3\/3 - p**2 + 17*p - 15. Let y(z) be the first derivative of l(z). Let y(r) = 0. What is r?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2 + 2 + 1 - h. Let u be w(-3). Differentiate 2*l**u + 1 + 135*l - 135*l wrt l.\nAnswer: 8*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -4*v**2\/3 + 8396*v + 429352\/3 = 0.\nAnswer: -17, 6314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -2\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -3*f - 6*a, -5*f + 4*a = -31 + 9. Suppose 0 = -3*q + 8 + 19. Calculate the lowest common multiple of q and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 0.15, -0.2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fe when two letters picked without replacement from {l: 1, e: 4, f: 3, w: 5}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004835759097 rounded to 7 decimal places?\nAnswer: -0.0000484","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124721.\nAnswer: 124721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -5*a**2 - 4*a. Let p(i) = 4*i**2 + 3*i. Let t(v) = -3*h(v) - 4*p(v). Let q(c) = 30*c. Calculate t(q(s)).\nAnswer: -900*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 103*v**2 + 116*v**2 + 46 - 47 + 7*v**2 + 3*v**2 to u*v + b + y*v**2 and give y.\nAnswer: 229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 6:36 AM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -55*v**4\/4 - 75*v + 152. Find the first derivative of f(o) wrt o.\nAnswer: -165*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 - 4)*34\/2. Let k be g\/((-102)\/(-108)) + -1. Which is greater: 55\/3 or k?\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33099)\/(-2431)*234\/54.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 1 - 4*x + 1. Let j(z) = -5*z**2 + 8*z. Let u(r) = -4*r**2 + 7*r. Let q(s) = -5*j(s) + 6*u(s). Calculate 9*q(l) + 4*w(l).\nAnswer: l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1621 - 831. Suppose b - 1041 = -v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4800193 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26275061?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 + 146853.\nAnswer: 146852.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001035631054 to 5 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 10*f**2 + 8*f + 12. Let z be o(9). Suppose 0*k = k + 2*l - 1, -z*l = -3*k + 30. Let h(p) = p + 2. What is the units digit of h(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eg when two letters picked without replacement from {j: 2, e: 3, g: 3}.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {d: 1, s: 2, i: 1, w: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 1. Let b = -848 - -1695\/2. What is the closest to z in b, 1, 2\/7, 5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 9*d + 36 = 0. Suppose 4*w - 3*f - 4 = 0, -d*w - 5*f = -7*w + 1. Solve -2*c + 7 = -w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*x**3 - 4775715*x**2 - 28654206*x - 38205576 = 0. What is x?\nAnswer: -1591899, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 2 - -6 - 7 - 27?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1534 - 8.\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*a = -35532. Let h = a - -364265\/41. Let i = 1967\/82 + h. Calculate the common denominator of i and 71\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1eb (base 15) to base 8.\nAnswer: -676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 16*b**3 - 7*b - 21. Let f(z) = 11*z**3 - 5*z - 14. Let u(n) = 5*a(n) - 7*f(n). Find the first derivative of u(t) wrt t.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 671767?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53 - -74. Let d = 15 - j. Let u = d - -34. Is 12 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8876 and 16352?\nAnswer: 5183584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 5*c - 5*a, 4*c - 5*a - 7 + 1 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*s**4 + 211*s + s**2 + 50*s**4 + 182*s**4 wrt s?\nAnswer: 2220*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 428 and 230692.\nAnswer: 428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 2)*((2*l + l - 5*l)*(-2 + 4 - 1) - l + 2 - 2 - l + 4*l - 2*l + 2*l - l - 2*l) + 0 - 3*l + 0 to i + p*l and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1414947805?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10494 divided by -53?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1734? (a) 32 (b) 0.3 (c) 0.4 (d) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 92068?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 + 94. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 93?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**2\/6 + 475*c\/2 + 712\/3 = 0.\nAnswer: -1424, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 4*r**2 + 2*r**2)*(27 - 34 + 17).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-35)\/30)\/(22\/(-11)). Suppose -2*m + 3 = 1. Which is smaller: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(539) + 2 + sqrt(539) - sqrt(539) - sqrt(11) - (sqrt(66)\/sqrt(6) + -2)) + (1*sqrt(3168))\/(sqrt(14)\/(sqrt(21)\/sqrt(3))))**2.\nAnswer: 136*sqrt(11) + 3195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5121620 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 369450 and 1049238?\nAnswer: 26230950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*i**2 + 442 + 10*i - 442 - 10*i.\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416 - 1463*b + 416 + 1548*b**3 + 1463*b.\nAnswer: 1548*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -21*f + 50. Let g be z(6). Let d = 241 + g. List the prime factors of d.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the first derivative of 1 - 3 - 12*a + a - 5*a**2. Let j(b) = -2*b - 2. Suppose -q - 33 = 2*q. Give q*j(n) + 2*g(n).\nAnswer: 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 16458 and 0.8.\nAnswer: 16458.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 2*h + 194, 3*x - 2 = 2*x. Let w be (1\/((-15)\/h))\/(3\/15). Is 33 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 82 - 79. Sort -11, -2, h in descending order.\nAnswer: h, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*r - 18*r - 50*r - 43 = 2*t, 2*r + 7*r - 2*t = 5*r - 2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 - 4*k - 5. Let q be x(-7). Let l = -162 - q. Calculate the greatest common divisor of 99 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*g**4 - 685*g**3 - 8*g + 849714?\nAnswer: -8*g**3 - 2055*g**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/253 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 3:20 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j + 62 = -2*r + 38, -r = -7*j + 47 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from aav.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 498*w - 511*w + 154 = 5*r - 0*r, 2*w - 71 = 9*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 - 10945*q - 759992. What is a(-69)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-29)\/(3 - (5 + (-1098)\/552)) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k + 13. Suppose -5*z + 324 = 54. Let y(i) = 61*i + z*i - 112*i + 6. Calculate 6*v(j) - 13*y(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*w + 42 + 19 = 0, 3*w = 3. Let v be y - (-5 - -10 - 4). Suppose -9*b = -15 - v. What is the highest common factor of 24 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114 + 943 = i. Suppose 5*y - i = 148. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x + 78 = -8*x - 3*i, 4*x - 5*i - 160 = 0. Suppose -5*h - x = -845. Suppose -4*g - h = -5*g. 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: Let b(o) = -o**3 + 12*o**2 - 611. Let j(r) = 8*r**2 - 611. Give -2*b(u) + 3*j(u).\nAnswer: 2*u**3 - 611","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -14*w + 26 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 4*a + 2*a + (5*a + 0*a - 3*a)*(-4 + 4 + 1) - 2*a + a + 2*a)*(3 - 2 + 0)*(-2 - 1 + 1).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 + 54 - 17 - 4 - 4*t**2.\nAnswer: -4*t**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 346003086 to the power of 1\/3, to the nearest integer?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*v = 2*y + 7, -v = -y - 9. Let c be ((-1)\/(y\/(-7)))\/(17\/(-85)). Solve -c = -3*f + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -836012*-118.9.\nAnswer: 99401826.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -948394 + -0.1.\nAnswer: -948394.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33 - -32.8. What is the biggest value in d, -3, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (238\/51)\/((-4)\/((-480)\/28))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 divided by -23?\nAnswer: 17\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -34?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 564 (c) 3\/4 (d) -27\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6631560 divided by -872?\nAnswer: -7605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 3232811*y**3 + 20 - 14 - 3232818*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 76292077 greater than 76292076?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2547?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-567)\/(-315))\/(((-6)\/20)\/1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2128 + 2618. What is the smallest common multiple of t and 40?\nAnswer: 1960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(304) - (sqrt(304) + 2)) + sqrt(304)) - (sqrt(304) + (sqrt(304) - (sqrt(304) + -1))*-4))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35574902917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/10 + 3)*1. Suppose -4*j**2 - 4*j - 4\/3*j**q - 4\/3 = 0. Calculate j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -13*z**3 - 126*z**2 - 17*z - 313. Give s(-10).\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54593.\nAnswer: 7, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 483699146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 6 - 4)*(-3*t + 6*t + 2*t)*(-4 + 5 - 4) in the form f*t + s and give f.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*g + 76*g = -105*g - 128*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - 1 + 10 = -m, 12 = -4*d - 2*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589623 is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, -4, -2\/36765, -1 in decreasing order.\nAnswer: -2\/36765, -0.07, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -223 (c) -0.1 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40359?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 468431424950 + -0.2268?\nAnswer: 468431424949.7732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/21*-4*6\/(-4).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28c99 + 17?\nAnswer: -28c82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5090 + -5.\nAnswer: -5095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 5 (c) 27144891\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 5. Suppose -2*o = -g*u + 22, -4*u + 9 = -u + o. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*x - 5*z, 7*x - 11*x + 8 = -2*z for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 497715 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -u - 5*o, o - 9 = 6*u - 7*u. Let d(m) = 8*m**2 + 4*m - 6. Calculate the remainder when d(u) is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n*v**3*z - 9616*n*v**2*z + 2*n*z**2 + 7873*v**3*z**2 - 2*v**2 wrt z?\nAnswer: 4*n + 15746*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 9515.359 millennia?\nAnswer: 951535.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**4\/3 + 16186*a**3\/9 + 10666160*a**2\/9 - 339483232*a\/9 - 595358720\/9 = 0.\nAnswer: -1364, -5\/3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -8. Suppose 0*l = -4*l - 2*p - 662512, -496879 = h*l - p. Let o = l - -785627. Round o to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -3, 5, 21 in descending order.\nAnswer: 21, 5, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/15*(-42)\/(-63)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 2*q - 15. Let f be (5 - (-4)\/4) + 4\/(-1). Let w = q + f. Calculate the greatest common divisor of w and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5 - 5 - 9*q + 8*q. Let i(l) be the third derivative of 2*l**5\/15 + 13*l**2. What is d(i(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3394 - 288287?\nAnswer: -288287.3394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/((h**(-2\/7)*h)\/h))**(-3\/17))**6 assuming h is positive.\nAnswer: h**(-414\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 2*c + 3. Let a be -1*7\/(-42)*0. Calculate b(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -17591388660 and 972?\nAnswer: 17591389632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(2\/(-5)*-5). Suppose 5*n - 4*g + 7 = 0, -4*n - g - 3*g - 20 = 0. Let q = n - a. Round q to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**5 + 3*t**5 - 3*t**5 + (2*t + 2*t**2 - 2*t)*(0*t**2 + 2*t**3 + 0*t**2) - t**5 - t**5 - 2*t**5.\nAnswer: 2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 6*g**3 - 6*g - 5 - 5*g**3 + 0*g**3 - 4*g**2 + g**2. Is f(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.9318 - -5\nAnswer: 29.9318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (336 + 134 + 212)*(-4*u**5 + 2*u**5 + 0*u**5).\nAnswer: -1364*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1757 = 130*y - 123*y. Is 26 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2101526 (base 7) in base 13?\nAnswer: 8b046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)*3)\/sqrt(4) - sqrt(11) - sqrt(132)\/sqrt(108).\nAnswer: 5*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 54901, 108496, 162091?\n\"Answer: 53595*k + 1306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3\/5 + 394*p**2\/5 + 4776*p\/5 - 8064\/5 = 0. Calculate p.\nAnswer: -84, -16, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqwqwwwq.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212200 + -1?\nAnswer: -212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -a + 9, 2*r + 0*a = -2*a. Let w be r - 7\/(42\/16). Which is bigger: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 12*n + 39 = 0. Calculate the remainder when 23 is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*h + 35*h - 48738 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u - 34. Let t be z(10). List the prime factors of 5\/10*t*-137.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + x - 55 = 0, -7*u = -2*u + 4*x - 40. Calculate the least common multiple of u and 18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11 + 2 + 4 + 0 - 28*m**2 + 7 to x + o*m**2 + d*m and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l - 77212 = -77002 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43326, -43340, -43354, -43368?\nAnswer: -43382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + i + 5. Let c be n(0). Solve -3*h + 2*m + 9 = -0*h, 3*m + c = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 2, c: 1, l: 1}. What is prob of picking 1 c and 1 l?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 122*v. Let b(x) = 122*x - 138*x + 8*x. Calculate b(r(q)).\nAnswer: -976*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 7695090 < 7695093?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 * 0.0003.\nAnswer: -0.00066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3832277451?\nAnswer: 3, 127, 10058471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -120110012210 (base 3) in base 8?\nAnswer: -1122025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 109 - (-454 - -433)) + 24 + (0 - -1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 7*d**2 - d + 9. Let t be 1*-4*55\/20. Let v = 4 + t. What is the units digit of j(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 2 + 3. Let m be 0 - (1 + f + -2). Suppose -4*r - u + 18 + 15 = m, 0 = -4*r - 5*u + 21. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1438080 divided by 5?\nAnswer: -287616","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xk when two letters picked without replacement from kxxxy.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 1770?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 6*v**2 - 6*v + 3. Let h be z(-7). Let s(n) = 3*n**3 + n**2 + n + 1. Let y be s(-1). Let x = 0 - y. Put -5, x, h in descending order.\nAnswer: x, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2\/2 + 81516915*y\/2.\nAnswer: 5*y*(y + 16303383)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 75783595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a**2 + 9*a**2 + 3*a**2.\nAnswer: 38*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 1224476.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-782)\/(-170) + (21\/(-6))\/(2\/4)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1663623078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72327828, -72327826, -72327824, -72327822, -72327820, -72327818?\nAnswer: -72327816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/(-20) - 60\/50. What is the third biggest value in -1\/7, 0.01, c, -1\/11, -3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 136 = -4*t - 98, 0 = 2*t - 5*q - 4. Calculate the remainder when 1188 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29\/5 of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3755 and 15?\nAnswer: 11265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 336.1561 kilometers to millimeters.\nAnswer: 336156100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 10:59 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/7 + -5\/14. Let v = 87 - 257\/3. Sort v, -2\/7, n.\nAnswer: -2\/7, n, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88142*w**4\/5 - 2732406*w**3\/5 - 12692572*w**2\/5 + 142789464*w\/5 + 1296 = 0.\nAnswer: -18, -2\/44071, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1058*y - 1123278 + 1123278 to the form i + k*y and give k.\nAnswer: 1058","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -3 + (-15)\/(-3). Factor 0*g**3 - 2*g**2 + g**3 + q*g**2.\nAnswer: g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5)\/(125\/(-12048)) + (11349\/(-325) - -35) is divided by 121.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 534 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15276 + -274817\/18. Find the common denominator of v and -41\/278.\nAnswer: 2502","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6549742 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 5*k - 92. Which is bigger: k or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 630893241 less than 0.3?\nAnswer: -630893240.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9008, 11679, 8006, -2011, -18372?\nAnswer: -41077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*r*w + 278047*r - 1939*w wrt w.\nAnswer: -4*r - 1939","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 - 3*q**4 + 4*q**4)*(19 - 19 + 2*q) + (4*q - q**2 - 4*q)*(-35534*q**3 + 65035*q**3 - 32791*q**3).\nAnswer: 3292*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.43 - -64.33. Let w = a - -724.1. Let y = w - 784.00377. Round y to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from okookooookooooo?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59176*n**3 - 59181*n**3 + 118318*n**3.\nAnswer: -39*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113.6 + -105. What is b rounded to 0 dps?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140 (base 6) to base 14.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 9 - 12)*(n + 2 - 2) + (-2 + 0 + 1)*(0 + 0 - 2*n) + (-3 + 1 + 0)*(n + 0*n - 4*n).\nAnswer: -7*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - w**5 + 0 - w**5 - 4*w**5 + 11*w**5 + 4644 - 4644 - 40*w**5 + (-3*w + 0*w + w)*(0*w**4 - 3*w**4 + 2*w**4).\nAnswer: -33*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 112. What is the closest to h in 0.3, 1\/6, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/3? (a) -4 (b) -3 (c) -2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11010 (base 2) to base 16.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (9 + (-7 - -2)))\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 274709 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 601.\nAnswer: 601","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13398 + 13621. Solve -10 = 225*i - p*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 7. Let x = -1 - i. What is the units digit of (-1 + 0)*-2*x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1176 and 1029?\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3956, -13338, -28974, -50864?\nAnswer: -79008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - n + 5 = 12, -18 = 4*c - 3*n. Let j be ((-20)\/(-24))\/(c\/(-18)). Suppose v + 4*v - j*m - 805 = 0, -4*v + 646 = -3*m. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1861442 rounded to the nearest ten thousand?\nAnswer: 1860000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*t = 3*s - 15, 11*t - s + 5 = 0. Solve t = -3*d + d - 2*n - 4, -2*n - 13 = -d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 128 + 7. Let g be (-1)\/(15\/(-12)) - 16\/(-5). Let q = 9 - g. Solve -q*l - a = 5*c, -4*c = 3*l + 13 + 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d. Let r(w) = -w**2 + 5*w. Determine r(q(x)).\nAnswer: -x**2 - 5*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - 2*g**2 - g**2)*(-3*g - g + 2*g)*(-2*g + 7*g - g).\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, 5, 0 in ascending order.\nAnswer: -3, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -12*r + 4. Let p(i) = -i + 1. Let a(l) = -n(l) + 4*p(l). Let o(v) = -2*v**2. Give o(a(t)).\nAnswer: -128*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 273, 609, 1089, 1719, 2505, 3453?\nAnswer: 4569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 293969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 7 - (12 - 34 - -6 - -34).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 2*t. Let a(m) = 3*m**2 - 5*m. Let o = -73 + 78. Let g(c) = o*v(c) + 2*a(c). Let b(w) = 20*w**2. Give g(b(j)).\nAnswer: 400*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-3\/4))\/(n**(-2\/3)*n)*(n**(3\/4)\/n*n)\/(((n\/n**7)\/n*n)\/n))**(-4\/31) assuming n is positive.\nAnswer: n**(-92\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + -3*1*sqrt(147) + sqrt(147) - (-3 + sqrt(147) + 2)) + -5 + (sqrt(147) - (sqrt(147) + 1 + 2*sqrt(147) + sqrt(147)))*-2)**2.\nAnswer: -112*sqrt(3) + 2356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 18*v**2 + v - 1. Let q be b(20). Let y = q + -464. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 35a3 - 2?\nAnswer: 35a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**6\/2340 + y**5\/260 - y**4\/78 + 10*y**3\/3 + 4*y. Let x(a) be the second derivative of z(a). Factor x(k).\nAnswer: -2*(k - 2)*(k - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) + sqrt(125) + 2 + sqrt(125) + 1)**2 - ((sqrt(125))**2 + -2 + 2).\nAnswer: 90*sqrt(5) + 1009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 566*u**2 - 85462*u - 604.\nAnswer: 2*(u - 151)*(283*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, -56, 0.1, -5\/4, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20 + 20. Solve -3*y = -9, -3*g - g - 4*y + 32 = d for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 12*d**2. Let j(s) = 4*s - 2. Let t = -24 + 26. Let x(l) = l - 1. Let p(v) = t*x(v) - j(v). Determine h(p(r)).\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -254 + 457. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*m = 91, -12 = -44*m + 41*m. What is the remainder when 178 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 633 a factor of 4184130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*x + 23 = -2*x, 0 = -4*x - 4. Let f(i) = -4*i - 3. What is the remainder when h is divided by f(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*q + 5*o, -4*q - 4*o = -2*q - 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3851358.\nAnswer: 2, 3, 7, 107, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 - (-3 - 1) - 1. Suppose 0 = 2*x - t. Solve -x = 4*y + 5 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.5598 + -1.9598. Let r = 0.03 - 0.53. Which is the second biggest value? (a) -21\/2 (b) w (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = k + 119, 3*k + 73 + 89 = 4*h. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34109 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, w: 5, t: 5}. What is prob of picking 2 t, 1 w, and 1 m?\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 167 - 3?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 - (8 + (12 - (18 + (-5 - -39))))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 0*s = 0. Sort -5, s, 4, -2.\nAnswer: -5, -2, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2044, -3.\nAnswer: -2044, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50630\/9 - 5633. What is the common denominator of 14\/4*(-46)\/((-7084)\/330) and s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 23001300 - 0?\nAnswer: 23001300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 18, -3, -42, -105, -198?\nAnswer: -327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*m + 65*m + 13*m**2 as v + z*m + f*m**2 and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 510240050?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10)*2\/((-30)\/(-25))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 818 + -800. Solve 2*a - z = -16 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30946 a multiple of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 9. What is the tens digit of 3*(4 + 1) + x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40281 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: Let s = 2.51 - 2.41. Let i = 4072\/21 - 194. Which is the closest to 0.2? (a) s (b) i (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1 = 5*h, -6*s + 11 = -3*s + 5*h. Suppose s*y - 537 = -y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32822, -66058, -99306, -132572, -165862, -199182, -232538?\nAnswer: -265936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(44) + sqrt(176)\/sqrt(4)))\/((sqrt(8) + 1*sqrt(1152) + sqrt(1152))\/sqrt(4)).\nAnswer: sqrt(3)\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/23465 and 5\/114.\nAnswer: 140790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, -26854, 5 in descending order.\nAnswer: 5, -36, -26854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29 - 2. Suppose 2*j = 3*y, -4*j = -3*y - r + 15. Let s(n) = n + 11. Let u be s(-6). Solve -j*p = -p - u for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44900.01937 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1202234 to the power of 1\/2, to the nearest integer?\nAnswer: 1096","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 4:37 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2748000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -905731*j**2 + 1811463*j**2 - 905731*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjssjjsttlhst. What is prob of picking 1 l and 1 s?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/12)\/(2\/((-30)\/23))*(-50244)\/20935?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001444 rounded to 5 decimal places?\nAnswer: 0.00144","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (4 + -2 - -1) + 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of w**6\/210 + 4*w**5\/5 + 56*w**4 + 6272*w**3\/3 + 105*w**2\/2 - 201*w. Let s(i) be the first derivative of n(i). Factor s(f).\nAnswer: 4*(f + 28)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4077 + 4090. What is the greatest common divisor of f and 6019?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 12066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 14291*h - 500201. Give r(35).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 9:12 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 - 6*f**2 - 2*f + 9. Let j be l(6). Let t = 6 - -10. List the prime factors of 12*(t\/(-6) - j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -209?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*k = -56*k - 55*k + 130*k - 990 for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of b**6\/120 + b**5\/15 + b**4\/24 - 5*b**3\/6 - 18*b**2 - 5*b. Suppose -5 = 4*o + 11. What is y(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -6, 1\/3, -2, 1, 236?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -11. Let n be (1\/(-2))\/(t\/768). What is the greatest common divisor of n and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-5 - 0 - (119 + -118) - -9) - -39?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1430\/(-2600))\/((87\/42 + -2)\/(-2))?\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 55975, 111952, 167929, 223906?\n\"Answer: 55977*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75189 and -0.4.\nAnswer: 30075.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 12*j**2 - 27*j - 13. Let a be q(14). What is the least common multiple of (1*3\/6)\/(a\/8) and ((-30)\/(-9))\/(2\/12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4493, -5684, -8917, -15212, -25589, -41068, -62669, -91412?\n\"Answer: -170*r**3 - r**2 + 2*r - 4324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -303*q**4 + 13*q**3 + 26*q**2 + 136. Let i(a) = 151*a**4 - 6*a**3 - 12*a**2 - 68. Let f(s) = 13*i(s) + 6*p(s). Differentiate f(t) with respect to t.\nAnswer: 580*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -11*v - 1. Suppose -4*q + 2*u + 22 = 2, 2*q + 3*u = -6. Suppose 4*t - 5 = q*l, 3*l = -3*t + 4*l. Is 10 a factor of k(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1518\/110 + 196\/(-14)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 4 + 4*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-six fifths of a hour?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f - 4*b - 125, -2*f + 90 = -4*b. Suppose -3*h - 2*h + f = 0. Let r(o) = -3*o + 11. Let s(g) = 2*g - 6. Give h*s(d) + 4*r(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 15*x**2 + 43*x + 3. Let n(s) = -8*s**2 - 22*s - 2. Let f(u) = 6*g(u) + 11*n(u). Calculate f(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*v - v. Let m be 10\/v*(-6)\/(-10). Let -1\/4*j + 0 - j**4 - j**2 - m*j**3 - 1\/4*j**5 = 0. Calculate j.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 3*y - 5, -4*y = -9*a + 8*a - 7 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12435167 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 514859 - 517504.93. Let m = -2526 - l. Let i = -120 + m. What is the nearest to -1 in 2\/15, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 713 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 j when four letters picked without replacement from dvvvvvjjvvjvjvjvjjv?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*q**2*r + 22393232*q**2 + 10661609*r wrt r?\nAnswer: -4*q**2 + 10661609","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 41972000 to the nearest one million.\nAnswer: 42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 3\/10, -2, 1\/5?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 1. Suppose 0*t = -u*t - 6. Let n(d) = -2*d + 1. Let h be n(-1). What is the second smallest value in -2\/3, t, h?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 41 - 143)*(4 - 4 - 1)*(a - a + a)*(-2 - 2 + 3).\nAnswer: -170*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -0.5 (c) 6 (d) -3.9354 (e) -4 (f) -0.2 (g) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - i - l + 4288, -5*l = 0. What is i rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13408 = 49*s + 789*s for s.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 74 - 30. List the prime factors of a.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*x - 5*x + 85*x - 50*x + 128*x in the form c*x + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1083304 divided by -28508\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 4. What is the third biggest value in a, -4, -1\/4, -0.2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 2*w + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5 - -2 - -3 - -7. Let b = -3 + q. Let u be (-5)\/b*(-2)\/5. What is the closest to -1\/5 in -1\/2, 2, u?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46662?\nAnswer: 2, 3, 7, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v\/((v*v**(2\/3))\/v))*v\/(v*v*v**(-2)))\/(v**(2\/21)\/v*v**2))**(26\/5) assuming v is positive.\nAnswer: v**(-78\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/14)\/((300\/(-70))\/15).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16426712, -32853442, -49280172, -65706902, -82133632?\n\"Answer: -16426730*d + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3400)*3)\/(sqrt(2) - (3*sqrt(2)*-2 + sqrt(2) - sqrt(2))).\nAnswer: 30*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320093384?\nAnswer: 2, 13, 337, 9133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 - 7*f**2 - 7*f + 7. Let h be s(-6). Suppose 9*c = h + 5. Suppose c*n - 3*n = -7. What is the greatest common divisor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**4 + 8341*f**3 + 27917?\nAnswer: -4*f**3 + 25023*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 563198, 1126364, 1689530, 2252696, 2815862?\n\"Answer: 563166*s + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve x + 6*x = -28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*t + (-3 + 6 - 2)*(-1 + 1 - t) - 3 + 3 + t)*(2278*t**2 - 749*t**2 - 557*t**2)*(2 - 5 + 2).\nAnswer: -1944*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-84)\/3 + (-2 - -5). Let m be 2\/(-5) - (-65)\/p. Let c = 7 + m. Solve -x = x - 4, -c*x = -4*a + 4 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2060 = -21*w - 1850. Solve -3*z + 2*q + w = 2*z, 0 = 5*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11696 and 1321648?\nAnswer: 1321648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66812 - 830 = -2182*k for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1300505 to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 181 (base 16) to base 9\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-324)*(-6)\/(-8)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27330284?\nAnswer: 2, 19, 43, 8363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 0 + 0*t**3 - 1\/40*t**4 - 1\/100*t**5 - 2*t**2 + 0*t. Factor i(w).\nAnswer: -3*w*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28119245 - 3613*m + 28119245 to the form v + u*m and give u.\nAnswer: -3613","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -13 (b) 1517 (c) -0.4 (d) -3 (e) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14257 = 24*p - 22631. List the prime factors of p.\nAnswer: 29, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4247*s**3 + 3*s**2 + 27*s + 120 wrt s.\nAnswer: -25482*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 1)*(-5)\/15. Which is greater: u or 15\/16?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 w when four letters picked without replacement from fwifwwiiiwwwfwwf?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 1 - 149*r**3 - 9*r**2 + 53*r**3 + 49*r**3 + 49*r**3 in the form p*r**2 + u*r + k + d*r**3 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4136 divided by 62462.\nAnswer: -2068\/31231","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of f**4\/4 - 11*f**3\/3 - f**2 + 26*f + 11. Let v be w(11). Which is the closest to 1? (a) -3\/7 (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 0*b + 3*b + (b + 3 - 3)*(-3 + 5 - 1) + (-b + 4*b - 5*b)*(0 - 3 + 1) + (-5 + 13 + 80)*(3*b + 2 - 2) as p*b + k and give p.\nAnswer: 271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (-2*(sqrt(171) + 1 + sqrt(171) + sqrt(171)) - sqrt(171) - sqrt(171) - sqrt(171))**2)*3 + (5*(sqrt(171) + -5*(sqrt(171) + 1)))**2.\nAnswer: 2685*sqrt(19) + 27460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 575, 577, 579, 581, 583, 585?\nAnswer: 587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.11 + -5.11. Let q = z - -2. Let a = q + 2.945. Round a to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**6\/120 - 7*f**5\/30 + f**4\/24 + 16*f**3\/3 + 82*f**2. What is the hundreds digit of g(-17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + 1 + -5 + (-2 - -1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1575 + 423 = 9*m. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/20)\/(4\/56)*(-4)\/12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1)*(6548 - 3271 - 422*j - 3265 - 674*j).\nAnswer: 1096*j - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 95*m - 8. Let x be l(8). Let b = -121 + x. What are the prime factors of b?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - m + 18 - 12 = 0, -5*m = 3*p + 26 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0234 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5443451441 + 2?\nAnswer: -5443451435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + c**2 - 1 + (4 - 3 + 1)*(-c + c - c**2) + 368*c**2 + 278*c**2 - 124*c**2 to d*c + o + p*c**2 and give p.\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 3*h + 43912 = -5*m, 17560 = 2*m + 2*h. Is m a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1592 - 1593. Let q(k) = 9*k**3 - 2*k - 3*k**2 + 4*k**2 - 1 + k. What is q(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -3024, -5502, -7980, -10458, -12936, -15414?\n\"Answer: -2478*p - 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, e: 1, h: 1, i: 1, c: 1}. Give prob of picking 1 y and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3\/11, 3, 955 in descending order.\nAnswer: 955, 3, -3\/11, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -10\/11 (b) 6 (c) -3\/25 (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19592.\nAnswer: 2, 31, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 6*x + 76. What is l(-17)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.4 - -23. Let u = f - 0.6. Let h = 1.3 - -0.7. Which is the nearest to 0? (a) u (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.631484 and 4.5?\nAnswer: 56.841678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21523, 21522, 21521?\nAnswer: 21520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24 - 7) + 6 + 3.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -2\/21 (b) 0 (c) 3 (d) 0.4 (e) 5\/57 (f) -0.0057 (g) -0.4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 2 = 0, 0 = 7*w - 2*w - 5*i - 5 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p = 29*p + 25. Let i be (-1 - -2 - p) + -3. Calculate the highest common divisor of i and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15\/16 (b) -4.3 (c) -0.1 (d) -2 (e) 2\/3 (f) -19 (g) 1.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*j + 2 - 823 = -125 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31814211 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 + t**2 + t. Let m(l) be the second derivative of l**5\/10 - l**4\/2 - l**3 + l - 48. Calculate -5*j(i) - m(i).\nAnswer: 3*i**3 + i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2.526, -0.1, -53, -0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20315*k*m + k - 142757*m with respect to k.\nAnswer: 20315*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6375 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 6*b = 0. Let s(g) be the third derivative of -2\/3*g**3 - 1\/30*g**5 + b*g + g**2 + 0 + 7\/24*g**4. Give s(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z - 3, 5*v + 4*z - 326 = 0. What is the remainder when 37 is divided by v\/(12\/(-4))*(6 - 7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 + 19*a**2 - 177*a + 634. What is q(6)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**3 - 4*a**2 - 4*a - 10. Let g(z) = 5*z**3 - 3*z**2 - 3*z - 9. Let y(k) = 4*g(k) - 3*q(k). Differentiate y(i) with respect to i.\nAnswer: 15*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 757 = -3*o, -4*o + 0*u = u - 1002. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = -3*m + 23. Is 3\/m + (-1610)\/(-8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 182 - -113. Suppose -3*w + 4*w = 2*q + 8, 5*w + 5*q = 10. Suppose -4*z + 6*z = -2*d + 120, w*d - j = -5*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.745 - 0.94. Let j = b - 0.07. Let c = j - -0.1934. What is c rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 3:15 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -11*v**2. Let g(m) = 5*m**2. Let w(l) = 7*g(l) + 3*u(l). Let y(z) = -z. Determine y(w(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of u**4\/24 + 5*u**2\/2 + 18. Let p(i) be the second derivative of n(i). Let f(c) = 22*c. Give f(p(r)).\nAnswer: 22*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n\/(n**2*n*n))\/n)\/(n*(n\/((n\/((n\/(n*n\/(n\/(n\/n**(-1\/6)*n)*n)*n))\/n))\/n))\/n))**(-20)\/(n*n**(-10)*n*n**5)**(-38\/5) assuming n is positive.\nAnswer: n**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 1:23 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t + 3. Let q(m) = 11*m + 8. Determine 2*n(v) - q(v).\nAnswer: -17*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 52955.18g?\nAnswer: 52955180000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -775.578805 rounded to two dps?\nAnswer: -775.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(12) + sqrt(12))\/sqrt(4) + sqrt(75) + 1 + sqrt(75)) + 0 + -2.\nAnswer: -13*sqrt(3) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 2*h**5\/3 + 8*h**4\/3 - 4*h**3 - 24*h**2 - 18*h = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 8*f. Let z(h) = 479*h + 3. Calculate z(w(u)).\nAnswer: 3832*u + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k + 1\/3*k**3 + 7\/2*k**2 - 8. Determine u(-9).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v = -8. Let i(a) = a**3 - 5*a**2 + 5*a + 4. Let p be i(v). Let l(f) = f**2 + 2*f + 1. Let u be l(-3). Solve 0*w + u*w + p = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m + 167280180 - 167280180.\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, m: 4}. What is prob of sequence ddmd?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 92 + (18 + -4 - (21 + (14 - 21)))?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2 + 422613*j + 91000470.\nAnswer: -3*(j - 141086)*(j + 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 51563 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is c1c1b0 (base 13) in base 12?\nAnswer: 1616481","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02849485 rounded to five decimal places?\nAnswer: 0.02849","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(1100)*1)**2 - (sqrt(1100) + -2)*6.\nAnswer: -60*sqrt(11) + 1114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39646179 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*i**3 + 33*i**2 + 39 - 65*i**3 + 24*i**3 - 75*i.\nAnswer: 3*(i - 1)**2*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 11*a + 8*a + 1 - 1.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2862395, 3, -1, 2, 0, -11 in ascending order.\nAnswer: -11, -1, 0, 2, 3, 2862395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 95 + -93. Suppose -l + 1 = 0, -4 = -k*c - l + 5*l. Solve 2*j - 8 = -5*h, c*h - 6 = -4*j - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 13, m: 5}. Give prob of picking 1 v and 2 m.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(136)*-1*-2)\/(3*(sqrt(200) - (sqrt(200) - (sqrt(200) - (sqrt(200)*6 + sqrt(200)) - sqrt(200)) - sqrt(200)))).\nAnswer: -2*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j - 3*j - j + j.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vccahbh. What is prob of picking 2 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 579*r**5 + 531*r**2 wrt r?\nAnswer: 34740*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317.6385 rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -15*g**2 + 73*g + 11. Let q be z(5). What is the third smallest value in -0.1, q, -0.006, -3\/8?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 11:03 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -1 - 5 - 26*i + 3. Let s be z(-2). Let h be (0 + 1\/(-2))*-14. What is the greatest common factor of s and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46389737 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d - 67 = 0. Is 29 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -3*w**6\/40 + w**5\/30 - 5*w**4\/24 - w**2 + 106. Suppose 51*k - 60*k - 9 = 0. Let g(u) = -u. What is k*b(p) + 6*g(p)?\nAnswer: 9*p**3 - 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-75)\/6)\/((-11)\/913440). Round c to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1000, 229, -1476, -4115, -7688, -12195, -17636?\nAnswer: -24011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -334 + 516. Suppose 7*q = 8*q - r. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w - 18*w**4 - 5*w + 5*w + 9*w wrt w.\nAnswer: -216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4593 + 7162. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*1*(14\/(-8))\/((-490)\/420). Solve 2*c - 4*u + 17 = m*c, -5*u + 21 = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 5*w + 1033965, w + 4*w = 0. Let f = 486793 - a. What is f rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f**0\/f)\/f*f*f)\/f**(-1\/3))**24 assuming f is positive.\nAnswer: f**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*s - 0*s. Suppose -g = -4*y + 2*g + 5, 5*g = -s*y + 11. Suppose 7*j - 320000 = y*j. What is j rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = 3. Suppose 3*b + 3*x + 15 = 7*b, -d*b - 20 = 4*x. Suppose b = 6*v - v - 275. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -16*o**2 - 36*o - 31. Let m(t) = 3*t**2 + 7*t + 6. Let s(j) = -22*j**2 + j - 1. Let p be s(1). Let r(f) = p*m(f) - 4*k(f). Factor r(h).\nAnswer: -2*(h + 1)*(h + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/15)\/((-2)\/(-78)). Let a = 25 - d. Let n(m) = m**3 - 12*m**2 + 3*m + 2. List the prime factors of n(a).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 883090?\nAnswer: 2, 5, 13, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -2*h - 4, -2*h + t = 6*t + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -1059*c + 1054*c + 14, -6 = y - 3*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(78)\/(sqrt(96) - sqrt(6)) + -3 + (sqrt(52) - sqrt(13)) + 2 + 3)**2 + -3.\nAnswer: 406\/9 + 40*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at most as big as -8231791.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 56 - -61. Let a(o) = -21*o**3 - 38*o**2 - 10*o + 3. Let s be a(-2). What is the greatest common factor of b and s?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -3*n**2 + 52*n - 14. Let f be v(17). Solve g + 3*g = -5*o + 25, 0 = 2*g + f*o - 13 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - 1. Let v = -2.061 + 46.361. Sort v, t, -0.5, -0.3 in ascending order.\nAnswer: t, -0.5, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84cc (base 13) in base 7?\nAnswer: -104463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 76981289 to the power of 1\/3, to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2175327348 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*m + 28*m - 1075. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 83*l**2 + 4*l + 1. Let b(r) = 12*r**2 + r. Give 2*a(w) - 14*b(w).\nAnswer: -2*w**2 - 6*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from wwwawwwwwwwaw.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v. Let g(k) = -10*k + 16*k - 9*k. What is i(g(n))?\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36893, -148222, -333991, -594200, -928849, -1337938, -1821467?\nAnswer: -2379436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, o: 6}. What is prob of sequence ofof?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -265*z + 15119. What is the least common multiple of k(48) and 3?\nAnswer: 7197","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 20*u - 33. Let t be j(-18). Let h be 157\/1 + (-2 - 0). Suppose -2*v - t*v = -h. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173592350?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 74?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 3:49 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23852 + -23860. Let z = -0.1 - -0.3. What is the third smallest value in p, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-936)\/1638 - (-4)\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 580 and 703540?\nAnswer: 703540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of -77*s**6\/40 + s**5\/60 + s**4\/8 - s**2 + 6. Find the third derivative of h(j) wrt j.\nAnswer: -1386","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3188 (base 12) to base 6\nAnswer: -41052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -73 - -4?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.8, 0.\nAnswer: -0.8, -2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76266 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (-1*sqrt(204) + sqrt(204))*-2)\/(sqrt(432) - -2*sqrt(432)).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**3 + 23*b**2 - 168*b + 396 = 0.\nAnswer: 6, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32844 divided by 34.\nAnswer: 966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**2 + 24*z - 17. Let k be l(11). Solve 0 = -8*v + k*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.59332946 - -2\nAnswer: 2.59332946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 8 + 4 = -l, -83*o + 87*o + 6*l = -78 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 553, 2229, 5021, 8929, 13953, 20093?\nAnswer: 27349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/1*1*-50. Let y = u + -281. List the prime factors of y.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*12\/144*(-12)\/9.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -4*n + 107249, 6*d + 30036 = n + 3257. What is the hundreds digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-143 - -143) + (-2 + 4 - 16)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.04 - 0.68. What is g rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10\/367 + -23\/14313. Find the common denominator of n and 19\/1158.\nAnswer: 15054","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(13\/(154445265\/54)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - -5 - (0 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5229*a*f**4 + 2*a*f**2 + 28*a*f + 2*a - 27*f**6 - 4*f**2 wrt f.\nAnswer: -125496*a*f - 3240*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-269)\/2*(2 - 6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4455 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9840880 by -1405840.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + f = 4 - 0, -16 = -4*f for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(2\/3))\/n)\/n*n**(1\/5)*(((n**(2\/3)\/n)\/n)\/n)\/((n**(-1\/2)\/n)\/n) assuming n is positive.\nAnswer: n**(1\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 20 (b) 3 (c) 0.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-one quarters of a day?\nAnswer: 7560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 3225168*p + 1300213578528.\nAnswer: 2*(p - 806292)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -490 - -522.9. Let c = w + -33. Is c less than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -aa34b - -b?\nAnswer: -aa340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -158*m + 52 + 325 + 97 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.01, 0.5, -2, -5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 102 and 1056.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59076.4 litres in millilitres?\nAnswer: 59076400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, s: 1, r: 1, j: 1, y: 1}. Give prob of sequence rs.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a factor of 105229276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 12) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*d**3 - 239*d**3 - 143*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 12:57 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + v + 84. Let s be m(0). Let o be -49 - 5 - (-2 - -5). Let r be o\/s - (-1)\/4. Is r greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5643, 11245, 16753, 22119, 27295, 32233, 36885, 41203?\nAnswer: 45139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*b + 13094, 0 = 2*b - 12*p + 11*p - 5240. Is 4 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/19854 and 151\/17322?\nAnswer: 57318498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/238 + 1520\/170?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 PM and 5:44 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 11*l**2 - 3*l + 4. Is y(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.88*88475.\nAnswer: -166333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 plus 5.25?\nAnswer: 5.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m = -0*m + 2920. Let k = -268 + m. What is the remainder when 43 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 87, 988, 2487, 4584, 7279, 10572, 14463?\n\"Answer: 299*c**2 + 4*c - 216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.4 (b) 72 (c) 2639\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 173 (base 9) to base 16\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3408324345?\nAnswer: 3, 5, 23, 541, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 725328 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (6 - (-2 + 7 + -31 + 32 - -6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-16 - -7) + 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -116, -117, -116, -113, -108?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121622 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (15\/20)\/(-1 + 3 + (-150)\/40)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -51*x + 1. Let l(z) = -4 + 4 - 820*z + 818*z. Calculate t(l(v)).\nAnswer: 102*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyw when three letters picked without replacement from {l: 1, j: 1, f: 4, y: 1, z: 4, w: 1}.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -2*t**2 - 5*t + 1. Let a(y) = -3*y + 50. Let j be a(18). Give c(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 0. What is the remainder when 44 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p + 2. Let m be b(2). Differentiate m - 4 + 6*j**2 - 1 with respect to j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from huahachuiuuu. Give prob of picking 1 c and 1 a.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 w when four letters picked without replacement from vwapwawwmwmamwap?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.8668661 to 1 dp.\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**3 - 4*f - 1. Let g(c) = -5*c**3 + 3*c. Let j = 6 - -1. Suppose -9 - j = 4*b. Determine b*g(q) - 3*p(q).\nAnswer: 2*q**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(168)\/((sqrt(84)*-4)\/sqrt(7)))\/((sqrt(162) + -1*sqrt(162) + sqrt(162) + 3*sqrt(2)*1)*-1))**2.\nAnswer: 7\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n + 28. Let x(c) = -2*c + 72. Let f be x(28). Let b be h(f). Solve -b = d + 4*s, -5*s - 32 = -0*d - 3*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 - 595 = -z. Calculate the remainder when z is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/529268?\nAnswer: -1\/529268","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54001?\nAnswer: 54001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of -l**7\/840 + l**4\/3 + 2*l. Let z(n) be the third derivative of c(n). Let y(j) = -2*j. Determine z(y(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-4 - 1 - (-9 + 9))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9\/(-1) - 16\/(-1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t + 2*s + 316 = t, 5*t - 5*s - 140 = 0. What is the least common multiple of 432 and t?\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 85*i**2 - 13 + 18 - 225*i**3 - 5 + 4*i - 89*i. Let c(w) = 8*w**3 - 3*w**2 + 3*w. Give 170*c(l) + 6*f(l).\nAnswer: 10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4181 + 4187. Solve -8*v - i*v = -9*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-17)*u*u)**(3\/20))**(-16\/9) assuming u is positive.\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 3*i + 5*i + 6 + 4*i. Let d(g) = 8*g**2 + 17*g + 17. Determine 6*d(o) - 17*s(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 32 = -44. Differentiate -19*v + 2*v**2 + 47 - u*v - 6*v - 11*v wrt v.\nAnswer: 4*v - 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8764\/5 - -1759. Let q = 20974 - 146478\/7. Let h = q + -48. Calculate the common denominator of h and j.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.08 - -0.08. Let u = -3983 - -3983.1. Which is the closest to -0.3? (a) u (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 11:18 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of u**6\/360 - 7*u**4\/3 + u. Let k(t) be the third derivative of w(t). Let s(q) = q + 10. What is s(k(a))?\nAnswer: 2*a + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((8 - -4) + -11)*7\/(-5)*-5.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 675 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -530 - 69*z**3 + 530 - 182*z**3 + 55*z**3.\nAnswer: -196*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*m**2 + 13*m**2 - 27*m**2 + (5*m - m - m)*(m + 4*m - 3*m) + (2*m - 2*m + 2*m)*(2*m + 2 - 2) + 0*m**2 - m**2 + 3*m**2.\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kckk when four letters picked without replacement from iikefkieiijkkecfciie.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 3, o: 7}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) -207 (b) -3\/2 (c) -0.4 (d) -22 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*j + 2 - 10. Solve -r = -2*l - j*l + 15, 2*l - 3 = -r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/13351520 and -3\/32095.\nAnswer: 13351520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/12*(-2)\/(-21)*749\/107\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-16)\/(-14)) + 5\/(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3248575?\nAnswer: 3\/3248575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.01368 + -4.98632. Which is the smallest value? (a) u (b) 1 (c) -7\/67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316921 is divided by 19248?\nAnswer: 8953","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7\/14)\/(3\/10434). Is 1740 at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - (1 + (-8)\/5). Let i(g) = -g**3 - g**2 + 8*g + 11. Let j(h) = h - 8. Let a be j(6). Let k be i(a). What is the smallest value in 0.1, k, d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -816 - -1245. Calculate the least common multiple of 156 and l.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 2\/3, 5, 203 in decreasing order.\nAnswer: 203, 29, 5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 + 15. Let v = o + 28.0000016. What is v rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1730114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 11:00 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 654 divide 58668668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470757 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 151, -3, 5, -4, -7 in ascending order.\nAnswer: -7, -4, -3, 5, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkbkqrkmk. Give prob of picking 1 b, 1 q, and 2 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45325130 is divided by 138.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 224 a factor of 21541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 605 - 167. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 + 1.99. Suppose 0 = 8*k - 6*k + 8. Which is the nearest to 1\/4? (a) s (b) 2\/11 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 188 and 353.\nAnswer: 66364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 506782.\nAnswer: 2, 23, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3*h)**(-2\/5))**10 assuming h is positive.\nAnswer: h**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2204.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 105223777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136341.\nAnswer: 3, 15149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129099834 + 258199667 - 129099833 - 3*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884596197?\nAnswer: 3, 41, 61, 117899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-11860)\/8*(-28)\/70.\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 13*x**2 + 20*x - 5*x**2 - 5*x + 24. What is the tens digit of v(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/5 and -29\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 248 and 1488.\nAnswer: 1488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 25 + 16 + 2 + t.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10062 (base 15) to base 16\nAnswer: -c61d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 800?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(288)*-2 + 5*(sqrt(288) + 0) - (4 + -1 + sqrt(288) + -2))**2.\nAnswer: 96*sqrt(2) + 1156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/5 + 615\/25 + -1. What is the units digit of q\/16*(1167\/9 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*(0 + (sqrt(70) - -2*(sqrt(70) - sqrt(70)*-3))\/sqrt(10)).\nAnswer: -45*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*y**2 + 2 - 978*y - 980*y + 0 - 4*y**4 + 1957*y - 2*y**3 - 100*y**2 to the form x*y**3 + k*y + f*y**2 + s + w*y**4 and give f.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02147 - -0.03233. Is r greater than or equal to -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 300, 767, 1234, 1701, 2168, 2635?\n\"Answer: 467*b - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b**2 + b**2 + b**2)*(2*b - b - 2*b) - 2*b**3 - 6*b**3 - 5*b**3 as k*b**3 + g*b**2 + r*b + z and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-112))\/((-2)\/(-2))\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.7 - -0.4. Let q be (-22)\/5 - (-7 + 3). What is the closest to q in x, -3\/4, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16.8*102.97\nAnswer: -1729.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2678\/35 + -384\/5. Which is the nearest to -0.2? (a) -2 (b) 0.2 (c) -4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d + 3*d**3 - 34*d**4 - 2*d**2 + 35*d**4 - d**3 to x*d**3 + i + y*d**4 + k*d + l*d**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (13 + 0 + -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-52)\/(-40)*-2 - 3\/(-5). Let f(h) = -h**2 + 5*h - 3. Let y be f(1). Put -4, y, x in decreasing order.\nAnswer: y, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + -2. Let j be (-15)\/10*12\/27*-189. Let a(q) = -10*q**2 - 127*q + j*q - 1 - q**2. What is a(r)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x - x + 2*x + (-3 + 2 - 1)*(239 - 10*x - 239).\nAnswer: 19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20799174 is divided by 184?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000608054 to 7 dps.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2087 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 13) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = -8 - 433. Let u = 51 - p. Does 20 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201.8061176 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5159, -10569, -15995, -21443, -26919, -32429, -37979?\nAnswer: -43575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -14. Suppose -b*w + 15 = w. Let d(n) = -w*n - 6*n**2 + n + 2*n. Let t(x) = x. Give d(t(k)).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 710718 greater than 4975023\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 9*h - 6. Let w be d(9). Let b(v) = v**3 + 7*v**2 + 5*v - 3. Let i be b(w). Suppose 3*r - r + 3*z = 63, -69 = -i*r + 4*z. Is r a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 190*c*y**3 - 6869*c*y**2 - y**3 - 4622036*y + 1 wrt c?\nAnswer: 190*y**3 - 6869*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -139951, -280318, -420685?\n\"Answer: -140367*b + 416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 + -224. Let k = l + 240.3. What is the second biggest value in 3, 0.1, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51930?\nAnswer: 2, 3, 5, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + -7. Let v = 7 - o. Let l = v + 9. Solve -l + 5 = 4*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6952 and 28620752?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11122422 (base 6) to base 8\nAnswer: -1223216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 78732.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -52, -79, -106?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, t: 1, u: 1, m: 1, h: 1, v: 1}. What is prob of picking 1 h, 2 p, and 1 v?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 11*y - 2. Let b(n) = n**2 + 5*n - 1. Suppose -2*v - 21 = -g, -v - 8*g - 24 = -13*g. What is v*b(s) + 4*k(s)?\nAnswer: -s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 5*o - 13*o + 70 = 0. Sort -44, o, -23, -3 in decreasing order.\nAnswer: o, -3, -23, -44","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84) + (sqrt(84) - (1*sqrt(84)*-4 - sqrt(84))))*4)\/(sqrt(300)*-2 - -1*sqrt(60)\/sqrt(5)))**2.\nAnswer: 5488\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.6804 - -2.7404006. Let y = -0.94 + 1. Let u = x - y. Round u to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026926 rounded to 4 dps?\nAnswer: 0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 542226558.\nAnswer: 2, 3, 41, 2204173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1887*o = -1888*o + 9 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - (16 - (6 + 11 + -5))) + 33.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037485 a multiple of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 44*p - 31. Calculate the remainder when 176 is divided by r(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 6*y**2 + 7*y + 5. Let o be m(7). Suppose -o*x = -0*x - 3*h - 811, 0 = 5*h + 10. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -23095, -64634, -106173, -147712, -189251?\n\"Answer: -41539*m + 18444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgg when three letters picked without replacement from abzwggwa?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37446 and 14694?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1583\/30218 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.5 - 5.6. Sort 2\/3, -1\/3, q, 0.\nAnswer: -1\/3, q, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4697?\nAnswer: 7, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 118307.\nAnswer: 7, 16901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 17\/120*y**6 + 21*y + 0 - 1\/56*y**7 + 0*y**2 + 1\/3*y**3 + 1\/4*y**4 - 3\/8*y**5. Let o(m) = 0. What is m?\nAnswer: -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(18)\/(6*sqrt(384)).\nAnswer: sqrt(3)\/48 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*a**2 + 375428*a + 675738.\nAnswer: 2*(a + 37541)*(5*a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 2*f = 118 + 134, 5*f - 145 = -3*k. Let s = k - 53. Which is the closest to -1? (a) -1 (b) s (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 5 - 3)*(5*v - 2*v + 0*v)*(3 + 3 - 4) to b*v + j and give b.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwwq when four letters picked without replacement from {q: 15, w: 4}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 5*m = -121, 2*m - 151 = p + m. Let r = p + 159. Is r even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143.999665 + 144. What is o rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 - -40. Suppose v*t - 92 = 247. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0551 and -614.\nAnswer: 33.8314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -15 - 10. Suppose -a = h*s - 683, s = 4*a - 3*s - 2612. Suppose -d = -a + 72. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**17)**(-30\/13)*a**19*a**(-1\/16))**(1\/2) assuming a is positive.\nAnswer: a**(-4221\/416)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 21774.\nAnswer: 1\/10887","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 3*d - 40 = 0. Suppose d*g = 6*g + 24. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-51)\/(-34))\/((-2)\/(-24)*2). Find the second derivative of f*a - 3*a**3 + 6*a - 27*a wrt a.\nAnswer: -18*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -52*(-8)\/128 - 3. Sort -173, d, -2\/9 in descending order.\nAnswer: d, -2\/9, -173","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-8)*-6)\/(2\/(-4)). Let w(d) = 0*d**3 - 89*d**2 + 87*d**2 - 3 - i*d**3 - 5*d. Is 27 a factor of w(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -m**4\/4 + 7*m**3 - 143*m**2\/2 + 315*m - 2025\/4 = 0.\nAnswer: 5, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 y when four letters picked without replacement from yyiimieymiiim?\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 8*t. Let f(j) = -22162024*j. Calculate f(o(b)).\nAnswer: -177296192*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (367 - 383) + (0 - -9 - -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 - 1 - ((27 - (50 - -1)) + (15 - 2))?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4821*a + 55. Let u(y) = 2410*y - 30. What is 6*j(k) + 11*u(k)?\nAnswer: -2416*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42196.\nAnswer: 2, 7, 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 18*i - 14. Let l be n(17). Suppose -18 + 0 = -l*m. Solve k - 3*k - m = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85.343 times -1331\nAnswer: -113591.533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288)*1*3.\nAnswer: 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 7+6.84\nAnswer: 13.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 391 and 144173039.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -3*m**2 + 153*m + 12. Let n(j) = j**2 - 76*j - 7. Determine 5*n(o) + 3*z(o).\nAnswer: -4*o**2 + 79*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 3 r when four letters picked without replacement from {r: 5, p: 10, s: 4}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1538 divided by 769?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98448067?\nAnswer: 271, 363277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 1323056*r + 2646089. Give v(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i + 4 + 5*i + 2*i - 2*i to the form t + d*i and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -229, 8, -4, 5 in decreasing order.\nAnswer: 8, 5, -4, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 412 - 391. Let y be (1 - 6)*(-2)\/(-5). Let h = y + q. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-60 - -3) + 23804\/418\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 10:48 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/10)\/(((-42)\/105)\/(4\/95))?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from eeeffgefeggge?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6917660 or 6917658?\nAnswer: 6917660","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -2 - (-63)\/(-14)*10\/(-3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6018\/5 + 1204. Which is the nearest to 3.4? (a) k (b) -2 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 723 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 7:15 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7885117?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1743\/252 + (-20)\/(-240)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 1, r: 5, z: 7}. Give prob of sequence zm.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -14*p**3 - 4*p**2 + 7*p - 2. Give i(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of -2*t**7 - 9*t**3 + 21. Find the third derivative of y(b) wrt b.\nAnswer: -1680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, n: 3, a: 1, f: 4, u: 1, i: 1}. What is prob of sequence ilnn?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 9*x**2 + 10*x + 5. Let f be v(-10). Suppose 5 = -f*l + 15. Calculate the lowest common multiple of ((-8)\/24)\/(l\/(-84)) and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144880531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112c (base 13) to base 12.\nAnswer: 1484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/144288540 and -197\/53460.\nAnswer: 144288540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 49*y + 2089. What is the remainder when n(-15) is divided by 225?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 236\/30 - 8\/(-60). Suppose 30 = -s*r + 2*r. Let m = 2.5 + -3. What is the third biggest value in m, -1\/7, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21110 + -12231321?\nAnswer: -12210211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -3028328*b**2\/9 - 2355366*b + 14\/9 = 0. What is b?\nAnswer: -7, 1\/1514164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -180 + 90. Let b = 95 + y. Which is greater: -2\/19 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-2 - 1 - (9 + -9)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g + 376 = 3*a, 4*a + 2*g - 458 = 0. Calculate the greatest common factor of a and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -798.3 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 232\/145 + 108\/(-180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 2, d: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/51 in 0.4, -5, -0.01, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvv. Give prob of sequence vv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.21 and -16606.\nAnswer: 3487.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2111531623 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-160)*4)\/((-6)\/(-2)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 7 + 0*y**2 - 17*y**2.\nAnswer: -17*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2474 - -2434.03. Let x = n + -1.03. Let c = x + 42. Does c = -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9350478 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 310937123 and 8092?\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 27599996\/12 - (-2)\/6. Round i to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/147894062 and -91\/18?\nAnswer: 1331046558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 626 and -10.\nAnswer: -6260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - 3c7?\nAnswer: -3c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24 - -25.1. Let m = a + 1.9. Let w = -17 - -18. Is w less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-11)*i))\/(i\/(((i*i\/((i\/i**(-10)*i)\/i)*i)\/i)\/i*i))*((i*(i\/i**5)\/i)\/i)**24 assuming i is positive.\nAnswer: i**(-119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - p - 2 = 3*d, 3*d = 4*p - 5. Let c = 1 + d. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/10)*h**6\/h)\/((h\/h**(-1\/3)*h)\/h**(-6)) assuming h is positive.\nAnswer: h**(-97\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(88)*-4)\/(-1*sqrt(968)) + -5 + (-6*(sqrt(396) + -5 - sqrt(396)))**2 + sqrt(396))*6.\nAnswer: 324*sqrt(11)\/11 + 5370","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -223 + 220. Put 0, x, 2, -5 in decreasing order.\nAnswer: 2, 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/7 (b) -0.397 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**2\/(p*p**(1\/2)))\/(p**1)**(-3\/19))\/((p**(-2\/9))**(-3)*(p**(-2)*p*p*p)**(6\/11)) assuming p is positive.\nAnswer: p**(-695\/1254)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 402 and 2994.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -13 (b) -0.3 (c) 106 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30963682 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*l + c + 8 = -30*l, 2*c - 14 = 4*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 6242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 318 and 22661793.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 660 = -96. Let x(s) = s - 1. Let y be x(4). Is (4\/y)\/((-7)\/g) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/99 - (1 - 84\/22). What is the third derivative of -3 + 173*x**2 + 97*x**a + 3 + 0 + 68*x**2 wrt x?\nAnswer: 582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - -50534.6.\nAnswer: 50539.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/4? (a) 1 (b) 1\/4 (c) 737311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**2 + 5*t - 14. Is z(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1169*n + 12. Let l(y) = -2*y**2. Give l(p(s)).\nAnswer: -2733122*s**2 - 56112*s - 288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 239*n**3 - n**2 + 277?\nAnswer: 717*n**2 - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -68699\/193 at most -357?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4272 and 40762?\nAnswer: 978288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -665 - -985. Let d = -320.004 + b. What is d rounded to 4 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/6, 2, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-32)\/(-10))\/((-6)\/(-15)). Let n(x) = -5*x**3 - 6*x**2 - 3*x. Let r be n(m). Let i = r - -1268. What is i rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 78424202 and 1336.\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:37 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -108*c - 8635. Calculate j(-80).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-30)\/24))\/((-196)\/1813)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 - 1530*g**4 + 168660*g**3 - 7820210*g**2 + 128681655*g - 320094180 = 0. What is g?\nAnswer: 3, 28, 81, 97","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12 - -22)*(-4 - -7)*(-1)\/(-18). Let m(g) be the second derivative of 4*g + 8*g**2 - z*g**3 + 0. Differentiate m(w) wrt w.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -44, -2541 in descending order.\nAnswer: 5, 2, -44, -2541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-2))\/2*146\/(-1533).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 362634625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - v + (2 - 4 + 0)*(1107 - 1107 + 88*v))*(-3*v**3 + 0*v**3 - 6*v**3).\nAnswer: 1593*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -1\/60*k**5 - 5 + 1\/3*k**3 - 2*k**2 + 0*k + 0*k**4. Give a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50669368 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 44835, 0.04, -0.2, -2\/3, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 36 - 42. Let p(x) = -x**3 - 4*x - 10. Let h be p(y). Suppose -h = -4*o + 39. Is o bigger than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412*z + 414*z = -2*k + 2, -8*k + 4*k + 222 = 113*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2702*(-16)\/96)\/((-1)\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3 + -1.1. Let h = k + 0.4. Let f = -13 - -8. What is the third biggest value in h, 0.1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35 - -29. Let x(f) = f**3 + 6*f**2 - f - 3. Determine x(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 2 (b) -5 (c) 265 (d) -1\/76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0, 0.4, -148, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -289385, -578775, -868165, -1157555, -1446945?\n\"Answer: -289390*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 440 in 0.8, -5, 0.3, 3\/7?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*l - 2*l - 3*l + (3 + 8 - 5)*(-2*l + l - l).\nAnswer: -13*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3160 + -3160.12035. Let n = -2.12 - -2. Let g = n - p. Round g to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/19 (b) 0.5 (c) -5 (d) 544 (e) -1\/2 (f) -2\/17 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t - 4 + 10 - 3*t + 3*t. Let v(m) = 770. Let z(u) = -123. Let r(h) = -4*v(h) - 25*z(h). Give 2*l(i) + 3*r(i).\nAnswer: -2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -14. Let d = m - -4. Suppose d = -4*w + 2*w + 26. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (0 + -3) - 6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 12:16 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 30 = 10. Suppose -7*u = j*u + 781. Let i = u + 80. Solve v + 2*v = -i for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -4*m + 3776, 0 = -3*y + 12. What is m rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 9*l = 55*l - 306. Suppose 0*s + 5*p - 88 = -4*s, 3*p = 0. Suppose -2*o + 13 = 5. Solve -o*h + s = l for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t**3 - 13*t**2 + 13*t + 315. Let s(y) = 5*y**3 - 6*y**2 + 6*y + 157. Let r(c) = 6*a(c) - 13*s(c). Differentiate r(g) wrt g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 33*g**2 + 4. Let u(o) = o**2 + 1. Calculate i(t) - 4*u(t).\nAnswer: 29*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**3\/3 + 25*x**2 - 264*x - 868\/3 = 0. Calculate x.\nAnswer: -1, 14, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1920\/377 - 54\/29. Let v = -517\/156 + j. Which is smaller: v or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32729796 to the power of 1\/2, to the nearest integer?\nAnswer: 5721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -151, -7.6, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -348833*n**2. Let o(m) = -4*m. Determine w(o(r)).\nAnswer: -5581328*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203 + 685 + 629 - 11 + 215)*(l + 2 - 2).\nAnswer: 1315*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wniiiinwipwivp. What is prob of picking 1 v and 2 w?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-2704))\/(383\/44811)?\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**(-1))**(-1\/11)*(z*(z\/(((z*z**(-1))\/z)\/z))\/z)**17 assuming z is positive.\nAnswer: z**(560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4 (b) 18 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from doidz. Give prob of picking 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = w + 25. Suppose 5*i - 18 - 42 = 0. Solve -3*q = -u + 6, 0 = w*u + 3*q - i for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1713*k - 172286 = 1096*k + 4034*k + 231451 for k.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 100455951 - 376014?\nAnswer: 100079937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 28847.094 to the nearest ten.\nAnswer: 28850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000117 rounded to six decimal places?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 36. What is the highest common factor of i and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78983.5578523 - 0.05?\nAnswer: -78983.6078523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.95 + -1.85. Sort 4, h, 0, -0.9 in increasing order.\nAnswer: -0.9, 0, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 4, 1, -15, 58, -4, -1 in ascending order.\nAnswer: -15, -11, -4, -1, 1, 4, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -232, 0.126, 1 in decreasing order.\nAnswer: 1, 2\/7, 0.126, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2132 by 41.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 12*t**2 - 10*t - 34. Give n(13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 3*t + 26, -2*y - 52*t + 92 = y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -2\/193603?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42917 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose -13*q + o*q = -165. Let v be (-3)\/(-9) - (-25)\/q. Solve 0 = -x + v - 6 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 + -0.04. Let m = -5.793 - 0.107. Let g = m - -5.4. Put -2\/9, r, g in ascending order.\nAnswer: g, r, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2111 + -2077. What is the least common multiple of 29 and s?\nAnswer: 986","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 340 and 1620.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -20*i**3 + 25*i. Let h = 36830 - 36824. Suppose 3*a = w - 40, 13 + 12 = 2*w + 5*a. Let d(v) = 5*v**3 - 6*v. Determine h*p(f) + w*d(f).\nAnswer: 5*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 365.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 73*a + 157. Let d be p(-2). Suppose 1359 = d*k - 621. Calculate the greatest common factor of k and 135.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.755 + -0.045. Let z = h + 6. What is z rounded to 0 dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**5 - 11*d**4 - 10*d**3\/3 + 10*d**2 + 19*d\/3 + 1 = 0. Calculate d.\nAnswer: -3, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - m = -14 + 6, -5*a + 1 = 2*m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - 6*w**2 + 2*w**2)*(0 + 0 + 3) - 106*w + 106*w - 20*w**2.\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + p - 10. Suppose v - 3*t - 14 = 0, 4*v = 2*v + 5*t + 24. Suppose i + 9 = -5*y - v*i, -4*i = 3*y + 12. Give n(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 + 3*n**2 - 5*n**3 + 17*n**3 to u*n + p*n**2 + l + s*n**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 20*f + 1054 = 0. Let c(p) = -p**3 + 4*p**2 + 8*p - 11. Let a be c(5). Put f, a, -3 in ascending order.\nAnswer: f, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 314*x**3 - x**2 + 3*x - 1. What is the units digit of t(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112313313301 (base 4) in base 3?\nAnswer: 102021121222201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011002212 - 12?\nAnswer: -1011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.8, -3, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(-2\/39)*j)\/((j\/j**(-1\/25))\/j)*j**(-1)*j\/(j**15\/j) assuming j is positive.\nAnswer: j**(-9839\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/15 + 1386*r**2\/5 - 714096*r\/5 - 6539616\/5.\nAnswer: -2*(r - 1044)**2*(r + 9)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22 and 79310?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/11)\/(t*t**(1\/4))*t**4\/(t\/(t\/t**(2\/3)))*(t**(-2)\/t*t*t*t*t\/((t*t\/t**(-3))\/t)*t*t)**(-34) assuming t is positive.\nAnswer: t**(4787\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -105412544 by 333584.\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/12 - (-38)\/8. Suppose 36*x = 38*x - 494. Suppose 0*v - 3*k + x = a*v, k - 179 = -3*v. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + ((0 + sqrt(847) + -5)**2 + (sqrt(847) + sqrt(847) + -2*1*sqrt(847) + sqrt(847))**2 - (-5*-2*-1*sqrt(847))**2)).\nAnswer: 110*sqrt(7) + 82979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 269?\nAnswer: 268.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-115 - (36 - 56 - -41))?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/3)\/(2\/6). Let d = 4 + -15. Let v = 2 - d. Solve 3*m + v = -g*q, -3*q - 22 = 2*q - 2*m for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 4*o**2 + 3*o. Let j be m(-5). Suppose -2*x + j = 2. Does 2 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03325*23.\nAnswer: -0.76475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -1) + (2 - 2). Let b(i) = 23*i**2 - 1. Calculate the common denominator of f\/10*1010\/(-4) and b(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 - 3*m - 5. Let t = 8 + -4. Let v be u(t). Let n(l) = -3*l**3 - l**2 - 2*l + 1. Let h(z) = z**3 - z. Let s(j) = 3*h(j) - n(j). Calculate s(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 + -8 + 7 + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {o: 1, k: 2, w: 3, f: 1, a: 4, x: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-24)\/(-416))\/(2\/(-8)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.7, -1, 19.\nAnswer: -1, -0.7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 0 - 15) + -381 + 389\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.1434092 years?\nAnswer: 0.01434092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 476*f**3*p - p + 7 wrt f?\nAnswer: 1428*f**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 672599026?\nAnswer: 2, 11, 30572683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3*y - 2*f**2*y**2 - 86*f**2 + 174*f*y**2 wrt f?\nAnswer: -12*f*y - 4*y**2 - 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 524312?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - -1) + 7\/22. Let q = 16 + -27\/2. Let h = f - q. Which is the biggest value? (a) -0.6 (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 12*x**2 + x - 6. Let i(m) = -11*m**2 + 5. Let r be 5 - ((-4)\/1 - -5) - -2. Let t(n) = r*i(n) + 5*z(n). Find the second derivative of t(j) wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14824488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-10)*10710\/(-612)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 255918052 divided by -13.\nAnswer: -19686004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*o*s*v**3 + 42*o*s*v - 14*s*v**2 - 3*v**3 + 2*v**2 - 30 wrt o?\nAnswer: 3*s*v**3 + 42*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12191367*j**3*m**3 - 10772286*m**3 wrt j.\nAnswer: 36574101*j**2*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (((-253)\/23)\/55)\/((-2)\/5)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249157 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f - 5. Suppose 4*b + 9 - 1 = 0. Let z(g) = 4*g + 26. Let u = -1 - 10. Let v(p) = b*z(p) + u*i(p). What is the first derivative of v(n) wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1218, 2074, 2930, 3786?\n\"Answer: 856*m + 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 17, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 15. Let x = a + -10. Let y(q) = -q + 2. Let n(d) = -7 - 4 + 5 + d + 3. Give x*n(s) - 5*y(s).\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-6)*0\/(-1). Suppose r = -3*k + 9 - 0. Let l = -24 + 24. Solve -k*j = -l*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/24 and 3 - ((-1375)\/(-30))\/11.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + u - 1 = 5*u, 3*u = 3*s - 3. Suppose -3 = -4*g + 4*b + 45, -s*b + 34 = 4*g. Does 5 divide 5\/g*20*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 1 + 1. Differentiate 4 - 2 + 6*i - c*i + 1 with respect to i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4407.1+0\nAnswer: 4407.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from doodoooodooooo.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1558, -1 in ascending order.\nAnswer: -1, 2, 1558","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 2*m**2 + 2*m - 1. Let z be 1 - 15\/(4\/(-4)). Let h be -1 + -1 + z\/4. Calculate r(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x - 10*x - 2*x + (-2 - 2 + 2)*(x - 3 + 3) + 0*x + 0*x - 2*x + 0 + 3*x + 0.\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 38 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2645601 and 1113?\nAnswer: 1113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2294*g**2 - 2865*g**2 + 5124*g**2 + 7903*g**2.\nAnswer: 12456*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 661 + -427. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -263683\/15 + 17565. Let g = -66\/5 - y. Let r = -0.1 - 0. What is the second biggest value in r, g, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*d - 11*d - 538 = 58*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {d: 11, c: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 23, 106, 4, -2 in descending order.\nAnswer: 106, 23, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 61376.89 decades in months?\nAnswer: 7365226.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 8:06 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + x**3 + 1)*(0*x**2 + x**2 + 0*x**2) + 22418*x**5 - 49919*x**5 + 20959*x**5.\nAnswer: -6541*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16*o + 17*o - 31622 = 0, 5*k - 39538 = 4*o. Is 65 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1153, -1132, -1051, -874, -565, -88, 593?\n\"Answer: 6*w**3 - 6*w**2 - 3*w - 1150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -156*p + 5006. Give g(32).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (63 - 70 - (20 - 0)) + 8\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of -g**4\/12 + 3*g**3\/2 - 13*g**2\/2 + 11*g + 5. Calculate k(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16.5 - -2.41442.\nAnswer: -14.08558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 30332268 and -0.03.\nAnswer: 30332267.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 7*u**2\/2 - 1121. Let q(t) = 10*t. Determine q(l(b)).\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 7. Let d(i) = 5 + 1 - 5 + 3*i**2. What is the units digit of d(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*c**2 + 808428*c + 46196.\nAnswer: -(c - 23098)*(35*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 38*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -19?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -3\/4 (b) -3 (c) -0.3 (d) -83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 8*b - 10*b - 4*u, 0 = 3*u + 9 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -79*o**4\/24 - 65*o**3\/6 + 55*o**2 - 7*o - 8. Let i(j) be the first derivative of v(j). Differentiate i(s) wrt s.\nAnswer: -79","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 11:04 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 519808.\nAnswer: 2, 31, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3910\/(-255) + (0 - -8) - -8. Let h be -2 + (9\/4 - 0). Sort h, -0.1, y.\nAnswer: -0.1, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1\/9)\/((-6)\/(-36))*24. Suppose -w = -a + 1. Calculate the greatest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 9*n**2 - 2*n - 3. Let h be a(-9). Round h to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 101)*-1 + 1. Calculate the highest common factor of 12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -248.748795 to 0 decimal places.\nAnswer: -249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3507 - -2069. Let y = g + 2697. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -6 (c) -1 (d) -0.2 (e) 6 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/(c*c*c**(1\/8))*c*c)*c*c**(-1\/6)*c*c*c)\/(c**(-2\/7)*c*c)**(-41) assuming c is positive.\nAnswer: c**(12305\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -477 * -23.\nAnswer: 10971","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/3050 and -61\/8850.\nAnswer: 539850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + 0)*6)**2 - (-2 + sqrt(20)\/sqrt(4)).\nAnswer: -sqrt(5) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:54 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, f: 3, y: 4}. Give prob of picking 2 f.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12215*c*g**2*x + 6*c*g**2*y - 2*c*g - g**2*x + 79*g**2*y - 2*g*x*y - 20*g*x + 20*g*y with respect to c.\nAnswer: -12215*g**2*x + 6*g**2*y - 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-95)\/15)\/(1\/(-3)). Suppose -s + d = -3*t, -s - s + 14 = -3*t. Is (-1 - -839) + (-11 - t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1142 + -1136. Solve 5*h - d = 2, -2*h + 2 = 2*d - z for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*h**3 + 23*h**5 + 67434*h - 67434*h + 6 - 6 + (h**4 + 6*h**2 - 6*h**2)*(0*h + h + 0*h).\nAnswer: 24*h**5 - 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 580 + -582. Let i(h) be the third derivative of -h**5\/30 + h**4\/24 - h**3\/6 - 30*h**2 - 3*h. Calculate i(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 570 - 330. Suppose -q = -12*n - 12. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*b**2 + 0*b + 3*b**2 + 9*b - 6*b**2 in the form x*b + h*b**2 + a and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-210)\/18 + 11)*(-6)\/(-10).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ph when two letters picked without replacement from {p: 3, h: 7, q: 2}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -11. Let n be (-26)\/40 + (-1)\/(-4). What is the smallest value in n, -2, x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/6*(-5)\/((-75)\/2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 324 - -25. Let b(o) = o**2 - 4*o - 2. Let h be b(5). Suppose 4*k = -h*v + s, 5*v - k - 599 = k. Calculate the greatest common divisor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -118*w + 1532. Calculate g(9).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.03 + 0.23. Let y = 0.3 + d. Sort 2\/5, -2, y in decreasing order.\nAnswer: y, 2\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -1988*f**2 - f - 2. Let d(c) = c**3 + 16*c**2 - 2*c - 34. Let l be d(-16). Let y be u(l). Is (2 + y)\/(-5) + -1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 times -0.892\nAnswer: 0.05352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 196 + 2*r + 146 - 4*r**2 - 2 + 260 as y*r**2 + x*r + b and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 1709 = 4*u + 1947, 3650 = 4*i - u. List the prime factors of i.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 122, 151, 200, 275, 382, 527, 716?\nAnswer: 955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, v: 4, d: 2, p: 3, z: 1, g: 8}. What is prob of sequence zv?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + (2 - 10) + 19 + (9 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-129\nAnswer: -25.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*s + 5. Suppose 6*q - v = q + 220, -132 = -3*q + s*v. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*s - 7, 2 = -4*s - 2. Does 7 divide (l - -4) + (2 - -230)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2664.6 - 2933. What is i rounded to the nearest 10?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 124115652?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.46072mm to meters.\nAnswer: 0.00546072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 37552404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**5 + 5*h**5 - h**5)*(0 + 0 - 1) + 697*h**5 - 8039*h**4 + 8039*h**4.\nAnswer: 695*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.089 + -3.089. Let u = -3.2 - -0.2. Let l = -3.5 - u. Which is the third biggest value? (a) l (b) 0 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892 a factor of 537011694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 947, 931, 915?\n\"Answer: -16*g + 963","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96344543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(5))**2 + 2)*-3 - (sqrt(80)*-2 + 2)) + (1 + ((sqrt(180) + (sqrt(180) - -1*sqrt(180)))\/sqrt(3))\/(-2*1*sqrt(12)))**2.\nAnswer: -43\/4 + 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 2*n**2 - 6*n + 3. Let p(c) = -5*c**2 + 14*c - 7. Let s(i) = 7*b(i) + 3*p(i). Let f(o) = 134*o. Calculate f(s(r)).\nAnswer: -134*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 22*v + 1800.\nAnswer: -2*(v - 25)*(v + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/4, -395, 1243761?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of h**2\/2 - 1427. Let k = 17 + -17. Let g(f) = 2 - 2 - 32*f**2 + k + f. What is c(g(x))?\nAnswer: -32*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 324242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - -4 - (9 - 2) - -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 5*f - 55, -7*f + 3*f + l + 41 = 0. Let t be -4*(-1)\/(44*5\/f). Put -5, t, -0.2 in descending order.\nAnswer: t, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/6)\/(-5)*(-200)\/3000\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3659 times 2.08?\nAnswer: -0.761072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 1. Let s be 12\/20 + 411\/15. Suppose -s*p + 28 = -0*p. Let o(v) = 4*v + 3. Let c(j) = -j**2 - j. Let h(n) = c(n) + o(n). What is p*h(f) + 3*g(f)?\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 284\nAnswer: -3\/284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437677049?\nAnswer: 437677049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106594, 111353, 116102, 120835, 125546, 130229?\nAnswer: 134878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3\/2 - 3522*z**2 - 926637*z\/2 - 912537 = 0. What is z?\nAnswer: -123, -2, 2473","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xjxxxxjzexjjxezjexx. What is prob of sequence jjx?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/9)*l)**(-43)*(l**(1\/6)*l)**25)**(7\/10) assuming l is positive.\nAnswer: l**(-2947\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 36784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 121 + -118. What is the remainder when 7 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3541\/12 + 923\/3. Calculate the common denominator of d and 45\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 227\/5 - 45. Which is the third biggest value? (a) 30 (b) y (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4204.4 + -4711. Let o = s + 507. Let u = -7 + 3. Which is the second biggest value? (a) u (b) o (c) -1 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589181975?\nAnswer: 5, 479, 49201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.7868427kg?\nAnswer: 0.0007868427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -9, 2*s + 141 = 5*i - 75. Suppose 6*c + i + 0 = 0. What are the prime factors of 1*100 + (-10 - c)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 6 - ((-1 - -3) + -8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/2808 and -145\/1368.\nAnswer: 53352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 3) to base 8\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7873 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffffffffff. What is prob of picking 4 f?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 6*c**2 + 19*c - 39. Give o(6).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2*-2*(-4)\/(-8). Solve -5*b = -l + 19, 0 = 3*b - l + r*l + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-2 - (-1)\/2). Let u(c) be the third derivative of c**6\/120 - c**3\/3 + 3*c**2. What is u(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 392504*w - 1177526*w + 392508*w + 392512*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 14*u - 137. Calculate the remainder when 48 is divided by b(-21).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, w: 6, u: 6, p: 1, l: 6}. Give prob of sequence uul.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/5*((-3)\/(-6) + -1). Which is smaller: 8 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84865 a multiple of 160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*z**2 - 47*z**2 + 17*z**2 - 11*z**6 wrt z?\nAnswer: -1320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.6091nm to kilometers.\nAnswer: 0.0000000000886091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124982369.\nAnswer: 163, 766763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 48459777 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(243) + 0)**2 + sqrt(243) - sqrt(243)*-1*5.\nAnswer: 72*sqrt(3) + 244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185226353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -831 - -5489. What is the highest common divisor of o and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243)*2)\/sqrt(9) + -6*sqrt(27)*-1)\/(sqrt(324)*-2*-3).\nAnswer: 2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrmg when four letters picked without replacement from {s: 1, h: 1, r: 2, m: 1, g: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16214 is divided by 49.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m**3 - 3090*m**2 + 351695*m - 2308740 = 0.\nAnswer: -717, 7, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 299 = b, b - 4*d + 307 = -0*b. Let a = b - -319. Solve 2*c + a = -4*x, 3*c = -c + 2*x + 8 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 36?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 - 3 = 0. Let f = w + -1. Suppose -5*u + 26 + 38 = 4*b, 0 = -b - f*u + 13. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38556?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 4*d + 57, -7*d = -138*t + 134*t + 38 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4513, 4528, 4543, 4558?\nAnswer: 4573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132560*k**2 - 208509*k**2 + 67116*k**2.\nAnswer: -273953*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 24 = -u, 5*u + 16 = 2*q - 0*q. Suppose 0 = -2*r - 4*m + 24 - 0, 5*m = -3*r + 33. Let x = 26 - 8. Solve -5*l = -3*w + x, l - r*w + w = -q for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/v*v**4\/v)\/(v*v**4\/v*v\/(v\/(v\/(v\/(v*((v*v**(-3))\/v*v)\/v*v*v))))) assuming v is positive.\nAnswer: v**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k + 21. Let s(x) = 2*x + 20. Determine -3*p(b) + 2*s(b).\nAnswer: -2*b - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139*u + 72760157670 - 72760157670.\nAnswer: -139*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/184810 and 71\/33857192.\nAnswer: 169285960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, v: 2}. Give prob of picking 3 c and 1 v.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 276*o + 4*o**2 - 154*o + 11*o**3 + 433*o + o**4 as t*o**2 + m*o**3 + v*o**4 + j*o + a and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, g: 1, y: 1, u: 1, n: 2, i: 1}. Give prob of sequence yin.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3057\/3057)\/(2\/(-16))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 5*k + 10*k + 26 = 0, -685*y = -687*y - k + 14 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 34615 times 83\nAnswer: 2873045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 0 = 2*l - 22, l = s - 10. Calculate the remainder when 20 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26118 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16428 and 177119?\nAnswer: 78640836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10740 and 500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8*h = -342. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 6.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {x: 6, r: 3, e: 8}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 9*n**2 - 20*n - 16. Let b be o(11). Let c(s) = 3*s**2 + 102 + b*s**2 - 82 - 11*s + 5*s**2. Is c(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 - -0.51. Let r be 4\/18 + (-40)\/(-225). Which is the third smallest value? (a) -2 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uppuuxelplupupuee. What is prob of picking 1 x and 1 u?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-1)*35\/(9 - 2). List the prime factors of ((-2)\/u)\/(18149\/1210 - 15).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2195486\/120483 - -2\/13387. Let p = 1166\/63 + d. Factor 0 + 0*q - p*q**3 - 4\/7*q**2 + 6\/7*q**4.\nAnswer: 2*q**2*(q - 1)*(3*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000182 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/11 - 6*q**3\/11 + 4*q**2\/11 = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/13*k**5 + 4\/13*k**3 + 0*k**4 - 2\/13*k + 0*k**2 + 0.\nAnswer: -2*k*(k - 1)**2*(k + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*d = 22, 0 = -5*c + 3*d + 198 - 220. Let w(k) = k**2 + 1. Let v(b) = 5*b**2 + 2*b. Let s(n) = -v(n) + 4*w(n). Determine s(c).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/36*-3*6\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.46 - 8.56. What is the nearest to x in 0.9, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 7906694126706.7.\nAnswer: 7906694126707.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19*(40\/(-95) + 20\/190).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8805, 35777, 80917, 144225, 225701?\n\"Answer: 9084*g**2 - 280*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 69 + 19 + -24 + 7 - (-1 - 2).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2828.9 - 2829. Which is bigger: l or -2\/51?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c\/(c\/(c**(-3\/5)\/c)*c*c*c))\/c)**(-1\/7) assuming c is positive.\nAnswer: c**(18\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.996911nm to micrometers.\nAnswer: 0.007996911","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*i**2 - 46*i - 4 = 0.\nAnswer: -1, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 895864524.26 - 938107094. Let i = v - -42242610.73999943. Let b = 41 - i. What is b rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 541 + -374. Suppose 5*c - l = 48. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6210*a. Let i(b) be the first derivative of b**3 + 9953. Give p(i(c)).\nAnswer: 18630*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*a = -24*a + a - 441 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 36938686*g + 14709527 wrt g?\nAnswer: 36938686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 56.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, i: 7, n: 2, e: 3, o: 1}. What is prob of picking 4 d?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 1. Let x(j) = -j**3 + 3*j**2 + 7*j + 7. Let t(z) = 5*k(z) - x(z). What is t(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 619 = -2*j, 64*j - 61*j - 931 = 2*v. Solve 36 = -j*l + 319*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/5658323 or -1?\nAnswer: 3\/5658323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3858729204 and -501.\nAnswer: 3858728703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (((-1)\/2)\/(25\/60))\/((-57)\/(-95))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 403 - 400. What is the closest to -0.1 in -8\/5, c, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1. Let o(t) = 3*t + 11. Determine -3*a(r) - o(r).\nAnswer: -3*r - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10516757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -58.5, 1, -0.2, -0.0767?\nAnswer: -58.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17 + 154\/9. Let w = 27\/55 + -1\/11. What is the closest to 0.1 in 1\/3, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (9 + -11) - -31 - (-5 - -27)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 5:28 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1\/24299?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(-4)*n*((n\/n**(-2))\/n)\/n assuming n is positive.\nAnswer: n**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -28. Let x = -17 + 21. Let s = -8 + x. Which is the smallest value? (a) -5 (b) s (c) -1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.04 + 32.96. Let d = x + 2. Let k = d + -35.066. Round k to two dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2297 and 72\/25 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -6 + -8 - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*(115\/20 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/2912 and -121\/312.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 6*k**2 - 50*k - 1926. Let c be t(23). Let z(g) = -2*g + 2. Let u be (2 - 9) + (1 - 0). Let i be z(u). What is the greatest common factor of i and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6 + 3. Suppose 5*u + 1 = -h + 3*h, -h + p = 0. Find the third derivative of -4*c**6 - 4 + 3 - 3*c**2 + u wrt c.\nAnswer: -480*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 2140?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/10525596 and 79\/18.\nAnswer: 31576788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - p + 2*p - 36 = 0, -3*p - 25 = -4*u. Let v(y) be the first derivative of u + y**2 + 0*y**2 - 19. Let n(i) = 8*i**2. What is n(v(b))?\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**6\/90 + 53*f**5\/60 - 61*f**4\/3 + 1528*f**3\/9 - 2080*f**2\/3 + 3801*f. Factor u(o).\nAnswer: (o - 4)**3*(o + 65)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 674.794 seconds?\nAnswer: 674794000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2306717, -4614192, -6921669, -9229148, -11536629, -13844112?\nAnswer: -16151597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -180*x + 29303. Calculate t(160).\nAnswer: 503","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/418689834 and -10\/67.\nAnswer: 418689834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102) + sqrt(102) + 5*(1*sqrt(102) - sqrt(102)))\/sqrt(6).\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 18658127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 13) to base 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -5*k**2 - 10. Let z(m) = 17 - 70 + 14 + 25 + 15. Determine q(p) + 10*z(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54275.\nAnswer: 5, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117*0.5.\nAnswer: -58.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4 + (-6 - 1 - 2) + 3. Sort i, -5, -11, -6.\nAnswer: -11, -6, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + (-135)\/10 - 11\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 540\/(-16))*-4. Suppose 3*n + b = 375. Suppose -a + n + 41 = 0. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/2))\/f*f*f*f**(-7)*(f**1)**(-7) assuming f is positive.\nAnswer: f**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 21*c**5 + 12*c**3 - 12*c**3 + (3*c**3 + c - c)*(-17*c**2 + c**2 + c**2) + 3*c**5 - 3*c**5 + 2*c**5 + (2*c**2 + 3*c**5 - 2*c**2)*(3 + 1 - 2).\nAnswer: -16*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3 + 515. Let i(h) = -82*h**2 + q*h**2 - 88*h**2 - 85*h**2. Let b(y) = 268*y**2. What is i(b(a))?\nAnswer: 71824*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152*q = -128*q - 1296. What is the lowest common multiple of q and (-2)\/(-5) + (-236)\/(-10)?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 372091290 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-2)*(-10)\/(-175)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/9 + 4\/45. Let j = -0.3 + 1.3. What is the biggest value in -4, k, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10736 divided by 671.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*z - 9618 = 3158 + 715 - 741 for z.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 203*j**2 - 260*j**2 + 460*j**2 + 3.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 1 = -5. Is t at least -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r**3 - 2*r + 2*r)*(r - 1 + 1)*(-24243*r + 4859*r + 39 - 39).\nAnswer: 38768*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/5)\/((-50)\/(-50)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 0.3 (c) 3 (d) -1121 (e) 5\/51\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/8 - 6881\/2. Let f = r + 48091\/14. Calculate the common denominator of f and -71\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l + 2*l - 2*l)*(-10 - 8 - 11)*(-16 + 20 + 35) to r*l + z and give r.\nAnswer: -4524","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -2 + (-14)\/(0 - 2). Let t(k) = -k**3 + 4*k**2 + 2*k + 1. Let n be t(p). Let f(b) = 2*b - 4. Is f(n) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 119\/2, -0.06, -0.01 in descending order.\nAnswer: 119\/2, -0.01, -0.06, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (70\/(-30))\/(6\/(-36)). Let u be (-5 - -3 - 40)\/1. Let j be u*1*5\/(-10). What is the greatest common divisor of j and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.47915ng in micrograms?\nAnswer: 0.01047915","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 22*w**2 + w**3 + 1 - 18*w**2 + 0*w**3 - w. Give s(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4*x - 14*x - 3*x)*(-5*x**2 + 5*x**2 + 6*x**2) - 4*x**3 - 3*x**3 + 5*x**3)*(-2 - 1 + 5) to p*x + j*x**2 + h + y*x**3 and give y.\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 52 = 5*v - v, -3*v + 23 = k. What is the highest common factor of 112 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189 - 24*d**3 - 189.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13501, -13703, -14045, -14527?\nAnswer: -15149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60, 38, 12, -18, -52?\n\"Answer: -2*n**2 - 16*n + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57973 - 115941 - 2*x + 57968.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 - w**2 - 3*w. Let o(p) = p - 5 + 15 - 10. What is -i(x) - 3*o(x)?\nAnswer: x**3 + x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 236 + -233. Suppose 0 = -3*i - 5*l + 9, 0 = a*i + 3*l + l - 9. Let k(d) = d - 7. Calculate k(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 14476320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/12 and 31\/64908?\nAnswer: 64908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**4\/4 - 77*z**3\/4 - 11607*z**2\/2 + 345953*z + 714962 = 0.\nAnswer: -146, -2, 59, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 3*l**2. Let m(f) = -2*f + 13*f - 5*f - 5*f. What is d(m(k))?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 47.236 and -1.\nAnswer: -47.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -1\/5, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337175 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.3 * 14.9.\nAnswer: -19.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 65?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*n + 354 - 349, 0 = 13*n - 22*r - 75 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3847.\nAnswer: 3847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8)\/r)**47 assuming r is positive.\nAnswer: r**(-423)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35552102459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 31?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 101*q - 4. What is y(1)?\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8682.\nAnswer: 2, 3, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 955? (a) 1190 (b) 0.3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 106*c - 91*c + 75 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -19. Let z be q\/(-6) + (-2)\/6. Let k be 3\/12 + (-4)\/16 + 2. Sort k, z, 4.\nAnswer: z, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 884 divide 2038504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -160961, -160958, -160955, -160952, -160949?\n\"Answer: 3*n - 160964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 798872 to the power of 1\/2, to the nearest integer?\nAnswer: 894","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.103 (b) 8\/7 (c) 2 (d) -3 (e) -0.97 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1664 = -7*r + 15*r. What is the greatest common divisor of 130 and r?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 2, -0.3, -2, 266, -2\/3, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 858, 862, 876, 906, 958, 1038?\nAnswer: 1152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**2 - 24*v - 60. List the prime factors of c(26).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1670668 minus -0.5?\nAnswer: 1670668.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*b = -194*b + 279*b - 2758 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2636526261 divided by 3?\nAnswer: 878842087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -r + 6, 5*p - 2*r = 16. Let q(u) = 0*u + u + 0 + 1. Let x(c) = -4*c - 7. Let h(m) = 5*q(m) + x(m). Determine h(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.23 rounded to 0 decimal places?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 2*z**2 - 4*z + 1. Let v(u) = -5*u**2 + 12*u - 2. Let g(d) = 17*a(d) + 6*v(d). Let h(x) = -6*x**2 - 6*x - 8. What is -8*g(b) - 5*h(b)?\nAnswer: -2*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 72, 173, 284, 411, 560, 737, 948, 1199?\n\"Answer: d**3 - d**2 + 97*d - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 521?\nAnswer: 517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (539 + -516)*(-1 + 0)*1?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 250 = 10*i. Put i, 0.1, -20 in descending order.\nAnswer: i, 0.1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**3 - 4*j**3 - 9*j**3.\nAnswer: -9*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6*h = 525. Suppose -h = -3*c - 4*z + 60, -3*z = 3*c - 162. Suppose 6*s = 3*s + 51. Calculate the greatest common factor of c and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**3 - 109*m**2 - 260*m.\nAnswer: 6*m - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 80*v = 75*v + 15, 5*b + 15 = 5*v for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 235309994.\nAnswer: 3\/235309994","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -339526995.\nAnswer: -2\/339526995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*j**3 - j**3 - 3*j**2 + 4*j**2 + 2*j**3 - 3*j**2.\nAnswer: 21*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1651266 divided by -6.\nAnswer: -275211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 0*u - 114. Let h = 42 + u. Find the third derivative of 6*o**2 - 38*o**4 - 5*o**2 + 31*o**h wrt o.\nAnswer: -168*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-144)\/40 + 6\/10 - 1. Let l = 68\/39 - 14\/13. Sort -3, l, w in decreasing order.\nAnswer: l, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 887*f**2 - 3*f**3 - 443*f**2 - 3*f**3 - 420*f**2 - 9*f**3 to the form d*f**3 + h*f + n + r*f**2 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.82 - 12. Let v = 593 + -588.18. Let c = v - g. What is the biggest value in -5, 4\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(-6)*(-8)\/(-3). Calculate the common denominator of -75\/322 and (n - 6)\/(-4 + (-408)\/(-82)).\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3 = -0*y. Let g(h) = h + 3. Let z be g(y). Suppose 3*j = -z*j - 210000. What is j rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 4316814.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-522)\/99 - (0 - (-11 + 7))) + 9\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 75543305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -26, -2, 12, -22 in increasing order.\nAnswer: -26, -22, -4, -3, -2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 865, -0.17, 1\/48 in ascending order.\nAnswer: -0.17, 1\/48, 865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.9314468 to the nearest integer.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42966 and 35585396?\nAnswer: 4774","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-4*r + 0*r + 2*r)*(0*r + 5*r - 2*r) + 2 - 2 - r**2)*(-2122*r + 2122*r + 10*r**2) as x*r + c*r**4 + k*r**2 + v*r**3 + f and give c.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b**3 - 4*b**2 + 6*b + 12. Let g be t(-2). Let c(z) be the first derivative of -z**4\/4 + z**3\/3 - z**2\/2 - 3*z + 1. Calculate c(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 937405 to the power of 1\/2, to the nearest integer?\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w + 75*w - 8932 = 0. What is the highest common divisor of w and 580?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 639 and 3195.\nAnswer: 3195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 5*(3*(1 + sqrt(2299) + sqrt(2299) + 2 + sqrt(2299) + sqrt(2299))*2)**2)*3.\nAnswer: 142560*sqrt(19) + 19868205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f + 16*f + f + f to the form q + u*f and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7*22\/(-1617))\/(2\/9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mayymmmmmm. What is prob of picking 1 m and 1 y?\nAnswer: 14\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -567 + 567 + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 14288 minus -5?\nAnswer: 14293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 184 a factor of 114172800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m + 9. Let z be p(6). Suppose -5*l + z = -2*l. Let a(j) = l - 6 - 8 + 4*j. What is a(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3490.5 - -3490. Let g be 4\/(-18)*(-2)\/(-36). Let i = g + 245\/162. Sort i, -2, h in ascending order.\nAnswer: -2, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*r - 0*r + 152, -z = -3*r + 26. Let o = -8 + z. Let a = o - -63. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4052546190 a multiple of 5610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.72 rounded to zero dps?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*y + 2 + 2, 4*y = 2*i + 8. Is 2*16 - (-18)\/i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24196, -24198, -24186, -24154, -24096, -24006?\nAnswer: -23878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes before 7:22 PM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 1 + 61*z**2 - 2*z**3 - 6*z + 3*z**3 - 65*z**2 - 2. What is k(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 0.0017?\nAnswer: -1.0017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-2) - 0) + 7. Suppose -2*c - c = -15. Calculate the highest common factor of c and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150996 is divided by 604?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1013 rounded to 3 dps?\nAnswer: 0.101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 4*t - 3. Let j be g(-5). Let z = j - -7. Is 10 a factor of 309\/z - (-4)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 6*s - 25 = 0, -5*s = 3*y - 22. Let k be y + 3 + 36\/4. What is the greatest common divisor of k and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4597448069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -87*h**4 + 25*h + 8. Let y(g) = -58*g**4 + 17*g + 5. Let l = 53 - 58. Let f(z) = l*v(z) + 8*y(z). What is the second derivative of f(p) wrt p?\nAnswer: -348*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11110111 (base 2) to base 3\nAnswer: 100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -7*n**5\/60 - 2*n**2. Let s(l) = -6*l**2 + 39*l + 20. Let m be s(7). What is g(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**8\/1680 + z**6\/180 + z**3\/3 - 2*z**2. Let o(s) be the first derivative of t(s). Find the third derivative of o(h) wrt h.\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.38 + 0.4. Let p = d + -0.22. Let w = -0.8 + p. Which is the third smallest value? (a) -0.4 (b) 2\/9 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 460, 974, 1488, 2002?\n\"Answer: 514*q - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 19294\/1950 - 40\/(-500)?\nAnswer: -1\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2) + 3 + 11\/(-11). Suppose -3*y - 2*s - 3*s = -17, -m*y + 3*s = -9. What is the greatest common factor of 292 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(84)*-2)\/sqrt(3))\/(sqrt(4) - (sqrt(4) + sqrt(400)*-4)))**2.\nAnswer: 7\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/12 - 4*x**3\/3 + 7*x**2\/2 + 38*x. Give b(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5181 + -5180.8. Which is the third smallest value? (a) p (b) -0.8 (c) -1\/6 (d) 2\/9 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*5 + (-22 - -18). Suppose b - x = 5*o + 6, 4*b + 4*o = 4. Solve -b*s + 4 = -s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-273)\/(-42) - ((-12)\/42 + 6\/(-28)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 167, 700, 1233, 1766?\nAnswer: 2299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 238137 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 12 + 4*q - 4 + 0*q - 3*q. Let j be i(-6). Differentiate 4*f**2 + 1 - 3*f**j + 0*f**2 with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 399*r**2 + 248*r + 12. What is the least common multiple of 4347 and p(3)?\nAnswer: 4347","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 + 60. What are the prime factors of o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 9) to base 11.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40430.9953847 + -40431. Round c to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19 - 19 + 38 + 2246266*i**2.\nAnswer: 2246266*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 2*u**2 - u - 3. Let a be m(3). Suppose -2*o - a*r + 6 = 0, 4 + 6 = 2*o + r. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4509594ng in grams?\nAnswer: 0.0000000004509594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 40 (b) -0.1 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of i**3\/9 - 7*i**2\/12 - 2*i\/3 - 47. Suppose c(s) = 0. What is s?\nAnswer: -1\/2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 b, and 1 i when three letters picked without replacement from bfrofiao?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 176*u - 3 - 92*u - 85*u + u**2 - 2 as d*u**2 + y*u + h and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 5 + 4)*(4*y**2 + 0*y**2 - 2*y**2) - 63*y**2 + 200*y**2 + 73*y**2 to v*y + c + q*y**2 and give q.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1069, 2826, 5275, 8416, 12249, 16774?\nAnswer: 21991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4578901*q**5 + 1952574*q**2 wrt q.\nAnswer: -274734060*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1308100*n**2*s + 7391705*s wrt n?\nAnswer: -2616200*n*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 101*d - 91*d - 10 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + 10101100111101000011?\nAnswer: 10101100111101001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -591 + -0.01?\nAnswer: -591.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2734, -9849, -21348, -37231, -57498, -82149, -111184?\n\"Answer: -2192*f**2 - 539*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, -1, 157, 1 in ascending order.\nAnswer: -5, -1, 0, 1, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -36025?\nAnswer: 36024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/2 + 78*i**2 + 648*i + 1312 = 0.\nAnswer: -4, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = 36. Let q = -6 - z. Suppose 0*o + 2*o - q = 0. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/392*1\/1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -3*f**6\/40 - 7*f**4\/24 + 3*f**3\/2 + f**2. Let g = -230429 + 230436. Let i(q) = -5*q**3 - 3*q + 4. Give g*i(t) - 3*u(t).\nAnswer: -8*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-21))\/((360\/240)\/(6*-1))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1210, 3618, 6014, 8392, 10746, 13070, 15358, 17604?\nAnswer: 19802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 260 = -5*i. Suppose 0 = 5*l - 5*w - i, 5*l - 39 = 4*w + 86. Suppose 9 - l = -4*z. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30, 41, 50, 51, 38, 5?\n\"Answer: -v**3 + 5*v**2 + 3*v + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*j = 144, -9*x - x + 5*j + 80 - 133 = 2*j + 179 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.37855 micrograms to nanograms.\nAnswer: 2378.55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vstsn. What is prob of picking 1 n and 2 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -356, -2836, -5310, -7772, -10216?\n\"Answer: b**3 - 3*b**2 - 2478*b + 2124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*x - 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 + 13*g - 4. Let i be m(-7). Suppose 3*o + 1 = 4*a, 1 - 16 = -i*o. Solve k = a - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p - p + 4*p)*(3*p + 1 - 2*p + 0) + 4*p**2 + p**2 - 3*p**2.\nAnswer: 3*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k**(1\/14)*k))\/k)\/k**(-12)*k\/k**(-24)*k**25)**(-30) assuming k is positive.\nAnswer: k**(-12795\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21*l**2 + 21*l**2 + 390*l**3 + 461 - 1709 with respect to l.\nAnswer: 1170*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - 2. Calculate the remainder when (0 + w)*29*1 is divided by ((-1)\/3)\/((-11)\/495).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 936?\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48576 and 105501?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**3 - z**2 + 2. Let b = -3 - -1. Let k = b + 4. What is the remainder when f(k) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, v: 1, m: 1, i: 1, j: 1}. Give prob of picking 1 v and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - (-35 - -108)) + 10.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - (19 + -1 + -5)) + 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g - l - 16, -16 = 140*g - 165*g + l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - j + 15 = 0, 3*j = 5*f - 0*j - 6. What is the third biggest value in -3\/4, f, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1122333133 + -12220?\nAnswer: 1122320313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t - 8094 = -27*t. Let q = t + -435. Which is bigger: q or -110\/13?\nAnswer: -110\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 19. Suppose 0 = -13*h + 10*h + 126. List the prime factors of (h\/w)\/((-6)\/(-16)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-4)\/10)*(-39)\/(-65).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 7:10 AM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q - 3*k + 25 - 335 = 0, -5*q - 3*k = -206. Let w(x) = 3*x - 6. What is the remainder when q is divided by w(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 7:40 PM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126403100 and 185.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 50*l + 67*l + 10 - 2*l + 7*l - 2*l + 3 + 2*l - 3 + (l - 5*l + 3*l)*(5 - 5 - 2) + l + 0*l + l.\nAnswer: 126*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s - 3. Let f(b) = 2. Let x(k) = -3*f(k) - 2*p(k). Let t = 16 + -11. Let g(v) = -t*v**2 - 4*v**2 + 8*v**2. What is g(x(w))?\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -324 = 355*h - 367*h. What is the remainder when h is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 76, 87, 102, 121?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 198320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 902 + -99462?\nAnswer: -98660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of s**7\/63 - 16*s**6\/45 + 7*s**5\/5 - 20*s**4\/9 + 13*s**3\/9 + 704*s. Factor m(c).\nAnswer: 2*c*(c - 13)*(c - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208\/96 - (-7)\/(-2)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 30*(-3)\/((-15)\/8). Let s = 53 - w. Which is the nearest to 1? (a) -4 (b) -2\/7 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + o**2 + (-427 + 427 - 18*o**2)*(3 + 0 + 0) to the form m*o + i + h*o**2 and give h.\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 12:47 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7436 + -44759\/6. Find the common denominator of g and 10\/(-4)*34\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 705*m - 253. Let d(r) = 1410*r - 505. Let f(s) = -3*d(s) + 7*p(s). Is f(11) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - -46. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-42))\/((-36)\/108).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 298246 a multiple of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 3*p**2 - 3*p + 4. What is the units digit of w(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, k: 3, d: 2, l: 2, p: 6, c: 1}. Give prob of picking 3 a.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1307 is divided by 81.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3393 and 171?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 141.8*-67\nAnswer: -9500.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1534551 and 0.2?\nAnswer: 1534551.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 531*k + 539*k - 1053*k - 2380 for k.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/9)\/g*g)\/g)**(25\/6)\/(g*g\/(g**(3\/5)*g))**(-36))**(-22) assuming g is positive.\nAnswer: g**(-27643\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20517984 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1435.\nAnswer: 5, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 0.2 (b) -2 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1 - -2.1. Let u = -2.2 + x. Which is greater: u or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*x**4*z + 77*x**4 - 942*x**3*z**3 + 3*x**2*z**2 - 2*x*z**3 + 40*z**2 + 44 wrt x?\nAnswer: -48*x*z + 1848*x - 5652*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 - 6*i**2 - 6*i - 2. Let h be r(-5). Suppose 4*f + g = 101, 0*f = h*f + 4*g - 92. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64852.41 micrograms in nanograms?\nAnswer: 64852410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/40 - 1\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 2*n - 6 + 4*n**2 - 6*n**2 as w*n + l*n**2 + r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4767788362 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.5 - -3. Let m = 0.1 - s. Let a be 10\/(-6)*(-8 + 5). What is the closest to 0 in m, a, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1. Suppose -4*w - w + 10 = h. Suppose w*s + 0*s = 70. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-12 + (6 - 0))) + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4\/24 - 13*j**2\/2 - j - 73. Let l(v) be the second derivative of i(v). Let r(o) = 13*o - 1. Calculate -22*l(a) - 2*r(a).\nAnswer: -4*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**4\/9 - 52*v**3\/3 + 704*v**2\/9 - 272*v\/3.\nAnswer: 4*v*(v - 34)*(v - 3)*(v - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -93, -92, -95, -102?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7121 - -16260. List the prime factors of n.\nAnswer: 13, 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22415 - -3564. List the prime factors of a.\nAnswer: 83, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*p + 152*p - 131*p.\nAnswer: 202*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/4 or 155\/28?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5846 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 71*a**2 + 660*a + 38. Suppose j + 1 + 3 = k, 5*k - 22 = 4*j. Calculate the remainder when l(60) is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 12:17 PM?\nAnswer: 6:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwpwpwpwwpp. Give prob of picking 3 w and 1 p.\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**5 - 7*w**5 + 4*w**5 + (2*w - 2*w + 3*w**2)*(1 + 17*w**3 + 51*w**3 - 112*w**3).\nAnswer: -138*w**5 + 3*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + -3 + (23 + 24 - -4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 917*u + 47*u**2 + 2*u**3 - 244*u**2 - 912*u as m*u + w*u**2 + h + l*u**3 and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -77.\nAnswer: 6\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 153 divide 76653?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of -169*p**7\/21 - 10*p**3\/3 + 38*p + 6. Find the second derivative of d(n) wrt n.\nAnswer: -6760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24581 less than 15032845.3?\nAnswer: 15008264.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -196 (base 15) to base 4.\nAnswer: -11232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14554 - 1?\nAnswer: 14553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 591 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 + u**4 - 2*u**4)*(5 + 2 + 2)*(3 + 2 - 2)*(-6 - 10 - 8).\nAnswer: -1296*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(10)*-2*-5)*-3.\nAnswer: -3*sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2068.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*b**3*g**3*z**3 + 11*b**3*g*m*z**2 + b**2*m*z**2 - b*g**3*z**2 + 2*b*g**2*m*z**2 + 37*g*z**3 wrt b.\nAnswer: -42*g**3*z**3 + 66*g*m*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 12*n + 1\/12*n**4 - n**2 - 1\/3*n**3 + 0. What is m(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -14 + (6 - (3 + 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -b25914?\nAnswer: -b25913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1eba - b?\nAnswer: 1eae","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 2*g + 11. Let f(h) = -1. Let d(b) = 4*f(b) - n(b). Suppose -m = 3*z + 20, -17 = 5*m - 4*z + 26. Calculate the remainder when 12 is divided by d(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1106653 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jnjttgjjtgt. What is prob of sequence tgj?\nAnswer: 16\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*o = -43*o + 42. Suppose -12*u = -31 + o. Solve 3 - 5 = -u*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 206.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**3*v**3 + 97*m**3*v**2 + 88*m**3*v - 2*m**2*v**2 + m**2*v - v**3 + 555 wrt m?\nAnswer: 12*v**3 + 582*v**2 + 528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 478, 678, 862, 1036, 1206?\nAnswer: 1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 minus -585.451?\nAnswer: 584.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.54152ml to litres.\nAnswer: 0.00454152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 203358 and 17.\nAnswer: 3457086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14473096 and 10525888?\nAnswer: 115784768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(1 - (1 - -2)). Suppose -2*v - 2*f - o*f - 4 = 0, 3*v = 2*f - 6. Is -4 greater than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(7\/(-14) + 1). Let h be (-4)\/6 + 215\/327. Let p = -114\/545 - h. Which is the third biggest value? (a) o (b) p (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1052 + 9479\/9. Calculate the common denominator of -79\/45 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 261\/24 + 4\/32. Suppose n = 2*p - q, -n + 5 = 4*n + 5*p. Let x = 2 - n. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-6)\/33 - (-1 - (-3484)\/(-44))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*p + 110305 = 20863 - 267967. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 3863386?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-1) - (-2 - -3). Suppose 0*k + y*k = 18. Solve 3*n + k = 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, 0.4, 2\/15, -0.3, -265630?\nAnswer: -265630","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6274\/7 - 896. Suppose 156\/7*y**2 + 40*y + c*y**4 - 38\/7*y**3 - 400\/7 = 0. What is y?\nAnswer: -2, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/151893418 and 47\/607573672.\nAnswer: 607573672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8 - -6.9. Let z = -3.0999987 + n. Round z to 6 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/10, 3, -1, 2\/13, -1\/44 in increasing order.\nAnswer: -1, -1\/10, -1\/44, 2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 4*f + 172 = 0, -4*b + 5*f - 107 = -282. Let q be (1\/(-2))\/((-4)\/b). Let y be (15\/6)\/(-5)*-12. Solve -q*z = 4 + y for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-20) + -5 + 139 + -134 + (-17)\/10\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571 (base 11) in base 16?\nAnswer: 2ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-28)\/2)\/((-1)\/2). Suppose 0*w = 5*o - 2*w - 42, 4*w = -4*o + k. Let i(z) = z**2 - 6*z - 11. What is the units digit of i(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of j**5\/20 - 2*j**3\/3 + j**2 + 10. Give u(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (65 + 20 - 55)*(-2*r + 6*r - 3*r)*(2*r**2 + r**3 - 2*r**2) as u*r**2 + q*r + g + i*r**3 + b*r**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434335526 to the power of 1\/2, to the nearest integer?\nAnswer: 49339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 5*c**2 - 8*c + 10. Give p(5).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 40 = 3*v. Let u = 8 + v. What is the third biggest value in 2, 0.5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290 = 132*q + 2006 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -35, -18, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2528 - -2522. What is the nearest to 2\/3 in 3, -0.6, o?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (5 - 5) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50292 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (g + 1 - 1)*(60 + 5 - 36) in the form i + h*g and give h.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 60*g**5*w**3 + 124*g**3*w**2 - 36*g**2*w**2 - 3*g**2*w - 92*w**3 wrt g?\nAnswer: 3600*g**2*w**3 + 744*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(2\/(-4)*-1). Let m be 322\/77 + -2*(-1)\/(-11). Which is bigger: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22874*g*w**5 - 38*g*w**3 + 2*g*w - g - 73248 wrt w?\nAnswer: -457480*g*w**3 - 228*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 4*c + 42 = 0, -50*b + 53*b - 3 = c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 16. What is the units digit of (-105)\/i*4\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5331, -5332, -5333?\nAnswer: -5334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*k = 4*r - 12, 0 = -2*r - 5*k + 20. Let o = -1 + r. Let i(p) = 0*p**2 + p - o*p - 5 + p**2. Give i(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4082 and 19625.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39, -186, -441, -804, -1275, -1854, -2541?\n\"Answer: -54*d**2 + 15*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 3*w + 5*f, -4*w + 4*f + 40 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-140)*5*((-20)\/(-6))\/(-5).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 321201592.99999948 - 321201576. Let a = 33 - 50. Let v = a + d. What is v rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 1188 = 4*x. Let t be (2\/(-3))\/((-22)\/x). Suppose 0*v + t = 3*v. What is the highest common divisor of v and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7*3\/(-6)*-2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 12:43 PM?\nAnswer: 4:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62752176 and 240.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12534\/5 - -226217\/90. What is the common denominator of 107\/18 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 97*p**3 - 2*p**2 + 24*p - 57. Does 50 divide k(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.06 and 269?\nAnswer: -16.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvmm when four letters picked without replacement from vvvvmvmm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 17*i + 1. Suppose -6*m + 4 = -d - 3*m, 0 = m - 2. Suppose 0 = d*z + 3*y + 11 + 11, 42 = -5*z - y. Give x(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 603 (base 11) in base 4?\nAnswer: 23121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 146 = 3*c, -c - 2*q + 79 = 42. Calculate the greatest common divisor of c and 282.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 337927?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2005270 and 288.239.\nAnswer: 2005558.239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*(sqrt(612) + 0 + sqrt(612) + -5 - (-5 + sqrt(612)*2)))**2*-5.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 4, -1000, -0.0318, -1, -4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ak when two letters picked without replacement from {k: 4, f: 1, a: 6}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 4)*(0*h + 0*h - 2*h)*(1 + 10 - 4).\nAnswer: -126*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 35*i**2 - 22177*i - 2626691 wrt i?\nAnswer: 70*i - 22177","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - f + 3*f - 7 + 8 - 419*f - 196*f + (2 - 2 - 1)*(6*f - 3*f + 0*f))*(-26*f + 26*f - 8*f**2) to the form p*f**2 + y + m*f**3 + l*f and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(6)*-6 - (sqrt(30) + sqrt(30)*-2)*2)\/(-4*sqrt(486)*2).\nAnswer: sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 442\/204*(-8)\/(-26).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 50?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that b**3\/2 - 15813295*b**2\/2 + 63253156*b - 126506296 = 0.\nAnswer: 4, 15813287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01936207 times -0.1?\nAnswer: 0.001936207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 33*h + 189. Let d be t(-6). Let b be 14\/4 + (-1)\/2. Let n be (2 - 3)\/((11\/11)\/1). Put n, b, d in decreasing order.\nAnswer: b, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*f + 175 + 241 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v**3 + 2*v**3 - 4*v**3)*(-60*v**2 - 2*v - 26 - 103*v**2 + 181*v**2).\nAnswer: -36*v**5 + 4*v**4 + 52*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-4))\/3*294\/1617.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1923522 + -2276478. Round w to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 - 6. Let s = -30\/11 + 172\/55. Suppose -37*d = -74 - 37. What is the second smallest value in s, d, i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**2 - 2*k**2 + 0*k**2)*(-2*k + 4 - 2 - 4) as p*k**2 + q*k**3 + u*k + b and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 5*l**3 + 2*l**2 + 6*l + 1004. Let g(q) = -14*q**3 - 5*q**2 - 17*q - 3013. Let s(n) = -3*g(n) - 8*j(n). Is s(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2 - 3264*c - 1331712 = 0 for c.\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -1\/4*u**6 + 3\/5*u**5 + 3\/8*u**4 + 9 + 0*u**2 + 0*u - u**3. Let t(s) = 0. Calculate s.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 2*j + 3*j + 2, -10 = 5*j. Suppose d*b - 25 = -b. Determine r so that -r**5 + 3*r**3 + r**2 - 3*r**b + 3*r**4 + 5*r**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*d + 12, 22 = d - 8*p + 13*p. What is the units digit of (7 - d)*11496\/40?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02378 and -2.7?\nAnswer: -0.064206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x**3 - 10*x**2 - 5*x - 22. What are the prime factors of f(6)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and -0.17775.\nAnswer: -1.17775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(18\/((-18)\/(-3))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*i**2 + 58*i**2 - 2*i**3 - 199*i**2.\nAnswer: -2*i**3 - 82*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*q + 5*q = 9541. Let u = q + -313. Calculate the lowest common multiple of 56 and u.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4558277 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -2*w - 7. Let y = -16 + 10. Let k be q(y). Let c(h) = -1 + 4 - k + 3*h. Calculate c(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 36255, 72508, 108761?\n\"Answer: 36253*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -361608 divided by 299?\nAnswer: -27816\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 15 - 21*d)*(0*d**4 + d**4 - 2*d**4) + 3*d**3 - 3*d**3 - 7*d**5.\nAnswer: 14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/25)\/(684\/(-95)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 4*o - 3578, -s + 4*o = 626 - 2411. Solve -s*k + 42 = -1787*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 15) to base 6.\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131525 divided by -26305.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -4*a**2 - 2. Let s(b) = 2*b - 3. Let u(x) = 1. Let g(p) = s(p) + 3*u(p). Give g(q(y)).\nAnswer: -16*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.4. Which is the biggest value? (a) -0.4 (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 449*r**3 - 45385*r**2.\nAnswer: 2694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 6 - 4)*(-2*n + 0*n + 3*n)*(-1 + n**2 + 1).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2929\/232 + -13)*8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 10*b**2 + 25*b - 170. What is the remainder when n(6) is divided by 115?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzvvezevezzzvewvzwe. What is prob of sequence wz?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -1800353 to the nearest ten thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -8 + 354*(-6)\/(-18)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/139904280 and 23\/3497607?\nAnswer: 139904280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 19333*b\/2 + 2667420.\nAnswer: (b + 280)*(b + 19053)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**0)\/(v**(-2)*v))\/((v*v**6*v)\/(v**(1\/2)*v*v)) assuming v is positive.\nAnswer: v**(-7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 11:00 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 410093 * 4.\nAnswer: 1640372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p**2 + 7*p + 6. Let k(s) = -s - 1. Let d(r) = 6*k(r) + l(r). Suppose 0 = 2*j - 3 - 1. Suppose 3 = j*q - 5*q. What is d(q)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5119 rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -168, -264, -382, -528, -708?\nAnswer: -928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/32)*l*l**(4\/19)*l*l**(2\/23)*l**(2\/17)\/l)**2 assuming l is positive.\nAnswer: l**(358703\/118864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.3 - -2. Let h = -2.3 - p. Let c be ((-6)\/(-12))\/(2\/8). What is the third biggest value in h, c, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**2. Let k(p) = 4480*p**2 - 24*p - 3. Let z(h) = 49264*h**2 - 272*h - 34. Let v(s) = 68*k(s) - 6*z(s). Give v(a(x)).\nAnswer: 36224*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 3*f**3 - 6*f**3 + 2*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*u**4 + 7*u**2 - 12*u**3 + 386*u - 186*u - 3*u**2 + 10*u**2 - 188*u = 0. What is u?\nAnswer: -1, -6\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 0 + 14*f**2 - 19*f**2 - f**3 - 6. Let d be 2\/4*(-10 - 0). Determine p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1))**23*q*q\/q**(2\/3)*q*q**2*q*(q*q*q*q*q**(3\/4)*q*(q**5*q*q)\/q)\/((q\/q**(-4))\/q*q\/(q\/q**(4\/9)*q*q*q*q)*q*q) assuming q is positive.\nAnswer: q**(2183\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 3*l. Let z be o(4). Suppose 4*t = t - z. Which is the biggest value? (a) -0.2 (b) -3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (5 - (-8 - 3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 278 = -o + 279, 9*o + 3*f - 27 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2\/23, 30 in decreasing order.\nAnswer: 30, 2\/23, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t**2 - 21081*t + 8430.\nAnswer: 3*(t - 1405)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -866.2527 - -202.\nAnswer: -664.2527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -72*u - 14. Calculate n(-1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 3, 1\/2, -2\/3, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 8*w**2 - 43*w - 182. Let q be d(-10). What is the highest common factor of q and 420?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.3 + 1.31. Which is the smallest value? (a) g (b) -1\/6 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 35 = -2*k, 3*u + 8*k - 4*k - 21 = 0. Let f(z) = -z**2 + 4*z + 9. Calculate f(u).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*b = 308, -5*c - 4*b = -b - 772. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3930*l**4 - l**3 - 2264*l - 1.\nAnswer: -47160*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 2)*(0 + 1 - 2) - 3 + 0 + 4)*(-19*u + 39*u - 63*u)*(6*u + 7*u + 6*u).\nAnswer: -2451*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 plus 9438101?\nAnswer: 9438100.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u + 4. Let l(b) be the third derivative of -b**3\/6 - 96*b**2. Suppose 0 = 5*j - 22 - 23. Suppose j = -4*p + 29. Give p*l(t) + o(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00220507 rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 208 times 0.062\nAnswer: 12.896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5.2, 3\/8, -1\/13, -5\/2 in decreasing order.\nAnswer: 3\/8, -1\/13, -5\/2, -5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/22 and 1\/2924.\nAnswer: 32164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x + 7. Is o(5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqahk. What is prob of picking 1 a and 2 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 3663645451*w**2 - 17 - 3663645447*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - f = 0, -2*u - 4*f = 3*u. Let v(r) = r**2 - r + 191. Is v(u) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/7)*c*c\/(c*c**(5\/2)))**(3\/13) assuming c is positive.\nAnswer: c**(-15\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**3 - 5*d**2 + d + 3. Let a be s(-5). Let z(p) = p - 1. Let j(n) = -6*n + 4. Let c(m) = j(m) + 5*z(m). Let b(q) = 3*q + 3. What is a*c(k) - b(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4560 and 60?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, 8, -1, -49, 33 in decreasing order.\nAnswer: 33, 8, 0, -1, -3, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -13, 13 in ascending order.\nAnswer: -13, -9, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4.94 and 0.3232.\nAnswer: 1.596608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 6:28 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155*g**3 + 164*g**3 - 477*g**3 + 156*g**3.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - q + 4. Let x be s(0). Let p = x + 1. Suppose p*w - 12 = -k, 0*k = -w + k + 6. Solve w*m + 7 = -2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 38352, 77045, 115738, 154431, 193124, 231817?\n\"Answer: 38693*u - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -2*d**2 + 31*d - 6. Let j be h(15). Suppose 2*t + j = 91. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448) + 3 - sqrt(102)\/sqrt(600) - (sqrt(2057) + 2 + sqrt(102)\/sqrt(6) + 2).\nAnswer: -1 - sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -54*f - 81. Let z(p) = -109*p - 160. Let d(s) = -7*l(s) + 4*z(s). Differentiate d(c) wrt c.\nAnswer: -58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 650472143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -761 + 4?\nAnswer: -755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 1:33 AM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 10 - 8 = 0. Let x be (-3 - -1)*2\/j. Let v be -3 + (-4)\/(-4) + 2. Which is smaller: x or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 172904? (a) 0 (b) 0.1 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -99\/28 + 1858\/525. Let c(g) be the third derivative of 2*g**2 + 0*g**3 + 0 - 2\/525*g**7 - s*g**6 + 0*g + 1\/150*g**5 + 0*g**4. Solve c(w) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -2*j**3 - 2*j**2 - 3*j + 4. Suppose 0 = -3*h - 2*w - 7, 5*w = -43 + 18. Give o(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 79817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-60)\/(-100)*3\/9*20\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 530540 rounded to the nearest 10000?\nAnswer: 530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48700 + 3aa2?\nAnswer: 516a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 - -3020.\nAnswer: 3069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14581448 is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w**3 - 207*w**2 + 693*w + 147 = 0. What is w?\nAnswer: -1\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(sqrt(288) + 1)*-1 + 4 + 4)**2.\nAnswer: 10080*sqrt(2) + 52820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 1495*h**2 + 112450*h + 110960.\nAnswer: 5*(h + 1)*(h + 146)*(h + 152)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - g + 230 = -858, 0 = 2*r - 4*g - 562. Suppose -r = -33*h + 20*h. Solve 3*b = 3*f + h, -b + 5*f - 1 = -28 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236 and 5959.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + (17 + 2 - -136) - 24?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 1 - ((0 - 5) + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 41d9 - 19?\nAnswer: 41c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -227, -520, 5, -56, 0 in descending order.\nAnswer: 5, 0, -56, -227, -520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + -0.7. Let v = 0.1931 - -3.8069. Sort -1\/2, v, 0, g in ascending order.\nAnswer: -1\/2, g, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2\/5, 3, 0.6, -0.1, -1, 0.8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435*d + 4 = 35*p + 1433*d, -2*p = -4*d - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 46?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or -1578\/199?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45449 - -17411. What are the prime factors of j?\nAnswer: 2, 5, 7, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3}. What is prob of sequence jj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960 not equal to 2977?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (303\/5 + -3)*(-70)\/(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.319622603 rounded to 4 dps?\nAnswer: -6.3196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1509?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from {e: 3, o: 1, k: 3, z: 6, x: 3, q: 1}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 15562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 243\/36*(-4)\/(-3). Suppose -z*k = 3*k + 84. Is -0.1 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1051063\/4 at least 262765?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25.6841*3.\nAnswer: 77.0523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 457050539?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 3*k**2. Let v(z) = 5*z**2 - 30187. What is v(d(m))?\nAnswer: 45*m**4 - 30187","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/((-405)\/(-225))*(-1)\/((-10)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/9 - 4*r**2\/9 + 5*r\/3 + 2.\nAnswer: -(r - 3)*(r + 1)*(r + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + 2*c**2 - 3. Let u(b) = b**3 - b**2 + 2. Suppose 6 = 7*n - 4*n. Determine n*v(a) + 3*u(a).\nAnswer: -a**3 + a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 + 0*r**3 + r**3)*(-1821*r**2 + 37*r**2 - 242*r**2).\nAnswer: -2026*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2256736813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3*(sqrt(1331) + 1 + 4 - (sqrt(396) + -2 + 4)).\nAnswer: -15*sqrt(11) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -10193*q**2 + 77*q - 515792.\nAnswer: -20386*q + 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**2 + 29*n - 63. Let i(h) = h - 1. Let k(c) = -4*i(c) + s(c). Let w be k(17). Let j = w + -70. What is the greatest common factor of 105 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus 0.15?\nAnswer: -3.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59320 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 13*r + 22. Let p be x(12). Let m be -4 + p - (4 + 2). Solve -2*s + m*s - 10 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11999 by 2.\nAnswer: -11999\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2 - 127615*h + 5613124.\nAnswer: (h - 127571)*(h - 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (0 - -11) + -10?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 122979154 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a + 1. Suppose 2*i - 13 - 3 = 0. Suppose 2*k - 1 = 7. Suppose k*r - 4 + i = 0. Calculate w(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, f: 4, u: 4}. What is prob of sequence afa?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -250, -591, -1026, -1549, -2154?\nAnswer: -2835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2)\/(291\/(-2910))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20*k**5*t - 3*k**5 - k**3*t - k*t + 158*t wrt k?\nAnswer: -400*k**3*t - 60*k**3 - 6*k*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3010538.\nAnswer: 2, 47, 32027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359069, -718044, -1077021, -1436000?\nAnswer: -1794981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8 (b) -21 (c) 1 (d) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h - 41938 - 6*h + 12*h.\nAnswer: -2*h - 41938","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -515906.0883 rounded to the nearest 1000?\nAnswer: -516000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 873118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 15 + 9 = 0. Let c = 0 + i. Suppose n + 2*n + c = -3*k, 0 = -3*k + 5*n + 34. Put k, -3, 0 in increasing order.\nAnswer: -3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -168\/286355?\nAnswer: -168\/286355","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**2))**20 assuming m is positive.\nAnswer: m**40","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68385\/211 or -324?\nAnswer: -68385\/211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -781\/2 (b) -2\/59 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48719 is divided by 58.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -36*n**2 + 129*n**3 + 16*n**2 - 50*n**2 wrt n.\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z - 26. Suppose -4*u = -z - 79. List the prime factors of u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2\/22563 + 45112\/157941. Let u = -3 - -5. Let r be 3\/u*(-4 - -2). What is the third smallest value in y, 0.2, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z + 7*z + 4 = 0. Solve 3 = -w + z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364926 is divided by 1011.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 40625*r**3 - r**2 - 4*r. Let b be d(-4). Round b to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -1. Suppose -2*d + 8 = -o. Solve 0 = -3*s - d - 3 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 - -577528442382?\nAnswer: 577528442382.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4203 - 58521 = 218*c + 353*c + 11347 for c.\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g = 54*g - 64. Solve j - 2 = r, 2*r - 8 = -g*j - 0*r for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*l - 284*l - 40*l + 21*l.\nAnswer: -256*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/6*u**3 + 43\/6*u**2 + 46\/3 - 68\/3*u.\nAnswer: (u - 2)*(u - 1)*(u + 46)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5303 divided by 15194.\nAnswer: 5303\/15194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*r - 3. Let g be 113\/r - (-2)\/6. What are the prime factors of 2\/(-9) - g\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 3*f**2 + 1. Let n(g) = -g**2 + g - 1. What is l(v) + n(v)?\nAnswer: 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1391841 is divided by 959.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134638, 134493, 134250, 133909, 133470, 132933, 132298?\nAnswer: 131565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5 = 2*d - 4, -3*d + m = -11 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 285530?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 9. Does 5 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 + 831. Let g(n) = 6*n**2 + 1661. Give -6*g(r) + 11*j(r).\nAnswer: -3*r**2 - 825","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -5*c**2 - 3*c - 6. Let p be (-8)\/(-28) - (-2)\/(-14)*-19. Suppose -p*q = 2*t + 12, 4*t + 5 + 1 = 3*q. Let u(f) = 2*f**2 + f + 2. Give t*w(d) - 8*u(d).\nAnswer: -d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5739228 and 2376.\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.777 - -4.8. Let n = 0.123 - l. What is the nearest to 2\/7 in -2\/11, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230424 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -2ccdc?\nAnswer: 2ccd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -305 divided by -24?\nAnswer: 305\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -222113223?\nAnswer: -222113221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001092366 rounded to 6 decimal places?\nAnswer: -0.000109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6\/((-18)\/3) - 2215)*-1125. Round n to the nearest one hundred thousand.\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 0.18, 62, 2\/7, 5, 4, 0.1 in increasing order.\nAnswer: -0.5, 0.1, 0.18, 2\/7, 4, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/5 (b) -2 (c) 1\/14 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36483 rounded to 2 dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2753 not equal to -16517\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 532\/(-21)*(-21)\/4. Suppose f*w - 141*w = -1376. Calculate the highest common divisor of 4 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = 20*q - 39*q. Suppose a - 143 = -2*n, -5*n + q*a + 143 = -192. Let v be (-4)\/6 + (-86)\/(-3). What is the highest common factor of v and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 1\/10*a**6 + 2\/5*a**3 - 14 - 9\/10*a**2 + 3\/5*a + 3\/10*a**4 - 9\/25*a**5. Factor d(w).\nAnswer: 3*(w - 1)**4*(w + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12430.952 to the nearest integer.\nAnswer: -12431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 25929 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 59138 to the nearest one thousand.\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.4 + 7.4. Which is bigger: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 3*q**2 + 727*q - 280953. Give v(208).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 8*r - 7. Let h be f(-7). Let m be 0 + -3 - (-2 - h). Are m and -1 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a hour in minutes?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + 0.14. Let x = 0.746 + -3.736. Let k = h - x. What is the nearest to k in 3, -2\/7, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -0.4, 39, -19, -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*n*u**3*x - 3*n*u**3 + 6*n*u*x + u**3 - 198*x wrt n?\nAnswer: -5*u**3*x - 3*u**3 + 6*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 254 + -257. Do a and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4 + 1)*(-647764*x - 409*x**3 + 647764*x) - 2*x**3 + 0*x**3 + 3*x**3 as p*x**3 + h*x**2 + q*x + u and give p.\nAnswer: 1228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 6*c**2 + 4*c - 3. What is the units digit of u(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - 1*(-1 + sqrt(1377)))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/4)*u)**(-8))**35\/(u**8*u**(-6\/11))**2 assuming u is positive.\nAnswer: u**(-5554\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 + 3. Let v(u) = 1 + 2432*u - 2426*u + 7. Is v(d) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4455 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = -5*c + 4*k - 49, -5*c = -k + 156. Let v = c - -43. What is the third derivative of -3*r**2 + 11*r**3 - v*r**3 + r**2 wrt r?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l + 2. Let x be 3 - ((-8)\/(-4) + 2). Let k be y(x). Suppose 4*b - k = g, 4*b - 4*g = b - 10. Solve 3*u = -2*z - b*z + 3, 2*z - 4 = -4*u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 22 = 5*t, 2*s - 3*t - 18 = -s. Suppose s = -m + 3*m. Suppose -m*i - i + 665 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 778 by -11.\nAnswer: -778\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - -3 - (-3 + (6 - 3))) + 7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37908\/54 - (-5)\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.027 in 8, -3\/44, -0.3, 10, 4?\nAnswer: -3\/44","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 6350*n**2 - 520504*n + 3758656.\nAnswer: -2*(n - 3091)*(n - 76)*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-24) - (-609)\/112*2. What is the third derivative of 36*n**2 + 23*n**6 - 18*n**6 + 16*n**3 - g*n**2 + 2 wrt n?\nAnswer: 600*n**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15018696 and 3272472.\nAnswer: 2267823096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 732 or -2\/1407835?\nAnswer: 732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -2*x + 6. Let o(l) = 25*l**2 - 8*l. What is u(o(z))?\nAnswer: -50*z**2 + 16*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/15)\/((-15)\/9)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3363 is divided by 447?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 + -40. Suppose 2*j = i + 55. What is the least common multiple of 22 and j?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2736) - ((-2*sqrt(2736) + sqrt(2736))*2)**2.\nAnswer: -10944 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*v - 776 + 3108 = -21*v for v.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2240184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2503586098?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -14110, -14624, -15142, -15664, -16190, -16720?\n\"Answer: -2*h**2 - 508*h - 13600","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77730*r + 76057*r = -56882 for r.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0.5. Let m = -16.22 + 16.22. Which is the biggest value? (a) -14 (b) f (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1 + 2*r**2 - 14*r**3 + 9*r**3 + 6*r**3 + 5*r + 3*r**2. Let c(n) = -n + 2. Let p be c(6). Calculate y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -56832 - 54?\nAnswer: -56886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/((-40326)\/(-741) - 54)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 937 = -3*b + 3*w + 850, -2*b = -35*w + 25 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 - 2*c**2 + 4*c - 3. Suppose -3*q = 1 - 4. Let a be z(q). Factor -26*f - f**3 + 20*f**a + 10 + f - 6*f**3 + 2*f**3.\nAnswer: -5*(f - 2)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 10:04 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {y: 6, g: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 23*y**2 - 117*y - 227. Does 43 divide o(20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -59.8 and 0.4.\nAnswer: -23.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d - 5*d + 3*d - 5*d + 8345 - 8355 + 4*d + (2 + 3 - 4)*(5 - 2*d - 5) + d + d + 6*d.\nAnswer: 6*d - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m**2 - 6*m + 22. Let o(y) = -y**2 + y - 1. Let r(x) = n(x) - 10*o(x). Factor r(i).\nAnswer: 2*(i - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.65 + -0.64988942. Round y to six decimal places.\nAnswer: 0.000111","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**2 - 41222*t - 13385460 = 0 for t.\nAnswer: -20281, -330","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(2 - (-14)\/(-4)). Suppose -3*m = -x*y - m + 8, 2*y - m - 9 = 0. Suppose y*g + 4*u = 139, -2*g = -g + 5*u - 32. Does 11 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 1 + 78 = 0. Let s(d) be the second derivative of 0*d**4 - 1\/3*d**2 + 1\/45*d**6 - 2\/9*d**3 - v*d + 1\/15*d**5 + 0. Factor s(l).\nAnswer: 2*(l - 1)*(l + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.103, 2\/7 in decreasing order.\nAnswer: 2\/7, 0.103, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 144, 286, 426, 564, 700, 834, 966?\n\"Answer: -c**2 + 145*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1392 - -1394. Let a(b) = -b**2 + 7*b - 7. Let r be a(5). Solve -r*p + 15 = t*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - x. Let n(p) = -3*p - 5. Let l(t) = -1. Let a(y) = -3*l(y) + n(y). Let s(z) = -16*z - 11. Let m(o) = 11*a(o) - 2*s(o). What is j(q) - m(q)?\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 327687.574 to the nearest one thousand.\nAnswer: 328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 916136 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 11:38 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4*l = 19, -16*l + 17*l = 3*d - 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b\/(b\/b**(-3)))))\/(b\/b**17))**(-48) assuming b is positive.\nAnswer: b**(-624)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 151*0.02853\nAnswer: 4.30803","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80247 and 897?\nAnswer: 1043211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 2501912?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21983988 is divided by 999?\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 5 (c) -5 (d) 10 (e) 6 (f) 116\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1251*z - 27. Let g(i) = -96*i + 2. Let d(p) = -27*g(p) - 2*u(p). Let w(v) = -2*v - 1 + 2 - 1. What is w(d(j))?\nAnswer: -180*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -130 + 133. Suppose -3*w + 5*u = -6293, 0*u + u - 6323 = -y*w. Suppose -6*d = 7*d - w. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 501310?\nAnswer: 501311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 2, b: 1, u: 1, q: 2}. What is prob of picking 1 u and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/12 + v**3 + 11*v**2\/2 + 36*v. Let q be z(-4). Suppose q*f + 174 = 3*p, p + 5*f = 21 + 19. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/14 in 94770, -2\/9, -1\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*c + 4 = -20, 5*o - c - 25 = 0. Suppose -4 = -o*n + 2*n. Suppose g - 55 = n*d - 7, 5*d + 215 = 5*g. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -51. Let v = -20 + t. Suppose -2*r - 4*i - v = -65, 0 = 4*i + 20. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1278*d - 733*d - 1383*d)*(2*d - 3*d + 3*d) - 2*d + 2*d - 3*d**2 + 0*d**2 + 2*d**2 + 0*d**2.\nAnswer: -1677*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -827000 rounded to the nearest 10000?\nAnswer: -830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(1216))*-3 + 5)**2.\nAnswer: 336*sqrt(19) + 10993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 2369104680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -405116 (base 7) to base 11\nAnswer: -47932","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*o - 1453 + 367, 15 = -5*o. Is 23 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -192, -474, -858, -1344, -1932, -2622, -3414?\nAnswer: -4308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(3 + (-5 - -3)). Which is the biggest value? (a) x (b) -1\/7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (10 - 6) + 1 + -1. Let f(g) = g**3 + 7*g**2 - 29*g - 11. Let b be f(-8). Let s = b + -145. Solve -3*a + s = -0*a - 2*h, v*a - 4*h - 20 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367\/143 - -31\/13. Sort -5\/4, i, 1\/3, 7 in decreasing order.\nAnswer: 7, 1\/3, i, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*s**2*t - 6*a*s*t**2 - 4*a*s - 32*a*t**2 + 3*a + 2*s**2 wrt s?\nAnswer: 2*a*s*t - 6*a*t**2 - 4*a + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 92485 smaller than 92482?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 3:41 AM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55\/(44\/(-4))*(-4 - -3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the third derivative of -19*h**4\/24 - 5*h**3\/3 + 3151*h**2. Give u(-1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 3*i = -4*i - 81, k - 3*i - 27 = 0. Suppose 0 = 5*v + y - k, 0 = -4*v + 4*y - 7 + 43. Solve -17 = -3*f - o, -2*f + o = v*o - 33 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-3\/7)))\/((l**6*l)\/l*l)*l**(-2)\/l**7 assuming l is positive.\nAnswer: l**(-115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1630*p**6 + p**4 + 2*p**2 - 271*p + 1.\nAnswer: 195600*p**3 + 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from 491.069.\nAnswer: 490.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1674 and 351108?\nAnswer: 10884348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 10*f - 26. Let d(l) = 5*l - 13. Let m(t) = -7*d(t) + 4*g(t). Let s(o) = 2*o - 6. Calculate 6*m(p) - 13*s(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -11*c - 2. Suppose 36*r = 1199 + 205. What is the remainder when r is divided by w(-2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 31\/27687 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2300262665?\nAnswer: 5, 460052533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96843198?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, p: 1, d: 6}. Give prob of picking 1 c and 1 g.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 1, -4, -162 in descending order.\nAnswer: 5, 2, 1, -4, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-2732)\/2171940*24\/4\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -138022.\nAnswer: 2\/69011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 22922507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -3*(sqrt(304)*1 - sqrt(304)) - (4 + (sqrt(304) - 1*sqrt(304)*2)).\nAnswer: -8 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6.00464. Round d to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -3 (b) 2 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-7)\/((-154)\/(-165)))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5342.842934 - 5342.9. Let b = 0.055 + 0.002. Let o = i + b. What is o rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a millisecond in microseconds?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 290 is divided by 51.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -2, -5 in increasing order.\nAnswer: -5, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9164, 18266, 27370, 36476, 45584, 54694, 63806?\nAnswer: 72920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -7\/2*a**4 + 0*a**3 - 13 + 15\/2*a**2 + 0*a. What is the second derivative of o(n) wrt n?\nAnswer: -84*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p + 24*p + 5*v = -11*p + 3*v + 14, -39*v + 273 = -5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*h - 0*h - 16, -r - 2*h = -12. Suppose -376 = -5*y + r*s, -y - 3*y - 2*s + 290 = 0. What are the prime factors of y?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.83 less than 332923?\nAnswer: 332919.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, i: 2, l: 4}. What is prob of picking 1 b and 1 i?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, b: 3, c: 2, f: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 499678.\nAnswer: 2, 229, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 2 - 10. Solve r = -m + 4*r + 4, 23 = -x*m - r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 16 = 0, 49*q = 51*q + 6*o - 272. Let z be 1\/4 + (-738)\/(-24). What is the greatest common factor of q and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 116 - 27 - 45 - 27 - 121*y.\nAnswer: -121*y - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -15 + (1 + -2 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/3)\/((-2)\/(-6)). Suppose -b*s - 6 = -21. Suppose 0 = d - 1 - s. Put 5, 3, d in descending order.\nAnswer: 5, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 57 + -59. What is the common denominator of 37\/18 and j\/3 + (-104)\/36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0980781 litres?\nAnswer: 98.0781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2354650 (base 9) to base 5.\nAnswer: 311320111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*0.174.\nAnswer: -0.1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 7:42 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, j: 4, k: 1, q: 1, y: 3, o: 7}. What is prob of sequence yoo?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -149354059*b**4 - 7*b**2 - 1274624*b + 6?\nAnswer: -3584497416*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**9\/25200 - o**8\/11200 - o**7\/4200 + o**6\/1200 - o**4\/3 - 2*o**2. Let q(y) be the second derivative of i(y). Factor q(m).\nAnswer: 3*m*(m - 1)**2*(m + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 312 and 7632?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -9*a**2 + 3*a + 5. Let p be -24 - (-10)\/50*85. Let z(h) = -8*h**2 + 4*h + 4. What is p*z(q) + 6*u(q)?\nAnswer: 2*q**2 - 10*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2917*d - 823. Is 20 a factor of r(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j\/(j\/(j\/(j*j**1)))))**(1\/5)*j**(2\/31)\/(j**(-7)\/j*j) assuming j is positive.\nAnswer: j**(1188\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 11:55 AM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140690 and 5720?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/9 + 76*y**2\/3 - 1645*y + 22050.\nAnswer: -(y - 105)**2*(y - 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 8548?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81*h**2 - 185*h**2 + 86*h**2.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 - 128780363671 + 128780363671 - p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -899940.14 rounded to the nearest 1000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -5*d + 1. Let z(j) = 5*j - 1. What is 4*c(n) + 5*z(n)?\nAnswer: 5*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -91? (a) -6\/7 (b) 17 (c) -2\/15 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/168)\/(4\/2)*8?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(132)\/(sqrt(12) - (-3*sqrt(12) - sqrt(12))))**2 + 3.\nAnswer: 26\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/((-12006)\/(-17168)))\/(28\/63).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**6\/2 - z**4\/4 + 5*z**2 + 45. Find the second derivative of r(a) wrt a.\nAnswer: 60*a**3 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110403 and 188.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m - 8. Let a = 610 - 84. Let b = a + -520. Give y(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -131039 + 131221. Let l(s) = -s**3 + 3*s**2 + s - 3. Calculate the remainder when y is divided by l(-3).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 19*c = 25795. What is the hundreds digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (6 + 27) - (43 - 14 - 19)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67262 + -67259. Factor 128\/5*x - 8*x**g - 4\/5*x**4 + 512\/5 - 96\/5*x**2.\nAnswer: -4*(x - 2)*(x + 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 - 4*v + 99 + 3*v.\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9633008?\nAnswer: 2, 7, 11, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, a: 4, s: 2, f: 4, q: 5}. Give prob of sequence abs.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 153817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*z + 14. Is (0 - z)*-583 - 0\/(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -312*z - 2957 + 1709 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4138 - -53796\/13. Sort 2, -19, z in descending order.\nAnswer: 2, z, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -19*f - 1. Let r(b) = -20*b - 2. Let y(i) = -4*r(i) + 3*v(i). Is y(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + 21*n**2 + 13*n - 11. Let r be j(11). Let h be r - ((-2)\/7 + 442\/(-119)). Solve 0 = -m - 3*l - h, m - 9 - 4 = 4*l for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = -10*z + 7*z, u - 17 = -4*z. Suppose 2*p = -u*x - 5, -5*x = -4*x - 4*p - 21. Solve 9*k + 1 = x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**0\/x)\/((x**(3\/5)*x)\/x))\/((x**(-2\/9)*x)\/x**(-1\/6)))\/((((x**10\/x)\/x*x)\/x)\/(x\/(x\/(x\/(x\/(x*x**(-6)\/x))*x))))**5 assuming x is positive.\nAnswer: x**(-6079\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33836 is divided by 2819.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -3\/4, -1, -101, -3, -1\/7 in decreasing order.\nAnswer: 1\/2, -1\/7, -3\/4, -1, -3, -101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.012 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**7\/70 + d**6\/20 - 3*d**5\/5 + 7*d**4\/4 - 5*d**3\/2 + 109*d**2. Factor y(h).\nAnswer: 3*(h - 1)**3*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/72 and -11\/12.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 2 = 2*m - 14, 2*g - 6*m + 34 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-32) - 9\/12.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z = -18 - 58 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69841, 69869, 69897, 69925, 69953?\nAnswer: 69981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*i**2 + 59*i**3 - 14*i**2 + (2*i + 3*i - 3*i)*(-5*i**2 + 3*i**2 + 3*i**2).\nAnswer: 61*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.166798 rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w - 2. Let t(o) = 11*o + 3. Let y(f) = 5*s(f) + 3*t(f). Suppose 2*v = 0, -2 - 4 = -3*l - 48*v + 49*v. What is y(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4451 (b) -447 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2 - 4 = 0, 5*i = -5*r + 17435. Let o = -1834 + r. Let j = o - 1155. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 86998, 174256, 261514?\n\"Answer: 87258*i - 260","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.114 + 0.234. Let k = v - 5.12. Which is the smallest value? (a) -2\/57 (b) k (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - s**3 - 397020*s**2 + 397020*s**2.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 742111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4255 rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 54.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - -4 - (-15 - (-22 + (-53 - -8))).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 35827 by 112.\nAnswer: 35827\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -18374213 by 151853.\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8 and 872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*t**3 + 2*t**2 + 105 - 50 - 53 as c + h*t**2 + a*t + z*t**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 300 + -222. What is the tens digit of -1 - (-19689)\/39 - (-12)\/h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -747*t = -758*t. Sort 2, t, -3, 5 in descending order.\nAnswer: 5, 2, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.25, -3\/4, 31?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -164\/3 + 54. Suppose 16*h = -4*h + 20. Which is the closest to -2\/19? (a) 0.2 (b) g (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 13 = -5*w, 8 - 12 = v + 2*w for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*o - 16. Let s = 0 - o. What are the prime factors of s*(-1)\/2 + 26?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b, 1 c, and 1 n when four letters picked without replacement from {v: 1, b: 3, n: 1, p: 2, e: 1, c: 3}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330 divided by 3134.\nAnswer: 165\/1567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o**2*z**5 + 68*o**2*z**2 + 88*o*z**5 + 2*z**2 wrt z.\nAnswer: 60*o**2*z**2 + 5280*o*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 3:10 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 + -255. Let f = 106 + w. What is the nearest to 1 in f, -19, -3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/12)\/(-3))\/(24\/288).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-16)*t*t)\/t)\/t**9 assuming t is positive.\nAnswer: t**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.5237 + -21.8773. Let q = x - -28.8. What is q rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -2*b**2 + 4*b - 4*b + 2*b + 3*b**2 - 6. Calculate the remainder when w(-8) is divided by 74\/5 + (-12)\/(-60).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 916 * 0.25.\nAnswer: 229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 102100331 (base 4) in base 14?\nAnswer: 1d39b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - v**2 + 2. Let l(r) = -3*r**3 - 26*r**2 + 3. What is -l(t) + 2*u(t)?\nAnswer: 5*t**3 + 24*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 382 (b) 2 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 73984946?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + (2 - 2 - 0). Let j(o) = -7*o**3 - 4*o**2 - 4. Let i be -13 + -3 - (2 + -2 + -1). Let q(h) = -27*h**3 - 15*h**2 - 15. Determine a*q(p) + i*j(p).\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26\/7843 - -35659\/19999650. Calculate the common denominator of p and 93\/22.\nAnswer: 28050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - ((0 - 0) + 0 - -10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13301 (base 4) to base 12\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 91\/20 + (-37943)\/9985?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -3*q**4\/4 + q**2 - q + 1. Let y(l) = l**3 - 46*l**2 + 42*l + 164. Let i be y(45). Suppose 29*w = -0 + i. What is v(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 0.3, 3, -2, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*q - 20. Suppose -2*l - 28 - q = 4*b, 4*b + 4*l = -28. Let i be ((-4)\/(-48))\/(27\/b). Is -1 < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 11. Let h(x) = -x + 4. Let k be 51\/(-12) + 3\/12. Let z(f) = k*v(f) + 11*h(f). Let i(w) = -13*w - 75 + 144 + 10*w - 69. Calculate z(i(t)).\nAnswer: 9*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/5? (a) -17 (b) -6 (c) -5 (d) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**2 + 55*j**2 - 3*j**2.\nAnswer: 62*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2619*k**3*t**3 + 2*k**3*t**2 - 21*k**2*t**2 + k**2 - 10*k*t**3 - 462*k*t**2 wrt t?\nAnswer: 15714*k**3 - 60*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5191\/19, 1\/2, 0.8?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 + 10133?\nAnswer: 10133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.34708844 to 0 decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(sqrt(30)\/sqrt(640) - -2*(sqrt(15)\/sqrt(5))**2)*-1.\nAnswer: 15*sqrt(3)\/8 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0408, -1, 5, -3, 1\/3, -5\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 3*j + 432, 0 = 4*m - 5*j - 366 + 23. Calculate the remainder when m is divided by 44.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5, -60, -115, -170?\n\"Answer: -55*r + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1057 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 10) to base 12.\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -319222 divided by -2\nAnswer: 159611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 l when two letters picked without replacement from {t: 1, d: 1, l: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -197*r - 3. Is h(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 11) + (-15 + 7 - -1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -43 + 23 + 5*w**2 + 20. Let c(m) = 7*m. Determine b(c(x)).\nAnswer: 245*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2245 - -2353. What is the least common multiple of y and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826945 smaller than 826947?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**3 + 5*j**2 + 2*j + 3. Let r be f(-3). Let n = 0.17 + -1.17. Which is the nearest to n? (a) -3 (b) -0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -2. Suppose s*o = 37 - 7. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + -341)\/(4*(-4)\/208). Suppose 3*z + z + 2*y - v = 0, 5*y - 3352 = -3*z. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3\/5 + 23304*m**2\/5 + 22092102*m\/5.\nAnswer: 2*m*(m + 1041)*(m + 10611)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11\/27 + -2\/27. Let i be (11\/2)\/(169\/(-4082)). Let o = -133 - i. What is the biggest value in -0.4, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 + 14. Let q be (-3)\/(-5)*(5 - 0). Suppose g + 3 = 0, -1 = -2*o - h*g + q. What is the highest common divisor of o and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 56 - 4 + 1 + 161 - 7*n in the form z*n + m and give m.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3862600034?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7286 a factor of 999981642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.11, -2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2. Suppose 10 = -c - 4*c. Let k = c - -4. Let t(q) = -3*q + k*q + 0*q. What is w(t(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 20, 50, 92, 152, 236, 350, 500, 692?\n\"Answer: w**3 + 23*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(550\/145) - 4\/(-22)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -677, -671, -653, -617, -557, -467, -341, -173?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2. Let v(u) = -203687*u. What is v(o(w))?\nAnswer: 407374*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2296743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + 5 + (161 - 192) - (1 - -61).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (-1 + (0 - 0)). Suppose 3*l - 22 = -3*r - r, 0 = 2*l - 4. Let g(x) = -2*x**2 + 4*x**2 - r*x**o. Let h(t) = t**2. Give h(g(s)).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 493926.5 years?\nAnswer: 49392.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3*v + 16. Suppose t + 11 = -0*t. Let d be f(t). Let m = -12 - d. Which is greater: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 take away 2395114248?\nAnswer: -2395114229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 - 23. Let y be ((-168)\/(-6))\/(7 + x). Let f(d) = 13*d**3 - 7*d**2 + 7*d - 7. Let j(z) = 6*z**3 - 3*z**2 + 3*z - 3. What is y*j(q) - 6*f(q)?\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -84\/509, 22, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6956437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6125987328?\nAnswer: 2, 3, 3988273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b, -i - 472 = -3*i + 4*b. Suppose -z + 21 + i = 0. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/20)\/((-20)\/(-50)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -1) + 46 + -50.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/549 and -29\/626104.\nAnswer: 5634936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + f - 12. Suppose 4*o = -3*d + 22, 0*d + f*o = d + 14. Find y such that 4*y**d - y - 5*y**2 + 2*y = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*n + 5*n + 36*n**5 + 12*n + (6*n**2 - n**2 - 3*n**2)*(-n**3 + 2*n**3 - 2*n**3).\nAnswer: 34*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of s**7\/5040 + s**6\/2160 - s**5\/360 - 9*s**3 - s**2 + 1. Let z(x) be the first derivative of d(x). Find p, given that z(p) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 72, 281, 484, 681, 872?\n\"Answer: -3*y**2 + 218*y - 143","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 1\/3 (b) -0.3 (c) -3 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j**3 + j**2 + 4*j - 3. Let a be t(2). Let s(u) = u**3 + 6*u**2 - 7*u + 3. Give s(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -446, -445, -446, -449, -454, -461, -470?\nAnswer: -481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/((-24)\/(-276)*23)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29080.41 * -8.2\nAnswer: 238459.362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1018 by 509.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11638*b - 11410*b + 9*b**2 + 22772*b)*(-b + 0 + 0) as w*b**2 + s*b**3 + u*b + q and give w.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(1\/1))\/((-138)\/92)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/19)*x)**(-35) assuming x is positive.\nAnswer: x**(-735\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -3291 (base 13) in base 14?\nAnswer: -27d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, q: 10, b: 5, a: 4}. What is prob of sequence aa?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -70 * 1007047.\nAnswer: -70493290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 267380?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -6*v. Let b(f) = 2*f + 59. Determine b(p(s)).\nAnswer: -12*s + 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 25721 and 5696.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/7*259\/(-222).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*y + 2*y. Suppose -2*a - t = -6, 5*t + 0 - y = 2*a. Find m, given that 0 + 3*m**a + 3*m - 4 - m**4 - 3*m**3 + m**3 + m = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**5 + 15*d**4 + 10*d**3 - 114*d**2 - 80*d wrt d.\nAnswer: 120*d**2 + 360*d + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(((-2)\/121)\/(-2)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*6\/(-9) - 41. Let l be -1 + (46 + 0)\/(-2). Let k = l - z. Calculate the highest common divisor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2061976319\/80 + -25773644. Let l = h - 1060. Which is smaller: -1 or l?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 15*v**2 - v + 18. Let h be b(15). Let q(f) = f**3 - 2*f**2 + f + 1. Let s be q(2). Solve -d + h*r + 16 = -s*d, -3*d - 17 = r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -96*z - 39*z + 4918 + 212 for z.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44 - -574\/13. Which is the second smallest value? (a) 1 (b) m (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 11727818*i**3 - 17762928?\nAnswer: 35183454*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 14*h + 5. Let x = -3 - -9. Is u(x) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i - 0 + 40. Which is the closest to -1? (a) -3 (b) i (c) 0.1 (d) 0.042\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.03, 1, 0.127288, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 3\/2*s**2 + 16*s - 1\/20*s**5 + 0 - 1\/12*s**4 + 1\/3*s**3. Determine a(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69978 and 981.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 16, -0.6, 1\/8, -3\/128?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/48*-36*((-1320)\/(-135))\/(-44)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + c**2 + 1. Let h(f) = 3*f - 4. Let t be h(4). Let p = -1 - -6. Suppose t = -p*r + r. What is u(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -993286440183 + -0.2.\nAnswer: -993286440183.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -15792555, -126340449, -426399027, -1010723631, -1974069603?\n\"Answer: -15792557*x**3 + 5*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-66)\/6 + (3 + -3)\/5.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 53*y**2 + 2 - 173*y**2 - 391*y**2 - 46*y**2 - 166*y**2 as h*y + t + f*y**2 and give f.\nAnswer: -723","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3135207660 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*v - 77*v**3 - 50*v**2 - 27*v + 82*v**3 + 110 = 0. What is v?\nAnswer: -2, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 9) in base 2?\nAnswer: 1111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3510511241 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((-5 + sqrt(304)*1 + sqrt(304))**2 + -3)*-6*2.\nAnswer: -2880*sqrt(19) + 44568","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -627*h - 22 = -630*h + 2*q, -4*h + 304 = 66*q for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -0.16.\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 4*h - 1. Let k(m) = -7*m**2 - 462*m + 9. Let s(w) = 9*f(w) + k(w). Solve s(d) = 0.\nAnswer: 0, 213","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-20)\/84*7483\/32070.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 p when two letters picked without replacement from uupupaaa?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 57 = -3*t, -14*t - 203 - 3 = -213*f + 214*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24648 by 632.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the third derivative of -w**7\/280 - 19*w**6\/540 - 11*w**5\/90 - w**4\/9 + 19*w**3\/6 + 9*w**2. Let o(x) be the first derivative of c(x). Factor o(n).\nAnswer: -(n + 2)**2*(9*n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -7750 in descending order.\nAnswer: 3, -4, -7750","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**2. Let y(m) = 2*m. Let o(p) = -2*p. Let k(w) = 3*o(w) + 2*y(w). Give d(k(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(9\/(-3) - -1). Let v(n) = 2*n - 1. Let z be v(w). Suppose 0 = z*t + 15, -5*o + 2*t + 78 = t. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1126781 is divided by 33?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 114?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -16*b*g*l + 2*b*g - b*l + 2*b + 2*g*l - 400*g wrt l?\nAnswer: -16*b*g - b + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2907472 and 64?\nAnswer: 11629888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 16 = s, -2*z + s - 25 = -36. Solve 0 = 5*l - 3*v + 11, -z*l + 2*v + 0*v = 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 4*m + 2, -6*m + 2*k + 7 = -3*m. Let z be (8\/(-24))\/(m\/(-15)). Suppose 0 = -z*y + 1 + 29. Solve y = -0*x + 4*x - 5*l, 4*x = -3*l - 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 601 - 541. Calculate the remainder when 179 is divided by s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 325422282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(-69)\/(-12)*6. Suppose 2*o = -o + w. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/u**(-3\/7))\/u**(-2\/7)*u\/(u\/(u\/u**(-1\/8)))*u\/(u\/(u**(5\/4)*u)))**(7\/2) assuming u is positive.\nAnswer: u**(341\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6907, 14037, 21167?\nAnswer: 28297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 838896 divided by 209724\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53936*m - 53977*m + 271625 = 0. What is the remainder when m is divided by 315?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91091 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*o + 25*o + 264. What are the prime factors of o?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 204 = -0*w. Let t = 97 - w. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19435 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 12. Let o(p) = -13*p**2 - p**3 - 11 + 26 + 7*p**2 - 7*p**2. Let r be o(u). What is the greatest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 1, 7275, -2, 4 in decreasing order.\nAnswer: 7275, 7, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3986252 is divided by 81?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(150)*3 + sqrt(6))*-2*-1)\/((sqrt(112)\/(sqrt(21)\/sqrt(3)))\/(-2*sqrt(1152))).\nAnswer: -3072*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 14315405 + 311?\nAnswer: 14315716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 5*r = 0. Suppose -b + 3*b + 2*i = r, 5*i = 3*b. Suppose b = 19*h - 14*h - 165. Is h a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1215424)\/(-42) + (-3 - 7\/(-3)). What is the second derivative of -52*r**5 + 2 + 28828*r - h*r - 54*r**5 wrt r?\nAnswer: -2120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 633132?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**3 - 10913*v**2 + 261284*v + 566228.\nAnswer: (v - 10889)*(v - 26)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 251 and 10?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14012.\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - f - 17, 5*f = -m - 0*f - 1. Let k be m\/(-28) + (-34)\/(-52). Let 0*l + 0*l**3 - 4\/13*l**2 + 2\/13 + k*l**4 = 0. Calculate l.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 24 = -2*n. Suppose 8*a + 10 = 82. Calculate the remainder when n is divided by 10\/(a\/(-15) - (-52)\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 921.4666um?\nAnswer: 0.9214666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 8*n**2 + 10. Suppose 0 = 5*u + 2*g + 27, -g + 4*g = 3*u + 33. Does 12 divide m(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) + (-16)\/(-12). Suppose -12 + 7 = -m. Solve -7 = m*u - p for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -2*r**2 + 1. Let i be c(2). Let u be 1*-1 + 6 + i. Suppose m + 6*p - 9*p + 9 = 0, 8*m - 5*p = -15. Sort m, u, 3 in increasing order.\nAnswer: u, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 14*g - 18. Let x = 28751 + -28763. Give i(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -55, -19, 17, 53, 89?\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven halves of a millimeter?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 746575 to the nearest integer?\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 31 (b) -5 (c) 2\/39 (d) -1 (e) 2 (f) -7.6 (g) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -83676 divided by -3?\nAnswer: 27892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 482.4354km in nanometers?\nAnswer: 482435400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the first derivative of r**9\/1512 + r**6\/120 + r**3 + 2. Let t(n) be the third derivative of f(n). Find the third derivative of t(l) wrt l.\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145123, 580475, 1306065, 2321893?\nAnswer: 3627959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3467902?\nAnswer: 2, 59, 29389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 2*n - 2*n)*(-2*n + n - 2*n) + (2 + 3 - 4)*(-662108*n + 5210*n**3 + 662108*n).\nAnswer: 5216*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 + 0.1. Let n = 99\/28 + -13\/4. Let b = -88\/9 + 10. What is the nearest to s in n, -1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -32, 1, -3, 5, -2 in ascending order.\nAnswer: -32, -3, -2, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0036801 to five dps.\nAnswer: 0.00368","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1\/7, -10, 2.\nAnswer: -10, -5, 1\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in milliseconds?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {y: 2, g: 1, b: 1, v: 3, m: 3, r: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}