diff --git "a/data/dm_maths/full_data/1286_11255.jsonl" "b/data/dm_maths/full_data/1286_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1286_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let d(h) = -5964*h**2 - 355*h - 355. Let t(v) = 67*v**2 + 4*v + 4. Calculate 4*d(y) + 355*t(y).\nAnswer: -71*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*y**3 + 3*y**3 + 0*y**3)*(2*y + 2*y + 2*y)*(-2 + 3 - 38).\nAnswer: 1998*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 259 is divided by 13 + 8 + -5 + 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*a + 44*a + 21*a + 1207*a**5 + 44*a + 337*a**5 + 8 wrt a?\nAnswer: 30880*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 22\/(-6) - -1 - (-12)\/(-36). Suppose -z - 6 = -1. Put s, 6, z in descending order.\nAnswer: 6, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuccucuccccc. Give prob of picking 2 u and 1 c.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3707 - -9490. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 456 + -592. Is o greater than or equal to -136?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + -4. Let b = -13.99935 - w. What is b rounded to 4 decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x**3 + 5*x**4 - 4*x**2 + 2*x**2 + x**2 to the form f*x**2 + p*x**4 + t*x + v + o*x**3 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3, -2*x - h = -0*h - 75. Suppose 7*y - 4*y - x = 0. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 10. Let i = 8 - m. Solve v + 2*v**i - 1\/2 + 7\/2*v**2 = 0 for v.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Suppose i - 79 = -l. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (50\/45)\/((-12)\/(-54))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (1 - 123*-1)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101228*x - 40*x**2 - 29*x**2 + 101245*x to the form s*x**2 + z*x + n and give z.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11537?\nAnswer: 83, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -626626474, 0, 4 in descending order.\nAnswer: 4, 0, -626626474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 3, 2, 0.12, -2, 6670.4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -400 divided by -25\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*g = 0. Suppose g = 4*r - 8*r + 72. Suppose -25*b + 24*b + 6 = 0. What is the smallest common multiple of r and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4741?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2 - 0) + 6 + 6. Let g = -1064 - -1144. What is the highest common factor of g and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/7, -0.056, 1?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -127*c**3 - 881*c**2 + 88*c + 22. Give w(-7).\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -238272 in -0.08, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 4. Let d be ((-1)\/(-2))\/(1\/(-4)). Let y = d + 2. Let o be w(y). Which is the closest to -0.1? (a) 5\/2 (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56412?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -318 (b) 3 (c) 0.4 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8507 + 9783 - 915*h**3 - 70*h**3 wrt h.\nAnswer: -2955*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4420 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-8) - (-36 - (-142687)\/3492).\nAnswer: -28\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, t: 4, i: 2, g: 6}. What is prob of picking 1 o, 2 t, and 1 g?\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 115.01.\nAnswer: -117.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 5 (b) -7 (c) 2\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-326*i**2 + 2*i**3 + 326*i**2 + 128*i)*(3 + 2 - 4).\nAnswer: 2*i**3 + 128*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5715*o*q**3*r**2*z**3 + 4*o*q**3*r*z + 4454*o*q**2*r*z**2 + 5*o*q**2*r*z - 386*o*q*r**2*z + q*r*z**3 wrt r.\nAnswer: -11430*o*q**3*z**3 - 772*o*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.029, 2\/5, -7\/8, -5, -0.2, 1\/8?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 8*p - 5. Let l be n(6). Let u = 2448.9 + -2449.9. Let i = 5.6 + -6. What is the third smallest value in l, 0, u, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = 5*x - 174. Let h(k) = -k**3 + 6*k**2 + 5*k + 3. Let o be h(7). Is o <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 2*v**2 + 6*v - 2. Let f be x(-3). Let m = 26 + f. Let u = m - 9. Calculate the greatest common divisor of u and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15939364, 15939372, 15939380?\n\"Answer: 8*a + 15939356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6722\/2523 + 2\/841. Let u = 11 - 7. Are u and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 48248?\nAnswer: -48251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 34, 7, 14, 0, 18 in increasing order.\nAnswer: -4, 0, 7, 14, 18, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 100, 241, 430, 667, 952?\nAnswer: 1285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 63*q**2 - 132*q + 389. Calculate the least common multiple of 63 and u(65).\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 375\/7*d + 1\/7*d**3 + 187\/7 + 27*d**2.\nAnswer: (d + 1)**2*(d + 187)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1929441 divided by 3593\nAnswer: 537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 78342c (base 13) to base 10\nAnswer: 2834844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k + 4. What is the tens digit of h(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -994471069672?\nAnswer: 994471069674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 91 - 89. What is the second derivative of -c - 877*c**2 - 3 + 2*c + 921*c**s wrt c?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -480 = -5*g - 3*g. List the prime factors of g.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - 22. Which is the smallest value? (a) 1 (b) -2\/7 (c) y (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the third derivative of -i**5\/12 - 4*i**2. Let c(r) = -r. Calculate z(c(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2519*c - 7648. Determine u(-3).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10004, 10069, 10206, 10439, 10792, 11289, 11954, 12811?\nAnswer: 13884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2 - 4*c. Let q be d(-4). Let l be 2 - 1 - (q + 4). Let s be (-3243)\/(-21) + l\/7. What is the greatest common divisor of 22 and s?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/953 or 1?\nAnswer: -1\/953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 - -61 - -1*2. Let w be (-135)\/(-20)*32\/3. Is w < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 + b**4 + 2*b**4 + (-3*b**3 + 6*b**3 - b**3)*(0 + b + 0) - 3*b**4 + 2*b**4 + 2*b**4 - 17*b**4 + b**2 - 3*b**2 + 11*b**4.\nAnswer: -2*b**4 - 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -121959.\nAnswer: 121958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27, 34, 45, 60, 79?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*h + 51 = -r, 188 = 3*h + 4*r. Let s = h + 6. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.467 + 0.067. Which is the closest to -13? (a) -1\/9 (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 4*b - 4*t, -3*t = -b + 1229 - 1242 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s**3 - 4*s. Suppose 4*n - 6 = -18. Let o(i) = -5*i**3 - 3*i. Let d(p) = n*o(p) + 4*r(p). Find the second derivative of d(k) wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllxllllllxllxxlxxl. Give prob of picking 4 x.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*x - 2 + 2)*(17 - 37 - 31) - 2*x + x - x)*(-1300*x + 1300*x + 47*x**2) as r*x**2 + t*x + f*x**3 + u and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 43097*f + 21979*f - 1.\nAnswer: -21118*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.631 - 0.031. Suppose 4*q - 4*w - 16 = 0, -2*q - 5*w + 4 = -3*q. Which is smaller: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -84*c**2 + 9115*c - 26577. Determine h(3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 + 28. Let n = -14 - a. What is the remainder when 30 is divided by n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -2*t - 459, 5*t - 2*v + 3*v = -1090. Let n be 4\/(-20) - t\/35. Solve -8 = -m - n for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 167*p - 148*p + 7*p**2 + 0*p**2 - 5*p**2 - 57 - 19*p.\nAnswer: 2*p**2 - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/19)\/((k\/(k*k\/(k*k**(2\/9))))\/k))\/(k\/k**(-16))**42 assuming k is positive.\nAnswer: k**(-121925\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 114817 divided by 2?\nAnswer: 114817\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -735, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45 and 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0, 40, 0.592, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j. Let w(y) = -14*y. Give 77*g(x) + 6*w(x).\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**4 + 0*v**4 - 4*v**5 + (v - v - 2*v**3)*(-2*v + v**2 + 2*v) + 705*v**5 - 503*v + 503*v.\nAnswer: 699*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*c = 78*c. Suppose 5*i + 9 + 6 = c. What is the units digit of (-1)\/i - 940\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 3) + -41 + 37. Sort 60, -1, j, -2 in decreasing order.\nAnswer: 60, -1, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1528\/7 + 218. Let l = 0 - -0.3. Which is the third smallest value? (a) 1\/6 (b) l (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1111001100110001010 (base 2) to base 9\nAnswer: 838177","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a0487 + -8?\nAnswer: 2a047b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5523*n**3*p + 9*n**2*p - 191101*n*p wrt n?\nAnswer: -33138*n*p + 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + ((-2)\/2 - 0). Let s(j) be the second derivative of -j**5\/20 + j**4\/6 - j**3\/6 + j**2\/2 + j. What is s(z)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/3*6\/44. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -1074.307\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.351 - -5.346591. Round w to 4 dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -577*z - 6455 = -7*z + 385 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20, -20, 10, 76, 184, 340?\nAnswer: 550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/39485 - -3048244\/39485. Let o = l + -67\/10. Let a = 579\/8 - o. What is the common denominator of a and -101\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 168\/(-12)*2\/4*-11. Suppose -109 - n = -2*c. What are the prime factors of c?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 62, 64, 66, 68, 70?\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(230\/(-12)))\/((-3)\/(-10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1517 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - n - 138. Let g = 156 + 5. Let l = 184 - g. What is the highest common divisor of l and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 2*c + 12 = 0, 4*p = -0*p + 5*c - 23 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 2*(sqrt(6050) - (sqrt(6050) + sqrt(6050)*3))\/sqrt(10)*-3)**2.\nAnswer: 396*sqrt(5) + 196021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*n - 199 = 0, h = 6*h + 3*n - 338. Suppose 284 = -63*j + h*j. What are the prime factors of j?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 83408 + 165?\nAnswer: 8356d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -3. Let u be (-1)\/(-4) - 21\/180. Which is the closest to -2? (a) u (b) 1 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4475580 to the nearest one hundred thousand.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 168 or 164?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 - -5. Calculate the common denominator of 1\/6 and ((-32)\/4)\/(h\/(-13)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 + 4*z**2 - 6*z + 2. Let i be n(-5). Suppose 0 = -i*y + 2*y. Suppose -d + 3*l + 308 = y, 0*d + 5*l + 318 = d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -129.0053 rounded to one decimal place?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -2*a + 207, 2*a - 63 - 109 = -4*k. What is the greatest common divisor of 7344 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8630 - -8640. What is the greatest common factor of m and 115?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, b: 2, o: 2, h: 2}. Give prob of sequence bbhx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -a**4 - 36642*a**3 - 333153237*a**2 + 45999274384*a + 93330868596 = 0.\nAnswer: -18389, -2, 138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q - 64 + 5*q**2 - 5*q + q**3 + 4*q - q.\nAnswer: q**3 + 5*q**2 - 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9.97 times -35282\nAnswer: -351761.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2919 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 251\/6 (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*l + 128*l = -25, -2*f - 5*l + 33 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -957 + 958.21. Which is greater: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*i + 9 = -109*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 4826844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*2*2\/12. Solve -4*r = l - 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2319 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2112 divided by 528\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 0.4 (c) 37 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 501762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2363385718.0000077 - 2363385572. Let i = -110.1 + -35.9. Let h = i + s. Round h to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 n when four letters picked without replacement from {n: 3, s: 5}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16528, -17357, -18188, -19015, -19832?\n\"Answer: o**3 - 7*o**2 - 815*o - 15707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + (4*(-1 + sqrt(176)) - -6*(sqrt(176) + (sqrt(176) - (sqrt(176) + 1)))) + -5)**2.\nAnswer: -1040*sqrt(11) + 17769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39.68 + 0.68. Let d = -20666 + 20626.908. Let t = d - k. Round t to two dps.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 + 6 + 3 - 9 - 2*y in the form a*y**2 + n + h*y and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4340 + 10?\nAnswer: 4400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -192196.1 to the nearest 1000.\nAnswer: -192000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*k + 21 = 7*b - 8*b, 4*k = 6*b - 34 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**4\/7 - 18*s**3\/7 - 16*s**2\/7 = 0?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**5 + 4714*a**4\/3 + 69124*a**3\/3 - 139816*a**2\/3 - 34432*a\/3 = 0. What is a?\nAnswer: -16, -2\/9, 0, 2, 538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of j**2 - 1\/2*j**3 + 0 + 3*j. What is the derivative of d(i) wrt i?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + t - 444 = -t, 4*t = -4*z + 360. Let r = -52 + z. Suppose 0*b - r = -3*b. Calculate the lowest common multiple of 5 and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of d**5\/20 + 2*d**4\/3 + 7*d**3\/6 + d**2\/2 - 20*d. Let p be o(-7). Solve 4*g - 5 + p = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 900 and 51975.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/11)*o**(-5))\/(o**(1\/2)*o**(-2)*o))\/(((o*o*o\/(o*o\/o**1)*o)\/o)**2\/(o\/(((o\/o**1)\/o)\/o))**19) assuming o is positive.\nAnswer: o**(1071\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*6*((sqrt(99) + -4 - sqrt(99)) + 2) + 0)**2.\nAnswer: 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(175) - -4*(-1*sqrt(175) + sqrt(175)) - (sqrt(175) + -3 + -1 + sqrt(175)))**2 - (2 + ((sqrt(70)*2*-4 + sqrt(70))\/sqrt(10) + 1)**2).\nAnswer: -155 - 26*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 197973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*f + 27, 3 = 634*f - 639*f + 4*g. Which is the fifth biggest value? (a) 0.01 (b) 5 (c) f (d) 14 (e) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/(-4))\/(3 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in 124, 0.1, 1.32?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 - -111. Let k = 0.2 - -0.2. What is the closest to r in -5, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8466)\/(-4) - (75\/10)\/5. Suppose 106*g - 97*g - v = 0. Does 2 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c + 3 = 3*n + n + 25, -7 = 3*c + 4*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 - 290 = -9*a. Suppose 0 = -59*g + a*g. Let t = -4\/15 + 1\/60. Which is smaller: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 108*q - 102*q + 18. Let v(g) = g + 2. Let x(w) = -w - 1. What is q*v(p) - 6*x(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -40, -328, -810, -1486, -2356, -3420, -4678?\n\"Answer: -97*g**2 + 3*g + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 2015.33499\nAnswer: 1007.667495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 84, 91, 124, 195, 316, 499?\n\"Answer: 2*l**3 + l**2 - 10*l + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 12 - 5 = -5*x, -5*x - 3*i + 11 = 0. Suppose 3*u = -2*w - 0*w - 10, u + 20 = -x*w. Suppose 4*o + u*o = 28. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 54?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 0*n**2 - 8*n - 1\/6*n**4 + 0 - 5\/6*n**3. Find the second derivative of g(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + 2. Let p be (5 - 1) + 2 + -1. Let g = p - 0. Solve 3*k + 3*l + 4 = x, 4*k + g*l - 25 = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*h - 3*h + 3*o, -5*h = -3*o - 8. Suppose a + h*a - 300 = 0. Suppose -4*t + a = 4*i, -70 = -4*t - 0*t - 2*i. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/4 and ((-20)\/6)\/(116\/(-9) - -2)?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 + 23*p**2 - 11*p. Let q be o(11). Sort q, 2, -42.\nAnswer: -42, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 78.05 (b) -0.31 (c) -4\/3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/35 + (-4)\/(-14). Suppose 5*j + 10 = -5*f, f - 4*f + 2*j = 6. Let w be (8 - 7) + f + -2. Put 0, u, w in increasing order.\nAnswer: w, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10041 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7999 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9 or 2863?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0.01. Let a = -3.333 + 3.3230005. Let i = c - a. What is i rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12.5 and 104.157.\nAnswer: 1301.9625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -11, -5, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -70 + 108. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 2*z + 31, -29*d - 4*z - 52 + 359 = 116 + 72 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7144 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6760712 divided by -4.\nAnswer: 1690178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88475.\nAnswer: 5, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162.6383l to millilitres.\nAnswer: 162638.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*1\/(-6)*-3. Suppose 3*x + 2*x = -3*q + 30, -x - 12 = -3*q. Let s be x\/(3 + -5 + 1). Put -5, s, o in ascending order.\nAnswer: -5, s, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 0*o - 48 = -4*m, 4*o = 5*m + 129. Let j = -31 + o. Solve 2 + 3 = j*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(8\/6 - 2). Let o(k) = -11*k - 18. Let a be o(n). Solve 0 = -3*j + 7*j + a for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 - 870*p**2 + 41 + 805*p**2 in the form n + a*p + k*p**2 and give k.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 5:38 PM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2464640*l**2 - 656192*l.\nAnswer: 4929280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {g: 2, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(-24))*m)\/(m*m**(10\/11)\/m)*m**14\/m**(-1))**(-29) assuming m is positive.\nAnswer: m**(-12470\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 17*t - 5*t to o*t + k and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**3 - 2 + 2*f**3 - 2 + 2 as z*f**2 + k*f + g*f**3 + h and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 6)\/(-22) + 57\/(-209).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 2*s - 19, 2*s + 3 = 6*s + w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -36, 3, 5 in increasing order.\nAnswer: -36, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -546830 and -736.\nAnswer: 402466880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 2*x - 2*g + 2, -x + 4*g = -6. Solve k + 4 + 3 = -5*b, -x*k + 3*b + 12 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58.48312 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111.2 + -634504.8778.\nAnswer: -634616.0778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 13*x**2 + 147*x - 36969. Calculate p(48).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 151197103 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -21113?\nAnswer: 21121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1600 and 480?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -729*r + 0*r**2 + 729*r - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 3. Let b = 22 + g. Suppose 0 = -3*z - 0*z + b. What is the smallest common multiple of 2 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 8*o + 13. Let d be l(-7). Suppose -d - 4 = 5*y. Let i be (-28)\/(-63)*(-9)\/y. Put i, 1, -1, 0 in decreasing order.\nAnswer: i, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l - 15. Let r(q) = 4*q - 26. Let s(c) = -9*i(c) + 4*r(c). Let t(d) = -d**2. Give s(t(f)).\nAnswer: 2*f**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.787471kg to tonnes.\nAnswer: 0.009787471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 195516 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 20 = -c, -204930*p + 5*c = -204927*p - 40 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 4*s + 16, -3*x + 16 - 30 = -4*s for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -5 + 9. Let t = 42 + -90. Let s be (q + t)\/(5\/(-430)). What is s rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 + 3*g**2 + 4*g + 7. Let y be (4\/6)\/(16\/(-168)). Let p(f) = 5*f**3 - 5*f**2 - 7*f - 13. Determine y*l(b) - 4*p(b).\nAnswer: b**3 - b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 89640 = -3*x. Suppose -x - 5776 = -4*a. Suppose m = -2*l - 2958, 3*l - 3*m = -l - a. Round l to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 752.1641ml?\nAnswer: 0.7521641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + k + 4 + (-5*k + 2*k + k)*(-1 + 3 - 3) + 4*k + 2*k - 4*k + 1 - 1 + 2*k.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 515 (b) 2 (c) 4 (d) -0.01 (e) -0.4 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19)\/(1463\/(-99))*(-24)\/(-36)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 396 and 37806516.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 23 + 2*d - 4*d - 18 - 74 in the form a*d + h and give h.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 24*p + 8*p - 24 + 18*p**2 + 7771*p**3 - 7805*p**3 + 2*p**5 + 6*p**4 = 0?\nAnswer: -6, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1683, -2\/91, -1\/20 in decreasing order.\nAnswer: -2\/91, -1\/20, -2, -1683","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-6))\/((40\/(-28))\/((-2)\/7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((5*-1)\/(-1))\/((-14)\/(-14))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3720.033636 rounded to the nearest one hundred?\nAnswer: -3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*a**2*o**2 + 3245*a**2 + 43575088*o + 9616 wrt o.\nAnswer: -8*a**2*o + 43575088","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 6335.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9288 - -9320. Calculate the lowest common multiple of k and 1708.\nAnswer: 13664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 2. Suppose -z = -l + 3. Let n be 2 - (-1)\/((-2)\/z). Solve n*a + 13 = 1 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -1333*t**3 + 389*t**2\/2 + 6*t - 691. What is the second derivative of c(r) wrt r?\nAnswer: -7998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 61532 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31277 = -745*u + 16403 for u.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 1 = 4*l - t, 0 = -4*l + 2*t + 16. Let n = -4 - -3. Sort l, 4, 3, n in descending order.\nAnswer: 4, 3, l, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3521, 14079, 31675, 56309, 87981, 126691?\n\"Answer: 3519*c**2 + c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - f - 4 = 0. Let i(o) = o**3 - 31*o**2 - o + 34. Let b be i(31). Suppose -b - f = -t. Put -3, -5, t in descending order.\nAnswer: t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -161 (base 7) to base 9\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3212 - -3393. Let x(r) = 2*r**2 - 2*r + 1. Let j be x(7). Let o = z - j. 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 162668685 to the power of 1\/2, to the nearest integer?\nAnswer: 12754","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((5\/1)\/(1515\/606))\/(2\/2*-5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30435 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gffizflfyglllligll. What is prob of sequence gl?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*3*3\/6. Suppose -3*k = -4*z + 177, 2*k = y*k - z + 59. Is -60 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.326904863 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = o - 7, -2*a + 4 = 2*a for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 796005*j**3 + 43890*j**2 + 605*j = 0?\nAnswer: -11\/399, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118609781*g**3 - 207731557*g**2.\nAnswer: 711658686","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(9)\/sqrt(3)*-4 + 2).\nAnswer: -8*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9263 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*g**3 + 15*g**3 + 9 + 2*g - g**3 - 2*g - 2*g**3 - g**3 + 4*g**3 + (-2*g + g + 3*g)*(2 - 2 - g**2))*(6*g - 9*g - 18*g).\nAnswer: -189*g**4 - 126*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11 - -0.12. Suppose 3*f = 4*h + 24, 0 = 8*f - 3*f - 2*h - 26. Let m = 0.085 + -0.585. Put f, m, c in ascending order.\nAnswer: m, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 + 0.07. Let p be 3\/((-14 - 13) + 10). What is the second biggest value in h, p, 0.1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.25 + 18.75. Let f = 59576667.10000022 - 59576648.1. Let b = c - f. Round b to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - 8*k - 2. Let l(j) = -j**3 + 4*j**2 - j + 7. Let i be l(4). Let c be b(i). Suppose 6*y - 75 = 11*y. Which is greater: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/5))**(-3))**27)**(-38) assuming b is positive.\nAnswer: b**(3078\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 2*y + 21. Let k be 4\/y*(-3)\/6. Let m(j) = -j**2 - 20*j - 65. Let f be m(-16). Is k < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274 is divided by 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1498 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-one fifths of a gram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47008?\nAnswer: 2, 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 3*m + 20. Suppose -m*n - 29 = -9, -3*i = -n - 13. Suppose -i*w = 5*x - 75, -2*w - 5 = x - 13. What is the remainder when x is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.37 less than or equal to 0.09?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9232*p**4 - 386*p**3*u + u - 5494095 wrt p?\nAnswer: -36928*p**3 - 1158*p**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 17*l + 202. Let r be v(-8). Sort 0.4, -1, r, -1\/4, -38 in descending order.\nAnswer: r, 0.4, -1\/4, -1, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/80*14*(-12)\/(-42)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - 127*t**2 - 14*t**2 + 2 - 87*t**2 + 17*t**2 in the form f*t + o*t**2 + j and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.5*-1.22\nAnswer: -1.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8497539 to the nearest integer?\nAnswer: 2915","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/3)\/(12\/18). List the prime factors of (m - 2) + 1 - -18.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1442 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1127482 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.268036 + -0.269. Round y to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*k + 180*k - 32929. Solve 49*z - k + 25 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 7*m. Let k be t(-1). Let w(f) = -9*f - 9. Let d(j) = -4*j - 4. Let b(u) = k*d(u) + 3*w(u). Let z be b(0). Solve 0 = 4*a - z + 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 2*l = -12*j + 14, -l - 1 = -3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfa when three letters picked without replacement from aidddiafak.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of d**4\/2 - 5*d**2\/2 - 5*d. Find the first derivative of c(y) wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) -1\/2 (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11383*t + 11382*t + 6*a - 2, 10 = -5*t + 4*a for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**2 - 3*z - 49. Let j be p(9). What is the third derivative of -29*r**5 + 11*r**2 + 29*r**j + 4*r**2 - 5*r**6 wrt r?\nAnswer: -600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-59180)\/(-65098) - 6770\/(-55)\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 271208.\nAnswer: 2, 7, 29, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 - (13 + 120 - 104)?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, 11.2, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(260)\/(-2*sqrt(80)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 61*y. Let v(h) = -129*h. Calculate v(l(n)).\nAnswer: -7869*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 858165691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 684608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2335305\/126 - (-7)\/(-6 - 36). Which is smaller: 18533 or o?\nAnswer: 18533","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k - 7. Let r be d(-3). Let t = -2 - r. Let g(f) = -6*f**t + 39 - 19 - 19 - 6*f**2. Give g(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121201 + -12120100012?\nAnswer: -12111201111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -2\/7, -0.097, -5?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = u + 2*u - 28, -3*k + 3*u = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 20101021 (base 3) to base 4\nAnswer: 1020223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - l - 1 = -w, 893*w - 894*w - 11 = -7*l for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**2 + 110*g - 1533. Calculate b(13).\nAnswer: -441","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (54 - -6) + 26 - 64\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00236925 rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/3)\/((-18)\/(-27)). Solve -2*a - 2*h + d = -1, -5 = -5*a + 2*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 106, 105, 104?\n\"Answer: -c + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -177*c**2. Let g(r) = 163*r**2 - 481*r**2 + 161*r**2 + 160*r**2. What is g(p(q))?\nAnswer: 93987*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + 11. Let u(t) be the second derivative of -3*t**3\/2 + 6*t**2 + 3*t. Let x(h) = h**2 + h. Let c(p) = y*u(p) + 4*x(p). Factor c(f).\nAnswer: 4*(f - 6)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*h = 5*l - 50, -5*l = -4*h + 31. Suppose 2 + h = j. Suppose 5*z - 62 = 3*z. What is the remainder when z is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 7:39 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**2 - 110*d = 0.\nAnswer: 0, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -441, -878, -1307, -1728, -2141?\n\"Answer: 4*b**2 - 449*b + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lly when three letters picked without replacement from llylyyl.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -750 + 747. Let o(b) = 6*b**2 + 3. Let d(v) = -5*v**2 + 4*v - 1. Let f(j) = j**2 - j. Let n(y) = -d(y) - 4*f(y). Give m*n(a) + o(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**3 + 2*j**2 - 5*j - 2. What is the tens digit of r(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.177 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 153172, 3, 2, -23 in descending order.\nAnswer: 153172, 3, 2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 9*z = -37. Suppose -3*p = 7 + 53. Let f be (24\/p)\/(3*(-2)\/(-180)). Which is smaller: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**3 + 4*t**3 - t**3)*(-139*t + 19 + 282*t - 145*t).\nAnswer: -4*t**4 + 38*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 3\/2*t**2 + 3\/4*t**5 - 3\/2*t**4 + 0*t**3 - 3\/4*t.\nAnswer: 3*t*(t - 1)**3*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -1120*i - 71. Is c(-16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 3*k - 30, 3*k + 0 - 12 = 0. Let d(z) = -z + 11. Let c be d(q). Solve -5*b + c*v + 1 = -4, -4*b + 28 = 2*v for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-28)\/(-90) - 1\/5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000917 rounded to five decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, -0.3, 1.6, 1067029, 3, -3\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.27 times -5?\nAnswer: 46.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16833329 to the nearest integer?\nAnswer: 4103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56398, -106184, -155970?\n\"Answer: -49786*q - 6612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (4941\/18 - -10)\/(2\/4) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.39 and -40 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8595853ng in micrograms?\nAnswer: 0.0008595853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129685169 to the power of 1\/3, to the nearest integer?\nAnswer: 1041","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 = -31*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.318531 or -6?\nAnswer: 0.318531","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -72 - -109. Is 20 a factor of s + 6*(-6)\/(-36) + -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4869*q + 9. Let r(w) = 1609*w + 3. Calculate 3*l(g) - 8*r(g).\nAnswer: 1735*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -695a - 8?\nAnswer: -6967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 3340*z**2 + 202595*z + 2921750.\nAnswer: -5*(z - 725)*(z + 26)*(z + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -87, -72?\n\"Answer: 15*c - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5433?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 20713427 to the power of 1\/3, to the nearest integer?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3699 and 0.1.\nAnswer: -369.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 11*v - 164 = 0, 3*v - 3344 + 3392 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1089*n*v*y + 947*n*v + 7*n*y - 1192*n + 1201*v*y + 2*v + 4 with respect to y.\nAnswer: 1089*n*v + 7*n + 1201*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11da66ad - -1?\nAnswer: -11da66ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9535682?\nAnswer: 2, 13, 19, 97, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -21218*q**4 + 170774*q**3 + 3778800*q**2 + 12087648*q = 0.\nAnswer: -564\/103, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -7*n + 339 + 23, -153 = -3*n - 2*v. What is the remainder when ((-64)\/(-10))\/((-2)\/(-65)) is divided by n?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40341540 a multiple of 460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -86, -76, -62, -44, -22?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -14*f - 39. Solve -6 + 14 = -2*i, f = 5*s + 3*i + 37 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -x - 4*x. Let q be 0\/((-3 + x)*-1). Let b = -3947\/10 - -395. Which is bigger: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {v: 3, h: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-64)\/(-96) - (-2)\/3. Which is the closest to -0.2? (a) -0.1 (b) -1 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 501878029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.8 less than -209487388?\nAnswer: -209487474.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3148 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 15432*y - 108020. Give v(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -200 + 58. Calculate the remainder when 193 is divided by w\/(-5) + (-4)\/10.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.15 + -0.35. Let g = w - 4. Let p = 10 - 9. Which is the second smallest value? (a) g (b) -1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*w + 6, -5*w = -0*w - 4*q + 11. Let x = -0.03 + -0.27. What is the nearest to w in 4, 0.2, x?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418 times 0.55\nAnswer: 229.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3)\/(x\/((x**(-1\/9)*x)\/x))*x**(-4\/5)\/x**(2\/21) assuming x is positive.\nAnswer: x**(-1577\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1352)\/(-39))\/(-2) + 17?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, e: 1, q: 2, f: 3, p: 5}. What is prob of picking 1 f, 1 e, and 1 x?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -7*r**2 - 1. Let j(q) = -9*q**2 + 31*q - 1. Determine j(k) - x(k).\nAnswer: -2*k**2 + 31*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**16*v))\/v**2)\/(v*v*v*v\/v**(2\/5)*v*v*v*v\/(v*(v**15*v)\/v)*v) assuming v is positive.\nAnswer: v**(-53\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**(-16))\/y)\/y*y)\/y)\/y**3 assuming y is positive.\nAnswer: y**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11 (b) 52 (c) 1\/3 (d) 1\/8 (e) -4 (f) -24\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - (-52)\/(-10)) + (-2419)\/5. What is s rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536989 to the power of 1\/2, to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(17)*1 - (1 + sqrt(34)\/sqrt(2) + sqrt(17)) - (sqrt(425) + -5 + (sqrt(34)\/(sqrt(6)\/sqrt(3)) - sqrt(17))))*6*-2*-3)**2.\nAnswer: -15552*sqrt(17) + 794448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) - (17\/(-5) + -1). Suppose -2*n - k*m + 3*m = 180, 0 = 5*n - m + 443. Let l = n + 214. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252830?\nAnswer: 2, 5, 131, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5 - 2 - 4 - (-44 + 1). Let p be 4405\/30 - (-7)\/m. Calculate the highest common divisor of p and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-171)\/532)\/(83\/(-5810))*(-1)\/(-3)*-4.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88811087 to the nearest integer?\nAnswer: 9424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 10902 + 11684 = 28*q for q.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 96\/5, 31, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 517\/374 + (-6)\/4. What is the nearest to -1\/4 in -3, k, -5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*c**2 + 337 - c**2 - 107*c + 218*c - 111*c as v + u*c**2 + b*c and give v.\nAnswer: 337","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -572*z + 6886. Calculate r(12).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1813121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 428 is divided by (-26)\/8 + 2147\/76.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*s - 2*c, -7 - 1 = -5*s + 3*c. Let h(t) = -6*t + 5. Let k(y) = -5*y + 4. Let g(v) = s*h(v) - 5*k(v). Let p(x) = -4*x. Give g(p(j)).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/5))**(1\/3)\/(k**(1\/2))**(-48))**45 assuming k is positive.\nAnswer: k**1074","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 2\/5403?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3))**(-1\/41) assuming g is positive.\nAnswer: g**(2\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and -9508.\nAnswer: 9508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.34 - 0.04. Let m = -137.56 - -145.56. Which is the second biggest value? (a) k (b) 4 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3042202, 6084398, 9126594, 12168790?\nAnswer: 15210986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n**3 + n. Let v be w(-1). Let a be 94\/21 + -7 + 3 + (-2)\/(-3). Factor 4\/7*i**v + 4\/7 - a*i.\nAnswer: 4*(i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = -0*d + 2, 5*d + 45 = -2*c - 3*c for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -5, 2*k - 2*r + 56 = 44 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 - 15*h**2 - 26*h.\nAnswer: -h*(h + 2)*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 46\/9? (a) 2\/17 (b) -0.2 (c) 2\/13 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2762218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 + 3)*(-3 - (-21)\/6). Let s be 2 - ((-2686)\/(-1659))\/((-2)\/(-3)). Put s, 5, o in increasing order.\nAnswer: s, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + 4*g + (-5 + 2 + 0)*(0*g - 3*g + 2*g) + 4 - 4 + g.\nAnswer: 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*f + 215 = 507 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38209 + -38197. Solve 3*b + 3*m = -9, 9*b - m + p = 7*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-l - 2*l + 5*l)*(2*l - 2*l - 2*l) - 2*l**2 - 4*l**2 + 5*l**2 + 69*l + 71*l + 218*l**2 - 140*l)*(-5 + 4 - 1) to z*l**2 + v*l + x and give z.\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-42)\/28)\/((-1)\/(-2)). Let i be (1 - (-6)\/(-2)) + 1. Let j(z) = -2*z**2 + 5*z + 2. Let h(r) = -r**2 + r. Let x(v) = i*j(v) + 3*h(v). Calculate x(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 2 - -3)*1. Suppose -6 = -u + 5*y + 8, 0 = -3*u - i*y + 8. Let p be 3\/((-36)\/20)*-9. Solve -o + u*o - p = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.289 + 0.311. Sort -3, -0.5, i.\nAnswer: -3, -0.5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18600 > 125\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 4529?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -5. Suppose h*s = 4*s - 26. Let r = s - 9. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of d**5\/180 + 13*d**4\/18 - 1037*d**2. Solve m(b) = 0.\nAnswer: -52, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 14 (b) -5 (c) -2 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k - 12. Let d(j) = -3*j - 6. Let a(q) = 5*d(q) - 3*s(q). Let r be a(-3). Is 7890\/9 + r\/(-9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 113107170*d. Let y(m) = -m**2. What is y(h(s))?\nAnswer: -12793231905408900*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/15)\/l**(-3))\/(l**7\/(l*l\/l**0*l))*((l*l**3)**(-26\/5))**(-1\/26) assuming l is positive.\nAnswer: l**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + -12. Let m be g\/3*-3 - 4. Let b be m\/(-21) - 6\/(-14). Solve 2*a - 7 = b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 7, 6, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170671951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -383*g - 81 = -370*g + 75 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 263655 and 62681535.\nAnswer: 9765","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/77382 and -85\/17196.\nAnswer: 154764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 1805304324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (16\/42)\/((-182)\/(-637))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -1481*f**7\/210 + 73*f**5\/4 + 427*f**2. Find the third derivative of s(n) wrt n.\nAnswer: -35544*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77332986331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-5) + 32\/5. Let m = -48.637 - -46.5013. Let i = 0.1357 + m. Which is the third biggest value? (a) i (b) -1 (c) l (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/42 + (-22)\/(-12) - 0. Let f(l) = -l**3 + l**2 + l + 5. Let h be f(0). Solve -a*w + 10 = w - h*z, z + 30 = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2889 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 9) to base 3.\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from ggggggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z**3. What is the tens digit of u(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -2 (c) -1\/4 (d) -0.56 (e) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2*x + 0*x - x)*(-2 + 3 + 1) + 8*x - 3*x + 0*x)*(-3 + 1 + 0)*(-120 + 77 + 83) to the form h*x + u and give h.\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000072480036 rounded to 6 decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 2.6. Let h be -2*(38\/(-4) + 60\/6). Which is the nearest to 0.4? (a) h (b) 2\/11 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-27)\/6 + 3). Suppose -4*c = -i*f + 96, -2*c = -4*f + c + 192. Suppose -o - f = -3*o. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16 - -4. Suppose 4*x + v = -x + 34, -3*x = -2*v - 36. What is the least common multiple of x and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47200954.13 rounded to the nearest 10000?\nAnswer: -47200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-87)\/12 + 2. Let i be ((-2)\/(-12))\/((-4)\/(-8)). What is the closest to -2\/5 in i, 2\/3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -26 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 - 1. Let z be l(-1). Suppose 3*f = -z*f. Are -3\/4 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 684, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5989 and 1378.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 48*f - 167*f + 20999 + 128941. Calculate the remainder when f is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40264973809 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18672 divided by 16?\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*o + 790 = -20*o - 15*o - 3914 for o.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1673 + 1668. Which is the second biggest value? (a) -4 (b) -42\/13 (c) n (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10474 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/42462 and 65\/33026?\nAnswer: 297234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -35, -48, -61?\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 25 = -3*x, -3*x + 22 = 4*t - 1. Let z(i) be the second derivative of 3*i + 0 + 0*i**4 - 1\/40*i**x + 0*i**2 + 1\/12*i**3. Let z(g) = 0. Calculate g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 11:57 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 10:11 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.082 times -34\nAnswer: -2.788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 13*r = -5 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -228 + 230. Find the first derivative of 116*s**3 - 41 - 5 + u*s**3 + 2 wrt s.\nAnswer: 354*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5048?\nAnswer: 2, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, y: 6, z: 7}. Give prob of sequence zyy.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 9*g**3 - 16*g**2 - 8*g + 12. Does 50 divide z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/583 and -35\/8954.\nAnswer: 474562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z + 45. Let r be j(9). Suppose r = -27*t + 21*t + 198. Calculate the remainder when 33 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2682 and 441.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 5*s**2 - 8*s - 8. Let h be y(-6). Suppose -3*v - 14 = 2*t - 33, 0 = h*v + 3*t - 27. What is the closest to 0 in -1, v, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b\/b**(1\/11))**7\/((b**1\/b)\/b**(-3\/5)*b**(-1)) assuming b is positive.\nAnswer: b**(2297\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - h**2 - 3*h. Let a be k(-3). Let x = -32 - a. Let i(o) = -o - 7. Give i(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(153)*6*5 - ((sqrt(51) - (sqrt(5100)*1 - sqrt(51)))\/(sqrt(192)*-1 - sqrt(3)))**2.\nAnswer: -1088\/81 + 450*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -125b (base 13) in base 7?\nAnswer: -10420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, -4, 5, 0.1 in ascending order.\nAnswer: -4, 0.1, 5, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 + 38. Suppose -2*h + o = 5. Let g(r) = -212501*r**2 + 4*r. Let v be g(h). 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: Let h(l) = l**3 - l - 5. Let x be h(0). Let c = 219949\/91 + -2417. Let a = -24\/91 - c. What is the nearest to 2\/5 in a, x, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 4*r - 11569 = 2*w, -w = -2*r - 3873. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -33.26 + 33. Let w = r - -0.26. Which is the second smallest value? (a) 5 (b) w (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2596\/7 + 76\/7*c**2 - 2522\/7*c + 2\/7*c**3 = 0.\nAnswer: -59, -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + 1 + sqrt(128) + sqrt(128) - (sqrt(8) + -5).\nAnswer: 6 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -546*o + 30040. Give x(55).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1225 - 1212. Solve c*g = 8*g - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4 = 2*d, i - d = -2*i + 2. Suppose i = 2*a - 60 - 84. Suppose 2*p + a = 5*p. What is the greatest common factor of p and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -3*d**2\/2 + 30*d + 33. Let a be b(0). Calculate the greatest common factor of a and 150.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*-1*12\/315*7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 23*d**2 + 14*d - 15. Suppose 13 = 5*v - 47. Let a be p(v). What is the units digit of (a\/(-4))\/(1205\/(-300) - -4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3104998 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a centimeter in micrometers?\nAnswer: 96000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1304 by 6.\nAnswer: -652\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 3*o + o. Suppose -o = -0*q - 2*q. Let j = q + 13. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -72.228 - -71.728. Let r = -4 + 1. What is the closest to z in r, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -96?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - (-3 - (13 + 10)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7597*d**2 + 3501*d**2 + 4105*d**2.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (84\/(-49) - -2) + (-78)\/(-21). Solve -b + w*k - 8 = -3*b, -3*k + 5 = b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 87 and 377?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*l**4 + 6*l**4 + l**5 + 51 - 51 - 12*l**5 + (0 + 0 + l**3)*(l - 2*l**2 - l).\nAnswer: -13*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) + -1 + sqrt(11))*-4)**2 + (sqrt(11) - (sqrt(176) - sqrt(11)))**2 + -5)*-4 + 0 + (sqrt(704) + 2 + sqrt(11))*-5 + -4.\nAnswer: -3050 + 211*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 1) + (4 - 736\/244). Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -4*q - 20 + 96, 2*q - v = 38. Suppose -q*d + 551 = -0*d. Suppose d + 107 = 17*l. Solve -2*n + 6*n = -l for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -163\/4060224 and -13\/5040.\nAnswer: 20301120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6715639054209 from -3.\nAnswer: -6715639054212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 790510 divided by -9?\nAnswer: -790510\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 357173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 6.3. Let g = 0 - r. What is the closest to -2\/5 in -4\/3, g, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3260 to the power of 1\/2, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvuhavph. Give prob of sequence phu.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/4905 and 9\/1675439.\nAnswer: 75394755","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/420780 and -79\/21.\nAnswer: 2945460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -8.6 and -817 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1739 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**3 - 13*y + 3. Let j(p) be the third derivative of 0 - 10*p**2 + 0*p + 0*p**3 + 1\/4*p**4. Determine r(j(n)).\nAnswer: 36*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/21 >= 1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*z, 18411*z = -5*d + 18408*z - 11 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39424 by 2464.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 165. Let u = a + 254. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -65*t**3 + 20*t**2.\nAnswer: -5*t**2*(13*t - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -6*z - 6 + z**2 + 5*z - 2*z - 5*z + z**2. Suppose -4*b = -b - 18. Is w(b) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**3 - 13*h**2 + 3*h + 30. Let r be x(6). Suppose r*w = 2 + 58. Solve -w*v + 2 = -5*j - 18, -5 = 5*j for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 33*j - 438. Let q be c(16). Solve 35 = -11*y + q for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + sqrt(1584)))**2.\nAnswer: -192*sqrt(11) + 6352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (d - 4*d + 17*d)*(2 + 0 - 1) + (33*d + 30*d - 56*d)*(2 + 1 - 2) as c*d + y and give c.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 183 is divided by 22?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15457 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzzzjjzjo. Give prob of sequence jzoz.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 18*t**3 - 4*t**2 - 2*t + 7. Let s(i) = 2*i**2. Let v(n) = -3*s(n) - z(n). What is the tens digit of v(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h + h + h)*(h - h + h)*(-3627*h**2 + 118*h**3 + 3627*h**2) + 18*h**2 + 10*h**5 - 18*h**2.\nAnswer: 128*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 2*t - 6. What is w(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + sqrt(2057) + (sqrt(2057) - sqrt(2057)*-2))*-6*3)**2 + -2.\nAnswer: 3079296*sqrt(17) + 383990542","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 28 = -o, 3*o - 2*t = 56 - 2. Suppose 5*n + 45 = 5*d, -d + 3*n = -0*n + 1. Let g = d - o. What is the closest to g in 0.3, -2\/5, 3\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(15\/(-9)) + (-4 - -3). Let j(x) = 2*x**2 + 16*x + 1. Let b be j(-7). Put -2, n, b in decreasing order.\nAnswer: n, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_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: Let a(k) = k**2 + 6*k + 5. Let w(h) = h**2 + 7*h + 6. Let u(o) = 5*a(o) - 4*w(o). Suppose 4*r = -3*s + 1, 2 + 2 = -s + 3*r. Calculate u(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -42 - 43?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 214318410 and 870.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g. Let l(r) be the second derivative of -5*r**3\/2 + 30*r + 1. Determine 50*f(p) + 6*l(p).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 741699259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-504*p + 2 - 502*p + 966*p)*(-2 - 2*p + 2) to the form f*p + c*p**2 + b and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r - 31 = -j, 4*r - 15 = 237*j - 113*j - 119*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122020 - -1010222200?\nAnswer: 1011121220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2\/7, 1543, 3 in decreasing order.\nAnswer: 1543, 4, 3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2019 + 2023. What is the nearest to 0.1 in 0, -2, n, -22?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 486786203?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r - 175 + 175.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11335316 a multiple of 241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - t - 2*m + 9, 5*t + 5*m - 30 = 0. Suppose t = -k + 2. Let o(q) = 20*q**2 - q. Is o(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3)\/m**(-16))\/(m**(-6)*m)**(-33\/4) assuming m is positive.\nAnswer: m**(-113\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (2 + (-9 + 1 - -3) - 9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/117 - ((-33)\/27 + 1). Let g be (6\/18)\/(2\/(-12)). What is the biggest value in -0.3, q, g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8251.492 micrograms?\nAnswer: 0.000008251492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4\/171 + -14\/57. Which is the fourth smallest value? (a) 2 (b) w (c) 0.4 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = q - 5*f + f, f = -q - 2. Suppose -12*z + 1264 = 4*z. Suppose 4*n - z = q. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13176, -26113, -39064, -52035, -65032, -78061, -91128?\nAnswer: -104239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 12 + 3 - 4 - (9 + 2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 966? (a) 1\/4 (b) 3 (c) -10899\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/3 + 14\/15. Let j = w + -11\/35. Let f = -233 - -2095\/9. Which is the biggest value? (a) 0.4 (b) j (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-844)\/16 - (-1)\/(-4). Let p = r + 155. What are the prime factors of p?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13213421 - 1?\nAnswer: -13213422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**5\/30 - t**3\/3 + 2*t**2. Is 15 a factor of f(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15104 less than -0.3589912?\nAnswer: -15104.3589912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do 9267763 and 9267759 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*b - 28 = -41*b. Suppose 0 = -3*v + 3*a - 5*a + 29, -63 = -5*v + 4*a. Calculate the remainder when 125\/(-4)*-1 + (-3)\/b is divided by v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -2227048?\nAnswer: 2227048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 37 and 115144.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1696794 divided by -1034\nAnswer: 1641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/4)\/(-1) - 6\/(-8). What is the third derivative of 7*o**3 + 18*o**2 + a*o**4 + o**4 - 45*o**2 - o**3 wrt o?\nAnswer: 24*o + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1842*n**3*s + 7*n*s - 22066*s wrt n?\nAnswer: -5526*n**2*s + 7*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251801.\nAnswer: 11, 2081","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1425 divided by 285\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 121995 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 123 and 9717?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/5 + 6\/15 + 0. Let i be ((-9)\/((-18)\/s))\/((-5)\/10). Let u = -5 + 9. Which is the second smallest value? (a) 1\/5 (b) 1 (c) u (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2385563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 2*s = -5, -3*c + 2*s - 1 = -4. Let n be -5 - (1 + (-5 - 3)). Suppose 0 = w + 2*w - 24. Sort w, n, c, -4 in increasing order.\nAnswer: -4, c, n, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l - 75*l**2 - 8 - 15 + 21 - 4*l.\nAnswer: -75*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 256 and 12?\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7130590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 126001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -13192, 66, 1 in increasing order.\nAnswer: -13192, 1, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 66901\/4 + -16725. Determine j so that w*j**2 + 0 - 1\/4*j = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yoooodooododoyddddm. Give prob of sequence ddm.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9317, -18744, -28283, -37934, -47697, -57572?\nAnswer: -67559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -3\/4*s**4 + 7*s + 2*s**2 + 0 + 3\/2*s**3 + 1\/20*s**5. What is the remainder when 35 is divided by b(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddd when three letters picked without replacement from ddddddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1074 = 630*j - 829 - 1471 - 1924 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 12*z + 94. Calculate the least common multiple of 102 and r(-7).\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 175.41 + -178. Let z = l - -30.99. Round z to zero decimal places.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 3)*(-2 + 4 - 5) + 1 + 2 - 5)*(-5*h + 6*h - 2*h)*(h**2 - 7*h**2 + 2*h**2).\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 4)*(2 + 9 - 13 + 31*y).\nAnswer: 155*y - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h + 2*x - 52, -3*h + 2*x = 2*h + 64. Let d = 24 + h. What is the units digit of -4*((-9)\/d + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(36) + sqrt(20))**2 + sqrt(1280) + -4 + sqrt(1280).\nAnswer: 41 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 219 = 6*y - 33. Suppose -c + 5*k = -61, -2*c + 4*k - 221 = -5*c. Let i = 134 - c. Calculate the greatest common factor of y and i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/3 + (-11)\/3. Let u = -2 - q. Solve 4*y + b - 11 = 0, 5*y - 4*b = -4 + u for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 983*i + 8863. Give l(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06417 take away -0.034866?\nAnswer: -0.029304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 8 = -3*v. Let o be (-2)\/((-2)\/2*v). What is the closest to o in -4, -1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 47 = -5*k - 3*w, 18 = 2*k + 2*w. Suppose 0 = -7*b + 4*b - 4*s, -4*b + 3*s = 0. Suppose k*j + j - 286 = b. List the prime factors of j.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -9. Let g = b + 10. What is the least common multiple of g and 22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 997 - 681. Let q = 4106\/13 - y. Let b = 88 + -617\/7. What is the second smallest value in -5, q, b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**2 + 2*b**4 - 2*b**3 + 5*b**2 + 2*b + 0*b**3 - 1 + b**2 - 2*b**2 as o*b + l*b**3 + v*b**4 + p*b**2 + y and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = 2*a + 2*l - 5*l, -3*l - 26 = -a. Suppose 561 = 8*n + a. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 891364 is divided by 81032?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 56 + -55. Suppose -2*a + 3*d + 11 = 2*a, -d - 1 = 0. Let b be w\/(-3)*(-2 + a). Solve 0 = -4*k + 3*m - 7*m + 8, b = 3*k + 5*m - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 32, 64, 102, 146, 196, 252, 314?\n\"Answer: 3*o**2 + 23*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/4 + ((-9)\/12)\/(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10287, -10284, -10281, -10278?\nAnswer: -10275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2792 = -3*m - b, -2*m - b + 1859 = 2*b. Suppose m = 3*k - 74. What are the prime factors of k?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11546846?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 5*u**2 - 297*u + 50. Let i be v(-15). Let s(h) = 2*h**2 + 3*h - h**2 - 9*h + h**2. Give s(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 13\/(676\/65) + -11?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1456? (a) 0.4 (b) 2 (c) 3\/47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 23241*h**2*p*v + 2*h**2*p + 126*h**2*v + 616*p*v - p + 1358*v with respect to h.\nAnswer: 46482*h*p*v + 4*h*p + 252*h*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 106818 (base 9) in base 7?\nAnswer: 354563","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 3. Suppose g + n*x + 17 = 0, -5*g = -4*x + x - 5. Let f(l) = -6*l**2 + 3*l - 1. Let j(m) = -m**2 + m. Let v(y) = -f(y) + 5*j(y). Calculate v(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b + 18. Let k(c) = -c**2 + 8*c - 8. Let d be k(6). Let f(y) = 3*y + 9. Let q(o) = d*h(o) - 7*f(o). List the prime factors of q(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 3. Suppose 0 = 2*c - 4*c. Suppose -2*s + s = c. Calculate y(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 764*f + 534*f - 333*f + 24940 = 123370 for f.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 100622184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 564*m + 568*m + 560*m - 2847*m + 546*m + 562*m.\nAnswer: -47*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 41 - -4) + 10 - -3 - 3?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2270, 2263, 2254, 2243, 2230?\nAnswer: 2215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/8 - 437*t**2\/8 - 2649*t\/8 - 3987\/8.\nAnswer: (t - 443)*(t + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3125\/((81\/255168)\/9). Round s to the nearest one million.\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 113.1056 millilitres to litres.\nAnswer: 0.1131056","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 r when three letters picked without replacement from {a: 1, o: 12, r: 2, f: 1, t: 2}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/4*20\/15 - -5609 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4071699 milligrams in kilograms?\nAnswer: 0.0000004071699","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 7*p**5\/60 - p**4\/12 + p**3\/6 - 89*p**2. Give n(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 0)\/((-6)\/(-30)). Suppose 0*b = 2*b - 34. Let l = c + b. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19081.05 and 65.\nAnswer: 19146.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 8 = -2*z - 3, s = z - 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a milligram in micrograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4763977.\nAnswer: 149, 31973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0019 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 1469, -0.07?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**5*x)\/(x\/(x*x**(-6))))\/(x**(-5))**(11\/6) assuming x is positive.\nAnswer: x**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/14*(4312\/(-7084))\/(24\/3)?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, q: 9, d: 1, w: 3, n: 2}. Give prob of picking 1 m and 2 n.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9*(-2)\/4*2. Let y be (-6)\/d*3\/(-2). Put -3, y, 5 in ascending order.\nAnswer: -3, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**5\/15 - 2*q**2. Let g(i) be the third derivative of -i**4\/12 - 19*i**2 + 2. Determine g(j(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 29 + 13. Suppose -1 = -2*w + k. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*h + 18*h - 28 + 16 to m*h + i and give i.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*a**4 - 29*a**3 - 127*a**2 - 131*a - 42.\nAnswer: (a - 6)*(a + 1)**2*(9*a + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*l**2 - 3 - 3 + 2 wrt l?\nAnswer: 14*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1499 + -1497. Sort -28, 1\/2, t in decreasing order.\nAnswer: t, 1\/2, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 41*l**8\/48 + l**7\/210 + 353*l**5\/60 - 3904*l**2. What is the third derivative of t(v) wrt v?\nAnswer: 17220*v**2 + 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212 = 7*c - 191 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*w**3 - w**3 + 3 + 9*w**3 + 3*w**3 with respect to w.\nAnswer: 27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 4\/(-6)*3. Suppose o = 7*l - 2*l - 25. Solve -14 = l*y - 34 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 13*q**8\/840 - q**5\/12 - 4*q**3 - 24*q. Let c(d) be the second derivative of m(d). Find the second derivative of c(b) wrt b.\nAnswer: 312*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15537 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-18)\/7)\/(1\/(-21)). Let c be 2*((-31)\/(-18) + (-12)\/l). Suppose 2*h = -2*q + 3396, c*q + q - 2*h - 6762 = 0. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -c**4 + c**2 + 4*c + 1111 + 299*c**3 - 295*c**3 - 1125 as b*c**4 + i*c**2 + o + j*c**3 + m*c and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -888 + 314. Let u = 574 + f. Factor u + 6\/5*d - 2\/5*d**2.\nAnswer: -2*d*(d - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 218*n**2 + 3495*n + 6. Calculate t(-233).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 - 9*g**3 + 3*g**3 + (165 - 165 + 17*g)*(-3*g**2 + 4*g - 4*g) to the form t*g**2 + m*g + n*g**3 + d and give n.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-5 + (sqrt(304))**2)*1 + 4 + (sqrt(76)*-1 - sqrt(19)) + (sqrt(76)*2 - sqrt(76))\/sqrt(4))*3.\nAnswer: -6*sqrt(19) + 908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 39. Find the common denominator of -67\/2 and 39\/q + 5 - 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -958.22 and 34216.\nAnswer: 33257.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33290 + -18513. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a microgram in nanograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7 + (-1326)\/(0 + -6). Suppose -1277 = -5*w + 5*v + k, 3*v - 933 = -3*w. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*i = -39*i + 3438 + 3320. Calculate the remainder when 800 is divided by i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 8*g - 5*g. Suppose 66 = g*w - 654. What is the highest common factor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**3 - 3*w**3 - 71 + 7*w**3 - 2*w**3.\nAnswer: 8*w**3 - 71","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 25*o - 17*o = 0. Solve -2*p + 12 - 16 = o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93755, 93774, 93805, 93854, 93927, 94030, 94169, 94350?\n\"Answer: f**3 + 12*f + 93742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - -30.1. Let u = 1.9 + o. Which is the second smallest value? (a) 4\/3 (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -324 - -460. What is the highest common factor of 34 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z + 3. Let a be q(0). Suppose a*g = -3*i + 3 + 6, 0 = -g + 3. Suppose 4*l = 4*p - l - 329, i = 5*l + 25. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2708 times 2\nAnswer: -5416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 3. Let o be h(2). Let a = o + -4. Is 12 a factor of 9*(-2)\/a*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1585234.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*c = -34665 + 132309. What is c rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 677593006?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-12937086.\nAnswer: 2587417.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85695464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 = -3*v - 5*z, 5*v - 7899*z + 7896*z = -54 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 + (-2)\/(-2). Suppose 5*n - 3*i - 830 - 103 = s, -937 = -5*n + 2*i. Suppose 3*l + 197 = u, 0*u + u = -l + n. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1.6 or -72\/13?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**5\/30 + 5*w**4\/8 - w**3 + 1214*w**2. Let y(c) = 2*c**2 - 14*c + 5. What is -3*n(r) - 4*y(r)?\nAnswer: -2*r**2 + 11*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1035416 and 2784.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 1103652720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*d = 13*d - 1349. Solve 24 = -5*k + d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*f = 7 + 3, -10 = 2*f. Suppose 5*d + 15 = l, 0*a - 2*d = 3*a - 21. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2741*b - 9*b**5 + 16*b**2 + 8*b**4 - 16 + 37*b**4 - 2709*b - 68*b**3 = 0. What is b?\nAnswer: -2\/3, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h**3 + 3*h**2 - h - 1. Let f be o(1). Let k(a) = -5*a - 9. What is k(f)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**3 + 216*o**2 - 3*o**3 + 223*o**2 + 220*o**2 - 659*o**2.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 973 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 86.65923 months?\nAnswer: 0.72216025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 0*r - 5*v, 2*v = 3*r + 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(648) + sqrt(648) + sqrt(648)*4))**2 - ((sqrt(13) - (sqrt(13) - sqrt(13)*1)**2) + 3 - 1*sqrt(117)).\nAnswer: -8735\/2916 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6906 and 0.11527.\nAnswer: 796.05462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.826 to two decimal places.\nAnswer: -2.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 7*u + 10*u - 46, -2*r = -3*u - 47. What is the nearest to 0 in r, -4, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/9 (b) -4\/3 (c) -2 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.342 and -3?\nAnswer: 1.026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -179 and -0.2?\nAnswer: 35.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 135 - 129.95. Let x = -8.05 + b. Sort 8\/9, -0.1, -3\/7, x in decreasing order.\nAnswer: 8\/9, -0.1, -3\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1922743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3298 is divided by 78?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*x + x**3 + 12*x + 5 + x**3 in the form i*x**3 + v*x + f*x**2 + b and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/41? (a) -2 (b) -18 (c) -1\/4 (d) -3 (e) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/((36\/(-42))\/(6\/28))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -74.89 * 0.5614\nAnswer: -42.043246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -431*x**5 + 2*x**4 - 2*x**3 - 274*x - 8.\nAnswer: -8620*x**3 + 24*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 409899323 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 27*q**2 + 58*q + 62. Let b be c(29). Solve -b - 13 = -25*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 6) to base 8.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*s + 15, -5*s + 5*f - f = 42. Let l be 10\/2 + (-4)\/(-4). What is the nearest to s in -0.5, l, -2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2. Let a(b) be the first derivative of 7*b**3\/6 + b - 2. Let r(o) be the first derivative of a(o). What is r(w(c))?\nAnswer: -14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3505 - -3538. Calculate the greatest common factor of 3102 and f.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4049 + 12*w - 9*w - 4049.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -84 + 10. Suppose 0 = -2*x + 26 + l. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3061260 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -12) + -5 + (-4 - -27)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2495*d + 217052. What is p(87)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes before 12:38 PM?\nAnswer: 11:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 28169.05 millennia in centuries?\nAnswer: 281690.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12391 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 3*n**2 - 2*n + 2. Let y(t) = t**2 + t - 1. Let l = -84 + 86. What is l*y(u) + b(u)?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -7*l. Suppose -9415 + 9463 = 8*c. Let b(i) = i - 5. Let p be b(7). Let n(h) = -c*h + 8*h - 2*h - p*h. Calculate n(f(y)).\nAnswer: 14*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iimiiiiiiimii. Give prob of picking 2 m.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 997094\nAnswer: -498547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 108, 378, 784, 1326, 2004, 2818, 3768?\n\"Answer: 68*r**2 + 66*r - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1 (b) -6.6 (c) -12 (d) 3\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39 + -15 + -9 + 25 + -14?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -2511?\nAnswer: -2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 24*w**3 - 3*w**2. Let s be f(2). Let v = s - 78. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*l = -755*l - 460*l + 35568 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + w + 156, -5*c - 1321*w - 170 = -1326*w for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -286368, -572812, -859256?\n\"Answer: -286444*x + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**1\/(v\/(v\/(v**8\/v)))*(v*(v*v**(1\/6))\/v*v)\/v*v\/v**(-7)*(v**(1\/8)\/v**(-3\/5))**(1\/11) assuming v is positive.\nAnswer: v**(4267\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 380351.43030206 - 380426.4303. Let m = 75 + r. What is m rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/8658 and 25\/936?\nAnswer: 34632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 295 and 15095.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14266 and 6114.\nAnswer: 42798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 7412 = s - 7422, -3*s + 22 = 4*z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/28 - (-220)\/14. Suppose 0 + g = 2*i. Suppose -38 = 4*v - 38, -2*s = -v - 4. Solve 3*u = k + 14, -i + 2 = -s*u - k for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70 and 507.\nAnswer: -35490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.8327 and -2567.\nAnswer: -2567.8327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 66 = 3*m, -m + 15 + 2 = -4*c. Let k(b) = -b**2 + b + 13. Let g be k(0). Let o = -7 + g. Calculate the remainder when m is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.6681 + 6.99277. Let l = n + -0.331. What is l rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5547.2565 rounded to the nearest integer?\nAnswer: -5547","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 + 10*w + 8. Let o(t) = -t. Let c(i) = -6*o(i) - p(i). Let g(j) = j**2 + j + 2. Calculate -2*c(k) - 9*g(k).\nAnswer: k**2 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -39 - -17. Let f be 15 + -1 - (y + 24). Calculate the greatest common factor of f and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 2*a - 14. Let x be o(-5). Let b be -4 - (-30)\/(x - -4). Let r = 3.5 - 3.4. What is the closest to r in -7, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1183*i**3*q**2*u**2 - 2*i**3*q*u**2 + i**3*q*u + 29*i**3*q + 2*i**2*q*u**2 - 2*i*q**2*u**2 wrt q?\nAnswer: -2366*i**3*u**2 - 4*i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3414263 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i - 3209 = -3209 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -239528 rounded to the nearest 1000?\nAnswer: -240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4\/19, 4\/3, 0.3 in descending order.\nAnswer: 4\/3, 0.3, 4\/19, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2012322 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/19, 7\/136, -3\/5, 1 in decreasing order.\nAnswer: 1, 7\/136, -3\/19, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (16 + 16 - 3)*(15 - 30 + 11 - 3*y**3) + (0 - 2*y**2 + 0)*(-1 + 1 - 2*y) as t*y + o*y**2 + k + h*y**3 and give k.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - i + 1 = 0, -3*i - 1807 = -5*w. What is the common denominator of -59\/9 and w\/60 + (1 - 5)\/4?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 207889 from 554.\nAnswer: -207335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29 - 35*w**3 + 15 + 12.\nAnswer: -35*w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 6*x**2 - 9*x + 7. Let d(z) = -z**3 + z**2. Let w(p) = -2*d(p) + o(p). List the prime factors of w(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in centimeters?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*j = -18*j. Suppose j = 2*x - 2 - 12. Let u(y) = y - x - y + y + 2. Calculate u(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 259545, 519059, 778573, 1038087, 1297601, 1557115?\nAnswer: 1816629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 9*g**2 + g - 16. Let s(d) = 2*d**2 + 21*d - 19. Let c be s(-11). What is the remainder when t(c) is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 18\/4*(-2080)\/(-32760). Determine r, given that -2\/7*r**3 + p*r + 6\/7 - 6\/7*r**2 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/5)\/(23\/((-22540)\/(-15582))).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 - k**2 - 2*k. Let a be u(2). Let d(l) = -l - 1. Let w be d(a). Let s be w*(-3 - (1 + -4)). Are 2\/3 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 - -90) + -3 + -2.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -813 + 807, -2*o = 6*d - 6 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + v + 2 + 10 = 15, 170 = -199*v - 329 + 101 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/8*20\/(-5). Let u = w + -2. Suppose 4*b + 5*r = u, -3*b - r = -0*b - 16. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzznngngnnnggnnnnnnn. What is prob of sequence zz?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 210 divided by -95292.\nAnswer: -35\/15882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y + 157. What is j(20)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33.982 + 0.018. Let k = -1980 - -1948. Let i = k + y. What is the biggest value in i, -2, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 265.9 - 307. Let i = -41 - x. Let m be (-1 + (-1 - 2))*-1. Which is the closest to i? (a) 0.1 (b) m (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319608 is divided by 553?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/(-207)*18\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 - -1*(-2040)\/(-60)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, l: 6, d: 1, o: 1, p: 3, f: 1}. Give prob of picking 1 p and 1 f.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**4 + y**4 + 4*y**4)*(0 + 1 + 1) - 4*y**4 - y**4 + 4*y**4 + (5*y + 13*y - y)*(-4*y + 2*y + y)*(3*y**2 + y**2 - 6*y**2).\nAnswer: 37*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 34304 a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 12*c**2 - c + 14. Let t be w(-9). Suppose k - 2*x = 6*k - t, 2*k - 407 = x. Suppose 5*i - 134 - 177 = y, 3*y - k = -3*i. Does 21 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 127*s - 17782. Calculate j(140).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 48*o**2 + 6*o + 396. Determine a(-48).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 0.2, 577, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*j**3 - 4*j**3 - 98*j**3.\nAnswer: -110*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 15) in base 6?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5345*i - 170886 = -10536 for i.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 30, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: a9450 (base 13) to base 4\nAnswer: 1022233030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -12, -39, -100, -207, -372, -607?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -3*s**3 - s**2 + s - 4. Let a(j) = j + 10. Let y be a(-8). Let l be f(y). Let x = -23 - l. What is the remainder when 20 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38643, 39586, 41165, 43386, 46255, 49778?\nAnswer: 53961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12*c + 9. Suppose 75639*d + 144 = 75621*d. Let q(a) = 8*a - 6. Give d*q(b) - 5*i(b).\nAnswer: -4*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547816.\nAnswer: 2, 68477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3 - d**2 + 196*d + 5*d**2 - 195*d + 2 - 3*d**2. Let x(a) = 4*a**2 + 2*a + 2. Calculate -2*t(p) + x(p).\nAnswer: 2*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-49)\/(-8) - 8\/64. Let w(o) = o**3 - 6*o**2 + o - 4. What is w(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**3 + 385907802 - 385907802.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/44595866 and -163\/252.\nAnswer: 802725588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (2*sqrt(3) + -4)) + (sqrt(3) - -1*sqrt(3)*-5)**2 - sqrt(108)\/(sqrt(4) + sqrt(16) - sqrt(4)).\nAnswer: -5*sqrt(3)\/2 + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 575085778?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/1376 and ((-1430)\/91)\/((-10)\/(-14) - 3)?\nAnswer: 1376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2190*h - 290 = 2188*h - 4368*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zixixxziiiixi.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3352702 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25.465 or 0?\nAnswer: -25.465","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 at least as big as 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a3 - -110a55?\nAnswer: 111248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62 is divided by 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 357103301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1415867 is divided by 409.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 6, n: 7}. What is prob of picking 2 x?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 90 + -164. Let f = -148 - q. Is f\/4*(-3 + 1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265531829 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 3*f = 119, -f + 162 = -3*k - 0*f. Let p = k - -90. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -36*c**4 + 12228*c**3 + 142712*c**2 + 173936*c + 56160 = 0.\nAnswer: -10, -2\/3, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 26.2 (b) 10.26 (c) -1 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -65*t - 2825. What is o(-42)?\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64997, -64736, -64475, -64214, -63953?\nAnswer: -63692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*x + 16*x**3 - 3*x + 5*x**3.\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -589049, -1178125, -1767201, -2356277, -2945353?\n\"Answer: -589076*x + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 327777.2 rounded to the nearest 1000?\nAnswer: 328000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -608 and 0.0488.\nAnswer: -29.6704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus -504486?\nAnswer: 504488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (152\/266)\/((-15)\/(-21))*10\/(-6)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 69*b**2 - 7*b + 3. Let w(t) = t**2 - 4*t + 1. Determine h(i) - 2*w(i).\nAnswer: 67*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-14 - 18) + 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(9)\/(sqrt(3)*-2) + -5.\nAnswer: -5 - 5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39 + 71?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -20497083*w - 29006480?\nAnswer: -20497083","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78*4\/120)\/(51\/255).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1345 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 42 = 3*r. Let i be ((-2)\/(-5))\/(r\/(-90)*-18). Let q = -322 - -324.9. Is i > q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-6) + 39184\/(-495). Let c = -21\/55 - v. Let p = c - 79. Sort 3, -2\/13, p in ascending order.\nAnswer: -2\/13, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 26 = -2*x - 5*n, -2*x + n = -38. Let s = -507 + 530. What is the second derivative of d + x*d**3 - s*d**3 - 4*d wrt d?\nAnswer: -30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 997 - 996.9999111. Round a to 5 decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 5*h - 6. Suppose 60 = 8*r - 44. Let a(p) = 11*p - 13. Give r*z(j) - 6*a(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ae197 - -49?\nAnswer: -ae14e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8 - 130\/104. Put q, 5, 22 in descending order.\nAnswer: 22, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -166d (base 15) in base 16?\nAnswer: -12dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2470 + 13052. What is the ten thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2ca344 - 0?\nAnswer: 2ca344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 6303 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 26 = -14*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 35 = 6*k. Suppose -5*t + 12*t = k. Solve 0*c - 4*m = 4*c + 8, -2*c = t*m + 16 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -38\/165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2 - t**3 + 11*t**2 + 3 - 16*t**2 - 2*t. What is the units digit of i(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, z: 5}. Give prob of sequence xz.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -15*h**2. Let j(t) = 23*t + 1. Calculate j(f(a)).\nAnswer: -345*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 682181.2 kilometers to meters.\nAnswer: 682181200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8080 and 29409180.\nAnswer: 2020","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1778.1234895 to 1 dp.\nAnswer: 1778.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(150)\/(sqrt(24)\/sqrt(4)))\/(sqrt(160)\/sqrt(2)).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 3 = 5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v**2 + 14*v**3 - 101*v**3 - 30*v**2 + 13*v**2.\nAnswer: -87*v**3 + 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yzmyymymymz. What is prob of sequence mm?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 4809864.\nAnswer: 33669048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 264 = -24*h + 4*p, 3*h - 174 = 5*p. Suppose n = 76 - 7. Let s = n - h. Solve -4*z = -s*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + 9*n**2 - 4*n - 8. Let w be g(8). Let a be (w\/(-198))\/(4\/(-6)). What is the closest to 0 in -2, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 363747 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -1203.7?\nAnswer: -601.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from ebvobbeuubbuavvuevau.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 592560 to the power of 1\/3, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 269582 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001798006 rounded to 5 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 48*f**2 + 463*f + 1014. Calculate r(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -1. Let o(w) = -3*w**3 - w**2 + 4*w + 3. Let r be o(-2). Suppose -j - x + 3*x = -r, -j = h*x + 10. Solve -j = 6*k - k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70784 divided by 8\nAnswer: 8848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((42\/14)\/(-3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -1 + 0 + 19.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(6*(sqrt(128) + 2) + -5)*4 + 0 + -2 + -3.\nAnswer: 79 + 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1451 is divided by 104.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**2 + 4*b + 1. Let o(v) = -v. Suppose -a + 26 = 27. Give a*l(p) - 2*o(p).\nAnswer: 2*p**2 - 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000501281715 rounded to seven dps?\nAnswer: -0.0005013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 + 123907*j - 37635630.\nAnswer: (j - 303)*(j + 124210)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = u + 13. Let k be u\/12*(-4)\/6. Let x = 2 + -2.5. What is the nearest to -1 in x, k, -0.4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -379, -1287, -3057, -5977, -10335, -16419, -24517?\nAnswer: -34917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45.921 - -46. Let l = f + -0.1245. Round l to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1858460 less than -41901?\nAnswer: 1816559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 7\/(7\/15). Let g = d - 12. Let p = 3 - 3.4. Which is bigger: g or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2 + 3 - 2*i**2 to the form o + r*i**2 + g*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -141 - -146. Put x, -2, 0, 12 in decreasing order.\nAnswer: 12, x, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -7. Let y = p - 6. Suppose 2*t = 5*a - 25, 9*t - a = 11*t - 5. Solve -4*g + 4*h - 12 = t, y = -2*g + 3*h - 4*h - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1110659916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.7871145 millennia?\nAnswer: 9445.374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2791317396?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4023.85 kilometers to meters.\nAnswer: 4023850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 243023.1 litres?\nAnswer: 243023100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*p + 2327 = -112 - 393. Solve -2*g = 4*o + 14, p*o - 43*o = -2*g - 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of q**5\/60 + 5*q**4\/24 + q**3\/3 - 2*q**2. Let c be z(-5). Let y = 4 - c. What is the smallest value in 1\/2, 5, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51841?\nAnswer: 47, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 16 - 2)*((0 + 2 + 0)*(-2*x + 0*x + 0*x) - x + 3*x + 0*x) - 2*x + 1 - 1.\nAnswer: -40*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a + 1359 - 64 = -140*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 17.06453 * -11.3\nAnswer: -192.829189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, -86.8, -5, 0.21, 1.38 in descending order.\nAnswer: 1.38, 1\/3, 0.21, -5, -86.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1704 and 12?\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-2))\/(((24\/(-20))\/(-2))\/1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*v**3 - 10*v**3 + 3*v**3 + 2*v**2 - 953 + 951 + 16*v in the form b + s*v + z*v**3 + l*v**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9500\/(-2*2\/32). What is f rounded to the nearest ten thousand?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1\/15 - 11\/60. Let h = -1.123 + 1.06. Let z = -0.063 - h. What is the closest to c in z, -0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 - s. Let q be n(3). Let a be q\/(-8) + (-97)\/4. Let p = 80 + a. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - 12*p - 10. What is d(9)?\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 744640790?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ygudxyxufuuuufy. Give prob of picking 1 x, 1 u, and 2 y.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 515 - 141 = 3*m, -4*m = 3*r - 497. Calculate the greatest common divisor of m and 464.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08727686 to five decimal places.\nAnswer: -0.08728","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*a + 7. Let x = a + -6. Suppose u = -c - x*u + 9, -5*u + 10 = 0. Solve c*j = f - 2, -4*f - 4 = -j - 12 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = 5*d - 477. Let q be 6*(0 - 32) - 0. Let o be (-4)\/(-14) + q\/(-14). What is the greatest common factor of d and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**3 + 3*q**2 + 3*q - 4. Let x(k) = 6*k**3 + 4*k**2 + 5*k - 6. Suppose -16*t - 119 + 39 = 0. What is t*x(c) + 7*u(c)?\nAnswer: -2*c**3 + c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 16*f - 13*f. Calculate the remainder when f is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - (-1 - 2)) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-30)\/5)\/(-12) + (-1715)\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -40124223?\nAnswer: -40124232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 + 2.4. Suppose -k + u = 27, -3*k = k - 2*u + 108. Let r be 4\/18 + (-3)\/k. Sort r, q, 0 in ascending order.\nAnswer: 0, r, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 3*i - 40. Suppose 5*m = 5*y, -i*y + 40 = -y + 4*m. Solve y*j - 25 = -0*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/(-5))\/(1 + 1148\/(-1160)) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 337 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5225.9 rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f**2 + 83*f + 4. Let c(x) = -70*x**2 + 416*x + 22. Calculate -2*c(s) + 11*y(s).\nAnswer: -14*s**2 + 81*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 8*j + 38. Let f be r(-15). Let u = -78 - f. Suppose u*q + 4*z - 40 = 0, -5*q + 2*z = 6*z - 52. What is the greatest common factor of 6 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -2, -21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*3\/(-6) - (2 - 3). Suppose p - 5*p - 112 = -w*l, l - 5*p - 41 = 0. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of 25*r**3\/6 - 5*r**2\/2 + r. Is o(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6*y = 408. Let l = y - 32. Calculate the highest common divisor of l and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n - 4. Let q be d(12). Suppose -4*x + q = -2*x. Let b be -1 - x\/3 - -1. Which is bigger: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 5:16 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the first derivative of -8455*g**4\/4 - g**3\/3 - 8135*g**2\/2 - 6820. What is the second derivative of j(s) wrt s?\nAnswer: -50730*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 3*i + 14*i = 0. What are the prime factors of 669\/4*(4 - i)?\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243135 is divided by 6274.\nAnswer: 4723","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x**2 + 0*x**2 - 3*x**4 + 0*x - x**3 + 0*x**4 + 2*x to a*x**2 + g*x**4 + v + h*x**3 + k*x and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 22. Suppose q*y + 3*f = 5*y + 38, 0 = -y - f + 6. What is the lowest common multiple of y and 66?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -2 - (-17 - -13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**2*h**2 - 9*d**2*h - 11*d**2 - 2*d*h**2 wrt h.\nAnswer: 6*d**2*h - 9*d**2 - 4*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152768 and 9856.\nAnswer: 305536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 - (-19 - 18 - 14 - 3).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 - 6*i + 610. Calculate r(17).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -16*a - 1. List the prime factors of h(-2).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes before 1:33 PM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -674 divided by 674.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -932481.01072 - -932363. Let n = 118 + s. Round n to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 7*i**2 - 3*i - 2. Calculate the remainder when 20 is divided by m(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/30 and 49\/450?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*d**3 - 9*d + d + 16*d**4 - 20*d**4 + 18*d**3 wrt d?\nAnswer: -48*d**2 + 132*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/8 of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -39*w**2 + 11*w + 3. Let z(b) = -10*b**2 + 0*b + 1 + 2*b + b. Let y(c) = -6*o(c) + 22*z(c). Find the first derivative of y(r) wrt r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.88 + -0.12. Let p = g - -5. Let y = -49\/20 + 31\/12. Which is the third biggest value? (a) -3\/7 (b) y (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 79, 1, 16, -5 in descending order.\nAnswer: 79, 16, 2, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*o - 15*o**2 + 166*o + 17*o**4 wrt o.\nAnswer: 408*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014484112 to 4 decimal places.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/39)\/(q\/(q\/q**7)))**15 assuming q is positive.\nAnswer: q**(-1360\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 39*q**6\/2 - q**2 + 42*q + 96. Find the second derivative of b(x) wrt x.\nAnswer: 2340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f + 49. Let u be c(-20). Suppose -5*n - 8 = -u*n. Factor 4\/5 + 18\/5*s**n + 22\/5*s.\nAnswer: 2*(s + 1)*(9*s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 7\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 15\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64133 + -62963.925. Let h = 1157 - p. Let u = 0.075 + h. Is -1\/5 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.5215331579 rounded to five dps?\nAnswer: -3.52153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:32 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*m + 36, -3*p - 52 + 2 = 5*m. Let f = p - -23. Let w = 31 - f. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 1\/2*w**2 + 9*w - 4. What is the units digit of h(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45568221?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o - 8. Calculate b(-7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 6, d: 3, f: 2, w: 2}. What is prob of sequence dd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (630 - 1266 + 702)*(2 + 2 - 1)*(-2*h + 3 - 3).\nAnswer: -396*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32.4 + 33.99. Let m = t + -3.59. Let q = 0.05 - 0.45. Which is the closest to -1? (a) q (b) m (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -77*h**2\/2 - 2563. Let a(c) = -15*c**2. Give l(a(s)).\nAnswer: 1155*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 1:37 AM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 10. Let m be y(-8). Let w = -98 + 162. Let r = 68 - w. Solve -f = -r, o + m*o = -f + 4 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 470 + -416. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(726)*1 + -1*sqrt(726)*2 + sqrt(726))\/(sqrt(75)*-6 - sqrt(108)).\nAnswer: 11*sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 17. Suppose 2*p - 2 + y = f, -15 = 3*f. Which is the closest to 0? (a) -0.3 (b) p (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**5\/2 + 724*n**4 - 27795*n**3\/2 + 57155*n**2 - 85058*n + 41076 = 0. What is n?\nAnswer: -1467, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 12*q - 2. Let d be (124\/8)\/((2*-1)\/(-4)). Suppose -d = a - 21. What is h(a)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 + -14. Suppose 0 = 4*n - n. Suppose -h = 3*u - n*h - 28, h = u - 4. Calculate the remainder when k is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jeeejjweejjejejeeee. Give prob of sequence jjw.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m + 2. Let l(h) be the second derivative of -h**3 - 2*h**2 + 17*h. Let f = 54 + -49. What is f*a(s) + 2*l(s)?\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 2*z - 4. Suppose -l + 12 = 3*f, f - 5*f = -4*l. Let w be i(l). Which is greater: -145 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of 2*b**3\/3 + 12*b**2 + 2*b + 17. Let p be j(-4). Solve -p*n = -7*n + 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - h + 308 = -2*q, q = -h - 58. Let b = -27 + q. Let d = b + 142. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-18)*(-3)\/10)\/(12\/30)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.098 + 0.288. Round o to 1 decimal place.\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vmvzzzvzz. Give prob of picking 2 z and 2 v.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1120 = 19*x + 16*x. What is the highest common factor of x and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b - 7305 + 2157 = 0. What are the prime factors of b?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 17*u. Let n(h) = 27673*h**2. What is n(o(i))?\nAnswer: 7997497*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 69 = 24*v + 5*h, 0 = -4*v - 4*h - 64 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/563 - -589\/7319. Is r smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001049643 rounded to 7 decimal places?\nAnswer: 0.000105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1132?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of d**5\/20 + 7*d**4\/6 - 8*d**3\/3 - 7*d**2 - 7*d. Let m be u(-15). Is -2 + (112 - 2) + m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*w - 3*w - 40. Suppose 0*o + 9 = 2*o + 5*x, -2*o - 2*x = 0. Put o, w, -2 in descending order.\nAnswer: w, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37418 and -11.\nAnswer: 411598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13899619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(99) + -2 - ((1*sqrt(99) - sqrt(99)) + -4)**2).\nAnswer: 18 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 87, 166, 221, 240, 211, 122, -39, -284?\n\"Answer: -2*n**3 + 93*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2132 and 9003969?\nAnswer: 533","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8*i - 4*i = 24, -4*j + 96 = i. Suppose 3 = -r, 0 = -z + 2*r - 6 + j. Solve 4*s + z = 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60816228973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - c - 3886 = 0, 2*d + 25*c - 21*c - 2572 = 0. What are the prime factors of d?\nAnswer: 2, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 11 = d, 11*x - 6*x - 15 = -d for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4 = 4*d, 0*f + 1 = -d - f. Which is the nearest to -1\/4? (a) d (b) -1\/2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58710 rounded to the nearest one thousand?\nAnswer: 59000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -233 < 621?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -18*q**2. Let b(k) = -7*k - 5. Let j(s) = 8*s + 6. Let t(f) = 6*b(f) + 5*j(f). What is t(x(u))?\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 974 is divided by 70.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 21*o - 28*o = 98, 4*n + 72 = -4*o for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45*q**2 - 9 + 4 - 35*q**2)*(-1 - 2*q + 0*q + q) to z*q**2 + k*q + g*q**3 + m and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/9 (b) -2\/41 (c) 0.1 (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -19 + 8*d**2 - d**2 + 19. Let r(m) = -2*m + 42. Determine r(s(h)).\nAnswer: -14*h**2 + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 0.047. Let g = 0.393 + i. Let h = g + -0.389907. Round h to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183409*0.3013.\nAnswer: -55261.1317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 25\/(-60)*42\/(-20). Which is the closest to 1? (a) -6\/7 (b) 3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 114 and 25092996.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -145 + 296. Let n = -108 + o. List the prime factors of n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 423 - 37 + 30 = 0 for b.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (0 - 3)) + (0 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000110100000011 (base 2) in base 14?\nAnswer: -d227","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -413 + 434. Let g = 18 - 15. Solve h - g*h - 4*b = 22, z = -h - 4*b for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 3*k + 9. Let n(y) = y**3 - 3*y**2 - 4*y - 10. Determine -3*d(o) - 2*n(o).\nAnswer: -2*o**3 - o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -739, -6379, -21689, -51505, -100663, -173999, -276349, -412549?\n\"Answer: -806*u**3 + u**2 - u + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 19 = 4*a + 2*c, 2*a = -4*c + 4. Suppose 25 = a*w + 5. What is the least common multiple of w and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-3) + (-40)\/12. Suppose 3*j = 5*s + 10, -9*j = -7*j - 4*s - 10. Let v = m - j. Solve v*l - 22 = -5*u + 7, -4*u = -l - 18 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 4*l**3 + 4*l**2 - 2*l - 1. Let n be i(1). Suppose -139 = -q - 5*f, 0 = n*q + f + 85 - 708. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 15 = 5*i + 3*l, 3*i + 5*l - 25 = 0. Find a such that i + 2\/3*a**2 - 4\/3*a = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 7:29 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a*a\/((a\/a**0)\/a*a))\/a)**(-8\/17)*(a*a**(2\/5)\/a)\/a**(-2\/7)*(a\/(a*a\/((a*a**1)\/a))*a*a**(-3\/2))**46 assuming a is positive.\nAnswer: a**(-13557\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1620 is divided by 22.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**3 + 8*v**4 + 0 + 0 - v**2 - 33*v**4 + 3 - 2*v + 15*v**4 as t*v**4 + f*v**3 + c + h*v + p*v**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8c07 (base 15) in base 8?\nAnswer: -72013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3 - 5*b**2 + 0*b**2 - 4 + 4*b**2 + b. Let k be l(0). Is (86 - 1)\/(k - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -235451080 less than -0.1?\nAnswer: 235451079.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-11 - (-103)\/10)*(-2)\/7. What is the biggest value in -2, 0.05, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or 1\/212889?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*t + 2017*t + 67*t.\nAnswer: 1691*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 57*b**2 + 1498*b + 39. Determine q(-26).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16.7 - -80.3. Let f = -1209 - -1307. Let t = f - b. What is the third smallest value in -0.1, -0.05, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*l**4 + 2*l**3 - 50*l**4 + 5*l**4 + 1 + 0*l**3 + 0 - 2*l**2 to the form g*l**2 + a*l**3 + f + k*l**4 + p*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 4*p - 2*p + 1 + 7*p - 4*p**2. What is the remainder when 60 is divided by h(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 88888 - 16621999\/187. What is the common denominator of -31\/119 and a?\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -40.5 + 40. Let q = -3 - -3. Which is the third biggest value? (a) m (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61271, -61294, -61309, -61310, -61291?\nAnswer: -61246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 13 - 1 - (53 + -40)) + -44 + 13.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 49833329 to the power of 1\/3, to the nearest integer?\nAnswer: 368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*w - 3*w - w**2 + 59*w + 8*w.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 + 11*n - 11. Let t(z) = z**2 - 15*z + 52. Let h be t(9). Let w(u) = 6*u - 3*u - 4*u + 1. What is h*g(l) - 22*w(l)?\nAnswer: -4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012110 - -200121220?\nAnswer: 122102110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 1071, 2856, 6279, 11886, 20223, 31836, 47271?\nAnswer: 67074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 155?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -104, -99, -84, -53, 0, 81?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 466.\nAnswer: 2796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*q - 4. Let b be (5\/2)\/((-2)\/q). Suppose -3*v = -b*v + 4. Solve -2*j - 13 = v*r - 3, -r = 2*j + 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:59 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -67 + 104 + (-7 - 1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 10 = -2*s, -43188 = 5*y - 3*s - 43178 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Suppose 3*c - 292 = -q, x*q = 3*c - c - 213. What is the tens digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1911 = 31*c - 352. Calculate the remainder when c is divided by 73.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12551, -12529, -12507, -12485, -12463?\n\"Answer: 22*a - 12573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 18 = 5*w. Let p(c) = -2*c - 1. Let b(l) = 2*l + 4. Let n(u) = -4*u - 7. Let v(g) = 5*b(g) + 3*n(g). Determine w*p(r) - 5*v(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 141762412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 234 - 161. What is the tens digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -104552, -104999, -105742, -106781, -108116, -109747?\n\"Answer: -148*y**2 - 3*y - 104401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422705 is divided by 434.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = 3*w + 24. Solve 0 = f + 2*f - w for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (765\/75 + -13)*(-100)\/(-6). Which is smaller: -47 or v?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 6*j**2 + 2*j - 9. Let k(m) = -m**2 + 4*m + 10. Let u be k(5). Suppose u*f + 18 = 6*f. Suppose n - 4*n = -f. Give b(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7.289 and -2?\nAnswer: 14.578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3702070 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n**3 + 11*n**2 - 13. Suppose 0*o + 20 = -4*o. Let p(u) = -5*u**3 + 17*u**2 - 20. Let r(g) = o*p(g) + 8*a(g). Factor r(d).\nAnswer: (d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 642650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooo. Give prob of picking 4 o.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (-2433)\/(-18) - 11\/66. Suppose -z - 3*z + y = -4*p, -2*z - 107 = 3*p. Is 5\/p - (12286\/(-7) + 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 208726, 208631, 208472, 208243, 207938, 207551, 207076?\nAnswer: 206507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2 - 5*m - 4. Let h(p) be the first derivative of -p**3 - p**2 - 2*p - 2171. What is -13*h(o) + 6*l(o)?\nAnswer: 3*o**2 - 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -40. Suppose -4*d + u = 5*v, 2*d + 2*d - 28 = -4*v. Solve -a - 6 = -2*q + 2*a, -v*q - 4*a - 31 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2. Let u(c) = 310*c. Determine i(u(y)).\nAnswer: 288300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*4\/(-40)*2\/1.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 4) + 5 + (-4 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**5 - 47*a**4\/3 - 64*a**3\/3 + 8*a**2 + 80*a\/3 + 16\/3 = 0. What is a?\nAnswer: -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -9c + -2?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 893241 and 2403.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/((-20)\/135))\/(13\/(-52)). Solve 15*f = q*f + 24 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -1 + 4*i**4 + 4*i - 12\/5*i**5 + 8\/3*i**3 - 8*i**2. Determine x, given that b(x) = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 6*u + 3. Let a be k(-6). Suppose -4*q - 4 = 4, -t + q - 20 = 0. Let l = t - -33. Solve -4*d = 4*x + 12, -x - a*d = 2*d + l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.0926, 1, 0.07008?\nAnswer: 0.07008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r - 1. Let m(l) = -15. Let y(v) = -m(v) - x(v). Let w(g) = -1. What is -4*w(o) - y(o)?\nAnswer: -o - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204400342 - -1?\nAnswer: -204400341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 355862 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: What is the remainder when 6453 is divided by 1053?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/330 and -16\/8439.\nAnswer: 928290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -11282674 and 4300.\nAnswer: -11278374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/5)\/(2\/(-10)). Suppose 137*n - 141*n = -z. What is the remainder when 74 is divided by n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1 - 1 - k + (0 + 0 - 1)*(-4*k + 4*k + 5*k) to s + l*k and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-72)\/(-33) - 2 - -40*128\/880. Let y(f) = f**2 + 55*f - 372. What is y(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -3*r**2 - 17*r - 2. Let l be m(-4). Find the third derivative of l*t**5 - 1339*t**2 + 1351*t**2 + 20*t**5 wrt t.\nAnswer: 2280*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105 and 70?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/(-4)*(2570 + 114)?\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60110873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 - 6*i + 11. Let b(g) be the third derivative of -g**5\/15 + g**4\/4 - 2*g**3 - 5*g**2. Let u(j) = -2*b(j) - 3*w(j). Solve u(x) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 0.3 (c) -1\/3 (d) 0.2393 (e) -1 (f) -0.0399\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o\/(o*o*o\/(((o**(-4\/17)\/o)\/o)\/o)*o)*o**16\/o*(o**10)**(-20\/11) assuming o is positive.\nAnswer: o**(-1761\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1390979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l - 4. Let s be q(6). What is s rounded to zero dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2841983801 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 493541611 a multiple of 5234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164580 is divided by 1442?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2132 by 10.\nAnswer: -1066\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = 5*p - 529, -2*p + 226 - 30 = -4*k. Let u = 4 + -3. Is 1\/(p\/(-106) + u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114 divided by 3?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 13) to base 3\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6\/28619 - 1689169\/3090852. Let u = 8\/27 + i. Let k = -1 - 0. Which is the second biggest value? (a) u (b) k (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 13\/2 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:09 PM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20 - 25. Let h(j) = j**2 + 8*j - 2. Suppose 0 - 7 = -7*r. Let t(y) = y + 1. Let u(m) = r*h(m) - 4*t(m). What is u(i)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 438 - 334. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-77)\/(-22))\/(-7)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003052418095 to five dps.\nAnswer: 0.00305","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18\/8627 or 1?\nAnswer: -18\/8627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 181b46 (base 15) to base 4.\nAnswer: 10131231303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -18. What is the lowest common multiple of x and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -9*k**3 - 65*k**2 - 39*k - 34. Let c(d) = -d**3 - 8*d**2 - 5*d - 4. Let p(m) = 17*c(m) - 2*z(m). Give p(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8927562 divided by 212561?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 7*g**2 + g - 7. Let h be n(7). Suppose h = -a + 2 - 4. Is (a\/(-4))\/((-4)\/(-1016)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d = 22*d - 5655. What are the prime factors of d?\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-3) + (-169)\/(-39)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -580274 by -178.\nAnswer: 290137\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**2 + 67752*t - 382527792 = 0. Calculate t.\nAnswer: 11292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/231)\/((-13)\/((-78)\/1))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-2*sqrt(432) + (1*1*sqrt(432))**2 - (-4 + (2*sqrt(432))**2 - (-3 + sqrt(432) + (-4*sqrt(432))**2 + sqrt(432) - sqrt(432))).\nAnswer: 84*sqrt(3) + 5617","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 17. Let l = g - 8. Suppose 0 = 5*p + 5*u - 19 - 31, -u = -5. Which is the biggest value? (a) 4 (b) -5 (c) l (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**3\/6 - 5*p**2\/2 - 39*p. What is w(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121021 - 113030320?\nAnswer: -112303233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 19.15 (b) -2\/17 (c) 1\/2 (d) -5 (e) -0.54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 347 by 917631.\nAnswer: 347\/917631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119*c**5 + 5*c**4 - 672*c**2?\nAnswer: 7140*c**2 + 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 9:27 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10.8, 0.61, 5, -1.06?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r\/(r\/r**(-3)*r)))*r*(r**(-31)*r)\/r*r assuming r is positive.\nAnswer: r**(-33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 29382680391.11585757 + -29210134364.815858. Let i = j - 172545937.3. Let f = i - 89. Round f to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27286 to the power of 1\/2, to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 43*p + 54*p + 550 + 711 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -814974 + 39*y**2 + 407526 + 407449.\nAnswer: 39*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxr when three letters picked without replacement from xararraxwx.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 34269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 6*j + 1. Let c be z(5). Let f(o) = -3*o + 11. Let r(m) = -m + 3. Let k(g) = -f(g) + 5*r(g). What is the tens digit of k(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -13\/3. What is the fourth smallest value in -6, 0, 4, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23691571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 s when three letters picked without replacement from {s: 4, x: 3, m: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4 = s - 0*x, -2*s = 4*x - 38. Let g(m) = -m + 12. Let w be g(9). Find the first derivative of -a + w*a - 4*a - s - 4*a wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -17\/5 (b) -2 (c) 2 (d) 4 (e) -49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*(34 + (-2369)\/69).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285 = -0*q + 33*q - 276 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4081*u + 60957 + 83728 = 282612 + 257930 for u.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -106, -104, -112, -136, -182, -256?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 196*f - 688. Calculate the remainder when 1127 is divided by c(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -8. Let z = 33886 + -33813. Sort z, b, 3 in ascending order.\nAnswer: b, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 6. Suppose -8 = -2*d - 4. Let n(u) = -u + 1. Let p be n(1). Solve p = a - d*a - g for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*i + 18073 = 7*i - 525*i - 4937 for i.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51473796 divided by -3.\nAnswer: -17157932","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -2.213\nAnswer: -11.065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*i = -16*i + 180 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1381 divided by 9\nAnswer: -1381\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hihfkvhh. Give prob of picking 1 i, 1 k, and 1 v.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -203\/8 - -207\/8. Let w = -6 - -4. Which is the biggest value? (a) 0.4 (b) p (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t. Suppose -2445 - 8451 = -12*l. Let v(k) = -l*k + 1816*k - 921*k. Calculate v(j(n)).\nAnswer: -65*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 355 and 8804.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -6*l + 20, 88*l = 83*l + 30. Let r(c) = 4*c - 1. Let i be r(3). Let y(h) = h**2 - 9*h. Calculate the smallest common multiple of k and y(i).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 790255.9 - -0.03.\nAnswer: 790255.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-815)\/16300 + (-591)\/180\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30\/12 + (-3)\/(-6). Let i(g) be the first derivative of g - g + 10 + 0*g**3 - 5*g**q. Let n(z) = -z**2. Give i(n(b)).\nAnswer: -15*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*l - 10, 2*l + 0 = -10. Let r be 95\/35 - (-2)\/7. Suppose r*j + 15 = c, f - j = -2*j + 12. Calculate the remainder when 50 is divided by f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -413073, 2, 3, 1 in decreasing order.\nAnswer: 3, 2, 1, -413073","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1.9, 11?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2341450 + 3?\nAnswer: 2341453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -2 + (-7 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vrv when three letters picked without replacement from {r: 4, v: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000292520181 rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/5, 2\/7, 0.2, 188?\nAnswer: 188","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-1360))\/(4\/40)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m - 9. Let s be a(7). Suppose 0*t - s = t + 2*k, -t = 5*k + 53. Let d = t - -76. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 183339.2 tonnes to nanograms.\nAnswer: 183339200000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -3*d**2 + 6*d + 28. Calculate k(-3).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from thtlhtllthlhltthtlll. Give prob of sequence hlll.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0*2\/4)\/2. Let h(i) = i**3 + i**2 - i + 1. Let a be h(r). Which is smaller: a or 5\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 2*v**2 - 38*v - 61. Let s be r(20). Suppose n = -5*p + 257, 4*p - 10 = 10. Let c = n - s. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3145317?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the third derivative of 7*i**6\/60 + 7*i**4\/12 + 2*i**2. Let v(l) = 277 - 5*l**3 - 5*l - 277. Give 4*q(t) + 11*v(t).\nAnswer: t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/3, -3, 45, -3.031?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 29?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 2*r - 7. Suppose -z + 11 = 5*u, 5*z - 35 = u - 6*u. List the prime factors of m(z).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -48, -196, -450, -816, -1300, -1908?\n\"Answer: -i**3 - 47*i**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k**(-5\/8))*k))**(-6\/11))**(-1\/17) assuming k is positive.\nAnswer: k**(-15\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 6)*(-4 - 2*k + 4)*(4 - 5 - 23*k**2 - 2*k**2).\nAnswer: 50*k**3 + 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 - 324\/15)*-5. Let s be -4 - (2 + -2) - n\/(-20). Factor -s*b**2 + 6\/5*b - 4\/5.\nAnswer: -2*(b - 2)*(b - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 766315 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -729 - -736. Suppose n*l = 35 - 0. Solve -3*k - 2*m + 4*m = -12, l*k - 20 = -3*m for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -425*g - 3005. Give x(-7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 20*v - 17. Let c(n) = 15*n - 12. Let l(a) = -10*c(a) + 7*o(a). Let x(u) = 4*u**2 - 6*u**2 + u**2. Give l(x(d)).\nAnswer: 10*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 47336*-2*(-1)\/(-4). Let v be 2 + -4 - 526605\/f. Let l = -2\/5917 - v. Calculate the common denominator of -69\/10 and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/63)\/((-88)\/396)*4\/10.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 5*a = 928 + 976, 5*z + a + 2380 = 0. Let k = -43320\/91 - z. Do 1 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2833 - 135 + 787 = -205*g for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4328, 5, 2\/29 in ascending order.\nAnswer: -4328, 2\/29, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3829355 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 14355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3\/4 (b) 21 (c) -340 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3281 is divided by 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9144 is divided by 9037.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2135*(-10)\/595 - -36.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**5\/(b*b**16\/b) assuming b is positive.\nAnswer: b**(-11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1682309648.0003211 - -1682307117. Let k = r - -2531. What is k rounded to 5 dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = -3. Let v = 10 - h. Suppose -v*u + 55 = 2*u. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 4*d**2 + 4*d**2 - d**3 - 1 - 2*d**2 to the form j*d + q*d**2 + l*d**3 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 5*b**6\/6 - 4*b**5 + 5*b**4\/4 + 70*b**3\/3 - 50*b**2 + 40*b + 671. Solve w(r) = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 1:06 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*x + 29*x = -3*d + 10039, -5*d = -2*x + 4028. Suppose -3*s - 4*f + 3035 = 0, x = 4*s - 5*f - 2079. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133*v + 82 = -131*v - 2*r, 0 = 5*r + 20. Suppose -4*y = -127 - 13. What is the remainder when y*2 - (0 + 1) is divided by v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -8.7 (b) -1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -561 greater than or equal to -561?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.362*0.1.\nAnswer: 0.0362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -37, -9.\nAnswer: -37, -9, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q**4 - q**4 + q**4 + (q - 1 + 1)*(0*q**3 - 2*q**3 + q**3).\nAnswer: 2*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6528839*g**2*p**4 - 7*g**2*p + 18*g**2 + 9*g*p - 3*g + 42*p wrt p?\nAnswer: -78346068*g**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1666211 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 6:10 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 756362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 290*a**2 + 5*a - 291*a**2 - 31 - 71*a + 10*a to h*a + f + q*a**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17380381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113305?\nAnswer: 5, 19, 11719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f - 7*f = 35. Suppose f*s - 120 = 4*s. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 20*v = -66. Find the third derivative of -2*g**2 + 10*g - 10*g + 4 - 122*g**3 - 17*g**2 - 22*g**v wrt g.\nAnswer: -864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -68.12518 times -0.09\nAnswer: 6.1312662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106\/22 - 3*4\/(-66).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9943.109 to the nearest 100.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*q + 15*q + 11*q)*(-12*q**2 - 14*q**2 - 5*q**2 + 27*q**2).\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 3381813?\nAnswer: -4\/3381813","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 + 8*o - 2. Let v be t(4). Let q = 1762 - 1761. Which is greater: v or q?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d + 15. Let b be g(-11). Let y be b + (3 + -1 - -181). Let c = 300 + -283. What is the greatest common divisor of c and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (16\/(-6))\/((198\/(-243))\/11) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40551799 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052 + 0.027?\nAnswer: -0.025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48011 - -15315496\/319. What is the common denominator of s and 44\/29?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 0.0357 (b) -89 (c) -0.3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*s + 36*a - 25 = -97*s, 0 = 4*s + 5*a + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbug when four letters picked without replacement from jbbbgbjuggbgbjggj.\nAnswer: 3\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/140)\/(30\/(-40))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y - a + 556 = 0, 4*y + 2179 = -5*a. Let x = y + 586. What is the least common multiple of x and 80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/696 and 149\/2635578.\nAnswer: 10542312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - (-1664)\/(-6))*176085\/910. Round z to the nearest one thousand.\nAnswer: -54000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -240, -242, -244?\n\"Answer: -2*r - 238","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/17)\/k*k*k\/(k\/k**(4\/9)))**(-48) assuming k is positive.\nAnswer: k**(-1232\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llej when four letters picked without replacement from {m: 1, t: 1, j: 1, u: 1, l: 1, e: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -5*y + 3*c, 4*c = -4*y - 2 - 6. Let g(j) = 4*j + j**2 - 3*j + 4*j**y - 1 + 0*j**2. Determine g(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7373 = -5*m + 10452. Let v = m + -1924. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 3*u - 123, 5*u + 4*i - 3*i = 222. Suppose 10 = 7*r + 3. List the prime factors of (u\/2)\/(r - 2\/4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/8*(-1136)\/(-213))\/(-78)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (323\/95)\/((16\/120)\/(24\/(-18))).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 7756199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 22 = -t. Suppose -z + 61 = 3*u + 2*u, 5*z - t = -5*u. List the prime factors of u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 171 or 0.72?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2.8697247 months?\nAnswer: 0.000239143725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oopo when four letters picked without replacement from {o: 4, s: 11, p: 3}.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/21 and 71\/501.\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17628 + 32894 = -1154*j - 36664 for j.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 3:35 AM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 1 = -1. Let b = -3 - -5. Differentiate 4*l**2 - 2 - 2*l**b + s wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4*o. Suppose -88 = -5*j + 27. Let v(t) = 9*t**2 + 9*t**2 - j*t**2 + 4*t**2. Give v(p(l)).\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - x + 1. Let c be l(0). Let h(t) = 5*t**2 - 3*t + 4. Let o(u) = -3*u**2 - 2*u**2 + 2*u - 1 - 2. Let w(j) = 4*h(j) + 5*o(j). What is w(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 1:31 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqllglllgqqq. What is prob of picking 2 q, 1 g, and 1 l?\nAnswer: 20\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -916*z**4 + 5*z**3 - z**2 + 499*z**4 - z**3 + 457*z**4 + 6*z as d*z + h*z**4 + l*z**2 + f + w*z**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1208997\/95 + 12726. Find the common denominator of -20*(-16)\/100 - (1 + 5) and w.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2929105409 - -0.2813.\nAnswer: 2929105409.2813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/5)\/(p*p**3*p)*(p**(-2\/13)\/p)\/p**(-2\/17))\/((p\/(p**(-1)*p))\/p*p**(-3\/4)*(p*p**(-1))**32) assuming p is positive.\nAnswer: p**(-24249\/4420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 2) + 3 + (3 - 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4))\/((187\/(-154))\/(-17)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -24 - (-4 + 6) - 0. Let x = -36 - l. Let n be 4\/x*5\/2. Let p(a) = a - 1. Let t(j) = j**2 + 2*j - 3. Determine n*t(i) + 3*p(i).\nAnswer: -i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus -8648803?\nAnswer: 8648793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5485*h + 718350. Give w(-131).\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -79\/244? (a) -4 (b) 2\/67 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and -3688833197.\nAnswer: -3688833198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = -5*u - 0. What is the remainder when u is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 70 + 339. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 3*w - 6330. Let l be n(0). Let g = -126639\/20 - l. What is the common denominator of -155\/78 and g?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((53\/(-18))\/53)\/((-13)\/52).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {k: 1, e: 3, t: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, 4686, 3 in descending order.\nAnswer: 4686, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i - 392 - 453*i**3 + 4*i + 394. Is s(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utrtxttruyuttuyy. What is prob of sequence ry?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*r - 5, -3*v - 4*r = -4*v - 1. Let j be (v + 4)*(-6)\/9. Let d be (j + 4)\/(0 + -2). What is the third biggest value in d, -5, 5\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25108*p**4 + 56*p**2 + 4*p - 8840534.\nAnswer: -100432*p**3 + 112*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/((r\/(r*r**6))\/r))\/r*r*r**(-5)*r**7\/r*r\/r**(-3\/2) assuming r is positive.\nAnswer: r**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-50))\/((-6)\/95). Let t = j + -817\/140. Let g = -252\/13 - -241\/52. Calculate the common denominator of t and g.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n + 5. Let o(c) = -c - 1. Let k(f) = -a(f) - 4*o(f). Let y = 62 + -58. Let r be k(y). Solve 0 = -u - 1 - r for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5244065 to the nearest integer?\nAnswer: 2290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence avva when four letters picked without replacement from {v: 2, a: 4, t: 5}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u - 3*b = -26*u - 18*u + 27, -8*u = 2*b - 50 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 5*y**2 - 6957775*y - 27831180 = 0?\nAnswer: -4, 1391559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 4:12 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 63617 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/(-11) - -1)*(-16)\/(-8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of -f**6\/160 - 11*f**5\/20 - 121*f**4\/8 - f**2 + 139. Factor j(c).\nAnswer: -3*c*(c + 22)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - -9. Suppose 21 = 3*k - o. Is 6 a factor of 2\/(-8) - (-75)\/k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/4*(960\/(-32))\/90?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*c - 4, 2*c - 17 = -q + 6*c. What is the units digit of (-7)\/(q\/(-240)*3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 68 + -74. Let v be 75\/9 - n\/9. Solve -18 = -3*g + 3*l, -v = g - 0*g + 4*l for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.58 - 122702\nAnswer: -122702.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/5 and -127\/42.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**13*(h*h\/h**(2\/15))\/h)\/(h*h\/(h\/h**(-1)))**(-37) assuming h is positive.\nAnswer: h**(208\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 0*n = -2*o - 2, -o - 1 = 0. Let u = 50\/63 - 5\/63. Is u <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.69 or -178?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, c: 4}. Give prob of sequence ss.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7376586 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h**2 + 9*h - 5. Let f be p(1). Solve 8 = 3*d + f for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unuextt. Give prob of picking 2 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 9 = -2*y - 1, -3*t + 2*y = -18. Let z be (-18)\/(-4)*(-50)\/15. Let i be ((-3)\/z)\/(3\/15). Sort 5, t, i in ascending order.\nAnswer: i, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-90)\/9?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -10*c + 156. What are the prime factors of c?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z**2 + 2*z - 1. Let t(q) = q**3 - 16*q**2 - 15*q - 33. Let g be t(17). Give m(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-5))\/(706\/(-1059)).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(24)\/sqrt(6))*-3.\nAnswer: -3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -572*p + 577*p. Suppose p = 13*f - 20 - 760. Calculate the greatest common divisor of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tptppttftpppttt. Give prob of sequence ttp.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4807274 meters in nanometers?\nAnswer: 480727400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(4*sqrt(294) + sqrt(294)))\/sqrt(6))\/(sqrt(42)\/(sqrt(42)\/sqrt(7)*6)))**2.\nAnswer: 157500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 7*f + 5. Suppose -1 = 53*k - 52*k. Let z be -6*(k + 0 + 2). Give x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 232 + -165.4. Round r to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (21\/15 + -1)*-5. Let r = 6 + i. Suppose 0 = -r*u + 4, 5*s + 2*u = -2*u + 34. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 3*f**2 - 2*f + 4. Let i be w(3). Let d be (i - (0 - 0)) + 9. Solve -l + 0*b + 5 = -b, 0 = 3*l + b - d for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-40524)\/(-5952) - (4 + (8 - (-10)\/(-2))) and 25\/26.\nAnswer: 6448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10036.001095 + 10036. What is n rounded to 5 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = x + 18, 0 = -81*f + 79*f + 4*x. Solve -8*u - 8 = -2*w - f*u, 5*w + 3*u + 6 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbzy when four letters picked without replacement from zyzyyyyyzbyyybyyy.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 - 3018506?\nAnswer: -3018506.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11562638.\nAnswer: 2, 5781319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 7:47 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.4, -0.02, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9178 or 266139\/29?\nAnswer: 9178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 = 3*s + 141 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/435)\/(90\/(-450)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.85094 weeks to days.\nAnswer: 355.95658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 a, and 1 y when three letters picked without replacement from {w: 1, y: 1, a: 2, k: 1, d: 1, h: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 9*c + 2. Let d be f(8). Let z be (1 + -2)\/(d - -5). Is -46 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47\/3755, 0, 1 in ascending order.\nAnswer: 0, 47\/3755, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 226 (base 11) to base 2.\nAnswer: 100001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 17*k**2 - 13*k + 21. Is r(2) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**2\/4 + 10353939*t - 20707877 = 0. Calculate t.\nAnswer: 2, 41415754","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5894 or 478?\nAnswer: 478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42616 divided by 249.\nAnswer: 42616\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*u**3 - 74*u**2 - 3016*u wrt u.\nAnswer: 30*u - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22332 (base 4) to base 6.\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 36*l**3 + 2*l**2. Let u be p(2). Suppose u = 3*h - 313. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, z: 3, p: 2, i: 2}. What is prob of picking 1 z, 1 i, and 2 p?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1814*v - 1810*v + 15 = 5*a, 0 = -a - 4*v - 21 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10901588 (base 10) to base 16.\nAnswer: a65854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 332 + -306. Calculate the greatest common factor of 1703 and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 284327?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 831 = 2*z - y, 12*z = 7*z + 3*y + 2077. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.03306 milligrams in micrograms?\nAnswer: 9033.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 792*m - 10696.\nAnswer: -2*(m - 382)*(m - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.75075*-0.1\nAnswer: 0.075075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1993*i + 183598 = 4484*i - 67993 for i.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 768529 (base 10) in base 16?\nAnswer: bba11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 21*k - 42. Suppose 4*c - 5*c + 6 = 0. Let s be z(c). What is the second derivative of -l**2 + l**2 + 10*l**5 - 92*l + s*l wrt l?\nAnswer: 200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4052277 to 3 dps.\nAnswer: 0.405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 90, -0.1, -1\/65?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 102320 (base 8) in base 10?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 1327108140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 + -8. Sort 2, d, -3 in ascending order.\nAnswer: -3, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-4) - (-630)\/(-392)*5\/15?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 4*s**2 + 3*s - 10. Let v be w(-5). Solve v = m - 2 + 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m + 5. Let w(a) = a**3 - 4*a**2 - 5*a - 3. Let p be w(5). Let r be h(p). Suppose -r*q = 2*q + 8. Sort q, 0.4, 4.\nAnswer: q, 0.4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 w, and 1 i when four letters picked without replacement from wiiidddddidid?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24061.\nAnswer: 24061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 3*r + 4*v, -4*r - 8 + 73 = 3*v. Suppose -4*o = g - 62, -4*o + 2*g + r + 39 = 0. What is the greatest common divisor of 135 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-33) - 5420\/(-154) - (320\/70)\/16\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 PM and 8:57 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/12 + 10830\/4. Let h = q - 24409\/9. What is the common denominator of (136\/10)\/(3\/(-5)) and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 5, 7, 8.\nAnswer: -4, 1, 5, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -611*s**9\/252 - 109*s**5\/30 - 1249*s**2. What is the third derivative of f(v) wrt v?\nAnswer: -146640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -99, -98, -87, -60, -11, 66, 177?\n\"Answer: v**3 - v**2 - 3*v - 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*m + 61*m + 591192 = 0. List the prime factors of m.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.471 times 0.3?\nAnswer: -0.1413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*i = 91*i - o - 8, 4*o = 5*i + 25 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - n + 2*n)*(159 - 138 - 477)*(-325 - 4*n + 8*n + 323) to the form g*n**2 + q + l*n and give g.\nAnswer: 1824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 8 = 12 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*b**4*o - 115*b**4 - b**2*o + 48383*o wrt b.\nAnswer: -3048*b*o - 2760*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-17 - -52) + (88 - 153)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -5*f - 1. Let n be (-4)\/6*(16 - 1). Let o = n - -11. Determine x(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/2131 in 12\/5, -29\/5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 1648.03 to the nearest one hundred.\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69829, 139759, 209685, 279607?\nAnswer: 349525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 65*1076\/2 + 1. Suppose 0 = -p + 5*w + f, -4*p + 72508 = -3*w - 67342. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8*x + 24 = 0. Let c be (-6)\/(((-8)\/x)\/(12\/18)). Suppose -a + 37 = -u + 2*u, c*a - u - 103 = 0. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 211189599*g - 156618504 wrt g?\nAnswer: 211189599","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.146 - 0.082. Let c = -718.772 + w. Let n = c + 719.000369. Round n to 5 decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.69 + 5.69. Which is the nearest to 5\/4? (a) 1\/3 (b) m (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 6*r - 21*r. Let h be (1042\/20 - 4\/(-10))*r. Let l = -49 + 91. What is the greatest common divisor of h and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 403796 and 2813.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394, 383, 358, 313, 242, 139?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 - -1102210?\nAnswer: 1102011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (32\/(-17))\/1 - -2. Factor -n*l**2 + 0 + 2\/17*l**4 + 2\/17*l - 2\/17*l**3.\nAnswer: 2*l*(l - 1)**2*(l + 1)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53898995833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10895, 10897, 10901, 10907, 10915, 10925?\nAnswer: 10937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**6)\/v*v)\/v*v**(4\/3)*(((v**(-1\/2)*v)\/v)\/v)**12*((v*v**0*v*v*v*v)**38)**(4\/11) assuming v is positive.\nAnswer: v**(1928\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088)*-2 + 2) - 2*1*sqrt(1088) - (2 + (sqrt(1088) - (sqrt(1088) - (sqrt(1088) + 0 + -5)))))**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 14, n: 4}. What is prob of picking 3 j and 1 n?\nAnswer: 364\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 5*h = d + 15, 4*h + 12 = -4*d. Suppose -15 = 3*k, k + d*k + 107 = -3*j. Let w = 61 + j. Is w a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2549*q + 2 - 2 - 2555*q.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2b (base 15) to base 7\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 546*w = 535*w + 484. What is the greatest common factor of 3982 and w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ogtnonxgxxopnpg. What is prob of sequence tp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49071474, -196285885, -441643234, -785143521, -1226786746?\nAnswer: -1766572909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8249641 centimeters to meters.\nAnswer: 0.008249641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -13*l**3 - 3*l**2 - 6*l. Let y(h) = -15*h**3 - 3*h**2 - 5*h. Give -6*p(g) + 5*y(g).\nAnswer: 3*g**3 + 3*g**2 + 11*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 0.3. Let g = n + 1. Suppose 3*i + 2 + 4 = 0. Which is the closest to 2\/3? (a) i (b) g (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 26*r**2 - 161*r + 8. Let l be y(-16). Solve -l*s + 17 = -7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -3. Suppose 0 = 5*v - 7 - 43. Let b be (-20)\/(-12)*12\/v. Sort b, i, 3.\nAnswer: i, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*p = -4, 7*s - 12 = 2*s - 3*p. Let u(x) be the first derivative of 1 + 0*x - 2\/21*x**s + 2\/7*x**2. Factor u(q).\nAnswer: -2*q*(q - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = 3*g - 14, -2*x + 9 - 21 = g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 - -141. Suppose -4*q = 3*h + 28, 5*q - 3*h - 2*h = -70. Let x be q\/35 + 6\/v. What is the third biggest value in x, -1\/6, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2063*p - 1246*p - 21*p - 1.\nAnswer: -3330*p - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52 + -28. Let l = r - 19. Sort l, 0, 2.\nAnswer: 0, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a204994 - -3?\nAnswer: a204997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 280, 255, 224, 187, 144?\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20031 (base 4) to base 11.\nAnswer: -438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 - (-51 + 22 - 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4 - 1. Let i = -8.95 + 8.852. Let g = -0.11 - i. Sort -0.3, g, p in ascending order.\nAnswer: -0.3, g, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 - 2772*m**2 - 2561328*m - 788889024 = 0.\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 216829 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 171, -1\/4, 0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.56 - -0.6. Let x = -0.84 - 46.16. Let b = x + 46.8. What is the third biggest value in t, 3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*f = -61*f - 4*p + 136, -5*f = -4*f - 40*p + 151 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88578 and 13986?\nAnswer: 265734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4137, 3893, 3589, 3219, 2777, 2257, 1653, 959?\n\"Answer: -i**3 - 24*i**2 - 165*i + 4327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51899*y**6 - 25927*y**2 + y + 1 wrt y?\nAnswer: 6227880*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6161*w + 6166*w - 472 = -8*s, 1504 = 2*s + 17*w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**23)\/w**(-1\/9)*w**(2\/35)*(w*w\/w**(1\/8))\/w assuming w is positive.\nAnswer: w**(65629\/2520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 4 - 4)*(-t + 3*t - 5*t) + 25*t**2 + 8*t**2 - 40*t**2 - 11*t - t.\nAnswer: -10*t**2 - 12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -474460 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**4\/32 + j**3\/6 + 5*j**2\/16 + j\/4 - 191. Factor o(c).\nAnswer: (c + 1)**2*(c + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of -i**8\/672 + 7*i**7\/6 - 15941*i**6\/48 + 212503*i**5\/6 + 546325*i**4\/3 + 1102736*i**3\/3 - 28*i**2 + 24*i. Solve a(j) = 0.\nAnswer: -1, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 26, 13, 0, -13, -26?\n\"Answer: -13*l + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, 5, 35, 85, 161, 269, 415?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4618*t + 2322*t + 2324*t + 2.\nAnswer: 28*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 2, -20 in decreasing order.\nAnswer: 2, -4, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 4*b - 9, -u + 8*b - 6*b - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eieiieiieiiiiiei. What is prob of sequence eeei?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 5, -0.4, 2\/13.\nAnswer: -37, -0.4, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/10*20\/4. Suppose -77 = -5*t + 28. Suppose v*a = t + 15. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(1260)*-3*4)\/(2*(sqrt(343) - ((sqrt(343) + (sqrt(343) - (sqrt(343) + sqrt(343) + 4*sqrt(343)*-6)) - sqrt(343)) + sqrt(343)))))**2.\nAnswer: 233280\/25921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 78*k**2 + 23*k + 1793. Give h(-78).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -12, 0 = -l - l + 2*c for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 92 = 3*c. Let y = 98 + c. What is the tens digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -424, -850, -1276, -1702, -2128?\n\"Answer: -426*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -277*w - 549*w + 826*w - 15*w**3.\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/4038628 and -95\/4038628?\nAnswer: 4038628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12208, 48868, 109972, 195520?\nAnswer: 305512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 2\/45 (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Let c = z - 6. Which is greater: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -653 - -657. Suppose -5*g + 28 = -2. Suppose -d = -q*d + g. Solve t = d*t - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -20.58?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -10 - -1) + (-2 - -1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -11*l + 1\/3*l**3 - 4*l**2 - 3. Let j be a(9). Which is smaller: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 621 and 983043.\nAnswer: 621","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 28. Let q be v(21). Let u = q + 48. Let t(x) = 2*x + 3. Let b(z) = -1. What is u*t(p) - 4*b(p)?\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4748*-0.3\nAnswer: -1424.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1440*-2.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.4 - -26.2. Let f = t - 18. What is the third smallest value in -0.1, f, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/(-7))\/((-6)\/(-21)). Solve -d = q*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.2872 rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66846673?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3296 - 10800 = -4*t. Let x = -1724 + t. Let h = x + -13300. What is h rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 91442 * 7\nAnswer: 640094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 213826 - 3594*k - 213826 in the form u*k + y and give u.\nAnswer: -3594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**3 + 8*y**3 - y**3)*(13*y**2 - 38*y + 38*y) - 42 - 615*y**2 + 615*y**2 + 2*y**5.\nAnswer: 67*y**5 - 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.07 + 0.03. Let y = -0.1 + p. Which is the closest to 3? (a) 0.2 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 4 = -i, i + 4*i + v = 12. Suppose -3*k - 10 = i*k. Sort -4, k, 1\/4.\nAnswer: -4, k, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/16)\/((-15)\/20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 60+-93979480.6159\nAnswer: -93979420.6159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109\/(-56))\/(180\/(-360)) - (-22)\/(-8).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 132331568 - 94366162. Let a = 26165406 - u. What is a rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-364)\/(-3) + 0)\/((-62)\/(-186)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*1\/1*(1272\/53)\/9672*31\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rzizrizyri. Give prob of sequence iiy.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-3\/4)*t\/(t**(2\/13)\/t)*(t*t**(-4))\/(t**(-5)\/t) assuming t is positive.\nAnswer: t**(213\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-73 + 67)*4\/(-54)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10070 + -674?\nAnswer: 7174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2607*k**3*w**6 - k**3*w - k**2*w**2 - 30*k*w**4 + 963273*k wrt w.\nAnswer: -312840*k**3*w**3 - 720*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*2*sqrt(66) - sqrt(66)*-3*-6)\/(-6*-2*sqrt(486) + sqrt(486) + sqrt(486) + 5*-1*sqrt(486) + sqrt(486)).\nAnswer: -7*sqrt(11)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 98703 and 98710 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (373 - 170 - 158)*(-775 - 32*o + 775)*(1 - 1 + 0 + 3).\nAnswer: -4320*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (-135 + 269 - 28).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-8))\/(-1))\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*5*(sqrt(17) - -6*sqrt(153) - sqrt(17)).\nAnswer: -450*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4931 greater than 4958?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 76 and 10?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p**3 + 19*p**3 + 33*p**3.\nAnswer: 11*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12761.\nAnswer: 7, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43847 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 4*x - 14, 3*j + 10 = 2*x - 0. Let v = -2 + -2. Let l be (-14)\/18 + v\/18. Which is smaller: l or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 15*k**2 + 14*k + 14. Calculate the least common multiple of 2 and r(14).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o + 4*g - 29, -g - 12 - 7 = 4*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + (-18 - -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -69782, 2 in decreasing order.\nAnswer: 6, 2, -69782","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.0287246*-3\nAnswer: 0.0861738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-285)\/84 + 32*(-6)\/(-168)\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 5*o + 2*s + 1, s + 4 = 0. Is (o - 2)\/(4\/44) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -2, -0.914, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1217486.57\nAnswer: 2434973.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-12)\/(-8)*(-4)\/(-54). Let g be 2\/12 - (-5)\/6. Suppose -18*h - 152 = -170. Which is the nearest to h? (a) g (b) z (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-116)\/58 - (-2914 + 1) is divided by 91.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/6 - 252971*a\/3 + 168647\/2.\nAnswer: (a - 505941)*(a - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -3\/2 (b) -48 (c) -2\/221479\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5239835603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, 5, -8, -68.\nAnswer: -68, -8, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27328*i*s**3 + 179850657*i*s**2 + 923*s**4 + s**3 wrt s.\nAnswer: 163968*i + 22152*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6, 1, 10, 21, 34, 49?\n\"Answer: j**2 + 4*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 + 20*y**2 - 21*y + 4. Let w be l(-21). Let p(j) = j**3 - 6*j**2 - 2*j + 6. Let h be p(7). Let k = -16 + h. Solve w*v - k = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -9*x**2 + 2. Let b be m(-2). Let r = -25 - b. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46 - 60*a - 37 - 54 - 48 - 33*a with respect to a.\nAnswer: -93","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(0 + sqrt(13)))**2 - (sqrt(13) - (sqrt(52)*2 + sqrt(52))\/sqrt(4))) + 0.\nAnswer: 2*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -38540383 - 768\nAnswer: -38541151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**3 + 5*n**2 - 5. Let r be z(-3). Let d(u) = 2*u**2 - 3*u**2 - 7*u + 17 - 7*u. Is 4 a factor of d(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 32\/(-14) - 2\/(-7). Is (-137)\/z + 2\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*a + 303*a + 4368 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 27*z + 56. What is l(-25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 14, -206, -3, -4, 1 in decreasing order.\nAnswer: 15, 14, 1, -3, -4, -206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 45*y + 536. Let i(w) = 44*w + 468. Let n(u) = 8*i(u) - 7*x(u). Give n(-3).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 34*t - 31*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*c - 636*c - 223*c - 740*c.\nAnswer: -1342*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 0*v - 190 = -5*j, 5*v - 190 = -5*j. Suppose -34 - j = -4*m. Suppose 3*h + 3*h - m = 0. Calculate the highest common factor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/12)\/((-1)\/(-1)))\/(-2)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 59 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and -3344.\nAnswer: -86944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (10 - (13 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 868023895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(384)*2*2)\/(sqrt(72)*1 + sqrt(88)\/(sqrt(11) + (sqrt(11) - sqrt(176))))*-3.\nAnswer: -96*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2061 and 687.\nAnswer: 2061","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 66098707 a multiple of 3547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 691 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 152025 by 10.\nAnswer: 30405\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21193?\nAnswer: 21193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 990738.3um to nanometers.\nAnswer: 990738300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0060828398 to five dps.\nAnswer: 0.00608","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3285740431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.19 and -1.91.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2 - 4 = a, 0 = 4*l + l. What is the closest to -3\/5 in 5, 24, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -11.745059.\nAnswer: 3.5235177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + (-18)\/4 - -4)*-12. Suppose 7*c - 9*c = -w, 5*u = -c - 2. Let r be (-6)\/(-3) - (u - 1). Solve -o = h + 2*h, -r*o = -5*h - 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18815 (base 10) to base 15\nAnswer: -5895","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 318 = 5*b. List the prime factors of b.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320519166?\nAnswer: 2, 3, 11, 4856351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 18 = -4*s. Let y be -3 - 4\/(4\/(-5)). Suppose -30 + s = -y*d. Is 6 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + d**3 - 1 + 1 + (3*d + 0*d - 2*d)*(-3*d**2 - 3*d**2 + 5*d**2) + 2*d - d**3 - 2*d.\nAnswer: -d**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1717732 to the nearest integer?\nAnswer: 1311","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 380206883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 j, and 1 d when three letters picked without replacement from jfdqfiiqiffiqi.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 613 + 272. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 - (15\/(-3) - -124). Let v = k - -163. What is the second derivative of -15*n - v*n**4 + 65*n**4 + 2*n wrt n?\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 5 + (sqrt(98) + -2 + sqrt(98))*-6 + 2.\nAnswer: -84*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*(s**(-8)*s*s)\/s*s)\/(s*s*s**(1\/5)*s))**(17\/5) assuming s is positive.\nAnswer: s**(-697\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4840 - -4838. Which is smaller: j or -2\/8135?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) -0.5 (b) -4 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*w + 3*w + 145*w in the form u + x*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 500260.\nAnswer: 2, 5, 25013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 255?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57509, -115004, -172483, -229946?\nAnswer: -287393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + -3.4. Let m = n + 5. Let d = 6.9 - 7. Which is the nearest to d? (a) m (b) -3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94, 71, 32, -29, -118, -241, -404, -613?\nAnswer: -874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (4 + -3 - (14 + -9))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -132632, -264183, -395734, -527285, -658836?\nAnswer: -790387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-667)\/69 - -9) + 43\/(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 0.5, 485?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -350 - -1499\/4. Let k be -1 + -9*(-7394)\/35684. Let c = -1\/811 + k. Find the common denominator of c and q.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6466*s - 2931. Does 28 divide w(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31712 divided by -73\nAnswer: 31712\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2605 + -2597. Solve h - 21 = -4*j - m, 5*h = -3*j - 3 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2 + 2*b - 1 - 4*b. Suppose 2 + 33 = -5*s. Is a(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3045, -3077, -3123, -3177, -3233, -3285, -3327?\n\"Answer: x**3 - 13*x**2 - 3033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -66413 - 0.4\nAnswer: -66413.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 14*y - 24*y + 9*y + 6*y + 21*y - 26.\nAnswer: -y - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, -10, -29, -2 in descending order.\nAnswer: 4, 2, -2, -10, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1080432 divided by -432\nAnswer: -2501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*o - 5*o + 4*o)*(0*o**3 - 4*o**3 + o**3) + 17*o**4 - 43*o**4 - 12*o**4 + 0*o**2 + 0*o**2 + 2*o**4.\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*x + 287 - 287)*(54*x - 110*x + 47*x - 1).\nAnswer: 963*x**2 + 107*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 + 430*k - 41478. Give q(146).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -1 (c) -369 (d) -19 (e) 2\/17 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-4) + 6\/(-4). Let d be 1*0*r\/(-9). Suppose -2*t + 7*t - 900 = d. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -59 - 4?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 8:57 PM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 12*d**2. Let h(v) = 5417*v. What is z(h(o))?\nAnswer: 352126668*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, 11, -121, -1\/305, -0.1?\nAnswer: -1\/305","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -146608 (c) -22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t. Let k(w) = w + 53. Let q(y) = -j(y) - k(y). Let o be q(-28). Suppose -3*f + 744 = o*f. List the prime factors of f.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 428254168843144 + 5\nAnswer: 428254168843149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1 - (5 - 6)*226 is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -242, -239, -236, -233, -230?\nAnswer: -227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3131077?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59713290 divided by -46.\nAnswer: 1298115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-168)\/28)\/(6\/(-16)). Let y(v) = 4*v - 1. Let a(l) = 10*l - 35. Let w(p) = -a(p) + 2*y(p). What is w(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (11\/2 + 1)*(-195198)\/138. Let h = s + 9192. What is the common denominator of h and 61\/9?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 2. Suppose o = -3*x + 3*k + 4, -22 = -4*x - 5*k. Solve 0 = h + x*h + 16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 56.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + -8. Which is bigger: -13 or v?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2801599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10077 + -59965\/6. Let v = -83 + y. Suppose 3*c + 3 = -0*c. Which is smaller: v or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 307 - 471. Let g = x - -222. What is the greatest common factor of 174 and g?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31\/5 - 6. Let z = -1.5 + 7.5. Let i = 6 - z. Which is smaller: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 2 m, and 1 l when four letters picked without replacement from memlae?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3023555113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(72)*1 + 1)**2.\nAnswer: 72*sqrt(2) + 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 3 l when four letters picked without replacement from plrrplllrpdrl.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*q - 227 + 212 - 15*q - q - q + 4*q - q - q + 0*q + (-2 + 4 - 1)*(4 - 4 - 2*q).\nAnswer: -10*q - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**3 + 2*t**2 + 5. Let b be o(0). Let f(l) = 2*l - l - 1 - 7*l + 12*l**2. Is f(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*p - 1907535 = 3933980. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1748708 + 627918. Round q to the nearest one thousand.\nAnswer: -1121000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*r + 2320 + 3623 = 0 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 4:19 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - 26805737065.\nAnswer: -26805737078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66967195 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38030.\nAnswer: 2, 5, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1053*j + 4622 wrt j.\nAnswer: 1053","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 - -71. Let k = l - -8.8. What is the nearest to -0.1 in 11, 1, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13)\/(546\/12)*-7. Let w = -11 + 16. Solve 0 = w*c + 8 + a for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*z**2 + 10*z - 1 + 1 - 37*z**2.\nAnswer: -15*z**2 + 10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 132613650 and 1560.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -130*r**3*z**2 + 3*r**2*z - 173*z**2 wrt r.\nAnswer: -780*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-6\/11)*z*z*z*z**(-2)*z*z*z)\/(z*z**(-2\/3)\/z*z*z)**(-13))**(-10\/11) assuming z is positive.\nAnswer: z**(-6860\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*m - k, -25*k - 13 = 4*m - 26*k. What is the second smallest value in -1, -0.134, m, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13183706 divided by 58078.\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15846 + 762 - 1218 = 342*j for j.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**3 - 10*b**2 - 11*b - 11. Suppose 70 = 3*m + 2*s, 3*s + s + 124 = 5*m. Let z be m\/(-2 - 0) + 3. Is u(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7739 is divided by 678.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 5:48 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19806921011 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 24 = 2*t + m, 0 = t + m + 10. Let p(u) = u**2 + 9*u + 10. Let x be p(t). Let y be (1 - x)\/((-1)\/(-1)). Is y bigger than -2\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 36*n = 112. What is the smallest common multiple of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-3)*126\/462.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 523*q - 7473 = 16475 + 2725 for q.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.674 to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/28 + (-30)\/(-8). Suppose -5*g + 18 = z*g. Suppose g + 5 = -j - 2*i, 7 = -5*j + 4*i. Put 1\/3, j, -41 in ascending order.\nAnswer: -41, j, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*p**2 - 19*p**3 + 105*p**2 - 13*p**2.\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*o + o + 0*o - 15 + 4*o in the form s*o + c and give c.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 164166*3.36\nAnswer: 551597.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 - 4*m**2 - m. Suppose 6*a = a - 20. Let r be j(a). Solve -r = 5*v + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*q**(3\/4)*q)\/q)**(2\/7)\/((q*q**(-2\/43))\/q**(1\/5)) assuming q is positive.\nAnswer: q**(97\/3010)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t + t - 4*t + 0*t**3 + 4*t**3 + 2*t**4 + 2 to d + q*t**4 + b*t**2 + h*t + l*t**3 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -76.50329.\nAnswer: -38.251645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*o + 2*o - 2*z, -2*z = 4*o - 4. Suppose -2*n - n + 36300 = o. What is n rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9206 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from uiuiuuuiiuiiuiibiii.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = l + l. Suppose -3*v + 30 = -6. Let f = v - l. Sort f, 2, 0 in increasing order.\nAnswer: 0, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-7 - -10) - (-1 + 7)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of p**8\/28 - p**7\/21 + 86*p**6\/15 + p**4\/4 - 1145*p**2\/2 + 1635*p. Find the third derivative of c(n) wrt n.\nAnswer: 240*n**3 - 120*n**2 + 4128*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 2*u - 5, 4*u = -2*k + 2*u - 10. Let l be (-13)\/2 - k - -4. Factor -1\/4 - 1\/4*m**2 - l*m.\nAnswer: -(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**4*v**3 + 1620*a**4*v + 7*v**3 - 82*v**2 + 2*v + 7 with respect to a.\nAnswer: 8*a**3*v**3 + 6480*a**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/5, 2, -0.223?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 16. Solve 9 = -d*x + 2*x - i, 0 = 4*x - 2*i + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - 12) + -1 + (-9 - 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*i - 3*p + 3, -44*i + 3*p = -46*i + 35 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -184? (a) -0.2 (b) 11 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2148*a**3*j**3 - 157*a**3*j**2 - 1315*a**3*j + a**3 - 2*j**2 - 7*j - 6 wrt j?\nAnswer: -12888*a**3*j - 314*a**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 153\/8. Let w = -791 - -7111\/9. Is w at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (10*(-14)\/(-700))\/((-1)\/(-2512555)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -5\/34906137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 880.5581s in microseconds?\nAnswer: 880558100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/15)\/r**(9\/7) assuming r is positive.\nAnswer: r**(-121\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.94569 millilitres in litres?\nAnswer: 0.07194569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -356 + 5. Let b = l - -12. Calculate the lowest common multiple of b and 7.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 59 - 29. Let y be -2 + (-3)\/(-9)*3. Let c be ((-24)\/(-10))\/(y\/(-5)). What is the greatest common divisor of c and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**2\/3 + 5*j\/3 + 1\/3 = 0. Calculate j.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4038757.7 rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/25, -2\/13, -2\/5, -1?\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes after 11:38 AM?\nAnswer: 7:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -313 (base 4) to base 5\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3977, -7959, -11941, -15923, -19905, -23887?\n\"Answer: -3982*r + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3960 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84125603329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1430716 + -2476?\nAnswer: -1433414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -4, 0*l - 4*l = -2*u + 22 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-4 - (5 + -11))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -0 - 30. Let z be 5*(9\/q - -1). Suppose 4*r = -2*v + 32, 5*r = -z*v - 3*v + 30. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/81 and -5\/160134.\nAnswer: 4323618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.63 + -0.43. Let w = n - -0.1. Let f = w - -0.42. What is f rounded to 1 dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (145\/15 - 9)*7\/(560\/75).\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 10 = -4*z, -27653*z + 27649*z + 5*g + 14 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/66956 and -74\/182367.\nAnswer: 13859892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b**2 - 4*b + 5. Let z be a(2). Let u be 0*(2 + 10\/(-4)). Put 4, z, u in ascending order.\nAnswer: u, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.583925 weeks to seconds.\nAnswer: 1562757.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/12 + 5*o**4\/8 + 5*o**3\/3 - 26*o**2. Solve v(f) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8314*p**3 + 1033*p**3 + 397*p**3.\nAnswer: -6884*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmnmmfhmmmm. What is prob of sequence nm?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86860427 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -10. Find the second derivative of -a**2 - 4*a - n*a**2 + 2*a**2 - a wrt a.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 4978.974 decades?\nAnswer: 49789.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2690*a**4*s + 3068*a**4 + 2*a**3*s + 343*a**2*s + 7305*a + 3*s wrt a?\nAnswer: 64560*a*s + 73632*a + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (26\/8)\/(3\/12). Suppose -3*k + 3*l = -57, 0 = -3*k + 2*l - 0*l + 56. Let c = k - y. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10350 and 3078?\nAnswer: 1769850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 44415504 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -21*m + 305496. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 5*n - 4 = 0, -4*o = -2*n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-73 - 0) + 60 - (-5 - -10 - 163)?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9353, -10018, -11137, -12710, -14737, -17218, -20153?\nAnswer: -23542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13334)\/10325*(-14)\/(-4) - -1) + (-4)\/(-1)?\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**5 - 4*p**5 + 0*p**5)*(4 + 0 - 5) + (4*p**2 + p**2 - 2*p**2)*(-13715*p + 13715*p - 964*p**3).\nAnswer: -2891*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 316 - 362. Let o = 1680 - 3459\/2. What is the common denominator of o and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/5312 and -29\/876.\nAnswer: 1163328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/5 or 305?\nAnswer: 305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -43016 divided by -10754?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 6*l**2 + 8*l - 3. Let p(r) = -r**3 - 5*r**2 - 7*r + 4. Give 7*p(b) + 6*s(b).\nAnswer: -b**3 + b**2 - b + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2614783 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*p + 15, 4*b + 10 = -p + 2. Let i = 8 + b. Let n = 21769 + -21762. What is the lowest common multiple of n and i?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, 5, -27685, 10 in ascending order.\nAnswer: -27685, -9, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 500120.704 rounded to the nearest one thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -10 (b) 1\/4 (c) 0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2662.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2. Let i(u) = 4*u**2 - 45. Let k(h) = h**2 + 3. Let j(p) = 2*i(p) - 10*k(p). Calculate j(q(c)).\nAnswer: -2*c**4 - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*y + 5*y + 3*y)*(-3*y + 4*y + y) + 79*y**2 + 4798*y - 4798*y - 1.\nAnswer: 83*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 6. Let u = 43 - f. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from qqeeqqdqvueq?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 + 26*a + 16. Is 11 a factor of n(-26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -297, -597, -897, -1197?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4 - 59*l**3 + 317*l**2 - 201*l - 576.\nAnswer: -(l - 3)**2*(l + 1)*(l + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 314 + -224. Differentiate -4*t**3 - 4947*t - w + 4950*t + 11*t**3 with respect to t.\nAnswer: 21*t**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 5*g**7\/126 - g**6\/3 + 3*g**5\/4 - 5*g**4\/9 + 152*g + 2. Let m(o) = 0. Calculate o.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 10. Let p be y(-7). Let c be (0 - p)*(-4)\/6. What is the derivative of -4 - 2*w**c - w**2 + 1 wrt w?\nAnswer: -6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*g**3 + 15567*g**2 + 3891*g.\nAnswer: 3*g*(g + 1297)*(4*g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(175)*-4 - (sqrt(245)\/(sqrt(14)\/sqrt(2)))\/sqrt(5))**2 - -5*(sqrt(49)\/(sqrt(42)\/sqrt(6)) - (-5 + sqrt(35)\/sqrt(5))).\nAnswer: 2552","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, g: 1, o: 1, r: 1}. What is prob of sequence our?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4 - 16384*c**3 + 72912046*c**2 - 47539666944*c + 8419230331281 = 0?\nAnswer: 371, 7821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -71, 444, 6, 4, 5, -5 in decreasing order.\nAnswer: 444, 6, 5, 4, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/7 (b) 5 (c) -0.5 (d) 0.139 (e) -2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 15*l + 8. Let t be s(-7). Calculate the remainder when 34 is divided by (t\/(-40))\/(1\/10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a hour?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -64 - ((-9)\/(-3) + -6). Let q = v + 101. Calculate the highest common factor of 10 and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-103)\/412)\/((12\/4)\/(-336)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 7. Let f be o(9). Calculate the common denominator of (-6054)\/(-264) - (-2)\/f and -88\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -223 + 171. Are k and -54 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -534 + 134. Calculate the smallest common multiple of t and 20.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*t)*(12 + 100 - 37).\nAnswer: -150*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2703509 and 18230.\nAnswer: 27035090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 245.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3\/14 + -1\/70. Let l = 127.5 - 128. What is the second biggest value in -0.3, k, l?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 6\/((12\/14)\/3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 388313?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2646?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -c**5\/360 - c**4\/144 + c**3\/6 + 51*c**2. Determine j, given that l(j) = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -570455*m**2 - 6736*m - 3368. Let d(a) = -847*a**2 - 10*a - 5. What is -5*c(p) + 3368*d(p)?\nAnswer: -421*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 74 = 13*x + 4*x + u, -74 = -2*x + 9*u for x.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-49))\/(52\/(-14))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*n - 2*r, -2*r + 24 = 5*n + 2*r. Suppose -x - 14601212 = -n*u + 5398786, -4*x + 15000008 = 3*u. Round u to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28559 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1923611748 and 1979?\nAnswer: 1979","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -12) + -15 + -103 + 77\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*q - 150*q + 10483 = 1573. What is the greatest common factor of q and 352?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(2 + 4 + 0). Let z(o) be the second derivative of 0 + 1\/3*o**4 - 1\/15*o**6 - 1\/21*o**7 + 1\/5*o**5 - f*o**3 - 3*o - o**2. Solve z(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/60 + a**4\/24 - 7*a**3\/6 + 8*a**2. Let y be f(-4). Calculate the greatest common divisor of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1711 (base 10) to base 2.\nAnswer: 11010101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -9. Suppose -32 = -l*z + b, 6*z - 2*z - 2*b = 36. Solve 0 = 5*y + z - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 x when three letters picked without replacement from {j: 7, x: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 111?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/6 - 8423*v\/6.\nAnswer: v*(v - 8423)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000435 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11322 + -6457. Is j a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3\/4 - 7500*q**2 + 11052465*q + 595183940.\nAnswer: 5*(q - 3026)**2*(q + 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -71582 and -2.\nAnswer: 143164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1*4\/4)\/1*42\/6\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 373*c - 482*c + 3811294 = 0. Is 319 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8*169.6.\nAnswer: -135.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (43 - (119 - 95)) + -66 + -1.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*13.7.\nAnswer: 1.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4635558599 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 11, y: 9}. What is prob of picking 2 n and 2 y?\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1102756 to the power of 1\/2, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1300*u**3 - 11664*u**2 - 12732837*u.\nAnswer: -7800*u - 23328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 84 = 2*r, -13*p = 41*r - 75*r + 39*r + 292 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17523109 is divided by 1205?\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10291418 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -561 less than -560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 19*w - 22. Let a be b(17). Let m be a\/9*27\/12. Suppose -m*o = -o - 18. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 l when two letters picked without replacement from {l: 12, p: 6, x: 1}.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 38\/6889995 and 89\/19971.\nAnswer: 6889995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y**3 + 109*y**3 + 24*y**3.\nAnswer: 152*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 544*q + 16041 = 8288 - 10199 for q.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 3*a + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3760 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z + 2 = -187 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1210224, 1210225, 1210226, 1210227, 1210228?\nAnswer: 1210229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 34545*k - 99305802.\nAnswer: -3*(k + 5541)*(k + 5974)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827875 is divided by 122.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/2)\/(1\/(-16)). Let g = 15 - x. What is the least common multiple of 6 and g?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2351, 5154, 7947, 10724, 13479, 16206, 18899, 21552?\nAnswer: 24159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = 27 - 32 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 + 6*m - 1. Let r = 14 - 18. What is s(r)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -130, -26 in descending order.\nAnswer: 4, -26, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -50*m**3 - m**2 - 4*m - 3. Let c be r(-1). Solve -5*s + 16 = -3*o, -5*o - 52 = 4*s - c for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 6*r**3 + 17*r**2 + 7*r + 5. Let x(m) = 3*m**3 + 8*m**2 + 3*m + 2. Calculate -3*q(k) + 7*x(k).\nAnswer: 3*k**3 + 5*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 47637 and 169376.\nAnswer: 1524384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**8\/84 + 2*t**7\/105 + 10*t**2 + 4*t. Let n(y) be the first derivative of l(y). Factor n(r).\nAnswer: 4*r**4*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (487 - 516) + (171 - 13)\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 2*s + 4 = 0, -4*l = -0*l + 3*s - 60. Suppose 228 = 4*b - 2*f, -b - 5*f = 11 - 68. Suppose -b - 3 = -6*j. Is j smaller than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 80 and -0.012.\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 at least 54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12300639 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 3*k - 10, -2*k = z - 9 - 1 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8509 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - 3*x**2 + 5*x + 4. Let d be ((-6)\/(-3) - 4) + -2. Let o be p(d). Suppose 3*q - 12 = 0, -5*q - 27 = -4*w - 7. Solve o = -2*j - 3*j - w for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 - ((5 - -1) + -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 152813842 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/18 in 59, 14, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 1. Let g be a(-1). Suppose g = -w + 3*w - 4. Suppose -3*y - 990000 = -w*y. Round y to the nearest one hundred thousand.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -352\/17 - 955\/68. Is c >= -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + x + 36, -9922*x + 3 = -9925*x for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 4, 2, -3 in increasing order.\nAnswer: -3, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of 3*r**7\/70 - 3*r**4\/2 - 34*r**2. What is the second derivative of k(f) wrt f?\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2*g**2 + 0)*(2 - 2 - 2*g**2) + 44*g**4 - 9*g**4 + g**4.\nAnswer: 40*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 108 and 1188?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268555 is divided by 37.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/2)\/((-5)\/(-30)). What are the prime factors of (-205)\/(-30) + c\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 38*m**2 + m + 1. Let k(s) = -s**2 - s + 1. Let o be k(1). Is q(o) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.7 + 0.3. Let t = 92 + -90. Let i be (-1)\/(-4) - 14\/24. What is the second smallest value in i, p, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 0 + 7\/6*w**3 + 1\/120*w**6 + 1\/6*w**4 - 1\/10*w**5 + 0*w + 13*w**2. Determine o(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 1. Let u be (2\/3 + -1)*-3. Let k be v(u). Suppose 2*f + 65 = 4*i + f, k*i = -f + 31. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 122, 2, -200, -484?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3274*y - 3297. What is the tens digit of k(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 24*m**2 + 284 - 71 - 29*m + 17*m**2 - 18*m**2 + m**3 + 11*m**2. What is x(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 180*f - 549*f + 189*f + 178*f. Let d(o) = -256*o**2 + 2. Determine p(d(u)).\nAnswer: 512*u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + 25 - 21*w - 13*w + 35*w - 21*w. What is j(22)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1198, 4814, 10850, 19312, 30206, 43538, 59314, 77540?\nAnswer: 98222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 190 = -2*t + 2*g, 0 = 4*t - 5*g - 181. Is t a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 4.733 and -22799217636.\nAnswer: -22799217631.267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -4*a + 9. Suppose 2*q + q + 2*g - 59 = 0, -5*q - 5*g = -100. Let n = -25 + q. Is 9 a factor of d(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3116266 - 5.\nAnswer: -3116271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1639686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351 = -40*n + 49 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 + 81*r**2 - 84*r + 322. Calculate q(80).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47149 is divided by 99?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102 and 0.05?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 + -14 + -80 + -36 + 42.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 29885.8 and 1.\nAnswer: 29886.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 316994 - 79247 - 79249 + 2*j - 79246 - 79252.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10212 + 1?\nAnswer: -10211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 11) to base 12.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1928290 and 89\/9128.\nAnswer: 7713160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-47)\/((-88360)\/1974))\/((-9)\/5)*2\/14.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171.578 milligrams in grams?\nAnswer: 1.171578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + -7. What is the third derivative of -7*p**3 - v*p**3 - 5*p**2 + 8*p**3 wrt p?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 28. What is the greatest common divisor of 72 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 10*s**2 - 2. Let h be i(10). Let w be (-2)\/(-3) - 7\/(-168)*-28. Let m = 1597 - 1597. Which is the nearest to m? (a) w (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 2*a**2 - 894*a - 39 + 874*a. Let t be h(29). Let m = t - 79. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - u - 4, 1 - 7 = 3*x + u. Let b be (3\/(-3) + (-1 - -1))\/x. Is (1 + b + -30)*77\/(-14) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0*v\/(v*v**2)*v)\/(v**(5\/3)\/(v\/(v*v**(-9)))) assuming v is positive.\nAnswer: v**(19\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95588*5.5.\nAnswer: 525734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 2. Let v = -28 + 27. Suppose 2*a + 3*a = 0. Sort a, v, w.\nAnswer: v, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13\/42 + 7\/6. Which is bigger: 1 or k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2))**(14\/5)*s**(-8)*s**(-1\/6) assuming s is positive.\nAnswer: s**(-413\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -8 + 4*h**3 - 7*h**2 - 7 - 3*h**2 - 6*h - 3*h**3. Is w(11) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*r + 3. Let a be r\/70*-6 + 0. Sort 5, -5, a, -6 in ascending order.\nAnswer: -6, -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*v = -3*v - 978 + 3442. Sort 5, -2, -3, -12, v.\nAnswer: v, -12, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2936 - 14611\/5. Let t = -943 + 4739\/5. Factor -m*z + t - 9\/5*z**2.\nAnswer: -3*(z + 8)*(3*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -334563 - -6614697.\nAnswer: 6280134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-4)\/(-6))\/((-3)\/(-54)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10958*2.75.\nAnswer: 30134.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = v - 2*v. What is the remainder when 2 - 1\/(-3 + (-132)\/v) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(162) + 4)**2.\nAnswer: 72*sqrt(2) + 178","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -26 + (-26 - 6) + 50 - 82\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 405494 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2\/3 - 60*i - 300.\nAnswer: -5*(i + 6)*(i + 30)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**5\/3 + 7*j**4\/3 + 6*j**3 + 20*j**2\/3 + 8*j\/3.\nAnswer: j*(j + 1)*(j + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 7 - t**2)*(2*t - t + 0*t + (-192 - 263 - 147)*(-t + 0*t + 0*t) + (3*t + 3*t - 4*t)*(4 - 3 - 2)).\nAnswer: -601*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 5*w + 2. Let j(n) = 36*n + 15. What is 15*a(k) - 2*j(k)?\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-48)\/(-72))\/((-4)\/(-30)). Suppose 0 = 4*y + y - 4*t - 1944, -t = c*y - 1939. List the prime factors of y.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*m**4 + 66*m**3 - 180*m**4 - 64*m**2 + 90*m**4 = 0. Calculate m.\nAnswer: 0, 1, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100275028 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - 6987\/2211) + 1. Let h = t + 96\/67. What is the common denominator of -32 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 22423 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-24)\/44)*672\/1120.\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i + 133 - 133 + 7*i + 9*i.\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1034 + 1029.03. Let z = y + -0.03. Let a be -6 - ((-246)\/15 - -10). What is the third biggest value in 5, a, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + -1202?\nAnswer: -1110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/80 and -59\/21808?\nAnswer: 109040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 6*h - 2*h, -3*h - 5*k = 0. Suppose h = -3*v + 4*u - 19, -u = -v - 5*u + 15. Is -3 less than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t + 1 + 0 + 2*t. Let o = 19 + -3. Suppose 5*x + o = -3*c, 3*x + 25 = -2*x. Calculate n(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, u: 4, g: 1, c: 3, p: 2, q: 7}. What is prob of picking 2 p, 1 c, and 1 u?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - q + 49 = 0, -3*o + 61 = q + 3*q. What is the remainder when 58 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 544850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 147*a - 631. What are the prime factors of b(19)?\nAnswer: 2, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2. Let y(l) = 13*l + 6. Let z(i) = i + 1. Let r(h) = -y(h) + 6*z(h). What is a(r(x))?\nAnswer: 49*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4224 and 104336?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6095675091 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/224)\/(890\/3115).\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 6:23 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/20)\/(-2)*(-2585)\/14476.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -28*j - 3*j**2 + 66*j - 31*j + 6*j**2. Let b(z) = 8*z**2 + 20*z. Give 4*b(h) - 11*o(h).\nAnswer: -h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 809141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 256?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - (-8 - (-1 - (-7 + 14)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22520 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 3*s - 8*s. Let i(c) = -7*c. Give h(i(t)).\nAnswer: 21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -1. Let l(j) = 2*j**2 - 2*j. Let h(b) = b. Let g be h(2). Calculate the lowest common multiple of l(g) and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 246494?\nAnswer: 2, 37, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1012498 kilograms to tonnes.\nAnswer: 0.0001012498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i. Let b(y) = -5*y**2 - 15*y - 5. Let z(t) = b(t) + 4*v(t). Let n be z(-5). Suppose -2*d - 7 = -n. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**3\/3 - 7*v**2\/2 + 2*v - 186. What is b(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46 is divided by ((-123)\/12)\/(28\/(-112))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 3.29, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 35. Let p = j - 1. Suppose -p*q + 10 = -2. Solve -r + 9 = -q*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3558 by -6.\nAnswer: -593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2 = -7*f + 5*f, 8 = 2*y for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 10:33 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 118. What is the greatest common divisor of z and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4677.\nAnswer: 3, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-3))\/4*20\/50\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1690 - -1739. Calculate the remainder when f is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (45\/4 - -2)\/(39\/(-18668)). Let m = 6243 + w. Which is smaller: m or -98?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/36)\/((-1)\/2) + (-1763)\/123.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -22, 31, 9 in descending order.\nAnswer: 31, 9, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) -361\/7 (c) 0.3 (d) 0.2 (e) 0.14 (f) 4 (g) -7.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s - 1. Let y(r) = 8*r**3 + 5*r**2 - 4*r + 5. Let f(h) = 6*p(h) + y(h). Give f(-3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/411450 and 71\/1266?\nAnswer: 411450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -736*d**3*t**4 - 3*d**3*t**3 + 22099*d**3 wrt t?\nAnswer: -2944*d**3*t**3 - 9*d**3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2115, -4240, -6365, -8478, -10567, -12620?\nAnswer: -14625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 7*t = -6. Let w(s) = 2 - 6 + 2 + 4*s - s**t. Determine w(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -14*5*(-36)\/315. Suppose 3*q = -2*w + c*q + 17, -4*w + q = -43. Solve -15 = -b - w for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*6*(sqrt(1900) + 0) - (3*sqrt(2299) + -4*(sqrt(19) - (sqrt(19) + 2)) + -2))**2.\nAnswer: -1044*sqrt(19) + 143847","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (39*(-186)\/(-10881))\/(((-2)\/(-69))\/1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -0.5, 1, 25\/509, -2, 2\/21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 50833*y. Let t(q) = 2*q. Calculate t(d(f)).\nAnswer: 101666*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*p**5 - 123*p**2*t + 2487*p*t - 50*t wrt p.\nAnswer: -500*p**3 - 246*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1898204 and 48202?\nAnswer: 594137852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 12 = -x, -2*x + 2*r + 9 = 1. Suppose x = 2*a - 0*a - 4. Solve 0 = -z - a*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1891366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f - f**3 + 3*f**3 - 8*f**3 - 3*f**3 + 1. Let h(j) = -j**2 + 28*j + 7. Let u be h(28). Suppose 3 = -4*n + u, 2*b = -3*n + 1. What is l(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*j**2 + 6*j**2 + 2*j**2 - 40*j - 16*j**2 wrt j?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/23052 and 139\/69156.\nAnswer: 69156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3914311665747800623\/498855 + 7846592027242. Let c = q + 1\/47510. Find the common denominator of c and 58\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 1663, 5575, 13207, 25801, 44599, 70843, 105775?\nAnswer: 150637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*b - 124 + 8*b - 5*b**2 + 4*b.\nAnswer: -5*b**2 - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/40 + -1\/10. Let v = 1.46 - -34.54. Let t = v + -35.5. Which is the third biggest value? (a) t (b) -3 (c) z (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 108217, 108240, 108279, 108334, 108405, 108492?\n\"Answer: 8*n**2 - n + 108210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 (base 10) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 2010?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**2 + 915208*n - 104700710408 = 0.\nAnswer: 228802","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 520133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 10:41 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 4*b**4 - 95*b**2 + b**5 - 3*b**5 - 4*b**3 + 22*b**3 - 16*b - 102*b**2 + 193*b**2 = 0?\nAnswer: -2, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 0*i + 6*i - 3*i - 2*i. Suppose 4*f + 9 = -15. Let a be 25 - 30 - (f - -1*2). Let c(r) = -6*r + 1. Determine a*c(p) - 5*u(p).\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 28444 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/308*165 - (-13 - -17). Factor z*u**2 - 10\/7 - 8\/7*u.\nAnswer: 2*(u - 5)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -217054 (base 8) in base 2?\nAnswer: -10001111000101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*p + 19*p + 240 = -17*p + 42*p for p.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n. Let m = -1 + -3. Calculate the remainder when 22 is divided by i(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 - -149. Let i = l - -1. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3 = -17. Let k(n) = 6*n**2 + 3*n + n**3 + 2*n + 4*n**3 - 4 - 6*n**3. Is 23 a factor of k(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 + 473 = -3*p. Let n = -121 - p. Is n a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26469 + -26378. Suppose 0*a + 6 = a. Calculate the remainder when s is divided by a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12\/7, -1, 27\/4402, 3\/7?\nAnswer: 27\/4402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 145496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -7 - 1. Let o(j) = 3*j. Let k(m) be the second derivative of -7*m**3\/6 + 19*m. Let w(l) = -6*k(l) - 13*o(l). Give w(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 + 7*h**2 + 12*h + 23. Let z be b(-7). Let p = 177 + z. Is 21 a factor of ((-3)\/(-3))\/(4\/p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.075, -19\/4, 2, 0.2, -1?\nAnswer: -0.075","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 - 17*s**2 + 19. Let u be k(-17). Let j be (-12)\/(6\/(-2)) + 4 + -6. What is the third derivative of -u*m**2 + 5*m**4 + j - 4 + 2 wrt m?\nAnswer: 120*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29333 is divided by 14647.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/3))**(-37)\/(j**(1\/4))**(10\/13) assuming j is positive.\nAnswer: j**(-977\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19.07491 + 19.08. What is p rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l - 7*l + 3*l + (2*l - 2*l - 2*l)*(-4 + 0 + 6) - 5*l + 2*l + l + 32*l - 6*l + 3*l + (-3 + 5 - 1)*(2 - 5*l - 2) - 3*l + 3*l + 2*l.\nAnswer: 19*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 - 18. Let i(d) = 2003*d**3 - 9*d + 8. Let o be i(1). Suppose 0 = -83*y + 96*y - o. Calculate the remainder when y is divided by f.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -17\/5 (b) 0.152 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2211 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9748 is divided by 506?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 176829 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7584948 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 103d5c (base 14) to base 6\nAnswer: 15432114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -353*w**4\/2 + w**3\/3 - 14*w**2 - 2*w - 177. Find the third derivative of g(r) wrt r.\nAnswer: -4236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 254 - 229. Solve -45 - x**3 - 6*x**2 - 51 - 56 + 134 + w*x = 0.\nAnswer: -9, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 38*y - 42*y - 18 = 0, 0 = -3*j - 2*y - 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45176.37 millilitres in litres?\nAnswer: 45.17637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13881 divided by -7.\nAnswer: -1983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -41738889 at most as big as -41738888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21583*i**2 + 2*i + 582 wrt i?\nAnswer: 43166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i + 14. Let k be q(4). Suppose -4*d + 0 = -2*w - k, 0 = -5*d + 4*w - 5. Solve -2*c + 4*c = d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.56 - 0.26. Let f = -1.3 + g. Sort 0.2, f, -1\/5, -0.5 in decreasing order.\nAnswer: f, 0.2, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5*c - 30. Let d be y(9). Suppose -10*m = -d*m + 1225. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - (0 + (1 - 54)). Suppose 0 = -4*z + 5*k + 215, 3*z - 11 = 5*k + 144. Suppose 8*v + 2*v = z. What is the highest common divisor of v and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (7 - -1) + 0\/(-18). Calculate the highest common divisor of 56 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -500 + 499.586. Let y = -0.41452 - h. What is y rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8565 + 8559. Let s(y) = -y**3 - 6*y**2 - y - 14. What is s(r)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -189 + 182. Is (10*b\/(-70))\/(2\/6754) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.9 - 2.4. Let p = -32 + t. Let j = p - -22. What is the closest to -0.1 in -4\/5, j, 4\/9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - v**3 + 0*v**3 + (5 - 5 + v**3)*(1 + 2 - 2) + 9*v**3 - 6*v**3 + 9*v**3 - 28*v**2 - 9*v**3 + 28*v**2.\nAnswer: 6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1644390695 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a millennium in months?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/1907, 0, -159?\nAnswer: -159","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-1))\/((1008\/147)\/(-48))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*m**2 + m**3 - 1 + 2 - 2 - 3*m**4 to h*m + z*m**2 + l*m**4 + k*m**3 + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8 - 2 + 4)*(4*y - 2*y - 3*y) + 0*y + y + 0*y + (-3 + 0 + 1)*(y + y - y) to d + l*y and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2452690 to the power of 1\/2, to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3878276 to 3 decimal places.\nAnswer: 0.388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u - 2*u + 5*u)*(-u**2 + 0*u**2 + 8*u**2).\nAnswer: -21*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1276 and 1856?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.01 (b) 10 (c) -4\/139 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (22\/10)\/(70\/(-25) - -3). Solve -23 = g - 4*t, s*t - 25 = 6*t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -204368 greater than -204375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 2*u**2 - 2*u + 6. Let w be d(-4). Suppose 0 = -6*t + 80 + w. Calculate the remainder when 124 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 40*j - 199. Let d be v(5). Put -36, d, 0 in decreasing order.\nAnswer: d, 0, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**3 - 9*i**2 - 8*i - 11. Let n(b) = -6*b**3 - 46*b**2 - 40*b - 56. Let d(u) = 2*n(u) - 11*q(u). Determine d(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 5*l - 3. Let k = 41 - 10. Suppose -5*n - k = 2*a, 3*n + 9 = -6. What is the least common multiple of 2 and f(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - 0. Let o = p - -1. Which is the closest to o? (a) 4\/7 (b) -2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 + 166*k**3 - 1916*k**2 + 6792*k - 5040.\nAnswer: -2*(k - 70)*(k - 6)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20011110022 (base 3) to base 12\nAnswer: 5a282","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 80247000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**3 + 2*q**3 - 662836704537329*q + 662836704537329*q.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 35. Sort s, -5, 0.\nAnswer: -5, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and -4 + -1 + 6 + (3 - -1)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -730 + 725. Let o = 380 + -374. What is the biggest value in o, b, -1, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 13, y: 4, q: 3}. Give prob of picking 2 x.\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 637995 (base 13) to base 3.\nAnswer: 11101101210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21*53\/(-13674)*(33\/(-21) - -1)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-40)\/12)\/((-3)\/(-9)*-2). Calculate the highest common factor of u and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6, 19, 90, 231, 466?\n\"Answer: 4*b**3 - b**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r + 3*r - r)*(4 - 3 + 1) - 3*r + r + r + (2 - 2 + 2)*(-2 - 2*r + 2).\nAnswer: -9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 696208 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4131 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -3, 23.6, -14, 0.5, -1, -0.04, -5\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 15*w - 12*w + 11, 5*w - 3*v = -11. Let b be w*126\/(-6) + -3. Calculate the highest common divisor of 279 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -5 (b) -0.2 (c) -1693 (d) -1\/4 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2835 and 72?\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - a. Let q(w) = -3*w**2 - 2*w. Let b(j) = -2*i(j) + q(j). Let k(d) be the third derivative of 41*d**4\/24 + 350*d**2 + d. What is b(k(c))?\nAnswer: -1681*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 722.9952ml in litres?\nAnswer: 0.7229952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 69833?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.35 - 25463.00514.\nAnswer: -25461.65514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**0)\/n)\/(n*n\/n**(-1\/27)))\/(((n\/(n*n**15*n))\/n)\/((n*(n**(-2\/29)*n*n*n*n)\/n)\/n)) assuming n is positive.\nAnswer: n**(14011\/783)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*s + 35*s = -5*n + 8239, -4*s = -3*n + 4937. What is the hundreds digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-1030.064.\nAnswer: 1030.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370754 (base 8) to base 13.\nAnswer: 46033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 1 = k - 1, -2 = -4*k + 2*v. Let h(j) = j - 8 - 1 + k*j. Let s = 12 - 6. Give h(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2785086 is divided by 214195.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 30 = -4*x, n - 5*x + 24 + 8 = 0. Suppose 0 = 3*c + 20 + 19. Let r = n - c. Put -1, r, -4 in decreasing order.\nAnswer: -1, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-2 - -7) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-3) - (-40)\/(-42). Suppose -1093*i + 16 = 8 + 8. Put s, 2.4, -0.4, i in descending order.\nAnswer: 2.4, i, s, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1775904 + 2975908. Suppose 0*c + 2*c = 4*r + 799996, 3*c + 4*r - x = 0. What is c rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8592776917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18014c (base 13) to base 15.\nAnswer: bcbae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - 5 - 7. Suppose -5*f = -k*f - 150. Let i = -34 + f. What is the remainder when 79 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 5*y - 44 = -4, -5*y = -2*u - 40 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 619\/68 - 176\/17. Sort -2\/3, -228, d in descending order.\nAnswer: -2\/3, d, -228","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-3*p**2 + 3*p**2 + 5*p**2) - 2*p - 2*p**2 - p**2 - 14*p**2.\nAnswer: -12*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 132225, 264483, 396741, 528999?\nAnswer: 661257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.2 (b) 862 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 30, 3, 1, 4 in increasing order.\nAnswer: 1, 3, 4, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*q - 260*q + 1514 = -871. Calculate the lowest common multiple of q and 19.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2 + 2 - o. Let t(y) = 2*y + 1. Let h be (-3)\/((3 - -3)\/6). Calculate h*i(c) - t(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + k - 8, 2*k - 20 = -5*l - k. Which is the smallest value? (a) l (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 9*s**3 - 2*s - 1. Let v(l) = -2*l**2 - 3*l - 2. Let w be v(-1). Determine g(w).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/12, -580, -2\/837.\nAnswer: -580, -1\/12, -2\/837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 67914706 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -5. Suppose -3*q + h*z = -36, 2*q + z = 6*q - 48. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 414 + -405. Sort 0.09, y, 0.2 in decreasing order.\nAnswer: y, 0.2, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = 377 - 1400. Let x = 367 + u. Let r = 32 + -7. Which is bigger: r or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**4 - 67*r + 20 + 69*r + 0*r**4 as v*r**4 + m*r**3 + b + u*r + h*r**2 and give b.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63*1\/3*200\/300.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -601*w**2 - 80 - 3*w - 579*w**2 + 1180*w**2 - 16*w**4 + w with respect to w.\nAnswer: -64*w**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-7 + (5 - -2 - 0)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -8*o + 10. Solve -5*p = 12 - o for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - (78 - (38 + -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(3*sqrt(85) - sqrt(85)))\/(sqrt(60)\/sqrt(432)))**2.\nAnswer: 61200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.9 - 5.9. Let y = 384 + -383.7. What is the nearest to 0.2 in y, -4, s, 7?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 - -23. Let b = s + 49.9. Let i = b + -48.49. Round i to one dp.\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -63 - 3215?\nAnswer: -3278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 262288\/220693495 + -2\/129439. Let l = 6806\/11935 + a. Determine x, given that -24\/7 + 52\/7*x - 32\/7*x**2 + l*x**3 = 0.\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10770 is divided by 2689?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-60)\/390)\/((-6)\/(-156)). Sort -2, 4, 155, -1, t.\nAnswer: t, -2, -1, 4, 155","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2800 and 252.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = -2*d, -4*k + 8*k = 5*d - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -458.4 + 459. Which is the closest to 1? (a) 0.1 (b) -0.2 (c) -4 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23\/7, 4, -3\/4, -71?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1403 + 2040231?\nAnswer: 2034424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = 26*l - 154 + 35 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1214 = 3*f - 12900, 5*f = -4*q + 23535. What is the remainder when f is divided by 112?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - (-8 + 428\/76) - 6. Which is smaller: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/2262 and 73\/2262.\nAnswer: 2262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7934669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of ((80\/(-3))\/4 + -4)*(-207843)\/116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -880305000 to the nearest one million.\nAnswer: -880000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) + 2*sqrt(425) - sqrt(425)) + -1 + sqrt(425) + 1 + sqrt(425) + -5)**2*6.\nAnswer: -1200*sqrt(17) + 40950","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -152*c - 16 + 139*c + 16. Suppose -3 = -6*g + 3*g. Let r = g + 0. Calculate h(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14*m**4 - 6*m**3 - m + 35564?\nAnswer: -56*m**3 - 18*m**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 4:59 PM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 3, o: 3}. Give prob of sequence ff.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -472188\/139 + 3397. Is -1 >= h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/3 + 41\/3. What is the units digit of s - (3 - 2) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away 74523482874?\nAnswer: -74523482873.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91088\/11 or -8282?\nAnswer: -8282","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2255501.67 rounded to the nearest one hundred?\nAnswer: -2255500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-4)*(-2)\/(-3). Let v = -13 + g. Let n = v - -24. Solve 5*b + 0*b + 2*s + 21 = 0, -2*b + s = n for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 709167 and 291?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**5 - 543*f**4 + 23745*f**3 + 74523*f**2 + 75624*f + 25392.\nAnswer: 3*(f - 92)**2*(f + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.15 + 0.15. Let r = 13 + -64\/5. What is the third smallest value in m, -1\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.37 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z - 1. Let l(u) = u**2 + 3*u - 5. Let m be l(-4). Let n(w) = w + 17. Let g be n(-20). Let f(t) = -4*t + 2. Calculate g*d(q) + m*f(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2214\/7 + 49051\/154. Find the common denominator of x and 4 + 8 + ((-49)\/245)\/((-2)\/(-95)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**2 + 41*c + 44*c - 8*c**2 - 133*c + 48*c.\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 454, 915, 1382, 1855, 2334?\nAnswer: 2819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.06, 0.0383, 1, -4\/3, -0.5.\nAnswer: -4\/3, -0.5, -0.06, 0.0383, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1127\/1790?\nAnswer: -1127\/1790","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6\/2867 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 - 20 - (0 - 1 - -28). Is (-9722)\/(-4)*(m + 35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 562551.9 rounded to the nearest one thousand?\nAnswer: 563000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16346\/(-25564) + (-3213)\/(-4998))\/(1 - (-22)\/(-14)).\nAnswer: -1\/166","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8442 and 3618?\nAnswer: 25326","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -671 - -1022. Does 27 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**6 + 73*i**5 - 2572*i**3*n - 6*i**2 - 4*i*n - 374*n - 4 wrt i.\nAnswer: 360*i**3 + 4380*i**2 - 15432*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -224307 + 24307. Round m to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43011043, -43011039, -43011033, -43011025, -43011015?\n\"Answer: u**2 + u - 43011045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 3*h + 25 = 17, 4*s + 5*h = -1 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115 = 4*g - 5*d, -112 = -2*g - 2*g + 4*d. Let m = -261 + 1. Find the common denominator of (g*(-1)\/(-32))\/(39\/m) and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h - 3*h + 3*h - 2*h. Let k(l) = 4*l - 2*l + 5*l - 3*l. Give r(k(g)).\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2529.011 + -2547.6. Let g = q - -18.5. Let u = g + 0.08901296. What is u rounded to six dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - 3*w**4 + (23 - 40 - 60)*(0 + 0 + 3*w**2)*(1 + 2*w**2 - 1).\nAnswer: -465*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 3 (b) 0.3 (c) 3\/7 (d) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 296 by -4.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from okknkmhqnnqhnhkkoohq.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/3, -2\/3, 4, 0.02?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 0*u + 0*u + 5 + u. Suppose 7*j = 2*j - 35. Give p(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 57234347?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f**4 - 2*f**4 - 2*f**4 + 2*f**3)*((2*f - 4*f + 0*f)*(-1 - 2 + 1) + 6*f - 2*f - 3*f - 1 + 1 - 2*f).\nAnswer: 6*f**5 + 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1923 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 216625935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7150?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -169*j**3 + 2*j**2 + 30*j + 55. Let x(f) = -f**3 - 5*f + 1. Let n(d) = p(d) + 6*x(d). Find the third derivative of n(v) wrt v.\nAnswer: -1050","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12388212, 12388216, 12388222, 12388230?\n\"Answer: n**2 + n + 12388210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374545, 374536, 374519, 374494?\nAnswer: 374461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 11*o**2 + 16*o + 7. Let v(y) = y**2 - 4. Let c be v(4). Let w be p(c). Calculate the greatest common divisor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 194 - 162. Put 3, 5, n, 1 in ascending order.\nAnswer: 1, 3, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -254? (a) 0 (b) -0.8 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08 + -0.031.\nAnswer: -0.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 4*i**2 - 82*i - 1132. Give m(30).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 3 = -m, 3 = -96*m + 98*m + q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11692, 11694, 11698, 11704, 11712?\nAnswer: 11722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f. Let b(i) be the third derivative of -3*i**5\/20 + 3*i**2. Determine k(b(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 6*i**2 - 264*i + 5. Let m(w) = 4321*w. Give x(m(b)).\nAnswer: 112026246*b**2 - 1140744*b + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 420 = -3543*d - 3546*d + 7069*d for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -4*c**2. Let a(t) = 2*t**2 + 0*t**2 - 2*t + t + 11 - 12. Let h(o) = -19*o**2 + 6*o + 6. Let m(z) = -30*a(z) - 5*h(z). Calculate w(m(v)).\nAnswer: -4900*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 65923.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -4*i - 26, -6*o + 3*o + 2*i = -14. Suppose j + 42 = -o*j. Let p(m) = -m**2 - 1. Let t(r) = 8*r**2 + 7. Determine j*p(x) - 2*t(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 0) + 0 + 5 + (-32 - -21)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pdiq when four letters picked without replacement from {p: 5, g: 5, q: 2, i: 1, k: 1, d: 2}?\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 744 and 2325.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25943*o - 2*o**3 + 25943*o.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610 = 15*g + 100. Suppose 5*p + 3*s - 90 = 0, -90 = 2*p - 7*p - 5*s. Calculate the smallest common multiple of p and g.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 - 14428*t**2 + 86740*t + 101164.\nAnswer: -4*(t - 7)*(t + 1)*(t + 3613)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8728, -16786, -24844, -32902?\n\"Answer: -8058*w - 670","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2124*g**3 - 95*g**3 - 288*g**3)*(-6*g - 4*g + 4*g - 9*g) in the form v*g**2 + m + c*g + q*g**3 + u*g**4 and give u.\nAnswer: -26115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 54 = 7*k - 4*k, -q = 3*k - 46. Suppose -2*a = 5*f - 6, 2*a + 4*f - 13 = -5. Let w(y) = k + a*y - 14. Let s(t) = -2*t. What is w(s(u))?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1101101011111010 (base 2) to base 12\nAnswer: -28536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13804678 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-15)\/(-30) - (-4)\/(-2). Let t = -6.98 - 0.02. Let j = t - -8. Sort j, -0.2, w in ascending order.\nAnswer: w, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6*1*(-27)\/(-6). Let n be 2\/(-9) + 222\/d. Solve 5*h - 4*p + 7 = 0, -4*h - 5*p + n = -11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**2 + s**2 + 2*s - s**2 - 4 - 4*s = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a. What is the remainder when 22 is divided by y(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12341 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*k**2 - 21*k**2 - 21*k**2 - 30*k**2 + 86*k**2.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 7*m**3\/6 + 3*m**2\/2 + 3*m. Let h(d) = 6*d + 3. Let n(r) = -6*h(r) + 5*i(r). What is the units digit of n(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g - 2*g - 3*g to z + v*g and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*g**3 - 883*f*g**2 - f - 2*g**3 - 6*g**2 + 144*g with respect to f.\nAnswer: -g**3 - 883*g**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 47489745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-16)\/10)\/((-4)\/10). Suppose 0*o - g = -2*o, -o = -4*c + 18. Suppose -5*l + c*s + 10 = 0, 3*l - 8 = 2*s - s. Solve 2*j + 3 = -l for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*z + 18*z**2 + 115*z**2 + 38*z**2 + 29*z.\nAnswer: 171*z**2 + 201*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 11 - 27. Let y = -14 + f. Suppose 3*a + w = 7, -y*a - 4*w + 23 = -8*w. Solve -a*q + 0*q + 20 = 2*v, 8 = 5*q - 3*v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 122.5713 weeks?\nAnswer: 74131122240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143098, 572378, 1287842, 2289490?\nAnswer: 3577322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -16*h + 60*h + 4690*h**2 - 44*h + 2882*h**2. Let u(a) = -a. Give k(u(t)).\nAnswer: 7572*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(133)*5)\/(sqrt(28)\/(sqrt(20)\/sqrt(5))).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 1 - 0. Let i be 5\/(-7) - h - 0. Is i smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277158327?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8764\/4508 + -2 - 6\/(-42)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -281*i**2*j**2 - 563*i*j**2 wrt i?\nAnswer: -562*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18864, 37717, 56570, 75423?\nAnswer: 94276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19 + -14. Solve q = 6*q - d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-6)\/(-14))\/((-204)\/(-33796)). Solve 0 = 4*g - y + 63 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446 + 86.\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 12\/7 (b) 2.698104 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (-2)\/(-7) + 6*112\/(-294). What is the smallest value in -5, w, 238?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 267742254 to the nearest integer?\nAnswer: 16363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 24998 divided by 53\nAnswer: 24998\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**6\/3 + 329*y**5\/5 + 1433*y**3\/3 - 186. Find the third derivative of c(r) wrt r.\nAnswer: -120*r**2 + 7896*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = 20, 78*v + 3*d + 0*d = 79*v + 38 for v.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = 3*b + 6, -x = -b - 1 - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2059 + 7369 = -194*n - 9628 for n.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (520\/110)\/(21\/((-4620)\/40))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Let i(z) = -z - 1. Let l(n) = n**2 - 9*n - 2. Let p be ((-15)\/(-6))\/(1\/2). Let q be l(p). Let s(k) = -12*k - 11. Give h*s(o) + q*i(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4258854 divided by -10\nAnswer: -2129427\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114102299*q**3 + 28120582*q**2.\nAnswer: 684613794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (0 + 7)*2\/(-4) and (-585)\/120 - (-5 + -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 8:40 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -693, -1287, -1879, -2469, -3057, -3643, -4227?\n\"Answer: i**2 - 597*i - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1595)\/638*(880937\/(-5) - 1) 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 10:50 AM and 6:58 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*l - 584*k + 587*k = 80, -2*l - 20 = -4*k for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 1 (c) -0.2 (d) 4\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -18*q - 21. Let g be b(-5). Let m = -18 + g. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.680073kg to milligrams.\nAnswer: 1680073","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-5))\/8*(-2)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35 - -3 - -6) + (-1 - 5 - (-4 - 0))?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) + (-84)\/(-24). Let f(s) = 243 - 9*s - 242 + 76*s**3 + 9*s. Is f(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8785091\/2 + 2899085033\/660. Let y = -112\/15 + z. Find the common denominator of 43\/12 and y.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (20\/(-5) + -2). Let s(t) = -4*t**3 + t**2 + 5. Let z(x) = -x**3 + x**2 + 1. Determine g*z(i) - s(i).\nAnswer: i**3 + 2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29, 70, 111?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 + 85. Let m be -2 - z\/(-6) - 7\/4. Is m less than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1098, 2010, 2922, 3834, 4746?\nAnswer: 5658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 4*q = 102, 0 = -6*q + 59 - 209 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14171 is divided by 13919.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20695781 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -3946?\nAnswer: 5\/1973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 204301 + 1?\nAnswer: 204302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18) + sqrt(18) + -2)**2*-6*2.\nAnswer: -912 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 388 + -385. Suppose z*p - 4*p = -x + 709, 2846 = 4*x + p. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 129791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*i**2 + 1)*(-i + 341 - i - 293).\nAnswer: 6*i**3 - 144*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*x**2 - 43*x**2 + 266*x**2 + 3943*x - 3943*x to o*x**2 + r*x + w and give o.\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 359560899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1075 is divided by 38.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4884 is divided by 36?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2142 - -42.\nAnswer: 41.7858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 11. Let w = -17 - -19. Suppose -14 - b = -w*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 5*x**2 + 6*x + 7. Let h(z) = 2*z + 1. What is 2*g(f) - 11*h(f)?\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (((-33592)\/408)\/247)\/((-1)\/(-360)*-2)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1022.64 < -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11726*x = 11723*x - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -34*k**2 - 10*k - 18. Let s be o(-4). Calculate the lowest common multiple of s\/(-33) + 10\/55 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13752483*x**3 + 19456*x**2 wrt x.\nAnswer: -82514898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 p, and 1 a when three letters picked without replacement from pnanpgn.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -138*r**2 + 15*r**2 + 72*r**2 - 3*r**6 + 19*r**5 wrt r?\nAnswer: -360*r**3 + 1140*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-6))\/(-4*(-5)\/(-45))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7\/3 or 12863154?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 3*o + 26 = 0, 456*v + 4*o - 31 = 459*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 5*q**6\/6 + q**5 - 5*q**4 + 5*q - 23. Factor v(a).\nAnswer: 5*a**2*(a + 2)*(5*a - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (212\/1855 - 2\/(-20)) + 4887\/126.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*f + 144 = -67*f. Let l(x) = 6*x**2 + 48*x - 1. What is l(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**21)\/((f*f\/f**(-19))\/f))\/(((f\/((f**(1\/2)*f)\/f*f))\/f*f)\/(f\/f**(2\/15))) assuming f is positive.\nAnswer: f**(101\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1201220222 (base 3) to base 11.\nAnswer: -23779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*b**2*m**3*y**2 + 671*b**2*m*y**4 + b**2*m*y**2 - 5*b**2 - 7*b*m**3 - 11*m**3*y**4 wrt y.\nAnswer: 16104*b**2*m*y - 264*m**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -60432 in 4, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n**2 + 227*n - 468. Determine f(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(112)*-2 + 4)*1 + 1 + -2*sqrt(112) + 5)*1)**2.\nAnswer: -8000*sqrt(7) + 47300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5599 - 2*k + k - 4066.\nAnswer: -k - 9665","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 35.3 + -34. Let o = c + -0.2. Let r = o - -2.9. What is the second biggest value in r, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/6 (b) -0.2 (c) -3\/17 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*(-3 + -2*sqrt(192) - (sqrt(192) - (sqrt(192)*-1 + 5) - sqrt(192))) + (sqrt(192)*-2*-5 - (sqrt(192) - (2 + (sqrt(192) - (sqrt(192) + -2)))))))**2.\nAnswer: 384*sqrt(3) + 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 23969 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30 is divided by 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 108592492*i**4*m**3 - 4*i**2*m**3 - 3*i**2*m**2 + i**2 - i*m**3 - 5413*i + 5*m**2 wrt i?\nAnswer: 2606219808*i*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592720656 divided by 472664.\nAnswer: -1254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((-5 + sqrt(33)\/sqrt(3) - (sqrt(44)*-2)\/sqrt(4)) + sqrt(88)\/(sqrt(16)\/sqrt(2)) + sqrt(99) + (sqrt(99) + 0)**2).\nAnswer: 21*sqrt(11) + 282","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n**3 + 3*n - 3*n + 9*n**2 - 10*n**2 - 3 to a + x*n**2 + u*n + g*n**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9740 + 17140. What are the prime factors of v?\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(9\/5)*l*l**(-5\/3)\/l*l*l)**(-2) assuming l is positive.\nAnswer: l**(14\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3218.895 kilometers in centimeters?\nAnswer: 321889500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/19)\/(j**(-3\/4)*j))**38\/(((j*j**7)\/(j\/(j\/((j*j**(-3\/7)*j)\/j))))\/(j**(-1\/6)\/j**8)) assuming j is positive.\nAnswer: j**(-443\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (108\/21)\/(1\/7). Suppose 0 = -2*i + t - 8. Calculate the greatest common factor of 98 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1584132260 rounded to the nearest one million?\nAnswer: -1584000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/((-2)\/10*-2). Suppose 0 = l + 2, -3*l = -d*i + 41. Suppose w = -j + 1 + 2, j + i = 4*w. Calculate the least common multiple of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3563*-0.4\nAnswer: 1425.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 1744848?\nAnswer: 6979392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -5*g**3 + g**2. Suppose 2*f = 5*f - 3. Let x be p(f). Let h = x - -5. Solve 3*y - 2*y + h = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 1 - 5)*(-5*c**2 - c**2 - 10*c**2) + 5*c**2 + 0 - 1 - 4*c**2 + c.\nAnswer: -31*c**2 + c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3820, -8503, -13200, -17917, -22660, -27435, -32248?\n\"Answer: -h**3 - h**2 - 4673*h + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 + 21*n**2 - 19*n - 54. Let i be z(-16). Let w = 2165 - i. What is the hundreds digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 30\/8 + (-1)\/(-4). Suppose 0 = -4*z + 138 + 186. Suppose 3*i = -2*g - 0*i + 39, -m*g + z = 5*i. Is 6 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 + 2*u - 5. Let o be l(-4). Suppose -2\/5*x**4 + 0*x**o + 4\/5*x**2 - 2\/5 + 0*x = 0. What is x?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 167884\/31 or 5415?\nAnswer: 5415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107 - -107.000015. What is i rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/24 and 17\/10671192.\nAnswer: 10671192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 17. Suppose 5 = 2*z - w. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z**2 + 3056*z + 18435. Calculate g(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*s + l - 13, -s - 10 = -4*l. What is the second derivative of -y - 4*y**s + 5*y**2 + 0*y**2 - y wrt y?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 11*u - 13. Let n be y(9). Suppose -5*t = -4*m + 2*m - 34, -2*m + 46 = n*t. Calculate the remainder when 86 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 - 28. Suppose -2*z = -5*h + 64 + y, -5*h + 5*z + 90 = 0. Suppose -5*i + h + 69 = 0. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.2 - 2.09. Let t = q - 5.11. Let k = 18534.5 + -18530.5. Which is the closest to 8? (a) 0.3 (b) k (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*b - 2. Suppose b*h + 7 = -5. Let d(z) = -z**3 - 2*z**2 + 3*z + 3. Give d(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13524.762 months in years?\nAnswer: 1127.0635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2509.3? (a) 5\/9 (b) -0.1 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-34)\/(-6) - (-4)\/(-6). Suppose -70 = -4*a - 2*w, -2*w = -g*a - 0*w + 101. Suppose -5 = -3*v + a. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of x**2 - 18. Let m(g) = -13*g. Give m(j(q)).\nAnswer: -26*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2415\/1890*3*4\/138.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/13 + 11751154*d\/13 - 23502300\/13.\nAnswer: -2*(d - 5875575)*(d - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 3209133?\nAnswer: -8\/1069711","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 100719*d*h**3 + 57*d*h**2 - 193922543*h**3 wrt d?\nAnswer: 100719*h**3 + 57*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 8 = -4*i, 3*j + 6 = -2*i + 5*j. What is the least common multiple of 1425\/60 - (-2*i)\/8 and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -47231, -96782, -146333, -195884, -245435, -294986?\n\"Answer: -49551*j + 2320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 257 = 3*y, -y - 2*r + 81 = 2*r. Let l be (-1156)\/y + 2\/(-5). Let w be (-35)\/l + (-1)\/2. Solve -x = -1 + w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 22\/(-6) - 20000\/(-48). What is the highest common divisor of 177 and c?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbxd when four letters picked without replacement from {x: 5, b: 11, d: 1}.\nAnswer: 55\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 146 - 103. Does 12 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o)**(-1\/20)*(o*o*o**(-2\/17))\/(o\/(o*o*o*o\/o**(1\/20))) assuming o is positive.\nAnswer: o**(83\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1 + sqrt(475)) - (3 + sqrt(475)*-1 - sqrt(475)))*3)**2 + -1 + 6*(4 + (sqrt(475) - (sqrt(475)*-1 - sqrt(475))))**2.\nAnswer: 2880*sqrt(19) + 299426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6712 is divided by 1129.\nAnswer: 1067","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 - 10*q - 55. Let t be z(10). What is the highest common factor of t and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a58434 (base 12) in base 14?\nAnswer: 4bbc24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:50 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94010 is divided by 364?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-3)\/(q**(-2\/9))**(2\/19)*((q**(1\/8)*q*q)\/q*q)\/q**(-1\/4)*q*q**0*q*q\/q**(1\/4) assuming q is positive.\nAnswer: q**(2939\/1368)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 2*w**2 - 16*w + 7. Let t be a(12). Let r = -5898 - -30008\/5. Let l = r - t. Is l less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1143231 (base 5) to base 8.\nAnswer: -52273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5122631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3716 - 8220. Let d be s\/(-18) + 3 - (-8)\/(-36). What is the greatest common divisor of 33 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3599\/6 at least -600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, f: 2, w: 5}. Give prob of sequence fw.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -59373.416 rounded to the nearest 10?\nAnswer: -59370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/4)\/((j\/(j*j*j*j**(6\/5)*j*j))\/j*j))\/((j**4\/j*j)\/j**(-4\/7)) assuming j is positive.\nAnswer: j**(123\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + c - c)*(0 + 5 - 2) + 3*c**2 - 2*c**2 - 5*c**2 + c - c - c**2 - 2*c**2 + 0*c**2 + c**2 + 0*c**2 - 3*c**2 - c**2 + 14*c**2 + 9*c**2 + 2*c**2.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 231 = 5*g - 2166, z - 603 = -2*g. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 3*t - t)*(-8 + 8 + 13*t) + 4*t**2 - t**2 - 5*t**2.\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102\/7 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 9*g - 14. Let t be h(-7). Let f(n) = -2*n + 157 + 2*n + n. Is f(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 17, b: 2}. What is prob of sequence jbjb?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 3*k**2 - 2*k - 7. Let w be g(5). Let a = w - 2. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p = -48*p - 112. What is the greatest common divisor of 24 and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 0 + 1 - 1. Suppose 16 = 6*p - 38. What is the highest common divisor of k and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kobbpkb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/32841 and 27\/7298.\nAnswer: 65682","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -42440341 (base 6) to base 7\nAnswer: -13422535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 8, j: 2, z: 8}. Give prob of sequence tj.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6 (b) -1 (c) 3 (d) 2\/393\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {c: 5, l: 1, w: 1, e: 4, s: 4}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*w = -21*w + 2248. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4558 = 51*r + 5119 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2843 + 3041 = -22*u for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c**2 - c - 3*c**3 + 3*c**3 - c**4 + (5 - 4 - 2)*(2*c**4 + c - c).\nAnswer: -3*c**4 - 2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/192*8*6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25092 = -931*v + 914*v. Calculate the greatest common divisor of v and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203 = -115*b + 86*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 28 - 24 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 1:10 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2415.\nAnswer: 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the third derivative of -77*x**5\/30 + 929*x**3\/6 - 1145*x**2. Differentiate w(n) with respect to n.\nAnswer: -308*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 125*s**4 + 2370*s**3 - 37720*s**2 - 38370*s + 1595 = 0.\nAnswer: -29, -1, 1\/25, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 2 = 4*l. Let n = l + -2. Let t be (-5)\/((-3)\/(-6) + n). Calculate the highest common divisor of 70 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(1 + sqrt(567)) - sqrt(567))**2 + -1 - (1 + (sqrt(567) - sqrt(567)*-3)**2)*6) + 1.\nAnswer: -26619 + 756*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1628524 and 1212.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -183 less than or equal to -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mppppmpm.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2131 (base 4) to base 5.\nAnswer: -1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 473?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 281 - 92 = w, -4*a = -3*w + 567. Calculate the least common multiple of w and 81.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 21*x**2 + 22*x**2 + 2 + 2*x)*(-26*x**3 - 2362*x + 2362*x).\nAnswer: -26*x**5 - 52*x**4 - 390*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1082936464*l**4\/3 + 70390672712*l**3\/3 + 99634432725*l**2 + 18165411*l + 828 = 0. What is l?\nAnswer: -4, -3\/32908, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - 8*z = 666. Is 10 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -9*d**4 - d**3 - 5*d + 1. Let j(p) = -p**3 - p + 1. Let u(a) = -j(a) + t(a). Find the second derivative of u(b) wrt b.\nAnswer: -108*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9390\/(-2817)*1\/(-115).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 955300 and 100.\nAnswer: 955300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1456931270 a multiple of 485?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 249*u**2 - u + 486*u**2 - 2*u as l*u**2 + x + q*u and give l.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:08 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 5*t = -8*b + 414580, -4*b - 3*t - 552812 = 0. Round b to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -z + 18. Suppose -n + 15 = -z*n. Let i(l) = -l**3 - 2*l**2 - 3*l - 3. What is the units digit of i(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4278, 8543, 12806, 17067?\nAnswer: 21326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 60 and 490.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 2*r = t + 6, 5*t - 26355*r = -26360*r + 10 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 - 9*g + 3. Suppose 272 = 6*w - 118. Let h = 63 - w. Let q(l) = l**2 - 4*l + 1. Give h*t(v) + 5*q(v).\nAnswer: v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -30 + 8*v**2 + 27 + 1 - 13*v as o*v + h + a*v**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrrd when four letters picked without replacement from {d: 1, r: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -725758038 divided by -241919346.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*o - 4457 = -3225 for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 6*i**3 - i**2 + 2*i + 9. Let t(r) = 7*r**3 + 2*r + 10. Let v(o) = 6*p(o) - 5*t(o). Determine v(4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {l: 5, h: 3, i: 4}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2741 is divided by 233?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -308*b**3 + 1. Let d(f) = 303*f**3 + 1. Determine 4*d(c) + 3*k(c).\nAnswer: 288*c**3 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -236*w**4 - 5*w**3 - 5*w**2 + 178. Let a(b) = 235*b**4 + 6*b**3 + 6*b**2 - 177. Let d(f) = -5*a(f) - 6*p(f). Differentiate d(o) wrt o.\nAnswer: 964*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - v + 0*v + 0*v in the form y + n*v and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -1, 0.31, -3?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 and 213\/112*(116\/(-12) - -9).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 5*p**3 + 153110*p**2 - 20*p - 612440 = 0.\nAnswer: -30622, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2*k - 17, 2*k - 4*k = 10. Suppose 3*b + 4*y = -b + 12, 0 = -2*b - 3*y + 8. Calculate the lowest common multiple of b and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 2. Let z = -4 + g. Let s = 1 - 5. What is the third smallest value in -2, z, s?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23000975017 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + b**2 + b + 3. Let d(k) = k - 9. Let n be d(10). Let g = 5 - n. Is o(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3514\/(-30) + 38\/285. Let j = i + 119. Let q = 24 - 29. What is the second biggest value in 1, j, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) 12.6 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 123*q**2 + 2912*q - 340379. Give t(122).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 2740464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*((-11)\/(-87))\/(-11)*-3.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 5*o**2 + 3*o - 1. Let t(p) = -p**2 + p + 6. Let g be t(-3). Let v(j) = j**2 + 9*j + 13. Let l be v(g). Give h(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 2*o + 41 = 0, 3*q - 67*o + 69*o = -31 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(99)*-3 + -1 + -2.\nAnswer: -9*sqrt(11) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1044 and 827196.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3 + sqrt(1700))**2 - (sqrt(17) + (sqrt(17) + 3*sqrt(68)\/sqrt(4))**2)).\nAnswer: -2874 - 118*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8 + (-9 - 10\/(-4)). Which is the third biggest value? (a) 1\/4 (b) -182\/5 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 40*v**2 - 483*v - 39. Give o(12).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - f + 1. Let k be 2\/(-6)*(10 + -7). Let y be 32\/(-8) + (-3)\/k. Let s(u) = -8*u + 3*u**2 + 2*u + 2*u**2 + 6. What is y*s(p) + 6*w(p)?\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 16841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 82434 - 33334. What is the tens digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/4*3\/(-6)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 104030000 to the nearest one million.\nAnswer: 104000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyhwk. What is prob of sequence yw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(208) - (sqrt(156) + 1*sqrt(156))\/sqrt(12).\nAnswer: -1 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-2 - (17 + 5)*2. Let n = 50 + v. Is 9 a factor of ((-4)\/n - -62) + 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + 5*sqrt(27)*-2).\nAnswer: -30*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a40 + -1?\nAnswer: -a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 14820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 2\/7, 2\/9, 4, 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 5*n + 19. Determine d(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144 = -26*f - 92 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -62, 1\/81, -2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15815749 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68444, -73646, -78840, -84020, -89180, -94314?\nAnswer: -99416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -71, -91, -111, -131, -151?\nAnswer: -171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(0*d**3 + 0*d**3 - d**3) + d**3 - 4*d**3 + d**3 + d**3 + 2*d + 0*d + 2*d**3.\nAnswer: -d**3 + 2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 643169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/10612?\nAnswer: -3\/10612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 47231.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(1\/4))**(-11\/3)\/((l\/(l*l*l**(-2\/3)))\/l*l)**(-12\/11) assuming l is positive.\nAnswer: l**(-137\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/34)\/((-60)\/8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -1\/6*y**4 + 0*y**2 - 3 + 1\/2*y**3 - 3*y. Let f(j) be the first derivative of o(j). Find the second derivative of f(c) wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*q = 31*q - 3*f - 3, 4*f = 2*q - 22 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -165 - -1023587?\nAnswer: 1023422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 17, e: 1}. Give prob of sequence ddd.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8.3 + -8. Let f be ((-10)\/6)\/((-1)\/6). Let x be (12\/f)\/(-2) - -1. Put -2\/13, x, p in increasing order.\nAnswer: -2\/13, p, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1436190 divided by -2\nAnswer: 718095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/((-33)\/20) + -1 + -3?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y = -37*y. Let p(f) be the second derivative of 0*f**2 - 1\/15*f**6 + 1\/3*f**4 - 1\/10*f**5 + y + 0*f**3 - 3*f. Factor p(s).\nAnswer: -2*s**2*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 49*y - 245. Determine u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - 0)*(-12)\/14. Let v(r) = -14*r**3 + 11*r**2 + 6. Let f(q) be the second derivative of q**5\/4 - q**4\/3 - q**2 + 14*q. Calculate h*v(u) + 17*f(u).\nAnswer: u**3 - 2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1072.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 101, 343, 889, 1889, 3493, 5851, 9113?\n\"Answer: 25*j**3 + 2*j**2 + 61*j + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 11 = -13. Calculate the remainder when 131 is divided by ((-9)\/27)\/(l\/(-57)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 348636?\nAnswer: 2, 3, 17, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/3)\/(1\/12). Suppose h*m - 12 = 0, -2*d - 2*d + m + 13 = 0. Solve -25 = 5*v + 3*z, 2*z + 3 = -d*v + 3*z for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5724*a - 51559. Calculate i(-9).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 1691*b + 13704. Determine y(-8).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3662423 litres to millilitres.\nAnswer: 366.2423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -9. Suppose -3*b + 143 = 4*q, -2*b + 121 = q + m. Suppose 0 = 3*z + 3*i - 57, 0 = 3*z + i + 4*i - b. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(140)\/sqrt(5) - sqrt(28)) - sqrt(42)\/(-5*sqrt(216))) + 1.\nAnswer: sqrt(7)\/30 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100376 and -1.\nAnswer: 100376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 5.019544 hours?\nAnswer: 301.17264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.8781804 rounded to 3 dps?\nAnswer: 31.878","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -511?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -116253 (base 7) in base 14?\nAnswer: -7b2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/6*4*-3. Solve a + 5 = 2*c, r*c - 3*a + 8*a - 11 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.16757067 * -0.3.\nAnswer: 0.050271201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0\/(5 + -11) + 686.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(1\/((-4)\/6)). Suppose -y*d + 6*d = 8. Determine j, given that 3\/2*j + 1\/2*j**d + 1 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -3, 52, -35?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((7\/(-7))\/(4\/32))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 2:12 PM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*3\/27*312\/2600.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1015 times 1.36\nAnswer: -1380.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-450)\/4275)\/(132\/(-114))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/22 and -119\/1602.\nAnswer: 17622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 56*y**3 + 46732*y**2 - 444954*y + 7?\nAnswer: 336*y + 93464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29902.\nAnswer: 2, 14951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1016.527 - 1018. Let z = -1.273 - m. Let y = -0.1 + 0.6. Which is the nearest to z? (a) y (b) 2.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**4\/3 + 1572*w**3 - 873366*w**2 - 62873712*w - 1066453344 = 0.\nAnswer: -33, 1212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 - -73. Suppose n - 4*n = 0. Suppose 0*t - 4*t + 36 = n. What is the remainder when g is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13.861, 3\/2, 882?\nAnswer: 882","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 12*d**2 + 9*d - 28. Calculate r(-11).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 76383393 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 37 + -53 + (-2 - 0) + (2 - 1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -3*w**2 - 2*w - 1. Calculate the smallest common multiple of ((-4)\/72*-6)\/(1\/54) and z(-3).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 1584.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (60*x - 29*x - 2 + 58*x)*((-x + 4*x**2 + x)*(4 + 2 - 4) + (2*x + 0*x - x)*(-2 + 2 - 5*x)).\nAnswer: 267*x**3 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -121?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 94, 163, 232, 301, 370, 439?\n\"Answer: 69*y + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p**2 + 10*p - p**3 - 1 + 1. Let b be q(10). Is b\/1 + (-268)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 339*g - 339*g - 18*g**2.\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12520 + 529*a**2 - 12520 - 531*a**2.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*1024.\nAnswer: 5120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 165\/80*(-13 - -7) + 12 + (-117)\/(-248).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 9*g**2 + 24*g + 25. Let l be i(-11). Let o(w) = w**3 - 5*w**2 + w + 17. Let d be o(l). Solve -4 + 2 = -d*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eight thirds of a decade?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 4. Let y(x) = -101 + x**2 + 14*x + 203 - 126. What is the remainder when l is divided by y(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88676 and 84.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t = -129 + 194 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.07224545517 to four dps.\nAnswer: -0.0722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 + 3.5. Let i = 3.254 - 3.554. What is the third smallest value in -0.2, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55)\/(-88)*(1\/((-45)\/(-18))*2)\/7\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c**5 - 3519950*c**4 - 14862370*c**3 + 7430830*c**2 + 65707080*c + 14080104 = 0.\nAnswer: -3, -2\/9, 2, 195557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -157524177.94971 + 157523363. Let h = -815 - m. Let s = h + 0.05. What is s rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4879)\/(-287))\/((80\/(-50))\/8).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-1240)\/(-136) - 59280\/(-1020).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*g + g, 0 = -4*f - g - 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21.6*-5633.\nAnswer: -121672.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 25983 or 4079355\/157?\nAnswer: 4079355\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66917420 a multiple of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -155*i**6\/6 + 31*i**2\/2 + 57. Find the second derivative of b(h) wrt h.\nAnswer: -3100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9351892 and 2024.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 2*t - 5335 = -5315, c + 18 = 2*c + 4*t - 34 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**3 - 8*m**3 + 5 - 16*m**3 + 8*m**3 + 14*m - 9*m.\nAnswer: -33*m**3 + 5*m + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 644 = 330*k - 307*k + 253 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62775.497 and 3945.\nAnswer: 66720.497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20815 (base 9) in base 2?\nAnswer: 11010111011000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 4*y**3 - 11*y**2 + 7*y + 12. Let x(a) = -5*a**3 + 12*a**2 - 8*a - 12. Let n(o) = 6*s(o) + 5*x(o). Does 23 divide n(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {j: 3, m: 12}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 893*j + 500*j + 11144 = 0 for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -74129930*s**4 + 29451849.\nAnswer: -296519720*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 9328467?\nAnswer: -1865693.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 2:35 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 977*y + 1242. Calculate j(-3).\nAnswer: -1689","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 973955551 a multiple of 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4 + 32*y**3 = 0. What is y?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 11) to base 9\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwxk when four letters picked without replacement from xxxwwwxxwxkxwxxxx.\nAnswer: 11\/2856","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 3*q. Suppose n + 1 - 3 = q. What is the third derivative of 2*s**4 - 4*s**n + 0*s**4 + 3*s**2 wrt s?\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -450, 5, 11 in ascending order.\nAnswer: -450, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1041128 greater than -1041128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 59, 93, 129, 167, 207, 249?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 2*w + 97. Suppose -w*k + 1075 + 430 = 0. Calculate the greatest common factor of 5 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*p - 77, 44*x = 2*p + 39*x + 67 for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 4*m**2 + 4*m + 2. Let r be i(-2). Let j be 5\/(-2)*12\/r. Let q be (-1)\/((-1)\/6) + j. Solve 2*u - 5 = -3*f, -f - q*u - 15 = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/5 + (-2)\/(-5). Suppose -2*v + 3*z - 8 = 0, -796*z + 799*z = 3*v - 9. Which is the closest to v? (a) -4 (b) g (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 + -50. Solve -5*g - 4*d = -n, 2*g - 7 = -g - 2*d for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 3)*1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 50 + -35 + 47?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 307*r - 887*r - 3*r**2 + 291*r + 289*r - 65 to the form b*r**2 + z*r + p and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d + 14. Let b(y) = -6*y - 7. Let q be b(d). Suppose -q = -4*o + 5. What is the smallest common multiple of o and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 4*u + 2*u - 4900. What is the lowest common multiple of u and 98?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6559513 to the nearest integer?\nAnswer: 2561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 1)*-2 + sqrt(28)\/sqrt(36)*5.\nAnswer: -49*sqrt(7)\/3 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32 + 0.29. Let l = 909 - 908.92. Which is greater: w or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**7\/210 - v**6\/24 - 3*v**5\/20 - 7*v**4\/24 - v**3\/3 + 2*v**2. What is o in d(o) = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (1 - -5 - 10 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -20*x + 1468. Determine h(74).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/19)*w)\/w)\/w**11*w**(1\/3)\/(w**10*w) assuming w is positive.\nAnswer: w**(-1241\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-55))\/((30\/(-25))\/3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 j when two letters picked without replacement from {p: 3, j: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2*1 + (-9 - -11))*2. Solve 0 = -5*k - 7 - h for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 3)*(15 - 1 + 9)*(-2*u - 2*u + 2*u) + (-2 + 0 + 4)*(6*u + u + 2*u) to q*u + y and give q.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 5513.9.\nAnswer: 5513.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 14 = 5*d, -4*d + d = -2*y + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 + 137130*y - 4701159225.\nAnswer: -(y - 68565)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.6 (b) -14\/303 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (381\/(-4))\/(-4 - 290\/(-80)). Let w = v + -250. Solve 0 = -5*b + w*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004058486 a multiple of 1859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of -p**6\/120 + 7*p**5\/60 + p**4\/4 - 14*p**2. Calculate l(7).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23030*t**3 + 3865*t**3 - 23381*t**3.\nAnswer: -42546*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - (-6)\/8)*-1642684 + 0. Suppose -k = 3*d + 2643329. Round d to the nearest 10000.\nAnswer: -1020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350 is divided by 265?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 73 = 5. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6572\/40704)\/((-1)\/(-32)).\nAnswer: 31\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 10*t**2 + 10*t + 16. Suppose 0 = -3*u + 2*l + 96, -5 = 3*u + 2*l - 89. What is the remainder when g(10) is divided by u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -28*a**3 + 162*a**2 - a + 45798 wrt a?\nAnswer: -84*a**2 + 324*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2455 and 81015.\nAnswer: 81015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 497*o**2 - 9*o + 9. Is n(3) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -0.03, -0.3, 0, 98, 24?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25161 + -176126\/7. Factor 6\/7 - t*r**3 + 6\/7*r**2 - 11\/7*r.\nAnswer: -(r - 3)*(r - 2)*(r - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 + 10*p + 4. Let g be h(-9). Let s(y) = -40*y + 52. Let v(b) = -45*b + 56. Let x(a) = 6*s(a) - 5*v(a). List the prime factors of x(g).\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2957)\/((-5 + 38\/8)*4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33057200.3 to the nearest 1000.\nAnswer: -33057000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u + 10. Let d be b(-5). Solve d = 2*j + 7 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/391 - -3493\/5083. Which is greater: m or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.4, -344, -3 in increasing order.\nAnswer: -344, -3, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274 divided by 106.\nAnswer: 137\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 0.21, -4, 6\/151 in ascending order.\nAnswer: -35, -4, 6\/151, 0.21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.5 + -0.5. Let l = 681 + -684. Let k = l + h. What is the second biggest value in 3\/7, k, -2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2247498545?\nAnswer: 5, 449499709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5607, -5615, -5629, -5649, -5675?\nAnswer: -5707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3034 + -12199\/4. Find the common denominator of l and (2\/(-6)*3*-13)\/(-16).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -134*k - 56*k + 570 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 4.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 4*d + 3*w, 84*w = -4*d + 80*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468143965.\nAnswer: 5, 53, 1766581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/4 (b) 0.6 (c) 1.496 (d) -2 (e) -0.1 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2\/21)\/r*r)\/(r\/r**9)*(r**(-2))**(1\/15)*r**(-1)*r*r*r**(-5)*r**(1\/11)\/((r*r**(8\/7)*r*r)\/r) assuming r is positive.\nAnswer: r**(277\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -8 and -40.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10883232 - -1?\nAnswer: -10883231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 6*h**2 + 7*h + 1. Suppose 30 + 272 = -2*u. Let y = 156 + u. Calculate p(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 187, 413, 715, 1087?\nAnswer: 1523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -6 + (1 - 3) + (5 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1450412333 + 3?\nAnswer: -1450412330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, p: 1, z: 2, j: 1}. Give prob of sequence pzz.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -14*u**2 - 38*u. Let w(r) = -r**2 - 5*r + 4. Let y(s) = -8*s**2 + 30*s - 24. Let x(c) = -6*w(c) - y(c). Determine n(x(l)).\nAnswer: -2744*l**4 - 532*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 19*a**2 - 18*a + 5. Let i be v(-18). Suppose -3*s + 55 + 845 = 3*y, 0 = -i*s + 15. What is the highest common divisor of y and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1542588498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eteeeeeette. Give prob of picking 1 t and 1 e.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100001100100110 + 11?\nAnswer: 1100001100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 960 - 959.9379. Let q = k + -9.0491. Let x = q + 9. What is x rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bl when two letters picked without replacement from {t: 5, k: 1, b: 1, l: 2, u: 2, a: 4}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 418802250 to the power of 1\/2, to the nearest integer?\nAnswer: 20465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6913792516 to the power of 1\/2, to the nearest integer?\nAnswer: 83149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -46, 1\/4, -1, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 0. Let b(t) = 57*t**3 + 2*t - 1. Does 20 divide b(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.44 - -0.14. Which is bigger: 0.06 or b?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -7*d**3 + d**2 + 5*d + 9. Suppose -3794 = -7*n - 3745. Let x(g) = 10*g**3 - 2*g**2 - 7*g - 13. Calculate n*s(k) + 5*x(k).\nAnswer: k**3 - 3*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 10. Suppose x = 2*y + 2*r - 260, 0*y - r - 120 = -y. List the prime factors of y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10949, 21270, 31589, 41906, 52221, 62534, 72845?\nAnswer: 83154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-48)*-4*(-44)\/165.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1671745 times -161\nAnswer: 269150945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 9372618 divided by -37\nAnswer: -253314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*t + 2 = 3*f, -4*f = -2*t - 18. Let h be 3 - (155104\/(-70))\/f. Let b = h + -557. Is 1 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/999 and -56\/539793.\nAnswer: 1619379","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661.\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 1793209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 366 = -131 + 107 for r.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13886 and 5502.\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1134 + -1133. Solve -y + 17 = 2*i + 5*s, 0 = 3*s - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*s - 8*s - 5*s + (-3 + 5 - 1)*(-3 - 3*s + 3) to the form p + j*s and give j.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b + 40 = 3*l + 5*b, -2*l = -2*b - 28. Let o be 29 - (l\/(-3))\/(-1). Calculate the remainder when o\/10 - 3 - 7758\/(-30) is divided by 52.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2304 and 2784.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -50122 (base 12) to base 5.\nAnswer: -11310400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, -415, -648, -891, -1150, -1431?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i**2 - 5*i + 4. Let x(d) = d - 2. Let t be x(-3). Suppose 11 = -0*q + q. Let b = q + t. Let h(m) = 8*m**2 - 6*m + 5. Give b*f(v) - 5*h(v).\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -1) + (1450 - 1472)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/170 + 2762\/85. Let l = 7 + -1. What is the common denominator of h and l\/8*1070\/(-135)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17076583.\nAnswer: 2677, 6379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.011? (a) -3 (b) -66 (c) -2\/9 (d) -6 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460945885?\nAnswer: 5, 167, 552031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) 1\/4 (d) -1 (e) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/6003 and -17\/51497.\nAnswer: 13440717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-3)\/1 - 1. Let h = c - -1. Let i be h + -1 - (1 + -1). Which is smaller: i or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 3:42 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - u - 3*a - 7, -2*a = 3*u - 17. Solve w + 0 + u = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*t + 8. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48780 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 4, 6, -508, -4, 676 in increasing order.\nAnswer: -508, -4, -2, -1, 4, 6, 676","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 34 - 4 = 2*n for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4.35 (b) -0.037 (c) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*q + 3068*q + 7612*q - 1260*q + 2 + 1290*q as m*q + b and give m.\nAnswer: 10836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1 + (-1 + 2 - 2)*(-2 - 2 + 2))*(a**3 - a**3 - 2*a**3).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 16, r: 4}. Give prob of picking 2 b and 2 r.\nAnswer: 48\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 148228*k = -148233*k - 8, 32 = 4*q + 5*k for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*r - 29 = 0, -7 = -3*r + 2. Solve 0 = -3*o - n - 4 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -174057134*x**3 + 900414*x**2 + 2*x wrt x.\nAnswer: -1044342804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/12 + (0 - (-280)\/(-21)). Is x bigger than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**5*(k\/((k\/k**(-2\/5))\/k))\/k)**(2\/37))**43 assuming k is positive.\nAnswer: k**(2408\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2000002210 (base 3) to base 12.\nAnswer: 1a9a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1035*n - 2870. Is a(-34) a multiple of 202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5074412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*g - 14 = 0, -3*i + 4*g + 6 - 4 = 0. Which is the fourth biggest value? (a) -1\/2 (b) i (c) -5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 13826*b - 13854*b + 135 = -2*s, 40 = 4*s + 4*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - p - 333607 = 0, 2*n + 2*n + 2*p = 333598. Let k = -4 + 4. Suppose -5*m - n - 66599 = k. Round m to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10691935?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 4*q + 6. Suppose -4*t - 36 = -2*o - 6, 2*t = -8. Suppose -4*j = -o + 3. What is the remainder when b(5) is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -22. Which is smaller: h or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15776bb (base 13) in base 4?\nAnswer: -122110200210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 6*p - 22 = -5*j, 0 = 4*p + 5*j - 31. Suppose 5*l + p = 2*f, l + 7 = 6. Solve f*q - 5 + 9 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*v**4 - 49105*v**2 + 2*v**4 - 6 + 4*v + 49104*v**2 in the form i + r*v**4 + t*v + k*v**2 + y*v**3 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1017 = -43*k + 11810. Calculate the remainder when k is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 3\/7 (c) 78 (d) 5\/3 (e) 1\/10\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 6077731.\nAnswer: 4\/6077731","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 91668 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104 = 18*x + 50 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2631, -5127, -7633, -10155, -12699?\n\"Answer: -n**3 + n**2 - 2492*n - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*((-156)\/12)\/364.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/37044 and 10\/9261.\nAnswer: 37044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j**3 - 2*j**3 + 2*j**2 + 11 - 4 + 3*j**3 - 4*j**3 to the form s*j + t + g*j**3 + d*j**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (108 - 105) + 8 + -66\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/4? (a) 205 (b) -1 (c) -2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -297, -1221, -2769, -4947, -7761?\n\"Answer: -y**3 - 306*y**2 + y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 0 + 0 - (-19 + 10) and 54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4633011807?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/(-594))\/(4\/2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 949012?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4*c**2 + 3*c. Let t(g) be the second derivative of 5*g**4\/12 - 2*g**3\/3 - 72*g. Let r(v) = -4*m(v) - 3*t(v). Let h(k) = 3*k**2. Determine h(r(d)).\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 867*k - 25 = -869*k, -t + 3*k = 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1353.91 + -1346. Let g = 8 - k. Suppose 0 = -4*w + 20 - 0. What is the third biggest value in 0.3, w, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27\/32 + -307\/288. Let v = 2 - 1.8. Let i = v + 0.3. Which is the nearest to 4? (a) 0.1 (b) o (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -12?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1833 - -1837. What is the smallest value in 95.3, -3, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12*6\/9)\/(-3)*((-630)\/72 - -23).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 10) to base 8\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954 and 1484742?\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 + 109 = 9*j + 12*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.025 - -20.025. Let i = -29 + m. Let g = 9.035 + i. Round g to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*d**3 - 1972 - 2*d**3 + 1966 - d**2 - 16*d - 33*d in the form v + k*d**3 + o*d + t*d**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = 2*t + 125. Suppose -i - 2*w = -75, -2*w - 193 - 158 = -5*i. Let y = i + t. Calculate the remainder when y is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1796 + 12545\/7. Let t = 128\/35 + g. Let m = -31273.7 - -31274.7. Sort m, -40, t.\nAnswer: -40, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 - -67. What is the highest common factor of z and 275?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 654?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -63 (b) -8 (c) 4\/7 (d) 0.4 (e) 0 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3*n + 9. Let d(y) = 8*y + 26. Let j(k) = -2*d(k) + 7*x(k). Let g(o) = o + 2. Let t(b) = -11*g(b) + 2*j(b). Let w(z) = -28*z**2. Determine w(t(u)).\nAnswer: -28*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*d + 31*d + 30*d)*(-4*d + 2*d + 4*d).\nAnswer: 96*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 144 + 7 - 11*n + 4*n + 5*n to h*n + q and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 11*v**2 + 2*v - 124. What is y(11)?\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 9}. Give prob of picking 1 r and 1 e.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9108490?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 5:19 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/(5832\/(-336))*6\/(-4)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -11 + -2 + (-5 - (-18158)\/1652)?\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of 0*q**2 + 2*q + 0 - 1\/4*q**5 + 1\/6*q**6 + 5\/6*q**3 - 5\/12*q**4. Find s, given that z(s) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 2*b + 2*b)*(2 - 2 + 3*b + 1)*(-617*b - 644*b + 1189*b - 1).\nAnswer: -216*b**3 - 75*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1a874 (base 11) to base 8\nAnswer: -70510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170945?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12300 (base 5) to base 7.\nAnswer: 2525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 0 + 0 - 1 + 0 - 1 + 2 - 2 + (1 - 3 + 3)*(2 - 1 - 4))*(-78*k - 1 + 209*k - 96*k).\nAnswer: -140*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/225)\/(14\/(-4)) + 0?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 13*a**2\/4 - 5*a - 21.\nAnswer: (a - 3)*(a + 2)*(a + 14)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288*5341.1.\nAnswer: 1538236.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**4 - 15*y**3 + 24*y**2 - 12*y = 0 for y.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97810061 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 187*a - 854. List the prime factors of m(7).\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**5)\/(g\/(g\/(g*g**(-4\/3)))))\/((g\/((((g*g**(-7)\/g)\/g*g)\/g)\/g))\/g**4) assuming g is positive.\nAnswer: g**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -784, -782, -780, -778?\n\"Answer: 2*x - 786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21\/2*k**3 + 12*k**2 - 27\/4*k + 3\/2 - 3\/4*k**5 + 9\/2*k**4 = 0 for k.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21539 and 31535?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5*s = 60, 5*t - 81 = 2*t + 2*s. Let l = -46 + t. List the prime factors of (4*l)\/(6\/(-4)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -39?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -669 = -2*a - 2*a - s, -s - 161 = -a. Suppose -56 + a = 2*v. Suppose -c - i + 27 = 0, 2*c + 0*i = -i + v. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1318429267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4715280 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 5 = 2*k. Let d = k - -4. Find the second derivative of -d*o**5 - 8*o**4 - o + 8*o**4 wrt o.\nAnswer: -40*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181999503.\nAnswer: 3, 7, 179, 16139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (3 - 3)) + 2 + -8?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of 0*v**2 + 0*v**4 - 1\/20*v**5 + 1\/2*v**3 - 2*v + 0. What is the second derivative of s(t) wrt t?\nAnswer: -6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(18)\/sqrt(9))*-4.\nAnswer: -4*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101948 and 160556?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 12:24 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(-12)\/(-8) + -1. Suppose 3 = y*x - 5*x. Is x\/3*-9 + 146 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1017687 and 6215?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 7)*-1*-1. Let h be (47 - s)*1\/2. Solve i = -4*i - h for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = -10*x + 28. Let m(a) = -5*a - 1. Let h be m(-1). Let u(s) = s**3 - s**2 - 2*s - 5. Let y be u(h). Calculate the highest common factor of x and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2832 and 177.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4184 + 8692. Suppose 0 = 4*g - q - b, 12*q = -g + 11*q + 1122. Does 59 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5313 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**5 - 15*p**4 + 81*p**3 - 189*p**2 + 162*p.\nAnswer: p*(p - 6)*(p - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in -1\/3, 1, -2, 2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 233*i*u**4 - 47015*i*u - 580*i + 200526*u**5 wrt u.\nAnswer: 2796*i*u**2 + 4010520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -29, -5, -2.\nAnswer: -29, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 22 + 35 - m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*t + 409*t = 13486 - 1369 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6280?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7248 to 2 decimal places.\nAnswer: -1.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 4*s = -7107 + 415, 0 = 3*v - s + 5011. Let c = v - -939. What is c rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*d - 20*d + 20. Suppose 2*k - 3*q = 2 + 9, 0 = 3*k - d*q - 15. Solve l + 3 = -r, 5*r + 6 = 3*l - k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11892271 times 0.2?\nAnswer: -2378454.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - q - 3. Let u be p(3). Suppose 4*t + t + 784 = -4*r, -u*t + 12 = 0. Is (-3 + 1)\/(6\/r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*n + n + 1, 2*n = 2*w + 14. Let f = w + 3. Let d be ((-1)\/30)\/((-5)\/20). Which is smaller: d or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 1:19 PM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 20339.55ug?\nAnswer: 0.00000002033955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 158 and 7.\nAnswer: 1106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -9*c**2 - 383*c + 13135. What is p(-65)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -31.5. Let k = -0.06 + 0.085. Let f = 16.025 - k. What is the biggest value in f, -4, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.911864l to millilitres.\nAnswer: 8911.864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 3 + 3\/2*j**2 + 1\/24*j**4 + 0*j + 0*j**3. Let i(a) be the second derivative of m(a). Let c(d) = -4*d**2. Determine i(c(o)).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 165755*q + 1325924. Calculate i(-8).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 - 71. Let v(b) = -2*b - 1. Calculate v(p).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 253.119091.\nAnswer: 253.419091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5\/6 in 1\/12, -0.1, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -271 - -376. Solve -16*b - 25 + m = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 39453.06km to centimeters.\nAnswer: 3945306000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2850\/114 - (-11 + (-2 - (-8 + -1))).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25241935.\nAnswer: 5, 5048387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (1 + 0\/1). Suppose u = -g*u + o + 1, 3*u - 9 = o. Suppose -t + 16 = -3*l, 3*l = l - 3*t + u. Is l at most -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4757267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 4*q - 23, -q + 13 - 2 = 4*t. Solve 0 = -4*m + q - 15 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 37*b + 42. Let t(m) = -313*m - 337. Let g(x) = 17*i(x) + 2*t(x). Give g(11).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/98*(((-630)\/(-144))\/(12\/(-16)))\/(-5)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*g + 4265, -4*g - 7143 = g - 2*k. Let a = -2772 - g. Round a to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 1930867?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 7*j**6\/18 + 26*j**5\/15 - 7*j**4\/4 - 64*j**3\/9 + 26*j**2\/3 - 4032. Let a(y) = 0. Calculate y.\nAnswer: -26\/7, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -19*v - 515. Give j(-27).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00535125214 rounded to seven decimal places?\nAnswer: -0.0053513","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 81788 a multiple of 127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 130 - 131. Let i be (1 + z)*(-2 - (-15)\/6). Determine x so that -2\/3*x**4 + 2\/3*x - 2\/3*x**3 + i + 2\/3*x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -154*v + 152 + 950 + 308 + 746 for v.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 76630*h + 542. What are the prime factors of r(1)?\nAnswer: 2, 3, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/(-1*sqrt(9)))\/((sqrt(27)\/sqrt(3))\/sqrt(3)) + -5.\nAnswer: -5 - sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 AM and 7:26 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaayaayaaaaaaaaa. Give prob of picking 2 y.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**2 + 2*d**2 + 2*d**2 - d**3 - 2 - 4*d**2 in the form k*d + c*d**2 + p + v*d**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 928 + 280 = 2*t, -4*y + 648 = t. Let q = -74 + y. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = -b - 5*y - 13, -2*b = -y + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/9*18\/138 + 3575\/(-10465)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 7*f + 9. Let s be g(6). Suppose 0 = -s*r - r. Suppose -4*y + 3*y - 16 = -5*i, -4*i + 4*y + 16 = r. Which is bigger: i or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1412*r - 63480 = -1435*r. Calculate the highest common divisor of 60 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2411700 and 21860.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t. Let r(f) = -8895*f**2 - 3*f + 5. Calculate r(a(l)).\nAnswer: -8895*l**2 - 3*l + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3015697 to the nearest integer?\nAnswer: 1737","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 3*d + 18 + 72, -2*l - 35 = -d. Let z = l + 58. Does 8 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from oeoqoegqjmoq.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from ppppsdqdppkddbsds.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 11:22 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -953473 - -81194.805\nAnswer: -872278.195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00100271 to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 4*y - 14 = 0, -5*v + 2*y + 7 = 6*y. Let d = v - -2. Let b be (-56)\/196 - (-1)\/((-14)\/(-32)). Sort b, d, 3 in descending order.\nAnswer: 3, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 44. Let p be t(-31). Suppose -p*r = 12 + 79. Is -11 greater than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -131200203 (base 4) to base 10\nAnswer: -120867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -8*r**2 + 59*r - 86. Let b be o(2). Suppose 2*c + 50 = -4*g, -3*g + 7*c = 3*c + 54. Let j = g + 17. Solve b = -2*i + 3*i + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 6. Let a(g) be the first derivative of -g - 1\/2*g**2 + 1. Calculate 4*a(w) + u(w).\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 14 = 4*o. Let j(f) = 3*f**2 - 1 + 2 - 2*f**2. List the prime factors of j(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 232 = -236*k - 628 - 7400 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3033033034 (base 5) to base 3.\nAnswer: -102120002110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*j = j. Suppose j*k = -k + 74. What are the prime factors of k?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, -9442 in increasing order.\nAnswer: -9442, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -90.79 + 90.99. Let y = 472\/7 + -67. Which is the second smallest value? (a) 2\/13 (b) y (c) -1\/5 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1086, 1097, 1132, 1203, 1322, 1501, 1752, 2087?\nAnswer: 2518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8 - 145\/(-20))*-4. Solve -3*g + 5*r + 8 = -c, 27 = -5*g - 3*r for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086831113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33462 and 1859?\nAnswer: 33462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, 9, 16, 35, 72?\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1674 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -166 - -4?\nAnswer: -162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*d**2 - 2*d**2 - d**2)*(d**2 - d**2 + d**3 - 4*d**3 + 2*d**3 - d**3 + (7*d**2 - d**2 - 4*d**2)*(-3*d - 3*d + 5*d) + d**3 - d**3 - d**3).\nAnswer: 40*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -7. What is the greatest common factor of a and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -93 times -8.08399?\nAnswer: 751.81107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**4 + 4630*c**3 + 990240*c**2 - 37785600*c + 331776000 = 0.\nAnswer: -480, 16, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/898800 and 169\/256800?\nAnswer: 1797600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -11*s**2 + 1 + 2 - 13*s - 5. Let f(j) = 35*j**2 - 15*j + 67*j + 9*j**2 + 8. Let p(r) = -6*f(r) - 26*w(r). Factor p(l).\nAnswer: 2*(l + 1)*(11*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -755.\nAnswer: -226.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 1\/7 (c) -3 (d) 0.047 (e) 3.4 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from izizizzbazaazz. Give prob of sequence zz.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8080)\/707 - (-2 - 9).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10415*x + 10413*x - 19 = -5*o, -114*x + 352 = 2*o for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 896432061.\nAnswer: 3, 7, 23, 67, 27701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 12*o - 3. Let m(u) = -11*u + 4. Let t(a) = -2*m(a) - 3*s(a). Suppose 45*r - 24 + 69 = 0. Determine t(r).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 9, z: 4, t: 3, h: 2}. Give prob of sequence edt.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 848 and 159.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y**2. Let w(v) = 5*v - 8. Let t(b) = 6*b - 7. Let g(i) = 3*t(i) - 2*w(i). Determine g(q(a)).\nAnswer: 16*a**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 158 = 155. Sort 0, 16, t in increasing order.\nAnswer: t, 0, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j + 4*x - 16463 = 0, 0 = -j + 4*x + 3307. Suppose 2*h - 3*h + 3287 = -o, -h + 5*o = -j. Suppose h = 5*i - 4100. Is i 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 1741992 and 336?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3\/8, -0.2, -0.032, -0.3, 29?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + 1 + 5*(4 + -2 + (sqrt(75) - sqrt(75)*-3))))**2.\nAnswer: 40000*sqrt(3) + 751600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 87. Suppose k*o = -2*o - 46. Let p = -47 + 25. Is o < p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pgppphnapjphpgp. What is prob of picking 2 h and 2 g?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(21\/7*((-18)\/(-3))\/(-18))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 47 = -7. Let y(q) = q**3 + 10*q**2 - 30*q - 12. Calculate the lowest common multiple of x and y(-12).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10011111110011000111 (base 2) to base 13\nAnswer: 19bbcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*b - 5 - 1 + 2 + 1 as k + c*b and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 86241.37 meters?\nAnswer: 86241370000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((5 - -26) + -11).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/((i*i**39)\/i)))\/(i\/i**(-8)) assuming i is positive.\nAnswer: i**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2860?\nAnswer: 2, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 126\/1386 + 2\/(-1760)*2434 and 93\/4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ygyg when four letters picked without replacement from gygggqqygggygqyy.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 18 + -1 - (2 - -11).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((50\/(-4))\/5)\/(-2)*(-1192)\/298\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/2))**(6\/11)*d**5*d\/((d*d*(d*d**(2\/3))\/d)\/d))\/(((d\/(d*d**4))\/(d\/(d**(-1\/3)\/d)*d))\/((d**(2\/5)*d)\/d)**(-36)) assuming d is positive.\nAnswer: d**(-496\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 - 2.16. Let l = 2.2 + q. Let g = 1\/21 + 17\/84. Which is the nearest to g? (a) 3 (b) -4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250) - -3*sqrt(250)*3 - sqrt(250) - 6*3*sqrt(250))\/(-5*-3*sqrt(605)*2))**2.\nAnswer: 9\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -551273 + -29210.\nAnswer: -580483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*k = -8*z - 17*z + 1545 - 1594, 0 = k + 2*z + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by (-9)\/3 - (-1 - 21).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 389 divided by 24.\nAnswer: 389\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - k + (-2*k + 3*k - 3*k)*(2 + 2 - 6) - 5*k + 3*k + 0*k)*(18 - 90 + 24) to the form d + p*k and give p.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2 + 13*a + 13. Let w be q(-1). Let f be (13\/273)\/(w\/(-24)). Let k = -4.1 + 4. What is the nearest to 1 in k, f, -5\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -833?\nAnswer: -833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1588, -4314, -8170, -13156?\nAnswer: -19272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*r = -3*c + 31, 4*c + 3*r - 8 = 0. Suppose -5 = -5*v, -c*v = 3*h - 0*v - 290. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -9506*q - 1007632. What is y(-106)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -31*u - 1. Let t be p(-1). Suppose 5*r = 0, 2*a + r + 60 = 7*a. What is the greatest common factor of a and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**2 - 5*t**2 + 1781*t**3.\nAnswer: 1781*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2188961 and 454.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 + 1100010010000100110?\nAnswer: 1100010010000111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.1302 + 1.9529. Is o smaller than -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*q - 7*q + 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 265, 269, 277, 289, 305?\nAnswer: 325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11776*a**2 - 23545*a**2 - 326 + 11768*a**2.\nAnswer: -a**2 - 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 3*t + 9 - 8, 3*t - 11 = -j. Suppose -c - 23 = -j*o, -5*o + 0*c = -c - 53. Solve -5*v = -0 - o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-1 + -1) - (13 + 2124\/(-132)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2653430 - 1?\nAnswer: 2653427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + -78 + 24 + (4 - 0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*j + 26. Suppose -2*p - 17 + 329 = -4*a, j*p + 2*a - 756 = 0. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95542624.\nAnswer: 2, 313, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3426079, -3426081, -3426099, -3426145, -3426231, -3426369, -3426571, -3426849?\nAnswer: -3427215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o**(-10)*o)\/o)\/((((o\/o**(-7\/3))\/o)\/o)\/o))\/((o*o**1*o)\/o*o)**(3\/8))**(-28))**(2\/9) assuming o is positive.\nAnswer: o**(1925\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 22\/5 + ((-84)\/(-35))\/4. Suppose r = -2*u - 3, -2*r - t*u - 27 + 17 = 0. Solve -r*q + 18 = -2*f, 9*f - q = 4*f - 22 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 20 + (16 - 6)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000013963 to 7 dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27.00016 - 27. What is o rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) 0 (b) 1\/10 (c) 2 (d) -5 (e) -0.2 (f) -4\/187\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305106, -305167, -305228, -305289, -305350?\nAnswer: -305411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from {u: 1, i: 2, l: 1, m: 1, a: 1, t: 2}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 6. Let a be u(-4). Suppose 3*r + 4*n - 42 = 0, 4*r + n = 2*n + 75. Suppose -s - r = s. Do a and s have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -808, -46, -68, -2?\nAnswer: -808","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + sqrt(8) + sqrt(8)*3).\nAnswer: -16*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -j + 2*f, 2*j + 15 + 10 = 5*f. Suppose 6*m - 5*m - 9 = j. Solve m = z - 4*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Let l(h) = -12*h**2 + 2*h + 17. Let c(m) = 5*m**2 - m - 8. Let k(o) = -5*c(o) - 2*l(o). Calculate k(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k + 504 = 13*k. Let x = k + -84. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3984\/(-180) - (12 - 35) - (-2)\/(-30)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5719\/10 - 572. What is the closest to 1\/2 in o, 2.5, 4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3001 = -4*q - 3*m, -q + m + 73 = 825. Let h = 1059 + q. Is 26 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14732179097 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*y - 1155 = -100*y. Put 1\/3, 3.3, y in decreasing order.\nAnswer: y, 3.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2249 is divided by 128?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(-r - 9*r - r) + (5*r - r - r)*(2 - 4 + 0).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 2. Suppose 11 = 13*u + 76. Let y(g) = -39*g. Let q(t) = -8*t. Let w(f) = u*y(f) + 24*q(f). Determine w(m(j)).\nAnswer: -12*j - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -12*(-11)\/(-22) - -99109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/210 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342453529 to the power of 1\/2, to the nearest integer?\nAnswer: 36640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -c + 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*u, 3*x - u - 723 = 4*u. Let f = -30352 - -30434. What is the greatest common divisor of f and x?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 8 = 4. Let d be 4\/(-3)*27\/n. What is the tens digit of ((-4)\/d)\/((-8)\/(-156))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 1 - 8 + 3 + (3 + 0 - 1)*(-4*g + 2*g + g))*(134 - 74 + 293).\nAnswer: -353*g - 1412","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 3*k + 18, 2*y - k - 7 + 28 = 0. Let c(p) = -p**3 - 8*p**2 + 9*p - 4. Determine c(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17053 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9650)\/28950*((-22)\/(-6) - 3 - (-551)\/(-3))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2436*28.761\nAnswer: 70061.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -375.\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22114 is divided by 316.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 2 + 4*h + 2*h - 3*h.\nAnswer: 3*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2.5*4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 8*u + 5. Let i be m(-7). Let g be 8\/i*(-18)\/1. Let s be (g\/9)\/((-5)\/(-3)). Which is the nearest to -0.1? (a) 0.3 (b) s (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2762*t - 2456*t + 2579*t + 2027*t.\nAnswer: 4912*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27837, -27753, -27671, -27591?\nAnswer: -27513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71 - 419 = 145*m + 377 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 263 (base 11) to base 15\nAnswer: 15b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + t + 1. Let l(w) = -3*w - w**2 - 2 + w**3 - 5*w**3 - 2*w**2. Let z(j) = -l(j) - 3*u(j). Differentiate z(v) with respect to v.\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 424092 divided by 70682.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - p - 10. Let k be x(0). Suppose h - 10 = -3*u, 4*h - 4 = 7*u - 10*u. Sort k, 3, u in ascending order.\nAnswer: k, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*3.28643\nAnswer: 1.314572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-9)\/(-2))\/(-9))\/(56\/(-32)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m + 4*z + 30, -5*m = -100*z + 98*z - 35 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x + 5. Let d = 1.51 - 0.51. Let j = -89 - -92. What is the third smallest value in d, j, x, -0.5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*u + 10 + 17 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -233.72?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-15)\/(-45) - (-40)\/6).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1868 * -1.\nAnswer: -1868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a - 2286 = -16*a - 58*a for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -22*k + 18. Let l(v) = 21*v - 17. Let q(d) = 2*i(d) + 3*l(d). What are the prime factors of q(7)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - c = 438. Let v = 148 + c. Differentiate 15*u**v + 16*u**2 - 50*u**4 + 26 - 31*u**2 wrt u.\nAnswer: -200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15398309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 - 1)*(3*w + 11*w + 0*w).\nAnswer: 56*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 15*u - 5. Let p be y(14). Let t be 1\/12 + 6\/p. What is the smallest value in t, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.737369ml in litres?\nAnswer: 0.007737369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/6, -7, -0.3 in ascending order.\nAnswer: -7, -0.3, -2\/9, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 11 + 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -33*y**2. Let x(p) = -4*p**2. What is z(x(m))?\nAnswer: -528*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -83748341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/56 of a week?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 1 - 17. Put -1, -3, 1, o in increasing order.\nAnswer: -3, -1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from msmfefffffffff. What is prob of picking 1 m and 2 f?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {j: 1, n: 1, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006813 rounded to four decimal places?\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*j**3 + 80*j**2 + 6*j**4 - 2*j**4 - 79*j**2 in the form a + u*j**3 + m*j**4 + x*j**2 + r*j and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**3\/6 + 271331*h**2\/6 + 15734675*h\/6 + 228140593\/6 = 0.\nAnswer: -271273, -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 4847 + 488. Let v = 1694 - s. What are the prime factors of v?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 f when two letters picked without replacement from {e: 4, a: 7, g: 4, v: 1, f: 2}.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 3690000 to the nearest 100000.\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(40\/(-12))*5. Let f(n) be the second derivative of 1\/6*n**k + 5\/2*n**2 + 0 + 6*n. Differentiate f(b) with respect to b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111111010011 (base 2) in base 5?\nAnswer: 112201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**2 - 8120*a - 12662778 = 0.\nAnswer: -1203, 5263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-64)\/(-168)*2\/(-8)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90821 or 90624?\nAnswer: 90624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 19*p**2 - 2*p + 43. Let m be g(19). Solve -4*a + 3*a = -m for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/7*(276\/15 + -18)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*r = -238 + 22. Let f(x) = 4*x**3 - 5*x**2 - 8*x - 14. Let i(w) = 7*w**3 - 11*w**2 - 17*w - 27. Let t(s) = 5*f(s) - 3*i(s). Determine t(r).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**4 + 46*g**3 - 418*g**2 - 10830*g = 0.\nAnswer: -19, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 12*t**3 - 111*t**2 - 93*t + 30 = 0.\nAnswer: -1, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3913520 to the nearest 100000.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 + 7*c + 9. Let g be s(-6). Suppose -2*b - g*b = 0, -2*t - 5*b = 216. Is t\/(-16) + 1\/(-12)*-3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17374, -34740, -52106, -69478, -86862, -104264, -121690, -139146?\nAnswer: -156638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 126911050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1 - 2 + 2 - 1548*n**2 + 36*n + 1779*n**2 wrt n?\nAnswer: 462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*t + 12 = 164*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 - 70*a + 5. Let g be h(70). Solve l - 24 = 5*r - 5, -g*r = -2*l + 18 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 - (6\/66 - (-14130)\/(-792))\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**7*f\/(f**(-5)\/f)*f assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 2*q**3\/11 - 6*q**2\/11 - 392*q\/11 - 384\/11 = 0.\nAnswer: -12, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8662, 34705, 78124, 138919, 217090, 312637?\nAnswer: 425560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*k + 4*h - 12, k = -3*h + 11. Is 5 not equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 48\/(-3 - 0). Calculate the greatest common divisor of 136 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -70*l**2 - 7. Let w(j) = 3*j**2. Let n(d) = s(d) + 21*w(d). Let x(q) = q. Give x(n(v)).\nAnswer: -7*v**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 651064?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 10*x - 12. Suppose 0 = -2*g + f + 20, 36*g = 39*g - 5*f - 37. Calculate r(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*z - 2*z + 25480. Let u = -1158 + z. What are the prime factors of u?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 - 802 = -112*y - 109*y. Let v(i) = 7*i**2 + 4*i. Let m(b) = -4*b**2 - 2*b. What is y*m(f) + 3*v(f)?\nAnswer: f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c**3 + 7*c**3 - 3*c**3 - 1213 + 1214.\nAnswer: -10*c**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 180*k + 176. What is n(-2)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 974.3102 milligrams to tonnes.\nAnswer: 0.0000009743102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -432, -1024, -1850?\nAnswer: -2910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -37, -49, -65, -85, -109, -137?\n\"Answer: -2*w**2 - 2*w - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1020 divide 223295084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8082 - -167.\nAnswer: -7915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032 (base 15) in base 5?\nAnswer: 311142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 1 + 0*b**2 - 4 - b**2. Let y = 13 - 1. Let n = y - 15. Calculate i(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 4*y**2 - 7*y - 2. Let f be s(5). Let a = 16 + f. Suppose 3*m = 3*v - 106 + 19, -2*v = -a*m - 66. Is v a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 92577, -8 in ascending order.\nAnswer: -8, -2, 92577","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkt. Give prob of sequence kkt.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1, 3, 19, 55, 117, 211, 343, 519?\n\"Answer: f**3 + f**2 - 8*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/6 - 1\/(-2). What are the prime factors of 17*(-3 - -2)*p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 224 - 230. Let p be (x\/((-18)\/4))\/((-60)\/90). Let u(v) = -15*v**2 + 18. Let w(t) = t**2 - 1. What is p*u(c) - 18*w(c)?\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-306)\/232 + ((-10)\/(-8))\/1\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (14 - 4 - 2). Let k be (12\/y - 1\/3) + 10. Solve -3*z - k - 1 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 60 = 30*c - 34*c, 0 = -3*c + 2*g - 31 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/((-6)\/3))\/(-1) - -9. Solve 0 = -2*a - 0*a + f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34808498 is divided by 828773?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/1787 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -812, 89, 4, 5, 1\/13 in descending order.\nAnswer: 89, 5, 4, 1\/13, -812","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 519414 and 6258.\nAnswer: 519414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8645*l - 16269 + 474454 = 0 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -509225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1300761 + -566031. Suppose -b = -r + 195934. Let a = -1420664 + r. What is a rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - p**2. Let y(c) = -2*c**3 - 8*c**2 + 2*c. Suppose -7 = 2*w - 3*s, 24*w - 5*s + 16 = 25*w. Give w*y(k) - 6*f(k).\nAnswer: 4*k**3 - 2*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 3 - 1) + -3 - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 8 - 17 = 0. Suppose i*g + 36 = 3*o, -2*o + 4 = -o + 3*g. Suppose -3*n + 20 = h + h, o = -5*h. Calculate the remainder when 12 is divided by n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 10:20 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (((-2622)\/(-133))\/(-46) - ((-304)\/7 - -1)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48 - 4) + -4 - -83 - 37?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 4:11 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1334477396 to the nearest integer?\nAnswer: 36530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*a - 4 + 36. Suppose 4*i = m - 4, -3*m + 4 = -0*i - a*i. Solve -2*q = -m + 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 565332707 to the power of 1\/3, to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2.619 times -1528\nAnswer: 4001.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 + 4*i + 7. Let k be w(5). Let y = 3 + 0. Suppose -y = -2*d + 5*b + k, -b + 1 = 0. Solve -4*x + 1 = d for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.01 from -63.\nAnswer: -62.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of r**4\/12 - r**2 + r. Let j = 41 + -33. Suppose -j*l = -2*l - 0*l. Calculate s(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(420)*-2 + sqrt(420))\/sqrt(10))\/(sqrt(6) - 2*sqrt(54)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*q + 9152 = -14*q. Suppose q*w - 5826 = 280*w. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**2 - 110286*o - 34531208.\nAnswer: -(o + 314)*(o + 109972)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98 = 1444*k - 1451*k for k.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 1:10 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9.834 + 0.166. Is -2\/33 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**2 + 8*u**2 - 10*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (2 - 2 - (-7 - 1))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + 39\/(-20 - -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1121\/4, 0.3, 11\/38, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/12 - ((-391)\/6 - 3). Let y = -67 + z. Let o be -2*1\/y - (-3 + -9). Solve -2*p - a - o = -2, p + 2*a + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 2\/11 (c) -2\/1687 (d) -5 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14622647\/67 >= 218247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -4*d - 40. Does 4 divide d?\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 96?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.00879 - 17.00879. What is the fourth biggest value in -131, -0.5, r, 0?\nAnswer: -131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 PM and 9:37 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.029 in -3, 4, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*o*s**3*y**2 + 69*o*s**3 + 11*o*s*y**2 + 2*s**3 + 15*s**2*y + 2*s*y wrt y.\nAnswer: 316*o*s**3 + 22*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:26 AM and 6:54 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 133*24\/1134*258\/(-344).\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 220? (a) -1\/4 (b) -89\/4 (c) -1265 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - x - 1)*(-x**3 - 1 + 1)*(-5*x + 2*x - 6*x).\nAnswer: -9*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 45, -3, 24, 3 in increasing order.\nAnswer: -3, 2, 3, 4, 24, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 92 and 156722?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*n - 29*n + 38. Is n a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6220 = -6*r + 3*y + 6241, -11 = -r + 3*y for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the third derivative of f**5\/15 - f**4\/8 - f**3\/6 + 10*f**2. Let s(i) be the first derivative of -i**3 + i**2 + 3. What is -2*j(m) - 3*s(m)?\nAnswer: m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 + 46. What is the closest to -0.1 in r, 4, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2491?\nAnswer: 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -1032818 (c) -1\/4 (d) 3 (e) 1 (f) -2\/13 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -105 + 224?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -8272.\nAnswer: -1\/1034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4001*s - 96009. Give z(-24).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -7, 394, -3.\nAnswer: -7, -5, -3, 4, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 24188 = -k, 24*k - 25*k = 4*y - 24185. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {g: 4, x: 2}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(1435*d**4 - 1434*d**4 + 2*d**5 + 3*d + d - 1).\nAnswer: -4*d**5 - 2*d**4 - 8*d + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43 - 35. Sort 0.1, 1, o in decreasing order.\nAnswer: o, 1, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*h**2 - 12*h**2 - 16*h**2 - 5*h**2.\nAnswer: -5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, -1470, 4, 17, -67 in descending order.\nAnswer: 17, 4, -4, -5, -67, -1470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 1 - (-3 + 7). Let z = -11 + 6. Let w(c) = c - 5. Let x(q) = q - 2*q + q + 4 - q. What is u*w(o) + z*x(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 5 = -2*c. Let d(j) = 4*j**3 - 7*j**2 - 7*j + 6. Let i(h) = -3*h**3 + 7*h**2 + 7*h - 5. Let r(k) = c*i(k) - 4*d(k). Give r(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019 to seven dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000892834912 rounded to 4 decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8395776 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide -1 + 2 + (-144)\/252 + (-98876)\/(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(20\/(-78)) + (-18 - 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.7. Let j = h - 3.6. What is the second smallest value in j, -1, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 441977\/(-604) - 14\/(-8). Is c not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26364470482137.55 + -26364524889516.04999994. Let x = l - -54407378. Let n = x - -0.5. Round n to 7 decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1720794.\nAnswer: 2, 3, 59, 4861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 9. Solve -b = -5*g + 3*g + 2*q, -2*g + 7 = -q for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/12 + (-15)\/(-6). Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -o + 129138, -o - 25824 = b - 2*b. Suppose -b = 2*y - 5*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h - 4. What is v(-14)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4538, 4533, 4528, 4523, 4518?\nAnswer: 4513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 24191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 6, e: 5, x: 1, c: 1, m: 1, a: 3}. Give prob of sequence xuuc.\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3947*v. Let u(b) = -570*b. Determine t(u(a)).\nAnswer: 2249790*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (752\/423)\/(405\/(-81)*(-2)\/(-5))?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2\/3*p**2 - 10870296 - 5384*p = 0.\nAnswer: -4038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -165169\/27 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, p: 1, x: 2, w: 1, b: 4, t: 3}. Give prob of picking 1 w and 1 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*r + 7*r = -607, -812 = -4*x + 4*r. Is 17 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.756 - -1.508064. Let c = m + 0.248. Round c to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**3 - u + u)*(-15 - 23 + 7).\nAnswer: -62*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 167260 - 164950 = 70*p for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 3*s + 3*f, 2*f = -s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1)*1*-2. Let d = -568 + 363. Let x = 216 + d. Solve -x = n*l - 5*v, v + 3 = -0*l + 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (16008\/(-96))\/(-29)*-4\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 530 + -515. Which is the closest to 0.2? (a) f (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 31 + 47 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**3 + 30*f**2 - 7*f + 43. Suppose -5*r + 5*v - 100 = 0, 3 + 22 = -2*r - v. What is the units digit of w(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 12) + (248 - 272 - (3 - 11))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*d + d + d)*(d**3 + 3 - 3) - 87562*d**2 + 3*d**4 + 4*d**4 + 87601*d**2 to f*d**4 + h*d**2 + i + j*d + u*d**3 and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3776 divided by -2\nAnswer: -1888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1301\/7 - 186. What is the fourth smallest value in p, -0.4, 0.4, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 3*n + 4*z - 1917, 2*z = -2*n + 1276. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/1)\/(3 - 5). Let y be -1 - a - (0 + -3). Calculate the highest common factor of 18 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - 4*l. Let j be u(4). Suppose 0 = 3*x - j*x - 6. Suppose -3*f = 12, 0*i - 2*i + x*f = -58. Is 5 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 24*q**2 + 12*q + 9. Let k be c(-1). Suppose -k*g = 78 - 204. Solve 0 = g*z - 3*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -3*g - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58666790 is divided by 857.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5693 is divided by 119?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 + 33*z**2 + 6*z + 215. What is b(-33)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389949 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 28349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3\/4 - 9585*n**2\/2 + 422829*n\/4 - 581889.\nAnswer: -3*(n - 11)**2*(n + 6412)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - -1 - (-263 + 131 - -99)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-8)\/r)\/(r\/((r*r**(1\/10)\/r)\/r)))**(-22)*(r*r**(-5)\/r)\/r*(r**(-1)*r)\/r*r*(r**(-2))**(-22) assuming r is positive.\nAnswer: r**(1389\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2 + 1)*2. Let s(m) = 3*m**3 + 13*m**2 + 2*m + 9. Let j be s(t). Solve -7 + j = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-72)\/(-4))\/(-1). Let u = b - -3. Let i = u + 18. Which is bigger: i or 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167966074 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4779 a multiple of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.86 + 0.14. Let z = 13.1 - n. Let i = -4 - -3.99. What is the smallest value in i, z, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 25*g + 76. Let p be f(-8). Let k(w) = -2*w + 15. Let t be k(p). What is the greatest common factor of t and 497?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 AM and 7:07 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.138 - -69.862. Let y = -70.13 + x. Let n = -0.1436 - y. What is n rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-12))\/((-5)\/(90\/(-4))). Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*c - 126 + 4*c + 127)*(-3*c**2 + 6*c**2 - 2*c**2).\nAnswer: -8*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -272*d + 15 = -273*d. Let n be 9\/(-3) - ((-78)\/d)\/(-2). Which is the nearest to -1.4? (a) n (b) -1\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*s**5 - 2441*s**4 + 44355*s wrt s.\nAnswer: -600*s**3 - 29292*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 420 and 480.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**3 + 7*l**2 + 123*l + 5. Is x(-11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1703 + 625 + 453 + 625 + 19*j**3.\nAnswer: 19*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**2 + 3*v + 3. Let h(c) = 38*c - 3 - 71*c + 31*c - 3*c**2. What is 5*h(i) + 4*p(i)?\nAnswer: i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*s + 825 = 0, 0 = -2*i - 4*s + 437 - 107. What is the highest common divisor of i and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 416, 821, 1240, 1679, 2144, 2641?\n\"Answer: v**3 + v**2 + 395*v + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - w + 27 = 0, 0 = -3*w - 6 - 9. What is the common denominator of -59\/2 and (-84)\/u*4\/30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - -1 - (4 - 2). Let c(l) = -4*l**2 - 552*l - 551. Let x be c(-137). Sort 68, x, i in decreasing order.\nAnswer: 68, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 32*d**2 - 101*d + 133. What is the remainder when x(26) is divided by 388?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 + 584*d**3 - 7*d**2 + 19*d wrt d?\nAnswer: -48*d + 3504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7629975 and 5325.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 5:33 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 66 and 21945?\nAnswer: 43890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8436240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10, g: 2, l: 1, y: 1}. Give prob of sequence oog.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73562.81t to micrograms.\nAnswer: 73562810000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10605 divided by 15\nAnswer: -707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3*f + 7)*(0*f**3 + f**3 + f**3) - 7*f**3 + 7*f**3 + 3*f**4.\nAnswer: 9*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**4 - 209*n**3 - 1063*n**2 - 1495*n - 642.\nAnswer: (n - 214)*(n + 1)**2*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-12)*c*c**(-9) assuming c is positive.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.1 and -63313?\nAnswer: 63315.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 + 8*j**2 - 36*j + 241. Let p be n(5). Let f(o) be the second derivative of -o**2 + 0 - p*o - 1\/6*o**3. Calculate f(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - t + 5. Let u be v(0). Solve 0 = -u*p - 4*m + 19 - 8, 5*m - 20 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y + 4*i = -10, 2*y + 5*i = -16. What is the third derivative of -5*o**y + o**4 + 0*o**4 + 20*o**2 + o**4 wrt o?\nAnswer: 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -706 + 751 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 584 in -609\/55, -0.4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 12:05 PM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e579 - -5?\nAnswer: 1e57e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -52*z**2 + 8*z - 32. Let o(h) = -48*h**2 + 10*h - 36. Give 5*n(r) - 4*o(r).\nAnswer: -68*r**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24 + -19. Is 2697\/6 - s\/10 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 143 * 0.2923.\nAnswer: 41.7989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 + 1\/(-1079) + 2. Let m = 74465\/15106 + t. Calculate the common denominator of m and -35\/12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*b**2 + 28 - 28)*(3*b**2 + 6 - 6)*(0 + 0 + 2*b).\nAnswer: -72*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 + 0 - -2) + (-14 - (-4 + -9))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -547*y - 154. Is t(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 3 = 3*t. Let n(j) = -3 - 4*j - j - 3*j. Does 15 divide n(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + f + 5*f + (0 + 1 - 3)*(2*f - 2*f - f))*(3*f**3 - f**3 - 6*f**3).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -41.997*0.0217\nAnswer: -0.9113349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -129646550 divided by -235721\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**5 + w**5 + 0*w**5 + (-w**4 + w**4 - 2*w**4)*(0*w - 4*w + 6*w) + (0*w**4 - w**4 - w**4)*(-w + 2*w - 2*w) - 4*w**5 + 3*w**5 + 2*w**5.\nAnswer: -4*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 263 = 26*l - 382. Solve -3*v + l = -3*u, 3*v - 37*u + 40*u - 15 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 12, 13, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -0.5 (c) -5 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -2403.138 to the nearest 10.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -1291*g + 1296*g, 4*g - 46 = -3*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*g**4 + g**3 - 19*g + 17*g + 3*g**4 in the form f*g + l*g**4 + d*g**3 + i + n*g**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-15\/4)*w*w**(-27)*(w\/(w*w**(-18)))**(7\/5) assuming w is positive.\nAnswer: w**(-91\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -3, 30, -48635 in increasing order.\nAnswer: -48635, -6, -3, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/5)\/v)\/(v**(-1)\/v)*(v\/(v**1*v)*v)**(-2\/163))\/((v\/v**(2\/5))**(-46)\/(v**(-3\/5)*v**(2\/5)\/v)) assuming v is positive.\nAnswer: v**(139\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (28\/32 - 1)*182 and -37\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 divided by 1?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -51, -5, 15, 0, -1.\nAnswer: -51, -5, -1, 0, 2, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -70.46 and -0.1355.\nAnswer: 9.54733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 202*o**2 - 1474*o - 7. Give h(-7).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by -224545?\nAnswer: -4\/44909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 82*i**2 + 81*i + 190. Let d be z(83). What is the greatest common divisor of d and 1336?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 547 - -4?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.4 - -10. Let w = 2 - k. Let u be (-11)\/13 + 1 + 0. Which is the nearest to 1\/3? (a) 0 (b) w (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2148285 and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57 or -570?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*x + 55 - 55.\nAnswer: -24*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/(-4)*1\/(-3). Let b = 4 - 3. Which is smaller: b or f?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 214 + -210. Suppose 2*b + 140 = 73*w - 69*w, 0 = p*b. Let d = -8 + 13. What is the greatest common factor of w and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 212*o + 155. What is p(1)?\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1404))\/(sqrt(30)\/(sqrt(30)\/sqrt(3))).\nAnswer: 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 310 = -310 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 8, m: 2}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -971*a = -963*a - 4880. What are the prime factors of a?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/76212 and -133\/76212?\nAnswer: 76212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1501 - 1212. Calculate the smallest common multiple of 4 and j.\nAnswer: 1156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-1\/4)*i)**20*((i**(-11)\/i*i*i)\/i)\/(i\/(i\/(i**7\/i))) assuming i is positive.\nAnswer: i**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74*3\/(-21)*(-448)\/1024*(-4)\/2.\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2. Let v(w) = -107219*w**2. Give v(m(r)).\nAnswer: -1715504*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -102b - 1?\nAnswer: -102c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, -35, 6, 4 in increasing order.\nAnswer: -35, 0, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -36*s + 93, m = -3*s - 3 + 17 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 792700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3440373924 times -0.3?\nAnswer: -1032112177.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2377*r - 1361. Is u(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -21.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5 = 2. Let v(o) = o**2 + 2. Let h be v(0). Factor -18*m**h - 9*m**4 + 36*m**3 - 1 + 3*m + s + 9*m**5 - 21*m**4.\nAnswer: 3*m*(m - 1)**3*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 + n**2 + n - 4. What is m(3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584, -2996, -6592, -10210, -13856, -17536?\nAnswer: -21256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0 - 1\/6*s**3 + 0*s**2 + s. Let n(d) = d**2. Calculate o(n(i)).\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187208548 a multiple of 6703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2.65 and -3.\nAnswer: -5.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**2 - 101*l + 45. Let m(h) = 3*h**2 - 101*h + 65. Give -2*m(a) + 3*p(a).\nAnswer: 3*a**2 - 101*a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**3*o*o)\/(o*(o*o**(-1\/4)\/o)\/o))\/(o**(-1)*o*o)**(-9\/7) assuming o is positive.\nAnswer: o**(71\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (0 + -10 + -1)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-16\/3))**(-7\/2))**(3\/11))**(-21) assuming a is positive.\nAnswer: a**(-1176\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of 1\/30*j**6 + 1\/10*j**5 + 0*j**4 + 11*j - 1\/3*j**3 - 1\/2*j**2 + 0. Factor i(g).\nAnswer: (g - 1)*(g + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 11 + 717*q**2 - 715*q**2 + 389*q - 210*q. Let w(a) = -3*a**2. Give f(w(g)).\nAnswer: 18*g**4 - 537*g**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 46*t**3 - 21*t**2 - 24*t - 1.\nAnswer: (t - 1)*(2*t + 1)*(23*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 12. Let n = h - 9.8. Let p = 2.800058 + n. What is p rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3060 - 1561. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -674482 and -181921.\nAnswer: -856403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) -14.9 (b) -2\/11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 721*p**2 + 2. Let a(k) = 7*k**2 - 2*k. Determine a(s(r)).\nAnswer: 3638887*r**4 + 18746*r**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1633926234.\nAnswer: 2, 3, 859, 317021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -52 - 9*p + 52 + p - p. Let m(z) = 2*z**2 - 68. Give m(a(i)).\nAnswer: 162*i**2 - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110111111101 - 11110010?\nAnswer: 10110100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, 8, 4, -4, 559.\nAnswer: -6, -4, 0, 4, 8, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2 = 7. Suppose -5*g - w*t + 615 = -30, 0 = -g + 2*t + 142. Suppose 0 = f + 33 - g. What is the greatest common divisor of f and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-3))\/(4*(-5)\/120)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 611344 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4 = 0, 4*q = 5*d - 6*d + 969. Does 23 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/56 and -73\/30.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 10. Suppose z = -5*o + 4*o + 153. What are the prime factors of o?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/18 + (-8704)\/(-612). Suppose -4*z = -5*p - 641, -313 = -2*z - 3*p + 4*p. Calculate the greatest common divisor of a and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 - 27 + 97*n**2 - 23 to i*n**2 + t*n + h and give i.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-1) - ((-969)\/57 - (-12 + 1)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**3 - g**3 + g**3)*(-5*g**2 + 5*g**2 - g**2) + 25443*g**5 + 10826*g**5 + 8988*g**5 - 6472*g**5 + 11225*g**5.\nAnswer: 50011*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/15*25\/(7 - 2). Let t be (1 - (-10)\/(-4))\/(-3). What is the nearest to 0.1 in 2\/11, i, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 26 = 4*y - 3*z, -5*y + 4*z + 51 = 0. Let n(o) = -o**2 - 10*o - 12. Let j be n(-9). Put -4, y, j in decreasing order.\nAnswer: y, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h + 15118 = 117349. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 107\/78 + -4\/3. Is -1 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(5 - 5 - 4*a)*(235*a**2 + 225 - 50 - 238*a**2).\nAnswer: 12*a**3 - 700*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 4*p + 20, -4*q - p = -3*p - 24. Suppose q*i - 132 = -4*r, 3*r - 5*r = i - 61. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 17 = 5*h, -x - 3 = -0*x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 101463395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 24*m**2. Let d(q) be the third derivative of q**4\/2 + q**3\/6 - q**2 + 68*q - 1. Calculate g(d(i)).\nAnswer: 3456*i**2 + 576*i + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 6. Let g be m(3). Let i = 3 + g. Let d = i + 12. Solve -4*l = -2*r - 18, -5*l + 14 = r - d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30378367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -565 = -17*k + 336. What is the remainder when k is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -188148, -188202, -188326, -188556, -188928, -189478?\n\"Answer: -6*r**3 + r**2 - 15*r - 188128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-75))\/(6\/60).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -1*2)*-4. Let s = -6 + r. Let o = -50 + 50. What is the smallest value in o, 3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3698367*j + 4 + 3698368*j - 8.\nAnswer: j - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9581.845 micrograms in grams?\nAnswer: 0.009581845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 16 in -1, -9, -4\/7, 21.8, -2\/39, 4\/3?\nAnswer: 21.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/32, -2.09 in increasing order.\nAnswer: -2.09, 1\/32, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 3*r + 3206, -4*c - 2563 = -0*c + 3*r. Let b = c + 1145. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 4:53 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2911921 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 19791067 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0 - 36. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 773926 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/3 + 10*j**4 - 44*j**3\/3 - 1220*j**2\/3 + 814*j - 1210\/3 = 0. What is j?\nAnswer: -11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 11:44 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15*m**3 - 42*m**3 + 13*m**3 - m**3 + m**3 - 2*m**3 + (4*m - 2*m - m)*(3*m**2 - 3*m**2 - m**2) - m**3 - 3*m**3 + 3*m**3.\nAnswer: -48*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 4918125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04118, -0.05, -5, 12, 0.3, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.037 + 0.237. Which is the biggest value? (a) 2\/5 (b) -2\/7 (c) -2 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1736\/280)\/((-1)\/(-5))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*b + 10*c - 15*c, -c = -4. Suppose b = -24*j + 19*j - 5*i + 290, -54 = -j + i. Solve 55 = q + j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -3*c**2\/2 - 537*c\/2 - 2052 = 0.\nAnswer: -171, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3894*i**3 - 15517*i**3 + 3889*i**3 + 3887*i**3 + 3858*i**3.\nAnswer: 11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**3 - 5*c**3 + 11*c**3 - 6*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162404970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -14689\nAnswer: 7\/14689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kwiigkoklkki. What is prob of picking 1 i and 3 k?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11\/(-10)*(-2)\/(-4). Let s = v - -4\/5. Let c = 25 + -25. Which is greater: s or c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-1 + (-6)\/(-4)). Suppose 26 = 4*i + q*k - 4*k, -34 = -5*i + 3*k. Does 5 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 581 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -680124736*n**6 - 86917233*n**2 - 6*n wrt n.\nAnswer: -81614968320*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1905 is divided by 98?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4764765 is divided by 28.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -105 + 104.5. What is the second biggest value in v, 2\/3, -2\/13, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 17*g**6\/30 + 29*g**4\/12 - 3*g + 8. Let p(y) be the first derivative of o(y). Find the third derivative of p(q) wrt q.\nAnswer: 408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5a2b3 - 1?\nAnswer: 5a2b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-32))\/3*(-2432)\/6688?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 29*q - 21*q + 24 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0089891 to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 584, 2117, 4688, 8309, 12992?\n\"Answer: 2*k**3 + 507*k**2 - 2*k + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -2 + 2 + -4 + (-1 + 0 + sqrt(720))**2 + 0.\nAnswer: -24*sqrt(5) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9244, 36346, 81514, 144748?\nAnswer: 226048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-174)\/(-8))\/((-2322)\/(-3096))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (65\/(-10))\/(-13)*5762 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 19) + -3 + 7 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -78 - -78. Let c = -3 + 5. Let z(x) = 3*x**2 + k*x**2 - x**c. Let v(y) = -y**2. Determine v(z(r)).\nAnswer: -4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -13*i - 13*i. Solve 4*l = -2 + i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13.6 in 21, -5, 0.2?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -277, -281, -285, -289?\n\"Answer: -4*x - 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -29. Let t be (-304)\/(-28) + 0 + 2\/14. Let s = i + t. Solve -x = -0*x - s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -7 + 9 + 1 + -12 + 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -57 + 65. Suppose j*w - 9*w + 4*l + 57 = 0, -2*l + 39 = w. Is w less than or equal to 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 94284 (base 14) to base 5\nAnswer: 42412403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 17*h + 3*h + 16*h - h.\nAnswer: 35*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -8031617*d. Let t(b) = b**2. What is t(j(x))?\nAnswer: 64506871634689*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o + 656 = -1108. Is 32 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -116, -2653, -9368, -22349, -43684, -75461, -119768?\n\"Answer: -348*g**3 - g**2 - 98*g + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(3\/5))**(2\/11)*(u**(-2\/9))**(-2\/35) assuming u is positive.\nAnswer: u**(1052\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.5 + -3. Let d = -0.8 + k. Which is greater: -2\/7 or d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/6)*h)\/(h\/h**(1\/5))*h**(2\/5)\/h**5*((h*((h\/(((h\/(((h*h*h\/h**0)\/h)\/h))\/h*h)\/h)*h)\/h)\/h)\/((h\/h**3)\/h))**(-3\/5) assuming h is positive.\nAnswer: h**(-217\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of s**3\/6 - 1002*s. Let m(j) = 0 + 2*j + 0. Give m(i(r)).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 37207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m - 5. Let j be b(6). Suppose -p = -r - 3, r + 3*p - 10 - 7 = 0. Suppose -7 = -r*u + u. Calculate the highest common factor of u and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-32)\/(-160) + 644\/5. Let b = 227 + -136. Let x = y - b. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 28*p**4\/9 - 1846*p**3\/3 + 9826*p**2\/9 - 1700*p\/3 + 784\/9 = 0. Calculate p.\nAnswer: 2\/7, 1\/2, 1, 196","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q + 17. Let u be b(7). Let w(j) = -2*j - 6. Let n be w(-4). Solve u*a = a - n for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5877*h*v - 15256*h + 2*v + 2 wrt v.\nAnswer: 5877*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 - i - 3*i + 4*i**4 - i**4 - 5*i**4 to r + t*i**3 + v*i + o*i**4 + j*i**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 24029 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.2 + 9. Let r = -235\/12 + 81\/4. Let q = -0.2 + 0.1. Which is the nearest to q? (a) 3 (b) t (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9203201\/6 + -1529512. Let u = n - 4339. Calculate the common denominator of -91\/6 and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -857699 - 0.087173?\nAnswer: -857699.087173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -3*p + 2743 - 2752, -4*n = -2*p - 6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 0.05982579.\nAnswer: 0.24017421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4*(v**(-4)\/v)\/v)**(-4\/9)\/((v**(-1\/3))**(-1\/21)*(v**(-1)*v)**6) assuming v is positive.\nAnswer: v**(55\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l - l)*(-81 + 153 + 203 + 36).\nAnswer: -622*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 7493640.\nAnswer: 1\/3746820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 558040 is divided by 652?\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 880 divide 797230265?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 1 = -12*l + g, -5*l + g = 10. Is l < 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -145 - -148.04. Let h = v - 0.04. Let p = -7 + h. What is the closest to -2\/3 in -0.2, p, 3\/2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1978 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-100243)\/(-7) - 328\/(-574)?\nAnswer: 14321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2376686078?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/330)\/((-3)\/5)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1334 divided by -46.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/2 - 0 - (-4 + -7). What is the greatest common divisor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47 - 34. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 8*a**2 - 6*a - 3. Let b = 5 + 9. Suppose -r + 3*r = b. Let m be f(r). Solve -m*i = -3*i + 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*o = 103*o - 183 - 627 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-6))\/(4\/12). Suppose v = -2*z + 7. Put z, 4, -5 in decreasing order.\nAnswer: 4, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -12.99. Which is the closest to 3? (a) 5 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-4)*(-354)\/413. Solve 2*c + 4*o + 2 = 0, -p*c + 1 + 2 = 3*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**5 + 2*l**5 - l**5)*(1 + 10 - 1).\nAnswer: 20*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 0 (c) -2 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 216\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/9*4984\/16. Round y to the nearest ten.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2.75, 739, -0.1?\nAnswer: 2.75","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + m - 15. Calculate a(-12).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 - 51*m**2 + 5*m - 4*m + m.\nAnswer: -37*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 718 and -69.\nAnswer: -49542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 4260 = 839. Let p(d) = 628*d - i*d - 316*d. Let l(q) = -4*q - 2. Give l(p(u)).\nAnswer: -4*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -16*f + 1. Let c(r) = -813*r - 6. Let v(z) = 3*c(z) + 18*d(z). Let s(i) = -i. Calculate s(v(n)).\nAnswer: 2727*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2151 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 0*a**2 - a**2 - 2*a**2 - 9 - 10*a + 2*a**2. Let v be m(-9). Suppose -61 = 2*n - 5*c - 239, v = 5*c + 20. Does 31 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1339039, 1339031, 1339023, 1339015, 1339007?\nAnswer: 1338999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 + 6.8\nAnswer: 6.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*s = 9*r - 13*s + 38, 2*s + 2 = -5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*p = -p + 3, -p - 1 = -5*x. Suppose -11*j + 8*j + 18 = x. List the prime factors of ((-1260)\/(-10))\/(9\/j).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**2 - 28*b + 100. Let w(t) = -t**3 + 22*t**2 - 35*t + 263. Let u be w(21). What is o(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a microgram in nanograms?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 55799273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2358*d*x + 1380*d wrt x.\nAnswer: -2358*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hoyyhyhyhokhhkykhyo?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -4. Let i(b) = -b**3 + 4*b**2 - 15*b + 66. Let w be i(4). Solve -w*d - h = -d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 13\/(-2) - 2\/(-4). Let l(m) = -m**2 - 7*m - 1. Let g be l(y). Suppose -5*o + 188 - 53 = -g*v, -o - 3*v + 43 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5938?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 295 - 297. Let p(q) = 2 - 3*q**2 - 2*q**2 + q**2 + 2*q**2. What is p(u)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148706 is divided by 1316?\nAnswer: 1314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7936150.4 rounded to the nearest one hundred thousand?\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -1309*d + 42. Let r(l) = 262*l - 8. What is 4*p(q) + 21*r(q)?\nAnswer: 266*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 271767707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 + 11*w**2 + 14*w - 17. Let p = -71 - -83. Let q be s(p). Suppose -3*v - q*v = -12590. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 2230*z**3 + 2068*z**3.\nAnswer: -162*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 712667 and 1066609.\nAnswer: 4783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-70)\/735*(-9)\/20?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 7*u + 3. Let p be s(4). Let j(a) = -5*a**3 + 3*a + 2. Let m be j(p). Solve 1 = -y - m for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00011947 rounded to four dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -8. What is the smallest value in g, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51 - 48. Sort -6, -0.4, 4, y in decreasing order.\nAnswer: 4, y, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 6*j**2 + 4. Let o be ((-4)\/(-6))\/((-10)\/(-45)). Suppose -14 - 16 = -o*l. What is the remainder when x(5) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= -41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 0*c**4 + c**2 + 0*c + 0 - 1\/2*c**3 + 1\/20*c**5. What is the tens digit of h(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 571600 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4250 and 550.\nAnswer: 46750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -6060250?\nAnswer: 6060252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 2*u**3\/3 + 16*u. Let c(k) be the first derivative of k**2\/2 - 1. What is c(d(m))?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 > 9989?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 5. Suppose 199 = v*h + 64. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -9*t + 60. Suppose -4*b = -t*y + 14, 1 + 3 = -2*b. Let w(k) = k**3 + k**2 + k + 1. Determine w(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u - 1\/4*u**3 + 0*u**2 - 4 = 0.\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-73.2\nAnswer: 14.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4343, -4252, -4077, -3800, -3403, -2868, -2177, -1312?\nAnswer: -255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3*b - 48 = 0, -4*b - 4 = -16. What is m rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the second derivative of -2 + 0*l**6 + 0*l**3 + 0*l**5 - 77\/12*l**4 + 95*l - 125\/42*l**7 + 0*l**2. Find the third derivative of z(j) wrt j.\nAnswer: -7500*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8182, -16359, -24536?\n\"Answer: -8177*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0203 + 61.4203. Let v = i - 61. Which is the closest to 0.1? (a) 1\/4 (b) v (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3 - 1831611*b**2 - 279574813344*b - 2516024961792 = 0.\nAnswer: -305264, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-7))\/(10\/(-7))?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/13 (b) -2\/149 (c) 1\/2 (d) -11.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1438253 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2628*n**2. Let s(k) = 50*k - 468. Let o(t) = -23*t + 216. Let c(f) = -13*o(f) - 6*s(f). Determine x(c(p)).\nAnswer: -2628*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - k - 16. Suppose -3775 + 63 = -k*n. Let l = 7439\/8 - n. Is 3 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15068298.8055 - -0.059.\nAnswer: -15068298.7465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2789 - 2778 = 290*h + 5743 for h.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 91.94, -1\/4, -3 in increasing order.\nAnswer: -3, -1\/4, 1, 91.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21105?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - 0.1. Let w = j - -5.1. Sort 0.2, -2\/9, w.\nAnswer: -2\/9, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.1 > 124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/(2511\/2387) + 170.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 922 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 336.95961 rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-180))\/(1*4\/(-8))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2115, 4230, 6345, 8460?\n\"Answer: 2115*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 246254519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 550850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 181564*n**3 - 704*n - 234 wrt n.\nAnswer: 1089384*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 5*t**2. Let d(b) = 4*b**2 - 256*b - 908. Give d(s(g)).\nAnswer: 100*g**4 - 1280*g**2 - 908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -142 + 232. What is the greatest common divisor of 80 and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 813478 is divided by 947.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3549?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.31297 + 140.44297. What is o rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 5*r + h - 26, -r + 7 = -h. Suppose 10 = 4*a - r. Suppose a*u = 2*f + 21 + 41, 3*f - 3 = 0. Calculate the lowest common multiple of 34 and u.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 - -33\/2. What is the nearest to q in -2, 1\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225746 is divided by 75247.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*i = 3*n + 118*i - 942312, -20 = -5*i. What is n rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 18*k**2 - 24*k + 5. Let i be d(-19). Suppose 28*j + i = 29*j. Does 50 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 45 + 543. What is the least common multiple of 1568 and c?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 463755425?\nAnswer: 5, 7, 311, 8521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, y: 3, h: 5}. What is prob of sequence lhly?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41907*h**2 - 41871*h**2 + 83784*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:59 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2726 and 90074.\nAnswer: 4233478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -1. Suppose o*v = 292 + 188. What is the tens digit of (1\/2)\/(6\/v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1872.674 times 8.4?\nAnswer: -15730.4616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6484 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - (sqrt(704) + -1*sqrt(704)))*-4 + sqrt(704) + sqrt(704))**2.\nAnswer: 2816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(2\/21)))**(7\/10) assuming b is positive.\nAnswer: b**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 4*u - 2 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61 + 54)*((-4)\/(-4) - 0).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4357\/765 + -7\/85. Find the common denominator of w and ((-7)\/80*-14)\/((-1)\/(-4)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.034*1.553\nAnswer: 0.052802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 + 19*k + 27. Let u be c(11). Calculate the remainder when u\/(-14) + (-965)\/(-35) is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*m - 92 + 8 = 0. Is 12 a factor of (6*m\/48)\/((-1)\/(-224))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/10 in 3, 5, -58, 0.03, 2?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-46746)\/84*1582\/(-21).\nAnswer: 7, 53, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -20\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 10, 6439 in descending order.\nAnswer: 6439, 10, 7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2331702 is divided by 761?\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*f + 23 = 0, -12*d = -15*d - 2*f + 5. Suppose 2*v + 30 = 2*k, 0*k - 50 = -d*k + 4*v. Solve -4*g = b + 12 + k, 4 = 3*b - 2*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 66, 61, 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222772407 is divided by 1890?\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence odxx when four letters picked without replacement from {m: 1, o: 1, a: 1, x: 2, d: 1, t: 2}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25680\/21 + 9*(-4)\/(-252)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -6*o - 8. Let c be o\/9*(-4 + -8). Which is bigger: c or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136.53 + 136.5300007187. What is n rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3355913 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 99837132 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -386.3 + 371. Let b = 14 + w. Let s = -2.6 + b. What is s rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5832*f**5 - 7610*f**2 - 2.\nAnswer: 349920*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/((sqrt(72)\/sqrt(4))\/sqrt(9)))\/(sqrt(1575)*6).\nAnswer: sqrt(5)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 382506401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 331 + 118*q + 883 - 60*q - 60*q - 355 + q**2 to t*q**2 + z*q + n and give n.\nAnswer: 859","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72712507?\nAnswer: 7, 163, 63727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = -4*k, -3*i - 1 = 2*k + 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 58 = 5*t, -4*t = -i + t + 39. Suppose d = -v - 13, 2*v + d - i = -48. Which is greater: v or -18?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 2:40 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -17*-369898\nAnswer: 6288266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 4*f**2 + 4*f + 4. Let v(o) = -3*o**2 - 4*o - 3. Let w(z) = 3*i(z) + 4*v(z). What is the second derivative of w(m) wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of a**6\/60 + a**5\/20 + a**4\/6 - a**3\/6 - 3*a**2 + 1819*a. Let j(c) = -c**2 - c. Calculate 5*j(x) + u(x).\nAnswer: 2*x**3 - 2*x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 173587 is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/5 of a meter?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-168)\/(-32)*(-16)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**7*n*n\/n**2*(n*n**(2\/5))**(-5\/4))\/(n**(-1\/2)*n*n**(1\/3))**(-50) assuming n is positive.\nAnswer: n**(407\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/22*(-11)\/(-3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of 4*k**2 - 3\/20*k**4 + 0*k - 2\/15*k**3 - 2\/25*k**5 + 0 - 1\/60*k**6. Determine b so that r(b) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 76, 191, 352, 559, 812, 1111?\nAnswer: 1456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 205258 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * -0.274.\nAnswer: -0.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26\/3*3 + 0. Let a be (-16)\/(-56) - b\/(-7). Suppose 5*l - 2*d = 3*l - a, -3*l - 5*d = -34. Calculate the remainder when l is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 277*v**4 + 2*v - 3346?\nAnswer: 1108*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 5 - 14, 3*n - 2*l + 12 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*i + 708 - 3273 = 0, -2*i = 2*z - 1018. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 2:24 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00612985868 to six decimal places.\nAnswer: -0.00613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n + n**3 + 0*n - 4 + 3*n**3 + 3 to b*n**3 + d + m*n + v*n**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in -1530, -1.4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 360947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/(-1) - 14\/28. Suppose q = 79*t - 75*t - 40. Is 10 >= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1097283444.\nAnswer: 2, 3, 91440287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 + 68 + 54 + 69 - 5793*g.\nAnswer: -5793*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 11. Give n(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 539 and 187.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 920622*k. Let z(y) = 2*y**2. Give z(x(o)).\nAnswer: 1695089733768*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(2057)*5 + 2*(-1 + sqrt(2057) - sqrt(2057)))**2.\nAnswer: -550*sqrt(17) + 51450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -536 + 527.8. Round b to the nearest ten.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 31*m + 7. Calculate the remainder when 105 is divided by g(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 616810.2 centuries?\nAnswer: 61681020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -92*r**2 - 2*r - 65766*r**3 + 65892*r**3 + 4*r wrt r?\nAnswer: 756","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -260.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**2\/7 - 1723017*n\/7 - 18952824\/7 = 0 for n.\nAnswer: -574328, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37.091 - -0.091. Let p = 79 + z. Let l = -53.7 + p. Round l to the nearest integer.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12121144224 (base 5) to base 10\nAnswer: 14240564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g**3 - 845*g**2 + 6 + 845*g**2.\nAnswer: 17*g**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/((-1)\/10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/100 - 11*a**4\/60 + 6*a**3\/5 - 18*a**2\/5 + 1047*a. What is p in l(p) = 0?\nAnswer: 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1471*h - 64 = 1455*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5402997.\nAnswer: 3, 97, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 26*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2747.163539 + 0.063539. Round y to the nearest 10.\nAnswer: -2750","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + d - 3*d. Let v(k) = 1. Let x(s) = -s**2 - 2. Let o(q) = -2*v(q) - x(q). Determine o(a(h)).\nAnswer: 49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -r**6\/3 - 263*r**4\/4 - r**2 + 255*r - 349. What is the second derivative of n(c) wrt c?\nAnswer: -40*c**3 - 1578*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1018254 is divided by 36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + (1 - 710\/(-6)). Let z = 116 - q. What is the second smallest value in 1\/17, z, 2\/11, 1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2110 + 2110 + 3*r**4 + 9*r + 2*r**4 - 3*r**4 + 0*r**4 + (0*r + 2*r - r)*(2*r**3 - 3*r**3 + 0*r**3).\nAnswer: r**4 + 9*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2 + 2 + 2*y + 2*y + 0*y - y - 2 + 2 + (0*y - 2*y + 0*y)*(-4 + 4 - 2) - 1 - y + 1)*(4 + 0 - 5).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 1. Determine s(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*l - 32, 0*l + 4*u = 5*l - 62. Suppose -3*h - 4 = -l. Suppose h + 34 = 2*i. What is the remainder when i is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -405 + 407. Let t(z) = 0*z**2 + 4*z**2 + 6*z**d + 5*z**2 - 11*z**2. Let w(x) = 8*x**2. Give w(t(p)).\nAnswer: 128*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q + 75 = -3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -239.\nAnswer: -3\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4201361 is divided by 134?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 11*d**2 - 10*d + 4. Let b be f(-10). Suppose -b*j + 3*j = -42. Suppose y + 16 = j. Does 19 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 3. Calculate o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkokroorgrorr. Give prob of sequence rr.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 18. Suppose 2*k - 5 - 1 = 0. Suppose 0 = -0*r - r - k. Put q, r, 1 in increasing order.\nAnswer: q, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -196*x**4 + 9531256*x**3 - 115877606356*x**2 + 99318410736*x - 21282141456.\nAnswer: -4*(x - 24314)**2*(7*x - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 584759 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.501614 years in months?\nAnswer: 42.019368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -47, -60, -61, -44, -3?\n\"Answer: v**3 - 20*v - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1882 is divided by 921.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 44 + (562 - 585) - 120.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 135\/358 + 22\/179. Sort 30, -2, 0.08, l in decreasing order.\nAnswer: 30, l, 0.08, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.34 - -0.06. Let s = -0.5 + r. Let n = -2\/105 - -44\/105. Is n != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 3*s**2 + s + 1. Let m be t(-2). Suppose m*i + 3*i = 396. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -33 - (-160 - (-93 - -22))?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 305725843 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -18. Let n = a - -42. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41102417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -166510574\/7 less than -23787226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -51 - 435. Let h = 1117 + u. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from xxxqxxxxqddxqdxxqdq.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -315 + 315 - 21*j - 11*j to the form y*j + c and give y.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/54090 and 17\/1803.\nAnswer: 54090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3 + 44*o**3 - 54*o**3 + 3*o**2.\nAnswer: -10*o**3 + 3*o**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, m: 3, p: 2, t: 2, z: 2}. Give prob of sequence zztt.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of p**4*q - 1251*p**4 - 16*p**2*q - 10*p*q - 4*q - 110 wrt p?\nAnswer: 12*p**2*q - 15012*p**2 - 32*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -247*a - 55*a - 2563 - 4081 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/1370 and 43\/535484.\nAnswer: 366806540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-4 - -7)) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1056854947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193067 - 387920. Let z = p - -57853. Round z to the nearest 10000.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-14)\/(-21))\/(1\/(-15)). Let z = 12 - f. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -3*y**2 + 8*y - 32. Let d(i) = 5*i**2 - 14*i + 56. Let w(v) = -4*d(v) - 7*h(v). Let q(z) be the second derivative of 17*z**4\/12 - z. Give q(w(s)).\nAnswer: 17*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 245.0165us?\nAnswer: 245016.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xbwxbbwhbbwwwwwbxw. Give prob of sequence wx.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**3 + 6*x**2 - 2*x + 4. Let y = -55 + 49. Give v(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 2*d. Let x be k(-2). Let n = 0 + x. Suppose m - 14 = -n. Round m to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -462402 divided by -6\nAnswer: 77067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -270*b - 72*b. What is the biggest value in 4, 0.08, 4\/5, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 75404 and 245683.\nAnswer: 321087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-1\/3)*t*(t\/(t**(-5\/3)*t*t))\/t*t**9\/(t**9*t) assuming t is positive.\nAnswer: t**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 0.01, 5\/16, 2\/11 in descending order.\nAnswer: 0.4, 5\/16, 2\/11, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, 7, -2, 10, -54, 2 in ascending order.\nAnswer: -54, -2, 2, 5, 7, 10, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 171 and 2147.\nAnswer: 19323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 8 = -3*f, -6*f + 3*f - 8 = -5*d. Let g = -2 + f. Calculate the remainder when 7 is divided by g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 3*b + 3. Let q(z) = -11*z + 83. Let t be q(8). Let h(r) = r**2 + 3*r - 4. Calculate t*x(u) - 4*h(u).\nAnswer: u**2 + 3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13312 and 52736.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19333\/2856 - 142\/21. Let a = -203\/136 - z. Let j = 43 - 47. What is the closest to 0 in j, 0.1, a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dockfkkkffkkkoomokmo. What is prob of picking 1 o, 1 m, and 1 c?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 31, 5, -5 in decreasing order.\nAnswer: 31, 5, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17\/2 - 89\/10. Are w and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 174. Calculate the remainder when z is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 44 and 748.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9771*b + 3911624 = 9937*b. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + t - 115936 = 0, -c + t - 2*t = 38652. Let m = 467028676 - 39233655095\/84. Let w = c - m. Find the common denominator of 73\/8 and w.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636 divided by 89.\nAnswer: -636\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -3*v**2 - 5*v. Let s(k) be the first derivative of k**2 - 236. Calculate s(n(u)).\nAnswer: -6*u**2 - 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 103734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t + 435. Let c(z) = -8*z - 3. Determine o(c(h)).\nAnswer: 16*h + 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**4\/4 - 10*q**3\/3 - 8*q**2 - 4*q. Let v be r(-14). Is 18\/(-63) - v\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, 0.00538, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = c - 10 - 13, 4*c - 47 = -3*y. Suppose 8 = -d - 5*g + 19, 0 = -3*d - 3*g + y. Let q(s) = -4 + 6 - 3*s + d. Give q(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, r: 15}. Give prob of sequence rm.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3167 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + (-122)\/8)*39\/2. Let s = -262 - a. Calculate the common denominator of s and 45\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = -2*r + 24, 7*s + 22 = 5*r + 10*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9876036917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from onnnobon. Give prob of picking 1 n and 1 o.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s**3 + 150*s**2 + 292*s + 201. Calculate f(-48).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 263*d + 1068. Let j be a(-4). Solve 4*n + w = j, 0 = -0*n - 3*n - w + 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12304 + 270641\/22. Find the common denominator of -99\/4 and g.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 490.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(1\/7))\/f**(-6))**5)**(-17))**30 assuming f is positive.\nAnswer: f**(-122400\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*q = -109*q - 52. Suppose -8 = 7*g + q. Let j(p) = 13*p - 3. Let c(w) = -27*w + 6. Let f(k) = -6*c(k) - 13*j(k). Determine f(g).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -273 + 329. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -3 + 3 + sqrt(112) + -3 + sqrt(112) + -1 - (sqrt(112) - (3 + sqrt(112) + -3) - (sqrt(112) + ((sqrt(112) + 2)*5 - sqrt(112)))))**2.\nAnswer: 384*sqrt(7) + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6480739 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113231 - -11?\nAnswer: -113220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*b = 10*b - 79259 + 403187. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let x(l) be the third derivative of -13*l**4\/8 + 84*l**2. What is x(c(t))?\nAnswer: 39*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 35689 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34274 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.0512 times 11897\nAnswer: 609.1264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*s + 355*s + 5180 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - u - 8*u + (-1 - 1 + 0)*(-4*u + 3*u + 0*u) - 2 + 2 - u)*(-3 + 5 - 1)*(-1 + 1 - 2) + 2 + 6*u - 4*u - 5*u.\nAnswer: 15*u + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-27))\/(-2) - -2)*32\/100?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 3:29 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - (1 - 0)) + (-6)\/(-2). Let g be 294*(2 - (a - 0)). Suppose u - 239 = -2*f - 2*u, -g = -5*f + 2*u. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**4 - 222167816*d**3 - 8226422929589760*d**2 - 101535902846156083295200*d + 203071838598005662292000 = 0 for d.\nAnswer: -37027970, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 10, -6, 2 in ascending order.\nAnswer: -6, 2, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 6*l + 80. Let n be 4\/((45\/l)\/(-9)). Sort n, 3, 2 in ascending order.\nAnswer: 2, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2027, -4594, -7701, -11354, -15559, -20322, -25649?\n\"Answer: -b**3 - 264*b**2 - 1768*b + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 3, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 7*f**2 + f - 6. Let h be j(7). Let u = 304 - 308. Which is the nearest to h? (a) -1\/3 (b) -2 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-24))\/(450\/600)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 678\/265 (b) 3 (c) -4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57, -76, -107, -156, -229, -332, -471?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -70 from 0.17.\nAnswer: 70.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34 - 7872*g**2 + 18 + 7874*g**2 - 17*g to z*g + t*g**2 + j and give j.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -141874 less than -141874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**4 + 3*t**2 + 6*t. Let s(x) = -3*x**4 - 4*x**2 - 7*x. Let a(w) = -4*o(w) - 3*s(w). Find the second derivative of a(h) wrt h.\nAnswer: 12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a8 (base 12) in base 8?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1414, -2393, -3182, -3685, -3806, -3449?\n\"Answer: 16*k**3 - k**2 - 1088*k - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 55.9203l?\nAnswer: 55920.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -337*t**2 + 155*t**2 - 2 - 1965*t**2 + 2 to f*t + k*t**2 + z and give k.\nAnswer: -2147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -63703 less than -63706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 22906910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 45 + -40 - (1 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*-0.045.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a century?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (6 - 0) - (-3 + -5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393 by -73861.\nAnswer: 393\/73861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 5*k**2 + k - 1. Let a be p(5). Let g = a - -5. Let y be (-46)\/(-2415) - 13794\/(-3465). Solve -y*l = -g*l + 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9052942110?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p - 8 = 0. Find o such that -3*o**2 + o**4 + o**2 + 2 + p - 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 341 + -336. Let j(y) = -y - 6. Let z be j(-6). Suppose d*w - 7*w + 8 = z. Solve h - 17 = w*h - 2*p, 4*h - 3*p + 24 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -1.4, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 992*m - 990*m - 1 + 0 - 65*m**3 + 1.\nAnswer: -65*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 10*x**3 - 6*x**3.\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**2 - 33*n - 93. Let y be a(19). Put -6.28, y, 5 in decreasing order.\nAnswer: 5, y, -6.28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/266 and -13\/49567447?\nAnswer: 693944258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*o**3 - 10*o**2 - 22*o - 10218 wrt o?\nAnswer: 6*o**2 - 20*o - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -2*p**3\/3 - 2*p**2 + 950*p - 320. Does 10 divide f(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 g when two letters picked without replacement from afjjjgfjz.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1220 - -22101310?\nAnswer: 22100030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = -5*o - p + 824, 0 = 3*p - 9. Calculate the greatest common divisor of o and 74.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + (-800)\/(-40) + 71\/5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 542.393 - 530.4. Let f = 0.07 + 11.93. Let x = s - f. Round x to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 + 17*w**2 - 25*w - 134. What is the tens digit of u(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -4 (c) -5\/4 (d) 2001\/5 (e) 3 (f) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -102, -841, -2832, -6699, -13066, -22557, -35796, -53407?\n\"Answer: -104*t**3 - 2*t**2 - 5*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y**5\/5 + 4*y**4\/5 - 2244*y**3\/5 - 21172*y**2\/5 + 448*y + 21168\/5 = 0.\nAnswer: -14, -1, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*d - d + 74 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 - a**4 + 2*a**4 - 2*a**4 + 5*a**4 - 4*a**4 + (-3 + 1 + 3)*(-2*a**4 + 3*a**3 - 3*a**3) - 62*a**4 - 84*a**4 + 1293*a**4.\nAnswer: 1146*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4204754.\nAnswer: 2, 37, 56821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19414?\nAnswer: 2, 17, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 399 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-26))**48\/(v**(3\/25))**(-17) assuming v is positive.\nAnswer: v**(-31149\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 AM and 4:19 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3025533 (base 6) to base 15.\nAnswer: -2c946","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.02 times -0.5?\nAnswer: -2.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**42)**36*g**(-2\/3)*g\/((g\/(g**10*g*g))\/g) assuming g is positive.\nAnswer: g**(4573\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q + 8. Let l be c(6). Let o = l + -6. List the prime factors of 44\/6 + o\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -e64c1?\nAnswer: -e64c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -24.4. Suppose 5*b + 10 = 2*c, 2*b - 19 + 7 = 4*c. Let s = -3 - c. Sort s, i, -2\/3 in ascending order.\nAnswer: -2\/3, i, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 1174 - 382 = 0. Suppose 0 = -5*t + 4*i + 102, 5*t + i - 4*i - d = 0. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 4*o**2 + o + 1. Let u be g(4). Suppose -11 = -u*s + 54. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2016714 to the power of 1\/3, to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z**5\/7 - 12*z**4\/7 + 39*z**3\/7 - 4*z**2 = 0. What is z?\nAnswer: 0, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -40 - -57 - (-348)\/(-20).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 5*t + 1. What is the remainder when u(4) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.92 - -0.08. Let h = p + -54.9999528. Round h to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 4*w + 156, 3*r - 32 - 24 = 2*w. Let y = 74 + w. Put -1, -4, y in descending order.\nAnswer: y, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 35*p**2 - 8*p + 66. List the prime factors of t(6).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**6*l**0)\/(l**0\/l)**(4\/5)*l\/(l\/l**(-1\/12))*l**(-3)*l*l**(-1)*l*l*l*l*l**(-2)*l assuming l is positive.\nAnswer: l**(-257\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4045 + -2323. Is j a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -264.1 + 208. Let p = x + 60. Round p to zero decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 l when three letters picked without replacement from ljlljjlllljjjllllll.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 8:13 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/50870505 and -59\/60.\nAnswer: 203482020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a factor of 185730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7305*t = 7286*t + 104899. List the prime factors of t.\nAnswer: 5521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 16*p**2 + 42*p - 32. Let l be w(13). Let a(c) = c + 5. Let o(u) = 1. Let t(q) = -a(q) + o(q). Give t(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.5, -0.2, -2\/5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + 189. What are the prime factors of v?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 3215222452?\nAnswer: 3215222453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1, 2\/75141, -2\/15?\nAnswer: 2\/75141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49777?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-54692)\/(-110) + (-36)\/6. Are 491 and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1946 - -1842. Let g = 7617 - y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 32 (b) -2 (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 22391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 3*f**2 - f - 7. Let i = -12 - -9. Let q be g(i). Let r be -4 + q\/(-8)*9. Which is greater: r or -2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175648759 rounded to the nearest one million?\nAnswer: 176000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 265 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3504*t - 42 = -3513*t + 3*x, 6*t - 29 = x for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*b + 385, 3*b + 17 - 8 = 0. Let z be k - 2 - 4*2. What is the highest common divisor of 60 and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 6*j + 5*g - 31 = 0, -5*j - 3*g + 30 = 0. Let s(a) = 3*a**2 + 5 - a + 2 + 3*a**2. Does 9 divide s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 297*i**3 - 1629*i**3 + 5.\nAnswer: -1332*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -9\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -191 + 92. Let l = f - -102. Suppose l*q - 72 = q. What is the greatest common divisor of q and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -537 plus -17?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 17*r - 11. Let z be w(17). Let f = 8 + z. Is (251\/3)\/((-1)\/f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -897029 divided by -3\nAnswer: 897029\/3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*v - 70*v = -564. Let o = v - -76. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 821*b**4 + 8552*b**2 + 185*b - 7497?\nAnswer: 9852*b**2 + 17104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*d**3*y**2 + 31*d**3*y - 16*d**3 + 8*d**2*y**2 - 207*d**2*y - y**2 wrt d?\nAnswer: 30*y**2 + 186*y - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 14*i**2. Let k(a) = -16*a**2. Calculate k(o(b)).\nAnswer: -3136*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 0.59835585?\nAnswer: -1.09835585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l - 1. Let i = -47 - -41. Determine g(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/2)\/u)**(-13\/3)*(u**1)**30)\/(u**(-1\/3)\/u**(-2)*u**3\/(u**5\/u)) assuming u is positive.\nAnswer: u**(215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/2460 and 157\/660.\nAnswer: 27060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.09417 - -0.10583. Sort 14\/295, w, 0.4 in increasing order.\nAnswer: 14\/295, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2605\/9 + -289. Let y = -2\/45 + u. Find o such that y*o + 2\/5*o**2 - 2\/5 - 2\/5*o**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(-2)\/2 + 480 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*4951\nAnswer: -9902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 208751 to the power of 1\/2, to the nearest integer?\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 90 = 5*j, -9*j + 2*i - 96 = -13*j. Calculate the remainder when 39 is divided by j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - (1*sqrt(539) + sqrt(539))) + 4 - (4*(0 + sqrt(539)))**2 - (1 + sqrt(1584))*3*3.\nAnswer: -8629 - 115*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -105 (b) 0.4 (c) 0.3 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of t**5\/20 + t**4 - 4*t**3 - 5*t**2 - 25*t. Does 39 divide a(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 - (7 + -16 + 8) is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -4)\/1 + -1. Suppose 18 = 2*l - 3*i, -i + 29 = 5*l + g. Find the second derivative of -8*h**3 + 14*h**3 - l*h + h - 6*h wrt h.\nAnswer: 36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 2) in base 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 v when three letters picked without replacement from xwllvhvvlvvxv?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0018447884 to 6 decimal places.\nAnswer: -0.001845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of s**4\/4 + 5*s**3 + 14*s**2 + 14*s + 1379. Give q(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the second derivative of -g**3\/6 - 13*g. Let t(y) = -4*y**2 - 7*y. Let p(w) = -3*w. Let c(s) = -5*p(s) + 2*t(s). Determine c(n(f)).\nAnswer: -8*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 956292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2230.3 and 303.\nAnswer: -1927.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f + f + 4*f**2. Let c(g) = 61*g**2 + 59*g**2 - 122*g**2. Give t(c(h)).\nAnswer: 16*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 10*d - 4. Let c(a) = a**2 + 9*a + 3. Let w(i) = 6*c(i) + 5*p(i). Let j be w(-7). What is the greatest common factor of j and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(625)\/sqrt(5) - (sqrt(5) + 5 + 4*sqrt(5))) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4405.04 minutes to microseconds.\nAnswer: 264302400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 3*x**2 - 17*x + 15. Let q(s) = s**2 + 3*s + 2. Let w(g) = g**3 - 25*g**2 - g + 21. Let a be w(25). Let k be q(a). Is j(k) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*r**3 + 74*r**2 - 70*r**3 - 74*r**2.\nAnswer: -42*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 34.9. Let d = 5 - l. Let k = d + 0.07. What is k rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1 - 22*u**2 + 9 - 12*u + 23*u**2. Let a be s(9). Let f be a\/2 - 6\/(-12) - 1. Which is smaller: f or -8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(15\/(-2))*6. Let v = 8 - c. Suppose v*w - 3*w - 15 = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 8 = -4. Suppose -2*t = 7*t - 5*t. Let k be ((-18)\/u)\/(-3) - (t - 13). What is the highest common divisor of 48 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -218191834*r**4 - 193515994*r**2 wrt r.\nAnswer: -5236604016*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 28958*c\/3 - 28960\/3.\nAnswer: 2*(c - 14480)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4445068157 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the first derivative of -2*m**5\/35 - m**4\/7 - 2*m**3\/21 + 1. Suppose n(i) = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, j: 3, g: 1}. What is prob of picking 2 j and 1 g?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 3*w**2 - 3*w. Let n be g(2). Let f(u) = -1886*u - 175. Let q(a) = -377*a - 35. Let c(p) = 2*f(p) - 11*q(p). Is c(n) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1126*c**2 + 1254 wrt c.\nAnswer: -2252*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 - 2123?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 338, -1 in ascending order.\nAnswer: -1, 3, 5, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 - 21. Suppose 0 = x*t + 6, -t = 4*m - 902 - 411. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 3. Let r be p(6). What is the remainder when 0 + 5 + r - -3 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 79*m + 246 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2837479.\nAnswer: 19, 149341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is aaa13 (base 14) in base 12?\nAnswer: 17b409","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 28940.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 16\/12 + (-1544)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 20*n**2 + 54*n + 36.\nAnswer: 2*(n + 1)*(n + 3)*(n + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, r: 3, k: 1}. What is prob of sequence kr?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 7)*(0 + 0 - u**4 + (2*u**3 + 3*u**3 - 3*u**3)*(9*u - 2*u - 5*u))*(-2 + 4 - 1) to o*u**3 + w*u**2 + i + f*u**4 + r*u and give f.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*t**2 + 68*t**2 + 75*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -5 + 31. Let l(o) = o**3 + 14*o**2 + 14*o + 11. Let d be l(w). Does 11 divide 174\/((-8)\/(-4) - d\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((2 + -2)*1)\/1. Suppose -t = -6*n + 2*n + 71, 4*t + 3*n + 246 = w. What is the units digit of ((-1)\/(-3))\/((-3)\/t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -2. Let j = 4\/3 + f. Let i be ((-6)\/(-21))\/((-4)\/(-7)). Which is the third biggest value? (a) j (b) 0 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 1699 = p + 1697, z + 28 = 5*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4719529 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/11, 0.1, -3, 2\/23?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*b + 49*b - 103*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/4 - 2699*m**4\/2 + 3400803*m**3\/2 + 328758470*m**2 + 26432950225*m\/4 + 70387741875\/2 = 0. What is m?\nAnswer: -150, -11, 2785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2001 + 5776 - 1777 + y - 1998.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 3*j - j - 36, -4*g - 168 = -2*j. Let q = -30 - g. What is the smallest common multiple of 12 and q?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one twentieth of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 398.1689 micrograms in milligrams?\nAnswer: 0.3981689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 - 47 - -12) + (7 - (11 - 5))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44 or -3\/4727?\nAnswer: -3\/4727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -313 - -4071\/13. What is the nearest to -8 in 0.4, h, 2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*v - 3*h, -2*v + 4*h + 22 = -h. Does 6 divide 2 - (3*-3 - v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o. Let k(h) = 35*h**2 + 923. Determine k(i(j)).\nAnswer: 140*j**2 + 923","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 8 = t. Let k be (-3404)\/45954 - 128\/(-270). What is the closest to 0.1 in k, -3, t, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - ((sqrt(7) - sqrt(7)*2)**2 + 2))*-2 - (sqrt(784)\/sqrt(7) + -1)**2.\nAnswer: -95 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + 5*b**2 + 9*b - 9. Let r be t(6). Let h = r - 3. Let w be (-1 - -2) + -1 + (5 - -1). What is the highest common factor of h and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z = -10 + 25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7781?\nAnswer: 31, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of -73*z + 20*z**3 - 96*z + 20*z - 23*z**3 - 1. Let t(i) be the first derivative of -i**3 - 2. Determine t(o(l)).\nAnswer: -972*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*v + 25*y = -64*v - 105, -4*y - 24 = v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f + 11. Let b(p) = 4 - 7*p + 13*p - 7*p. Let x(a) = -11*b(a) + 4*q(a). Let w(i) = 11*i**2. Determine x(w(c)).\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-1 - 30) - 7\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.1273 * -1\nAnswer: -0.1273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*l = 22, 2038*b - 2038*b + 5 = 5*l + 25 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 53*o - 59*o. Does 11 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l + 6*l - l**2 + (l - 2*l + 3*l)*(0 + 3*l + 0) as z*l + u + q*l**2 and give q.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -2)*(-260)\/20. Let p(g) = g**3 - 12*g**2 - 15*g + 17. Give p(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5017, -20732, -47141, -84238, -132017, -190472, -259597?\n\"Answer: f**3 - 5353*f**2 + 337*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 - 5*v**2 - 4*v + 3. Let r be s(-4). Let f = 12 - 7. Let h(d) = 2*d + 2*d**2 + d**2 - f*d - 4 - 2*d**2. Determine h(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*sqrt(171) + 2)**2.\nAnswer: 126*sqrt(19) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 plus -1.079?\nAnswer: 3.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 1 + 3)*(-2*s**4 + s**4 + 0*s**4) - 11*s**4 + 20893 - 20893 + 16*s**3 as c*s**2 + r*s + q + k*s**4 + z*s**3 and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 - -3.2. Sort -2\/5, p, -4\/5 in decreasing order.\nAnswer: p, -2\/5, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.1043?\nAnswer: -0.3129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/4 of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299?\nAnswer: 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 123, 117, 103, 75, 27, -47, -153, -297?\n\"Answer: -h**3 + 2*h**2 - 5*h + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-241*s + 125*s + 113*s - 317)*(-996 + 9*s + 996) in the form q + f*s + h*s**2 and give h.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141157.\nAnswer: 141157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 5*y = 12, 37*y = 36*y + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122 divided by 2.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 52.42.\nAnswer: -5.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 1:08 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + 0 - (-305 + 316).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -o + 4. Suppose -3*y + o*d - 6*d = -79, y - 4*d = 53. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 399?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 4*t - 12. Let d be g(6). Let y = d - 12. Which is smaller: -6 or y?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 6\/25 of a meter?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 1:56 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, k: 8, f: 7}. What is prob of picking 2 k?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -o**3\/3 - 6475*o**2\/3 - 3501344*o - 24403764 = 0. What is o?\nAnswer: -3234, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 8*i**2 - 2*i - 1. Let m be -2 + 1 + -8 + 11. Suppose -m*f = -3*f - n, 4*n + 8 = 0. Give g(f).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 33*u + 23. Let f(r) = -22*r - 9. Let k(a) = -7*f(a) - 5*w(a). Let v(h) = 2*h. Give k(v(m)).\nAnswer: -22*m - 52","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.009 + 0.409. Let h = -1.7 - -1.4. What is the smallest value in h, 0.5, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:12 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - (-3 + 2))*-1. Suppose -5*p = 3*a - 27, 0*a + a = j*p - 31. Factor u**5 - u**3 - 2*u**2 - 2*u**5 - 5*u**3 - u**5 - p*u**4.\nAnswer: -2*u**2*(u + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j + 11. Let x be l(-29). Let b be (-1 + 6\/(-9))*3. What is the units digit of (-4)\/6 - 66\/x - b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/89 (b) 2\/15549 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qssqq. What is prob of picking 2 q?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 100 = -6*a. Suppose 4*i = -i + a. Suppose 5*p + 4*o = 16, 0*o = i*p + 2*o - 14. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let b be j(0). Suppose 3*h = k + k + 20, 4*k = -3*h - 4. Let v(g) = -g**3 - 7*g**2 - 2*g + 19. Let z be v(-6). Put k, b, z in decreasing order.\nAnswer: b, k, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m + 1)*(-144*m**2 + 144*m**2 + 64*m**3).\nAnswer: -64*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 6*g**2 - g + 4. Let c be -1 - 2 - 2\/2. Calculate a(c).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y**3\/7 + 972*y**2\/7 - 16356*y\/7 + 8140 = 0. Calculate y.\nAnswer: -259, 5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 divided by 2.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - y = -4300 - 11897, 4*p - 21597 = -y. Does 54 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 666438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of r**3*w**3 + 41078*r**3*w*y + 8*r**2*w**3 + r**2*w + 245*r*w**3*y wrt r?\nAnswer: 6*w**3 + 246468*w*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xv when two letters picked without replacement from {x: 1, v: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -72621 (base 9) to base 3\nAnswer: -2102200201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -138, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2987, 6033, 9135, 12299, 15531?\nAnswer: 18837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 304515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i - 8. Let z be b(2). What are the prime factors of 96 - (0 + 2)*z\/2?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -72*r. Let j be (-8)\/44 - (-212808)\/132. Let h(i) = -1608*i + 3224*i - j*i. Determine h(b(u)).\nAnswer: -288*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/(-36) - 4\/6 - -2. Suppose v*z + 2*z = 5*z. Suppose 3*g - 918 = -2*g + 3*r, -2*g + 3*r + 360 = z. Does 30 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(-11))\/b))**(-1\/50)*(b**(-23)\/b)\/b**(12\/7) assuming b is positive.\nAnswer: b**(-893\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 45201*n + 45201. Let g be b(-1). Let l be (1 - 0) + 2539\/(-2541). Do l and g have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2535120 (base 6) in base 14?\nAnswer: -38008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1810, -1831, -1884, -1981, -2134, -2355, -2656, -3049?\nAnswer: -3546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3*h. Let u(i) = 2*i**2 - 15*i + 12. Let a be u(7). Let k = -5 - -35. Let c(y) = a*y**2 + 30*y - k*y. Calculate c(l(n)).\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 2633184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -26*t**2 + 794*t - 280. Let l(h) = 27*h**2 - 798*h + 280. Let f(i) = -5*k(i) - 4*l(i). Factor f(n).\nAnswer: 2*(n - 35)*(11*n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -219 + 141. What are the prime factors of 69*y\/(-9) - (-3 - 1)?\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 877991 is divided by 908.\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 9. Let r be f(-13). Let j(c) = c**2 - 5*c + 6. Let p be (1 - -2) + -2 + 3. Let y be j(p). Solve 3*k = y + r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-2)\/6*-3*4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from {l: 3, d: 1, n: 2, e: 3, j: 1, t: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 300203 - -110?\nAnswer: 300313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-8)*(-2)\/(-30)*2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 10*a**5 - 5*a**3 - 10*a. Let h(p) = -9*p**5 + 4*p**3 + 9*p. Let m = -13 + 8. Let n(b) = m*h(b) - 4*c(b). Find the second derivative of n(d) wrt d.\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6147 - 6147. Let u be (7 + -1)\/(-4 - -6). Let j = 5 - u. Which is the second smallest value? (a) j (b) -2\/5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -38*h - 3. Let z(q) = -42*q - 1. Calculate o(z(j)).\nAnswer: 1596*j + 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-5 + 2*z + 5)*(-6 + 4 + 6).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 432*p - 11664.\nAnswer: -4*(p - 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 567157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13030 is divided by 6463?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(900) - (sqrt(900) + 4*sqrt(900))) + sqrt(900))\/(sqrt(15)\/sqrt(3)*-6).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10976611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -3*l + 0*l**2 + 0 - 1\/20*l**5 + 0*l**3 - 1\/6*l**4. Let v(h) = 0. What is h?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -32800.31 - -32636. Let s = 163 + i. What is s rounded to 1 decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4*k - 8*i**3*k - 5486*i**2 - i*k + 4*i - 4*k + 5196 wrt i?\nAnswer: 24*i**2*k - 48*i*k - 10972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7523447 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 929706 (base 11) to base 5.\nAnswer: 340212243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 42345 or 42338?\nAnswer: 42345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2aa85 - -382?\nAnswer: 2b137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 4. Suppose -z - 4*y = -71, -116 = 6*z - k*z + 5*y. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484.235430038 plus 0.07?\nAnswer: 484.305430038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 36\/702*26*(-6)\/(-80)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-402817)\/(-1)*71 - 4 - 3. Round m to the nearest one million.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/5*-1*(-3)\/3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2010cd3a + 4?\nAnswer: -2010cd36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1147 divided by -9491?\nAnswer: 1147\/9491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 30045 = 30045?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -7*w + 60. Solve 5*x = 3*z - w, -x = -2*z - 3*z + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 358*w + 4*w**4 + 3 - 6*w**4 - 2*w**3 - 357*w to q + z*w**2 + b*w + y*w**4 + h*w**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 12:46 AM?\nAnswer: 4:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15114400 divided by 350.\nAnswer: 43184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05583554 and -0.5.\nAnswer: -0.02791777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -267 (base 10) to base 6.\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1925*u + 1928*u = -5*b - 20, -17*b + 2*u - 68 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 16 = 4*i. Let w = -5 - -2. What is the remainder when i is divided by 3 - (w\/(-3) - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 250?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(144) + -2*sqrt(144) + sqrt(144))\/(sqrt(8) + sqrt(800) + sqrt(800)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12203967, 48815870, 109835709, 195263484, 305099195?\n\"Answer: 12203968*a**2 - a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -348*y**3 + 3077*y**2 + 18951976.\nAnswer: -1044*y**2 + 6154*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(-b + 0*b + 5*b)*(-141 + 48 + 73 - 2*b).\nAnswer: -8*b**2 - 80*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -1\/8 (b) -1 (c) 16 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 8 (c) 30.2 (d) 0.192 (e) 3\/8 (f) 11 (g) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10*m - 20*m + 15*m)*(96 - 207 + 69) - 1 + 0*m + m + m)*(-1 - 2*m**2 + 1).\nAnswer: 416*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y**3 + 24*y**3 + 115*y**3 + 33*y**3 + 30*y**3 - 241*y**3.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 704875, 1409754, 2114635, 2819518?\n\"Answer: u**2 + 704876*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a hour in minutes?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 56. Let y be 18\/q - (-21)\/4. Suppose 0*d + y = 2*d. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29946636?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 1, 4, 0.4, -63 in descending order.\nAnswer: 4, 1, 0.4, -2\/7, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15\/52 + 7\/13. What is the nearest to 1 in p, -4\/3, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-10)*(1365\/30)\/(-91)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 24 - (-775 - -791).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, c: 4, s: 3, w: 1, r: 2, k: 1}. Give prob of picking 1 w, 1 s, 1 t, and 1 r.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 2*m + 3. Let p be x(-2). Let w = 15 - p. What is the highest common factor of 96 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -110 + 130 = 4*d. Solve -3*c + 8 = -c - 2*k, 5*c = -d*k + 30 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.065, 0.2, -0.07?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**2 + 4*k**2 + 3651 + 88*k**3 - 3720 wrt k?\nAnswer: 528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/(-9))\/(4\/(-6)). Let x be 19*(-2)\/4 - s\/2. Let a be (x\/27)\/(-1 + 5\/6). Solve 2*p = -a*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (243*a**2 - 246*a**2 + 0*a**3 - 2*a**3)*(5*a - 5*a - a).\nAnswer: 2*a**4 + 3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 470368055 to the power of 1\/3, to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a803 (base 15) to base 4.\nAnswer: 231300210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 3*g + 628 = 0. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9874534, 39498120, 88870770, 157992490, 246863286?\nAnswer: 355483164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 2*q**2 + 8*q - 2. Let v = 14 + -9. Let c(r) = -3*r**2 - 15*r + 5. Let z(o) = v*u(o) + 2*c(o). What is the second derivative of z(f) wrt f?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-27) + (5\/((-105)\/196) - -8)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6384023872 to the power of 1\/4, to the nearest integer?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 3, -3\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 214138991642 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 14 - 6, r - 2*i = 10. Let p(k) = 50*k**2 - 2*k - 4. Let m be p(-1). Let v be (-64)\/(-11) - m\/(-264). Solve r*h - 20 = v*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n - 6*i - 12, 2*i - 29 - 16 - 35 = -5*n - 60 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 9) in base 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c - 1. Let y be 6*-1*2\/(-3). Let r be s(y). What is the greatest common divisor of 77 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**3 + 70*r**2 + 70*r + 76. Let s be f(71). Solve 6*j - 7*j - 23 = s*b, -2*b - 2 = 4*j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/309 and -49\/69113.\nAnswer: 207339","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*i - 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b - 4. Let l be z(9). Suppose 0 = -l*t - q + 471, -7*t + 293 = -4*t - 2*q. What is the greatest common divisor of t and 38?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 12*o**2 - 11*o**2 + 11*o**2. Let h(q) = -q**2. What is h(l(g))?\nAnswer: -144*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of -1\/6*k**3 + 8*k**2 + 4*k + 0. Let x be d(14). Solve 2 = x*r + 4 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -7, 3, -13, 1.\nAnswer: -13, -7, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:13 AM and 4:29 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -50*p + 71710. Let c(i) = -23*i + 10244. Let t(d) = -20*c(d) + 3*v(d). What is the first derivative of t(h) wrt h?\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 860*o**2 + 209*o - 880*o**2 + 312*o - 521*o.\nAnswer: -20*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 5 - 4036*t**3 + 4035*t**3 + 0 + 4 - t + t**2 - 3*t**4 in the form c*t**2 + o + x*t + n*t**4 + s*t**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1\/4 (b) 1\/2 (c) -0.7 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -89 - -49. Let u = -16 - t. What is the greatest common factor of 36 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*d**2*h**3*l**3 - 3*d**2*h**2*l**2 - 2*d*h**3*l**2 + d*l**3 - 85*d*l - 2*h**3*l wrt d.\nAnswer: 56*h**3*l**3 - 6*h**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {c: 3, a: 9}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - k**3 + 28*k - 36*k**2 + k**2 - 2 - 27*k in the form f*k**3 + v + i*k + p*k**2 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 4*w - 18*w + 0*w + 13*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*g - 2, g + 14 = 4*x - 2*g. Suppose x*l - 6*l = -4, -3*l + 183 = 2*i. What is the remainder when i is divided by 16\/(-8)*31\/(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 5\/2*p + 3*p**2 = 0. Calculate p.\nAnswer: -3\/2, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.5 (c) 0.5 (d) 1 (e) -10274 (f) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.92659 to 2 decimal places.\nAnswer: -1.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (26 + -11 - 7) + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = -5*h + 54*f - 52*f, 40 = -4*h - 5*f for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 7 = -q + 3*q, -q - 3*k = 2. Let p be (1 - 1)\/(-3 - q). Suppose p = -4*t + 77 + 115. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence imi when three letters picked without replacement from mmimmi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-2)*y)\/(y*y\/(y*y**(-4)))*(y*(y**(-2\/19)*y)\/y*y)\/y**(-2\/11) assuming y is positive.\nAnswer: y**(225\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 5*n + 3. Let z(k) = -k**3 + 4*k**2 - 3*k + 3. Let t be z(3). Is l(t) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1310, 2808, 4680, 7112, 10290, 14400, 19628?\n\"Answer: 31*c**3 + c**2 + 1278*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.173, -0.2, -20, 58 in ascending order.\nAnswer: -20, -0.2, -0.173, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m - 22. Let s = -46 - -67. Calculate the remainder when s is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-15) - 1 - (-366)\/15. Suppose -6*r + 11*r - 80 = 0. Calculate the highest common factor of z and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/20)\/(342\/95)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10573 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1039, 3, -5, -6, -4, 8 in decreasing order.\nAnswer: 8, 3, -4, -5, -6, -1039","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -678 + 678 + 427*d**2.\nAnswer: 427*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (19 - 13 - (9 - (-2 - -15))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17 + 13. Let s = -1 - q. Solve 7 + s = -2*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1100))*-2)**2 - sqrt(1100) - (sqrt(1100)*-1 + sqrt(1100) + -3).\nAnswer: 70*sqrt(11) + 4407","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-99 + 29 - 8)*((-3*p + 3*p - 2*p)*(p**2 - 2*p**2 + 3*p**2) + p**3 - 3*p**3 + 3*p**3) to the form h + f*p**2 + v*p**3 + t*p and give v.\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-3)\/30*-5). Suppose -5*m - 5*q = -20, 5*m + 0*q - 23 = -a*q. What is the highest common factor of m and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, h: 2}. Give prob of sequence zzhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 - 10*a**2 + 5*a**2 - 12*a**2 + 6*a**2.\nAnswer: -23*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 5 + 40 + (-4 + 3 - 1)*(3 + 1 - 2))*(5*z**4 - 4*z**4 + 2*z**4).\nAnswer: 84*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4 and -25.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by 8673?\nAnswer: -2\/1239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q = -4*q - j - 12, -3*q + 20 = 2*j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence npu when three letters picked without replacement from {u: 2, n: 2, p: 5}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 106\/31 equal to 3\/4066?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 675 - 3 = 4*l - 4*q, 2*q = -5*l + 819. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*p + 346*p - 88*p - 83*p.\nAnswer: 469*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -84111219 - -0.0608776.\nAnswer: -84111218.9391224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in -1318, -9, -2, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 140 - 84. Is 13 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ellj when four letters picked without replacement from {j: 2, l: 4, e: 6}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000235 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -132 + 8 + (135 - 57)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 3*v**3 - 7*v**2 - 89*v. Let t(k) = -13*k**3 + 31*k**2 + 356*k. Calculate 2*t(g) + 9*u(g).\nAnswer: g**3 - g**2 - 89*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (8 + -12)) + (1 - -1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1 - (8*15\/20 - 140))*75?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1012948?\nAnswer: 2, 73, 3469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, -2, 0 in decreasing order.\nAnswer: 0, -2, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 15*h + 390 = 0. Let a(b) = -15*b + 6. Let f be a(4). Let p = f - h. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -14*k + 2*k**3 + 11*k + 4 + 6*k**2 + 11*k**3 - 17*k**3. Let n(a) = 3*a**3 - 6*a**2 + 2*a - 6. Let j(q) = -4*d(q) - 5*n(q). Determine j(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-3))\/(m*m*m**(2\/7)))\/(m\/m**1*m**5*m) assuming m is positive.\nAnswer: m**(-72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 0. Suppose 4*z - n = 2*i - 27, -3*z - 53 = -4*i. What is the units digit of (i\/6)\/((-2)\/(-6))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**3\/6 + 3*g**2\/2 + g. Let c = 10 - -3. Let s = c + -16. What is u(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 27 and 102302703?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 - 9*m**3 - m**2 + 16.\nAnswer: -9*m**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of h**4\/6 + 7*h**3\/6 - 5*h**2 - 3*h. Let d = -29 + 42. Is n(d) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 481*i**2 - 29*i**2 + 1 + 89*i**2 - 190*i**2 in the form k + j*i + u*i**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + a + 12 = 0, 5 = -a + 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13889 + 13889.02. Which is the nearest to l? (a) 0.3 (b) -78\/7 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*v**3 - 2271*v**2 + 3804*v - 1524.\nAnswer: -3*(v - 1)*(v + 254)*(3*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 74865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 8*m**2. Let w(l) be the second derivative of 23*l**3\/3 - 224*l + 1. Give w(q(b)).\nAnswer: 368*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*b**2 - 2*b**3 - 102*b**2 + 171*b**2.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 58669259?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6929740 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 267043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*w - 33*w - 1779 = -12881 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 32 - -2 - (11 - (31 + -25))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.73 + 0.1.\nAnswer: 5.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7721 and 406?\nAnswer: 447818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + 4*z - 20. Let u = z - -19. Suppose -u + 5 = -t. Solve -f = -3*d + 6, 5*f = -t*d + 7 + 20 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-5)\/(-4))\/((-68)\/272). Let y = -5 + 5. Let x = y - -0.1. What is the closest to x in 3\/2, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*u - 8*u + 84. Let x(j) = 871426*j - 18. Let k be x(u). Round k to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 387 (base 9) to base 11.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 u, and 1 p when four letters picked without replacement from zuwuzdwppnzzzpz.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 24 = -4*g - h, -2*h = 5*g + 14. Is (g + -2)*(-1623)\/18 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r + 2 - 6 + 32*r.\nAnswer: -2*r - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1824 or 19524?\nAnswer: -1824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4425751659 + 4425765412.0190512. Let h = m - 13753. Let n = -0.019 + h. What is n rounded to six decimal places?\nAnswer: 0.000051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 18*a**2 - a - 15. Let b be f(-18). Suppose -3*l = 4*u - 597, -b*l = -3*u + 34 + 440. What are the prime factors of u?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.26653l in millilitres?\nAnswer: 66266.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/36 - 33\/(-18). Let q(m) be the third derivative of -3*m**b - 3\/20*m**5 + 0 + 0*m**3 + 0*m + 0*m**4. Let u(y) = -2*y**2. What is q(u(w))?\nAnswer: -36*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -255026 - 0.42982693.\nAnswer: -255026.42982693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186552 divided by 46638.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 22709 + -22689. Solve 63*v + 16 = 67*v + 4*y, 5*v - 4*y - o = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 115033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 10:54 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8907444 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3094 rounded to the nearest 100?\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.8 + -0.2. Let r = 5 + u. Suppose 8 = 4*b, 0 = 3*p - 3*b - 13 + 4. Sort r, p, -3 in decreasing order.\nAnswer: p, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2894 - 3304. Does i = -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/11 and 22\/23.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -9, -4 in decreasing order.\nAnswer: -1, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 376940 (base 10) in base 11?\nAnswer: 238223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m = -421 + 131. Are m and 28 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 16592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 53 - 73. Suppose 5*s - o + 537005 = 0, -i*o + 5 = -20. Let n be (s\/(-2))\/((135\/(-500))\/(-9)). Round n to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 z when four letters picked without replacement from {z: 4, g: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*x**2 - 103*x**2 + 2*x + 0*x - 2*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -5)*20\/30. Sort 0.1, i, 1, 2\/23 in increasing order.\nAnswer: i, 2\/23, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (7 - (-171)\/(-27))\/(4\/390). Suppose -14*f = -f - t. Solve 1 = s, 8*d + 3*s - 3 = f*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -5935\/1653?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11414*v**3 - 3836*v**3 - 7575*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0 + (-6)\/34. Let w be (-1 + 50\/(-6))*(-144)\/14. Let o = 101 - w. Which is the third biggest value? (a) f (b) 2\/11 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 divided by 5.\nAnswer: 44\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -78 - -142. Let z be (-2 + -1)*4\/(-3). Suppose -4*u + 3*f - f + d = 0, 0 = 4*u - z*f - 68. Is u a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-7 + -2 - -1) + -125) - (-17 + 15)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 41*x**2 + 94*x + 765. Let m be c(38). Solve y + 15 = -4*h, 17*h = m*y + 15*h + 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 + 5.05. Let o = t - 4. What is the closest to o in 0.1, 0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 11 + 1. Suppose -6*u = -3*u + p. Let t = 5 + u. Which is greater: -1\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 443991 = -3*j, 4*w + 3*j - j = 443994. Round w to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of -a**5\/20 + 11*a**4\/12 - 2*a**3 - 9*a**2 - 23*a. Let n be z(10). Let g = 198 + n. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 3*d - 4. Let h be r(-5). What is the highest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.068613 + 553\nAnswer: 552.931387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + 21021212100110220?\nAnswer: 21021212100110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89662?\nAnswer: 2, 127, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 64438900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-12)*47\/(-2679)*38.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 204.8 - -5.7. Let a = -210.49998999 + i. What is a rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*j - 3*j. Let b(t) = -2*t**2 + 16*t + 2. Let i be b(j). Let g(m) = 0*m**3 - m + 3 - i - m**3 + 3*m**2 + 0*m**3. What is g(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1*-2*3*(sqrt(4212) + -2 + sqrt(4212))*6*-5)**2.\nAnswer: -4665600*sqrt(13) + 546004798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 AM and 4:34 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -188 by -1.\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 742 divide 190949248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuz when three letters picked without replacement from zyufu.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 26\/5 + (-3)\/15. Let b(w) = n*w - 1 - 2*w**2 + 3*w**2 - 9 + 4. Let a be b(-7). Solve -5*i + 32 = 3*t, -8 = -4*t + a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times 22?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9666 divided by 2934\nAnswer: -537\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10333*r - 78*r**2 + 20655*r - 10323*r - 7*r**4 to the form u*r**4 + p*r**3 + g + m*r**2 + o*r and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 214652, 214646, 214640, 214634?\nAnswer: 214628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b = 23*b - 12. Let z = 0 + 4. Suppose -z*a - 518 = -b*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104062.3 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*d + 39, 3*d + 26 = -2*h + 4*h. Calculate the remainder when h is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 - -24. Factor -10*c**3 + 0*c**4 - 2*c**h + 4*c**5 + 5*c**4 + 3*c**5.\nAnswer: 5*c**3*(c - 1)*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1126*o**3 + 71 - 47 - 24 - 2436*o**3.\nAnswer: -3562*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 4*n - 4, -n - 1 = 3*c - 0*n. Suppose 48 = 2*z - 0*b - 5*b, b + 143 = 5*z. Let p(o) = -59 + z + o + 27. What is p(c)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -61625212, -61625201, -61625176, -61625131, -61625060, -61624957, -61624816, -61624631?\n\"Answer: y**3 + y**2 + y - 61625215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25779588, -25779594, -25779602, -25779612?\n\"Answer: -z**2 - 3*z - 25779584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -4, -1\/8, -0.117, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 225994 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: Four letters picked without replacement from kttvttvtkvvtkvtvt. What is prob of sequence tktt?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -117065, -234136, -351215, -468302, -585397, -702500?\n\"Answer: -4*x**2 - 117059*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -10*l + 5*l - 2*l. Let x(g) = -2*g**2. Give x(q(v)).\nAnswer: -98*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3737\/48 + -469\/6. Let w = u - 3\/16. Which is the closest to w? (a) 5 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -p - 5*o, -93*p = -98*p - 5*o - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 6*p + 21. Let x be f(0). Let i(b) = 7 + 5*b + 21*b**2 + x*b**2 - 41*b**2. What is the units digit of i(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250471692 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 9 = -27. Suppose n - 3*s - 5 = 0, -k*s + 25 = 5*n - 2*s. Solve u + 4*v - 2*v - 7 = 0, n*u = -2*v + 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 4. Let p be f(-4). Let g(a) be the first derivative of -3*a**2\/2 + 29*a + 223. Is g(p) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 872 + -500. Let k = z + 181. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14987222077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1749 + -1747. Solve 5*z = b*h - 24, -4*z = -4*h + 13 + 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 5*g - 29, 5*u - 30 = -3*g - 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aacswsss. What is prob of sequence sw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 + 38. Let t = -984 - -989. Sort t, z, 0.\nAnswer: 0, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30529947 * 6.1\nAnswer: 186232676.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -11, -10, 1, 28, 77, 154?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 - 101402*v + 101402*v + 6*v**3.\nAnswer: 6*v**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rag when three letters picked without replacement from agarryayarryray?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3a + -1?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -8*b + 9. Let t be s(-8). Let p = t - -1. Calculate the remainder when p is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**6\/120 - r**5\/15 + r**4\/6 + 13*r**2 + 27. Let f(o) be the second derivative of y(o). Determine j, given that f(j) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 2*m**3\/13 - 26*m**2 + 2252*m\/13 + 2592\/13 = 0.\nAnswer: -1, 8, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.25 + 4.3. Let w = 4 + o. Which is the second smallest value? (a) w (b) -5\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 251 (b) 5.9 (c) -0.5 (d) 3 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 3\/32 of a second?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 108 = g. Let u = 1.9 + -1.5. Which is the second biggest value? (a) g (b) u (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15\/(-90)*-4)\/(-2)*(-371)\/(-106).\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 0.4 (b) -33 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**4\/3 + 5446*g**3\/3 + 157940*g**2 + 3561432*g + 6505632 = 0. Calculate g.\nAnswer: -42, -2, 5532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6253573?\nAnswer: 6253573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-42)*-1*(-2)\/2*-1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6*(-5 + 20\/(-4)). Suppose s - r + 0 = -56, -s - r = y. Let p = s - -118. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 398054354 and 1.\nAnswer: 398054355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 2, r: 4, o: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33 or 385\/12?\nAnswer: 385\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -5790.0262 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qp when two letters picked without replacement from dpqpqdpqddp.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528098661?\nAnswer: 3, 5233, 11213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + -4 + 9 + -7 + -70 + 91?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 11*z - 8. Let r(b) = -12*b + 9. Let w(p) = 5*r(p) + 6*s(p). Differentiate w(l) with respect to l.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2178*o**4 + 6842*o**3 + 820*o**2 - 328*o - 48 = 0.\nAnswer: -3, -2\/11, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*y**4 + 95*y**2 wrt y.\nAnswer: 384*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3)\/((-6)\/4) + 2888606\/(-56763)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 4764.\nAnswer: 42876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 11 = 3*f, -83129*w - 3*f = -83130*w + 2 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 131, -0.04, 2?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -76 < 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**7\/210 + 239*q**6\/120 - 65*q**3\/3 - 395*q**2. Find the first derivative of w(s) wrt s.\nAnswer: 4*s**3 + 717*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.1, 0.2, -0.131?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1170? (a) -5 (b) -2\/23 (c) -1\/9 (d) 0.1 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 8*t - 3. Let g(w) = w**2 - w + 1. Let u(l) = -2*g(l) + r(l). Let p be u(-3). Solve -p*m = 8 - 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4438 and 213341.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1032211011 + 2?\nAnswer: -1032211003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*p - 82*p + 2706 = -16*p for p.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -11 (b) -1\/8 (c) -2\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 23, -0.9, 0.18?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 179 = -5*p, -125 = 3*p - 2*d - 3*d. Let m = 20 + p. Does 2 divide (-4 - 50\/m)\/((-4)\/30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126661?\nAnswer: 23, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4473 and 84.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -110, 0.2, 25 in decreasing order.\nAnswer: 25, 0.2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b - 4*b)*(58 - 15 + 52)*(-18 - 3 - 8).\nAnswer: 5510*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oy when two letters picked without replacement from {o: 1, w: 2, y: 1, t: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 1236 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-12\/5)*f)\/f)\/(f\/f**32)*f*f\/(f*f\/(f**38*f)*f)*f**(-25)\/f*f*f)**(1\/42) assuming f is positive.\nAnswer: f**(71\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 12*z - 168. Let d(q) = -3*q**3 - 49*q**2 - 14*q + 52. Let k be d(-16). Give l(k).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-1) - (3 - 1827)\/4. Let p = r - 310. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 390\/9 + (-6)\/18.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -r**3 - 24*r**2 - 84*r + 1552. Determine z so that l(z) = 0.\nAnswer: -14, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55\/(-10) + (-17 - 1159\/(-57))\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -839, -1879, -3335, -5207?\nAnswer: -7495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2 - 2)*(184390 - 381124 + 190316).\nAnswer: 6418*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 761 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-1) + (12 - -61). What is the greatest common divisor of 33 and i?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279993474 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127\/3 + -42. Let p = 0.07 - -0.13. What is the smallest value in a, p, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -20 and 10.3.\nAnswer: -206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) -81 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*x = 2*x - 48. Suppose -z - x*l = 2, 9*z = 12*z - 5*l - 28. What is the lowest common multiple of 27 and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36\/10 + (-2)\/(-5). Let x(b) = b**3 - 31*b - 18. Let d be x(0). Find the common denominator of (-3)\/(d\/o) - (-1435)\/(-168) and 41.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 768, 1629, 2572, 3591, 4680, 5833?\nAnswer: 7044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 5:06 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2288*u**5 - 2359*u**2?\nAnswer: 137280*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2954 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11518 divided by -1?\nAnswer: 11518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 758*j - 80. What are the prime factors of r(6)?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -l**3\/3 + 9167*l**2 + 27502*l\/3 = 0.\nAnswer: -1, 0, 27502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 8, h: 7, q: 5}. What is prob of sequence dhhq?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubbewwlwgblwwluub. Give prob of picking 1 b, 1 e, 1 g, and 1 w.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o**2. Let i(a) be the first derivative of 0*a - 22 - 1\/2*a**2. What is i(w(n))?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7858, -15767, -23676, -31585, -39494, -47403?\n\"Answer: -7909*q + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -294, -294, -284, -258, -210, -134, -24, 126?\nAnswer: 322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 + 3*l - 4. Let q be b(-5). Suppose q*f - 4*f - 206 = 0. Suppose 4*j - 2*w = -j + f, 1 = w. Round j to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3*x**2 + 7953*x - 204746. What is t(26)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 2*l + l. Suppose -h = 5*y - 16, -2*y - l = -2*h + 7*h. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 475*h**3 - 245*h**3 - 229*h**3.\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 11:20 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -4349 (base 16) to base 15\nAnswer: -5185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31150144 is divided by 44.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v - 25 = 0, -3*f = v - 2578. Suppose -x - 855 = -f. Solve 0 = 5*j + o + 3, -2*j - x*o = -3*o - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k + 4. Calculate f(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + o**2 - 1)*(-369 + 720 - 366 + 9*o) in the form w*o + n + z*o**2 + x*o**3 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 7:44 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 13011482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11081?\nAnswer: 7, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than -1259?\nAnswer: -1268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -5. Calculate the smallest common multiple of 1*o\/25*-5 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 3*j**2 + 5*j + 6. Let o be (6 + -14)\/(-2) + 89\/1. Let k = 89 - o. Determine d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239826*u - 239822*u - 2*p + 2 = 0, 2*u + 16 = -2*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 373232458 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -48*c + 18*c + 101 + c**3 + 28*c to d*c**3 + o*c + g + h*c**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*c**4 - 1473774*c**3 + 39406653 wrt c.\nAnswer: -60*c**3 - 4421322*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 8, 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + 6*j**2 + 5*j + 6. Let l be m(-5). Let w = l + -6. Suppose w = -2*x + 3 + 5. Calculate the remainder when x is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(2*(-4)\/(-8)). Let m be j\/18 + 4\/18. Suppose 0 + 3*k**5 - 6*k**3 + 3*k + m*k**5 - 4 + 3*k**4 + 7 - 6*k**2 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 + 0*l**3 - l**2 + 44*l - 46*l to the form r*l**2 + y*l + w*l**3 + h and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 14*o**2 + 43*o + 6. Let i be j(10). What is the greatest common divisor of 342 and i?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006633 to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12 and -2.4?\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 1. Let t(v) be the first derivative of 21*v + 0*v**2 - 146 - 14\/3*v**3. What is t(s) - 21*u(s)?\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3328406 rounded to 2 decimal places?\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 >= -2166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 494880 divided by 164960.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6455*v**3 + v**2 - 586 + 2*v + 588 - 2*v.\nAnswer: 6455*v**3 + v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, h: 7, c: 1, j: 2, v: 1}. What is prob of sequence jzh?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (11 - 13) + (-3 - -2)*0. Let s(f) be the first derivative of f**3\/3 - 2*f + 1. Let n be s(x). Are 1 and n non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffa when three letters picked without replacement from {f: 2, a: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006416 to 4 decimal places.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 6000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/2 of a decade?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 5*d**2 - 4*d - 1. Let k be u(-1). Suppose 0 = 8*w + 16 - k. Put -6, w, -5\/6 in ascending order.\nAnswer: -6, w, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/18)\/((-15)\/(-27)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27780357581 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 + -23. What are the prime factors of p?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfnnnnnssn. Give prob of picking 2 s.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -4*h**2. Let b(s) = -2*s. Let q(p) = p. Let t(u) = 4*b(u) - q(u). Calculate t(k(n)).\nAnswer: 36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8529353 to the nearest integer?\nAnswer: 2921","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -11446, -9495, -6244, -1693, 4158, 11309, 19760?\n\"Answer: 650*t**2 + t - 12097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*s + 156 = -46*s for s.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2448) + -1*sqrt(2448) + 5*(sqrt(2448) - sqrt(2448)*-2) + -2 + -4 + (sqrt(2448) - -2*sqrt(2448)*-6) + -5)**2.\nAnswer: -1440*sqrt(17) + 39393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*i + 4*i - i)*(2 + 0 - 4)*((-13*i - 68 + 68)*(3 - 4*i + 4*i - i) + 2*i**2 - 4*i**2 + 3*i**2 + (-2 - 3 + 3)*(-2*i**2 + i**2 + 2*i**2)).\nAnswer: -288*i**3 + 936*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 + 13*l - 16. Let f be d(8). Which is the biggest value? (a) -0.4 (b) 6 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-21))\/(b\/(b*(b*b**9)\/b*b)))\/(b\/b**(-27)*b*b)**(2\/89) assuming b is positive.\nAnswer: b**(-950\/89)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - -19 - (13 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6178, -6091, -5944, -5737?\nAnswer: -5470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57\/7 - 6562\/805. Let q(c) = -c + 94 - 120 - 4*c. Let t be q(-5). Which is smaller: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 40. Let v(y) = -4612*y**3 + y. Let u be v(d). Suppose a - u = -3*s, 8*s - 3*a = 3*s + 7685. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 11:15 AM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 662 and 2473232.\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -7 - (-5 + 5 - (-2 + 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-3)*(-738)\/16. Suppose 4*h - 94 - 30 = 0. Let m = r + h. Is -2\/3 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 7*c**2 - 4*c + 2. Calculate v(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-31 + 41 - (5 - -1))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*sqrt(36)\/(2*sqrt(12)*1 + sqrt(12)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*k = z + 4, k - z = 0. Suppose 0 = -w + 4*c + 3 - 8, -13 = -w - 5*c. Sort -3, w, k, 14.\nAnswer: -3, k, w, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p - 1. Let z be i(-7). Suppose 7*h = -4 + 11. Let m(f) = 8*f**2 + 6*f - 7. Let a(r) = 0 - 4 + 5 - r + 0*r**2 - r**2. Calculate h*m(n) + z*a(n).\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -883 + 880 + 4*5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 25936787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-3))\/((-6)\/99). Let u = o + 34. Is 11 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 8) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 take away -29183.392305024?\nAnswer: 29183.442305024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 10*s**2 - 24*s + 16. Suppose 3*k + 530*y = 526*y + 41, k + 3*y - 22 = 0. Calculate w(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2\/861 (b) 0.4 (c) 4 (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 6113 = 2*k, 2*d + 2*d + 4*k - 4896 = 0. Suppose 5*g = -10, -2*g - d = 3*s - 7*g. Let w = -171 - s. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + 3*sqrt(320))**2 + sqrt(320) - (6*(sqrt(320) + 4*sqrt(320)))**2) + 3.\nAnswer: -285116 - 40*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 12. Let n be 4\/3*(-15)\/2. Let s be h(n). Suppose 6*y - 4*y = s. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 11, m: 2}. Give prob of picking 3 g and 1 m.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 55 = -3*l. Let w = -384\/7 - l. Suppose -4*z + 2*o + 10 = 0, 0*z - 4*o = -2*z + 14. What is the closest to z in w, -0.5, 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2 + 46358*m + 46360.\nAnswer: -2*(m - 23180)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wffb when four letters picked without replacement from bffbwbb?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95682301 to the nearest integer?\nAnswer: 9782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 52 + 43 + 22*s**4 - 4 - 32 wrt s?\nAnswer: 88*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 39 = -3*r, x - 43 = -3801*r + 3797*r for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tz when two letters picked without replacement from {t: 6, z: 1, b: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 13. Let t(h) = 6*h**2 + 4*h - 5. What is the units digit of t(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 3*i - 390 = 0. Let l = 132 + i. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lulhewueuuulueuehl. What is prob of picking 2 l, 1 e, and 1 w?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 18*y - 37*y + 12*y. Let l(z) = 2*z. Give p(l(c)).\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*r - 2*r + 74756. Calculate the least common multiple of r and 3.\nAnswer: 5097","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)*1 + (-1*sqrt(170) - sqrt(170))\/sqrt(10).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1025, -967, -869, -731, -553?\nAnswer: -335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-36)\/(-24))\/(6\/8). Let r be k*(14\/4 + -2). Differentiate -2*d**3 - 8 + 14 + 8*d**r wrt d.\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y - 5*y + 42. Suppose -93 + 48 = -y*x. Let s(d) = d - 15. Give s(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (140 - 140 + 117*r)*(-r**4 + 2*r**4 + 0*r**4).\nAnswer: 117*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1388, -2780, -4172, -5564?\n\"Answer: -1392*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence unnn when four letters picked without replacement from {u: 2, n: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 40*a**2 + 95*a + 3*a**3 + 3*a**3 - 25 - a**3 + 85.\nAnswer: 5*(a + 1)*(a + 3)*(a + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37272 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**3 - 417541919 + 417541919.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l + 6 = 12. Let r(s) = 14*s + 3. Let h be r(l). Solve 0 = 3*x + 4*m - 3*m - 17, -4*m - h = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o**5\/7 + 4*o**4\/7 + 40*o**3\/7 + 32*o**2\/7 = 0.\nAnswer: -2, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 493274 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -7*o. Let a(x) be the second derivative of x**5\/40 - 7*x**3\/3 + 19*x. Let m(t) be the second derivative of a(t). Give n(m(s)).\nAnswer: -21*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4202 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2463*f**5*k**2 + f**2*k**2 + 357*f**2 - k**2 wrt f?\nAnswer: 147780*f**2*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006045688 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 486 or -326?\nAnswer: -326","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*u**2 + 633470*u + 20064212045 = 0. Calculate u.\nAnswer: -63347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**4 + 36 - 38 - a**4 - 3*a**2 + 5*a**4 - 6*a**3 as i*a**2 + g + k*a**3 + c*a**4 + x*a and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*2\/28*(-7)\/6. What is the second biggest value in 2\/11, h, -0.7, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.5 + 29.9. Let y = 0.6 + j. Sort y, -1, -2 in increasing order.\nAnswer: -2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*d + 1\/4*d**2 - 1.\nAnswer: (d - 2)*(d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 2*w. Let u be k(-3). Let l = 124 + -148.4. Let s = l + 29.4. What is the closest to -1 in 4\/3, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:42 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 2*f - 2*f + (1 - 4 + 1)*(f + 0*f + 0*f) + f + 2 - 2 + (40 + 43 + 34)*(-2 + 3 + 0)*(f - 5*f + 3*f) to v + t*f and give t.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -67.2215 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45.2 + 41. Let a = -1006214496.20000077 - -1006214492. Let v = a - m. What is v rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 e, and 1 d when three letters picked without replacement from jjhdmle?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-11)\/66)\/(1\/2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 181960?\nAnswer: 2, 5, 4549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1985?\nAnswer: 5, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 2*s + 4*z + 218, -431 = 2*s + 3*z. Let d = s + 597. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4, 68, 224, 514, 980, 1664?\n\"Answer: 7*h**3 + 4*h**2 + 3*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -9*t**5 - 15*t**4\/4 + 85*t**3\/3 + 35*t**2\/2 - 20*t + 92. Find a, given that i(a) = 0.\nAnswer: -1, 1\/3, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22240.\nAnswer: 2, 5, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - n = -40, -4*d + 3*n - 35 = -3. Let u(k) = k**3 + 8*k**2 + k + 10. Let i be u(d). Solve b + 4*h + 18 = 0, i*b - 4 = -2*h - 16 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/5, 68, -1, -3\/4, -0.02, -8?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z. Let x be r(1). What is the second derivative of 20*y**3 - 2*y - 3*y - 16*y**x wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 176 = 193 - 570 + 176 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6117 (base 10) in base 3?\nAnswer: 22101120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -85382996 - -223.\nAnswer: -85382773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the second derivative of -l**3\/3 - l**2 - l. Let s(t) = -5*t - 6. Let o be (1 - (-12)\/4) + -12. Let j(d) = o*g(d) + 3*s(d). Give j(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 452982 = -46*z - 0*z. List the prime factors of z.\nAnswer: 2, 4441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x + 4 - 4)*(2*x**2 - 2*x**2 - x**2)*(-1397*x - 834*x - 89*x) as u*x**2 + m*x**4 + p*x**3 + g*x + j and give m.\nAnswer: 4640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from phpphph. What is prob of picking 4 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*20\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 800 and 119940500.\nAnswer: 959524000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, -5448, 2, -1, -510, 3?\nAnswer: -510","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qweqkir. What is prob of picking 1 w, 1 r, and 2 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 268117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 354 or 1412?\nAnswer: 354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 0.15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-3 - 7 - (1 - 13)) - 61?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15010*k**3 + 3*k**2 - 3097358*k wrt k?\nAnswer: -90060*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 178?\nAnswer: -11\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 17*j. Let r(f) = 198*f. Determine h(r(n)).\nAnswer: 3366*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49.7 + 50. Which is the nearest to 0.1? (a) -2 (b) 4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b + 2. Suppose 0 = -12*f - 27*f + 39. Let n(h) = 23*h - 1 + h + f - 21*h. Determine r(n(v)).\nAnswer: 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-299)\/52*(-15)\/3*(-20)\/(-100)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-18)\/v*v\/(v*v**8) assuming v is positive.\nAnswer: v**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f. Let u(x) = -4*x. Let c(r) = 5*a(r) + u(r). Let g be c(3). Put 2, g, -2\/5 in decreasing order.\nAnswer: g, 2, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 times -8?\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 + 1)*(-4 + 3 + 2)*(-9*m**2 + 14*m**3 - 13*m**2 + 23*m**2).\nAnswer: 28*m**3 + 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15791212 <= 15791172?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 284*f**2 - 1088 wrt f?\nAnswer: 568*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m**2 + 31*m + 14. Let w be a(8). Put 8, w, 1 in decreasing order.\nAnswer: 8, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 x, and 1 q when three letters picked without replacement from {j: 2, p: 6, x: 2, q: 1, i: 3, e: 4}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(2\/(-8)*-2). Suppose -2*o - 4*v = -54, -g*o - 153 = -9*o - 4*v. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 878232440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**2 - 180*g - 1872 = 0.\nAnswer: -78, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 63 = 1. Solve v*q = 6*q + 5*j - 33, 4*q + 3*j - 31 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -7 - 470b13?\nAnswer: -470b1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 + -0.12. Let v = h - 3.12. Let t = -18 - -17. What is the third biggest value in t, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 10*m**2 - 2*m + 1. Give r(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -3\/647710690?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v**3\/9 - 4*v**2\/9 - 8*v\/9 + 16\/9 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5459692 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20274.\nAnswer: 2, 3, 31, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j*v**4 - 127*j*v**3 + 2611*j*v**2 - 2*j*v - 45*v**4 + 8*v**3 - 10*v**2 - 2*v + 29 wrt v?\nAnswer: 168*j*v - 762*j - 1080*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -1\/4 (c) 1 (d) 2876023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**2 + 0*l**2 + l**2)*(-5 + 10 - 9 - l**2).\nAnswer: 2*l**4 + 8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*m + g + 22, 0 = 2*m + 4*g - 20. Is -1\/2 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13233 by 1.\nAnswer: 13233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3050450*d**3\/9 - 207480*d**2 + 31752*d = 0.\nAnswer: 0, 378\/1235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**3 + 8*l**2 - 16*l - 40. Give y(-9).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-1*(-2 + sqrt(325)*-2 + -2))**2.\nAnswer: 80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(65) - (sqrt(65)*-1 + sqrt(65))))\/(sqrt(720) + (sqrt(720)*2 - sqrt(720))).\nAnswer: sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000130929301 rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -46678793 + -5?\nAnswer: -46678798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1143*z**2 + 1095*z**2 - 3373*z**2 + 1134*z**2.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -991989 - -992106.0022. Let j = t - 117. Round j to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3 - 7 = 0. Suppose 0 = c - p - 13. Calculate the remainder when 28 is divided by c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*s**3 + 2*s**4 - 3*s**3 + 10*s - 10*s + 2*s**4 + (5 - 5 + 2*s**3)*(s + 3*s - 3*s) + 1 - 1 - s**4 - 81 + 24*s**4 + 81.\nAnswer: 29*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*f + 4. Let s(l) = 10*l**f - 3*l - 5*l**2 - 4*l**3 - 7*l**3 + 3. What is the lowest common multiple of s(-5) and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.7419563 to three decimal places.\nAnswer: 5.742","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 5*s**2 - 2*s + 2. Let g be n(4). Solve -2*l - 5*m + 1 + g = 0, 4*m - 4 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1181720?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((4\/9)\/(-2))\/((-90)\/135).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 20.1 - 3.1. Let n = x + -17. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0103975 or 0.71?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*j**4*r + 8*j**3*r**3 + 2*j**3 - j**2*r**3 - 22*j*r**3 wrt j.\nAnswer: -168*j*r + 48*r**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or 230?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f**5 + 492*f**4 + 5397*f**3 - 139632*f**2 - 622260*f + 756000 = 0. What is f?\nAnswer: -150, -24, -5, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1*m*(m*m**1)\/m)\/(m*(m*m**4)\/m*(m*m*m\/(m*m*m**(-8)*m)*m)\/m*m))**(-1\/53) assuming m is positive.\nAnswer: m**(11\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2446270*p**3 - 7922794*p wrt p.\nAnswer: -14677620*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*f**2 - 78*f**2 + 258*f**2 - 84*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuzmueeyd. Give prob of sequence eyz.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(14\/(-4) + 4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*d - 44, 2*d - 5*p = 15 + 17. Let z(r) = -r**2 + 15*r - 12. Let v be z(14). Find the third derivative of d*g**v + 2*g**2 + 2*g**2 + 4*g**4 wrt g.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/3 - 1071628*a**2\/3 - 8573152*a\/3 = 0. Calculate a.\nAnswer: -8, 0, 535822","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 816921 (base 10) to base 13\nAnswer: 227ab1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3163 * -1\nAnswer: 3163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.77 times 28.8?\nAnswer: -310.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 2 + -8 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = -47 - 49 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 z when two letters picked without replacement from sujjxzr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 5*r**2 - 5*r - 3. Let n be u(3). Solve n = -2*t - t + 12 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3347.3 + -3351. What is the third biggest value in 0.2, -1, 2, r, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.02 - -0.02. Let m = -0.2523 + 1.2523. Which is the second biggest value? (a) z (b) m (c) 3 (d) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 542506139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/((-9)\/(108\/(-66))))\/(((-260)\/(-50))\/13).\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101656 is divided by 84.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.960423 meters in nanometers?\nAnswer: 960423000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28585504 a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is 39775 plus 0.17?\nAnswer: 39775.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 342, 683, 1024?\nAnswer: 1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -111958 rounded to the nearest one hundred?\nAnswer: -112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*d = -208, 0 = -5*k - d + 5*d + 348. Let s = k - 66. Let v = -1 + 1.4. What is the nearest to 1 in 2\/3, s, v?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 24\/37?\nAnswer: 24\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*h + 625 = -0*h, 2 = h. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*d - 2*y, y - 5 + 0 = 0. Factor 14\/9*q**2 + 2*q**d + 4\/9*q + 0 + 10\/9*q**4 + 2\/9*q**5.\nAnswer: 2*q*(q + 1)**3*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502177.2l in millilitres?\nAnswer: 502177200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8660 is divided by 234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4075 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/7 (b) -91 (c) 5 (d) 0.1 (e) 25 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216808 and 2460.\nAnswer: 3252120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + a**3 - 11*a**2 + 7*a**3.\nAnswer: 8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51, 75, 123, 195?\n\"Answer: 12*v**2 - 12*v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65609 - 26547. What is the hundreds digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 1418977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(7)*2*3*4.\nAnswer: -5 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -90774*i**5\/13 - 58975794*i**4\/13 - 9570253890*i**3\/13 + 2884820258*i**2\/13 + 7800400*i + 65000 = 0.\nAnswer: -325, -2\/123, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3225*j**3 - 2*j**2 - 61834.\nAnswer: -9675*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96 = 120*w - 108*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14813, 29246, 43295, 56960?\n\"Answer: -192*p**2 + 15009*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*x = 4*x - 12*x - 170 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1028, 9, 2, 1, -0.2, -2\/7 in increasing order.\nAnswer: -2\/7, -0.2, 1, 2, 9, 1028","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 19 + 1 = 0. Let i be -102*2 - ((-96)\/(-9) + 7\/21). Put -5, s, i in decreasing order.\nAnswer: s, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - 1570096\/(-192836)) + 2\/8. Let m = b + 5\/6887. Calculate the common denominator of 21\/22 and m.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -24. Let y be (1 - d) + -1 - 0. What are the prime factors of 2\/4*(y + 63)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 4*n, v + 129 = 10*n + 8*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.0001693 nanometers?\nAnswer: 0.0000001693","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/(2*-3*sqrt(5)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1745, 3488, 5231?\nAnswer: 6974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2470*g = -2463*g + 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3*u - 4*x = -1686, -1650 = -5*u + 5*x. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/182)\/(-7)*-2?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 24358881 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-70))\/((-3)\/(-5))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -337598*j**4 - 461437*j**2?\nAnswer: -8102352*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 235455 + -5?\nAnswer: 235450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(3 + sqrt(931) + -2 + (sqrt(931) + sqrt(931) + 3 + 2)**2) + -2.\nAnswer: -22503 - 882*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(1\/5)\/n)**38*(n\/(n\/(n\/n**(-1\/4))*n))**(-3\/4) assuming n is positive.\nAnswer: n**(3633\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-51)\/340)\/((-9)\/(-186618)*1). Let k = z + 3100. Find the common denominator of k and 41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12046\/42063 + 4\/6009. What is the closest to 1 in z, 34, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 36844408 = -2*i + 36844484, 5*i = -4*r + 202 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 - 75\/20)\/((-2)\/8). Which is the nearest to -2\/9? (a) -1\/2 (b) f (c) 3 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/4)*y)\/y**(-3\/7))**45*(y*y**1)**(-40)\/((y*y**(-2))\/y**(-6)) assuming y is positive.\nAnswer: y**(995\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = -l, -2*b + 24 = -4*l - 0*l. Let h(u) = -b*u**2 - 3*u**2 + 5*u**2. Let p(i) = -i. What is p(h(d))?\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 93393 divided by -3762\nAnswer: -10377\/418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.5, 2\/3, 92, 0, -625?\nAnswer: 92","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/5 (b) -13\/4 (c) -57 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d + 0*d)*(4 - 4 + 3*d)*(0*d**2 + 3*d**2 - 4*d**2)*(-d + 10*d + 7*d).\nAnswer: -96*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.2 to the nearest integer.\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/15)*q)\/(q*q\/((q\/(q**5*q))\/q)*q))\/(q**4*q)**(-2) assuming q is positive.\nAnswer: q**(31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 852?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052554 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11562 + -11184. Calculate the remainder when 998 is divided by y.\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhzfkkffmzzi. Give prob of picking 1 z and 1 i.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert c581 (base 15) to base 2.\nAnswer: 1010001100010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/(-6)*33\/22. What is the units digit of 6\/(-3)*(-21 + c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkkb when four letters picked without replacement from {q: 2, b: 3, k: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1179 + -4767\/4. Let z be (12406\/(-8))\/(-5 - (-12 - -8)). Let i = 1539 - z. Find the common denominator of i and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61137522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -b300 (base 12) in base 5?\nAnswer: -1110230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -485357 times -3?\nAnswer: 1456071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 268 = 2*s, -3*w - w - 2*s + 524 = 0. Let g be (4\/10)\/((-1)\/(-30)). Calculate the highest common divisor of g and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 8*w**2 - 9*w + 4. Let s be o(-7). Suppose -4*n = -2*n - s. Suppose -2*v + 126 = -0*v. What is the highest common factor of n and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microgram in nanograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128 + -38. Let h = k + 253. Suppose 4*q + h = 1127. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - 33. Let f = 4205\/8 - 4199\/8. Put n, f, -1, -5 in increasing order.\nAnswer: n, -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/64 and -81\/32.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**2. Let x(b) = 3*b + b + 0*b - 11*b. What is x(y(i))?\nAnswer: 14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 2 = j. Which is the third smallest value? (a) j (b) -0.8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2860 and 6929120.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (4 + -2 - -2) - (12 + -41)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11*y**5 + 5*y**3 + 31*y. Let d(x) = -6*x**5 - 2*x**3 - 15*x. Let v(n) = -5*d(n) - 2*z(n). Find the second derivative of v(k) wrt k.\nAnswer: 160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 477 and 57?\nAnswer: 9063","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -240, -894, -1988, -3528, -5520, -7970?\nAnswer: -10884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/132*((-400)\/30)\/10?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 391158640 to the nearest one million.\nAnswer: 391000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 63\/(-42)*(-40)\/6. Let k be (-5)\/n*8 + 2. Let s(y) = y**2 - 3*y + 2. Let c be s(k). Solve r + p - c = -p, 0 = 5*r + 2*p - 28 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-18) + -2)\/((-96)\/(37023 + 129))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -122 - -125. Let q(g) be the second derivative of 0 - 5*g + 1\/12*g**4 + 1\/6*g**c + 0*g**2. Factor q(y).\nAnswer: y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 770 divided by -153525?\nAnswer: -154\/30705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -492*g - 487*g + 990*g - 198 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 11:02 PM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8256710449376.999996539 - 8256710441428. Let f = 7949 - n. What is f rounded to seven decimal places?\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1395 is divided by 92.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from oooeoeeeoo?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 644 = -40*q + 44*q. Let c = q - -9. Does 10 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.867 and 0.2?\nAnswer: 1.3734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3*x + 15 + 6, 3*r + 6 = -2*x. Let g = 7 - x. Solve -3*q + 5 = g*p - 12, 3*p = 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6a3a (base 11) to base 14\nAnswer: -351d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19108*l**2 + 2*l - 7044.\nAnswer: -38216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**5 + x**5 + 4*x**5)*(6141 + 3015 - 17390).\nAnswer: -24702*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 3*r + 116. Let s = r - 38. Let n = s + -20. Solve 2*h + n*h = u + 7, 0 = 4*h - 5*u - 5 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 + 46*n - 449. What is q(-30)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1088, -1117, -1146, -1175, -1204, -1233?\n\"Answer: -29*f - 1059","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3*(sqrt(110) + -2*sqrt(110)) - -3*sqrt(110)*-2)\/(6*-1*-3*sqrt(40)).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21*-3.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -533 or -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 158863 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.262830851 to 2 decimal places.\nAnswer: -4.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-74)\/(-148)*1*-2)\/(-1). Solve 0 = 3*b - 2*u - 3, -3*u = 2*b - 3 + j for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d**2 + 120*d + 16. Let o be q(-11). Let l = -201 + 205. What is the nearest to -6 in -2\/9, o, 0.2, l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 105 = 0, -2*k = -7167*s + 7076*s - 322 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7857, -31094, -69731, -123762, -193181?\n\"Answer: v**3 - 7706*v**2 - 126*v - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -180 + 9*b + 180 + 31*b in the form u*b + t and give u.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -3.1. Let t = 0.1 + h. Let d = 10.2 - 10. Is d <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3 = 4*v - 7, -3*b - v + 10 = 0. Calculate the least common multiple of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(3) - (sqrt(15) + sqrt(165)\/sqrt(11) + sqrt(15))\/sqrt(5)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, c: 2, g: 1, s: 7, i: 8}. Give prob of picking 1 c, 1 i, and 1 g.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 13. Suppose 0 = -t + 3*t. Let r be b(t). Let p = r + -10. What is the remainder when 8 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**3 + 15*c**2 + 15*c + 5. Let i be l(-14). Let q(n) = -2*n - 4. What is the tens digit of q(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 8*x + 59. Give z(9).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -4. Let h(n) = -n**2 + 7*n - 3. Let b be h(6). What is the nearest to -1 in -1\/9, m, b?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7684 - 7336. Calculate the remainder when j is divided by 31.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93841042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/(-25) + (-12)\/(-20). Which is smaller: f or 4\/27?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**3*o**3 + 3*c**3*o - 1623*c**3 - 3536*c**2*o**3 + c*o**3 - 2*c*o wrt c?\nAnswer: -18*o**3 + 18*o - 9738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 865 divide 82858958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -2*r**5\/3 - 226*r**4\/3 - 1814*r**3 - 12430*r**2\/3 + 42100*r\/3 - 8000 = 0.\nAnswer: -80, -30, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 1\/549 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 7495*y - 2*y**2 + 457*y - 2*y**2.\nAnswer: -2*y**2 - 7038*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 124*h*j**5 - 3*h*j**4 + 2*h - 2*j**2 - 4 wrt j.\nAnswer: 7440*h*j**2 - 72*h*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 464 and 2088?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 946?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 219 - 215. Calculate the smallest common multiple of a and 11.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 55. What is the lowest common multiple of 14 and o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113048\/801 + 1270\/9. Suppose 0 = -3*y + 29 - 32. Which is greater: w or y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (78\/819)\/(6\/(-14)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum -20762 and 12.\nAnswer: -20750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-24*s + 10*s - 3*s)*(-1 + 3 + 1) to p + w*s and give w.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18 and 10422?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 2*f - 10, b + 5*f = 3*b + 10. Let t(j) = 1. Let c(x) = 3*x + 5. Let n(r) = b*t(r) + c(r). Calculate n(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oz when two letters picked without replacement from wwdozwwwzyfwfzyyyodz?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 - 9)*(-58)\/2.\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8559 = f + 8*f. Let p = -10453\/11 - f. Let 8\/11*t**4 - 2\/11*t + p*t**2 - 12\/11*t**3 + 0 - 2\/11*t**5 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = 3*j, -898*j = -894*j - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1702 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -5 (c) 2\/3 (d) -2 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7143 = -3*b - 1648, 0 = 2*b - 2*f - 3674. Suppose 0 = -4*r + 5*y + b, 2*y + 1376 = 3*r - 2*y. What is the remainder when r is divided by 58?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -2, -1\/30, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2\/3, -0.3 in increasing order.\nAnswer: -2\/3, -0.3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*b - 463820 = -463232 for b.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 34\/306545 and -85\/6628?\nAnswer: 1226180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000346545 to six dps.\nAnswer: 0.000347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/16)\/((-10)\/(-60)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 - 2 - (-17)\/(-5). Let g = -2525.1 - -2524. What is the closest to g in f, -3, 3\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 173863*i + 125189*i - 46980*i.\nAnswer: 252072*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31917 is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-159)\/(-9) - (-6)\/(-9). Suppose 2*r - 3*s = h, 6*r = 4*r + 5*s + 15. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -4*m. Let d(z) = -9*z. Let w(c) = 7*a(c) - 3*d(c). Let i(u) = -52*u**2. Give i(w(r)).\nAnswer: -52*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, i: 3, r: 6, s: 2}. What is prob of sequence erre?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 123581832 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -192227*k**2. Let d(u) = 62*u**2. Determine j(d(c)).\nAnswer: -738920588*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 191*d**5\/9 + 380*d**4\/9 + 187*d**3\/9 - 2*d**2\/9 = 0.\nAnswer: -1, 0, 2\/191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -165586, -165588, -165590, -165592?\n\"Answer: -2*r - 165584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1002 + 4*b**3 + 315 + 0*b**3 - 610.\nAnswer: 4*b**3 - 1297","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15 + 237. Suppose 4 = x*l - 223*l. Do -12 and l have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4025.000008203 - 4025. Round x to 7 decimal places.\nAnswer: 0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 64 and 1568938272?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 10:21 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74, 625, 2124, 5045, 9862, 17049, 27080?\n\"Answer: 79*g**3 - 2*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*f**6 - 2*f**4 - 2227*f**3 - 4547*f**2 + f?\nAnswer: -360*f**3 - 48*f - 13362","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23947, -5, -45, -4 in decreasing order.\nAnswer: -4, -5, -45, -23947","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -o**6\/120 - 3*o**5\/40 - 11*o**4\/48 - o**3\/4 + 33*o. Solve w(c) = 0.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 406330698, 812661396, 1218992094, 1625322792?\nAnswer: 2031653490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1680365 or 1680366?\nAnswer: 1680366","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/(-15))\/(2\/(-144)). Let k = v + 68. Round k to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + sqrt(704) + (sqrt(704)*-3 + -3)**2 - ((sqrt(66)\/sqrt(3))\/sqrt(2) + sqrt(44) + 4).\nAnswer: 157*sqrt(11) + 6341","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9, 4, 15, 24, 31?\n\"Answer: -i**2 + 16*i - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -292 + -258. Let v be (-120)\/o - (-4)\/22. What is w in -v*w**2 + 12\/5*w - 18\/5 = 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 2264\nAnswer: 4528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000007178967 to seven dps.\nAnswer: 0.0000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 95*z**3 - 35*z**2 - 35. Let l(b) be the second derivative of 52*b + 0 + 1\/4*b**4 + 3\/2*b**2 + 0*b**3 - 2\/5*b**5. Give -35*l(j) - 3*u(j).\nAnswer: -5*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.013 + 122.987. Let i = -123.00000185 + o. What is i rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 6 + 18. Suppose t + 4*u = u - 12, 4*u = -20. Suppose 27 = 4*i - 5*c, t*i - q = c + 4. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4356*g**3 - 37126452*g**2 - 2250076*g - 34092.\nAnswer: -4*(g + 8523)*(33*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 199188 and 9738.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - 40*a + 37 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166208\/(-96)*(1 - 58\/4)?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2384852 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of 14*m**3\/3 + 11*m**2\/2 + 36*m + 12029. Let p(b) = 9*b**2 + 7*b + 24. What is 5*g(l) - 8*p(l)?\nAnswer: -2*l**2 - l - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2053929678 to the nearest integer?\nAnswer: 1271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**5 + 2442*q**4 + 1012822*q**3 + 150158862*q**2 + 3125434032*q + 10163391840 = 0 for q.\nAnswer: -399, -20, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15.93 - 1.23. Let d = -14 + r. Let h = d + -0.2. Which is the closest to 2? (a) -3 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77244923 to the power of 1\/2, to the nearest integer?\nAnswer: 8789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + k + 12, 150*a - 152*a = -2*k + 16 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2174*f**2*p**2*v**3 - 247*f**2*p**2 - 2*f**2*p*v + 8*f**2*v**3 - 32*f**2*v + 2*f*p**2*v**2 + f*p*v**2 wrt v.\nAnswer: -13044*f**2*p**2 + 48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2221 + -1022?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of g**6\/3 + 22*g**5\/5 + 94*g**4\/5 + 352*g**3\/15 + 64*g**2\/5 - 2*g + 118. Factor k(m).\nAnswer: 2*(m + 4)**2*(5*m + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25184 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 110 + -4 + (1 - -3). Let y = -60 + f. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.28, -1.6, -1, 3, 126 in descending order.\nAnswer: 126, 3, -0.28, -1, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1234, -1232, -1228, -1222, -1214, -1204?\nAnswer: -1192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69 - 24. Let v = 3 - -12. What is the greatest common factor of k and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*g - 2*g - 6*g)*(-21 + 15 - 40).\nAnswer: 46*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 3*b**7\/140 - b**5\/120 + b**4\/6 - 3*b**2. Let s(t) be the second derivative of i(t). Is s(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 442?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 h when four letters picked without replacement from {e: 2, h: 7, n: 3, b: 4, p: 3}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -9 - -4 - (1 - -3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**3 - w**2 - 1. Let v(l) = -285*l**4 - 2*l**3 - 4*l**2 + 57*l + 3. Let m(d) = 4*u(d) - v(d). What is the second derivative of m(r) wrt r?\nAnswer: 3420*r**2 - 12*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29997\/4 + 7500. Which is the closest to 2\/9? (a) 2\/31 (b) -7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/7 - 3909*r**3\/7 - 31464*r**2\/7.\nAnswer: 3*r**2*(r - 1311)*(r + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 22*n - 139. Let h be d(10). Suppose 4812 = -2*w + 4*u, 5*w + 0*w = -4*u - 12072. Let m be w\/135 + (-8)\/10. Which is greater: m or h?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 + 11 + 5)*(-6)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463174844864 less than -93?\nAnswer: 463174844771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2631923229?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 217 = 7. Let v = -94 - b. Suppose -w + 0*w + 4 = 0. Solve 4*g + 5*l = 3, 2*g + v = -0*g + w*l for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 222 - 176. Is b a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 243, 1470, 4617, 10584, 20271, 34578, 54405?\n\"Answer: 150*q**3 + 60*q**2 - 3*q + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -d**3\/2 + 17163*d**2\/2 - 137176*d = 0.\nAnswer: 0, 16, 17147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8\/((i\/i**(-2\/15))\/i))\/(i\/(i\/(i*i**(-2\/5)))*(i\/(i\/i**(-7)))\/i) assuming i is positive.\nAnswer: i**(229\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58 + 3\/(-12) + 90\/(-24). Let h be ((-792)\/220)\/((-2)\/40). What is the greatest common divisor of s and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2.81, 4 in increasing order.\nAnswer: -2.81, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 56477.75 micrograms in tonnes?\nAnswer: 0.00000005647775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (3 - 6 - 3) + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/14*6 - (-9)\/21. Solve 0*x - x + 7 = 4*q, -q + 3 = g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -57*p + 55*p - 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 4436618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*y**5 - 24*y**2 + 355*y.\nAnswer: -160*y**3 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 4*a - 5, 2*h + 3*a + 1 = -1. Let o = -0.08 + -0.02. What is the closest to o in h, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-2 + -2) - 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 5*n**4\/12 + 11*n**3\/6 - 1596*n**2 - 270*n. What is the first derivative of o(k) wrt k?\nAnswer: 10*k + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2, 1 in ascending order.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 4*b = 0, 6*b = f + 2*f + 4*b - 10*b - 36 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-32)*8*-4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 7 = -2*n - 15, -5*n = -3*y + 20. Let u = -38 - -14. Let l be (-810)\/u + (-1)\/n. What is the greatest common factor of 34 and l?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = 9*i - 47 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1212320 + -3?\nAnswer: -1212323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -2\/191?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(5) + 0)*2 - (0 + sqrt(125)))**2 + sqrt(30)\/(-1*sqrt(294) + sqrt(6)) - ((sqrt(90)\/sqrt(6)*1)\/(2*sqrt(27)))**2.\nAnswer: -sqrt(5)\/6 + 6475\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(3*(2310\/(-45))\/22)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110837265?\nAnswer: 3, 5, 7, 11, 13709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 97 = -u, -4*m + 5*u + 164 = u. Let o be 2\/5 + m\/10. Solve 0 + 7\/3*d**2 - d**o - 7\/3*d**4 + 1\/3*d**3 + 2\/3*d = 0.\nAnswer: -2, -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 638.0343 + -638. Round b to three decimal places.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/69 + 10\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 1. Let d(v) = 9*v**3 - 36*v**2 + 2*v + 4. Let l be d(4). Put 0, c, l, 2 in increasing order.\nAnswer: 0, 2, c, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1409.19 - -1410. What is the smallest value in 2\/5, -0.4, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-2)*(-940)\/(-15). Let j = s - 317. What is the third derivative of -153*d - 8*d**2 - 6*d**6 + j*d wrt d?\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5019912l in millilitres?\nAnswer: 501.9912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -415 + 223. Find the common denominator of 5*(-8)\/i*51 and 42\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 30598398.\nAnswer: 336582378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 - 11728890*x**2 - 46915524*x - 46915512.\nAnswer: -3*(x + 2)**2*(x + 3909626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011015040 rounded to the nearest 1000000?\nAnswer: 2011000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 2*k = 6*k - 2340, -2*q - 3*k + 2343 = 0. What is the highest common factor of 24 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 199, 297, 397, 499?\nAnswer: 603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/32899 + -98695\/65798. Let x = -2093\/9 + 233. Which is the second smallest value? (a) x (b) -3 (c) r (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1289\/5 + -256. Factor -6\/5 + f*r - 3\/5*r**2.\nAnswer: -3*(r - 2)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 929285.2 millilitres in litres?\nAnswer: 929.2852","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1) - (0 - 12). Suppose -t = 3*z + 10, 4*z + 4 = t - w. Let u be t\/(1 - -1) + -1. Solve 4*y = -4*n + y + 8, u = 3*n - y - 19 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 + -10. Let g(k) = -k**3 + 5*k**2 - 1. Let f be g(2). Calculate the remainder when (f*-2)\/(-1) - 2 is divided by x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 - 3. Suppose -g + 2 = -u. Suppose -r + 28 = u*r. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263020?\nAnswer: 2, 5, 11, 5741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 4*f - 29, 2*m = -0*m - 4*f - 14. Does 22\/7 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 31*c - 0*m - 380, 2*m - 48 + 92 = 4*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -96952*p**3 + 29*p - 1823?\nAnswer: -581712*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.6 and -504.\nAnswer: -3326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*a + 1556 - 261 = 707 for a.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15225885823 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n - 30 - 18*n + 25 + 8*n - n**3. Let u(i) = i**3 + 2*i + 4. Let h = -1 - 1. Let y = 523 + -526. What is h*d(a) + y*u(a)?\nAnswer: -a**3 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1372*s + 1378*s = 18, z + 2*s = 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.64 plus 33182467.658?\nAnswer: 33182471.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 82731 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12\/(-27) - ((-91)\/39)\/(-7). Put 4\/5, v, 0.3 in decreasing order.\nAnswer: 4\/5, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 y when two letters picked without replacement from {y: 9, g: 11}?\nAnswer: 99\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 5*u - 10 = 0, 3*u = -b - 4*b - 25 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x. Let d(j) = -4*j - 3. Let n(f) be the second derivative of 0 + 7\/6*f**3 + 5\/2*f**2 + 2*f. Let s(p) = -5*d(p) - 3*n(p). Calculate s(v(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 56, 12, -2, -1, 43 in decreasing order.\nAnswer: 56, 43, 12, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36466343 and 18532?\nAnswer: 4633","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -19*w - 13. Let s(i) = -3*i - 2. Let y(n) = 6*j(n) - 39*s(n). Let t(h) be the second derivative of -h**3\/6 - h. Determine t(y(g)).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 7*k**6\/6 - 24*k**5\/5 + k**3\/3 + 65*k**2\/2 - 7*k + 10380. What is the third derivative of v(z) wrt z?\nAnswer: 420*z**2 - 576*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r**3 + 11*r**2 - 20*r**2 + 4*r**2 + 5*r**2.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1609772?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 39427839 to the power of 1\/3, to the nearest integer?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from phpphppphppphp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - -5 - (-4 + -42) - -39.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4123 and 5915?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -6*6\/54*(-3)\/(-7). Let f = -22 - 0. Let q = -18 - f. Which is the second biggest value? (a) q (b) -3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 310 + -10?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*k - 63 = 0, 88*i - 26*i + 2*k = 59*i - 42 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 785.\nAnswer: 5, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*sqrt(5472) - sqrt(5472)))\/(sqrt(12)\/(sqrt(6) - (sqrt(54) + sqrt(6)))*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 PM and 10:41 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 less than 2.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 j when three letters picked without replacement from iimjjzzijiijmzijjii?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*l = -30 - 18. Let o(q) = q**2. Let m(d) = 5*d**2 - 8*d + 6. Let h(y) = -m(y) + 4*o(y). What is h(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**3 + q**2 - 4*q + 43. Let l be f(0). Calculate the highest common factor of l and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -574c221?\nAnswer: 574c220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101101001 - 10000000110110?\nAnswer: -10001110011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3019190 to the nearest integer?\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in 0.6, 3, 104?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 40, 38, -12, -110, -256?\n\"Answer: -24*g**2 + 70*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2251\/2 or 1126?\nAnswer: 2251\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.007382294 and 30880846.\nAnswer: 30880845.992617706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (128\/176)\/(1\/11)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -29*q**2 + 28*q + 0 - 1\/6*q**4 + 3*q**3. Find the first derivative of a(s) wrt s.\nAnswer: -4*s + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11922959?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -120*t + 3*t**4 - 73 - 33*t**3 - 49 + 70*t**2 - 304*t**2 + 506 = 0.\nAnswer: -4, -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -1.42, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 41*a + 246. Give o(-34).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4351799 = 12*r - 2374849. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 6. Let h(s) = -s**3 + 5*s**2 - 2*s + 1. Let b be h(5). Let c be d(b). Solve -r = m + 2, 3*r + c*m = 6*m for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3586, 3626, 3690, 3778, 3890, 4026, 4186?\nAnswer: 4370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 12:53 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 54\/57106211 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3961\/165 (b) -0.3 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -2, 0.2, 3, 2154, 1\/10, -3\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*k**3 - 6*k**3 + 3*k**3)*(0*k + 2*k + 2*k + (-k - 1 + 1)*(-3 + 2 + 2)).\nAnswer: 6*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/362368 and -48\/817.\nAnswer: 15581824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -12*h**3*i**2*z**3 + 5056*h**3*z**3 + 3*h**2*i*z**3 - 3*h**2*z**3 + 5180*i**2*z**3 wrt h?\nAnswer: -72*i**2*z**3 + 30336*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41803290, 41803285, 41803280, 41803275, 41803270, 41803265?\nAnswer: 41803260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 102010000012121 (base 3) to base 10\nAnswer: 5905051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 + -13. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/14*14\/(-2). Let g be (-4)\/(-6) - 1424\/(-24). Calculate the highest common factor of f and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7\/w)\/((w\/(w*w**4*w))\/w))\/((w\/w**(1\/3))\/w*w\/(w*w**3*w*w))*((w**(2\/3))**(2\/105))**(2\/67) assuming w is positive.\nAnswer: w**(365828\/21105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) -69 (c) -4 (d) -74 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 94551 times -370?\nAnswer: -34983870","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 8:09 PM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21423761.\nAnswer: 43, 498227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00216693 rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57\/(-19) + (-10)\/(-4).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and -1947330889.\nAnswer: -1947330878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 120661278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 73*q. Let t(c) be the first derivative of c**2 - 14. Give g(t(z)).\nAnswer: 146*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11*24\/132 - (-4 + 2). Put -64, -2, f in increasing order.\nAnswer: -64, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**(-15)*k**8\/k)\/(k*k\/(k\/(k\/((k*k\/(k*k**(4\/11)\/k))\/k)*k))*k)**5 assuming k is positive.\nAnswer: k**(-251\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 386471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 539.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 2689142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*w**2 + 6 - 4*w**2 - 4 as p*w + b*w**2 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3 = 5. Let f(b) = 21*b + 2. Calculate the remainder when f(y) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -13961 (c) 188 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -3, -10 in descending order.\nAnswer: 12, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 16\/(-4 + 6))*-2531. List the prime factors of a\/12 + 9\/(-27).\nAnswer: 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 - 3 = -w + 3*y, 0 = w - 5*y + 15 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + 78\/(-10))\/(2\/(-10)). Which is the biggest value? (a) 0.4 (b) q (c) 48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3657 and 345?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 + 0 + 7 + 1478. Let x = d + 254. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21129, 42233, 63337?\nAnswer: 84441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of -8*p**2 + 2*p**4 + 37 - 4\/5*p**5 - 16*p + 4*p**3. Suppose m(o) = 0. What is o?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -3.8. Let w = -1.6 - j. Let z = 8\/13 - 1\/65. Which is the closest to -1? (a) 0.1 (b) z (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102 and 2106408?\nAnswer: 35808936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24662 (base 15) in base 4?\nAnswer: -130113200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2a + -458996?\nAnswer: -4589c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**3 - 136802*m**2 + 4678423185*m + 18715881636 = 0.\nAnswer: -4, 68403","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 1554 = -0*f. Let h = f - -266. Calculate the greatest common factor of h and 301.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-96)\/144)\/(4\/(-6)). Calculate the remainder when -53 + 107 + (7 - w) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -7*a. Suppose 0 = -5*v + 3*n + 59, 3*v + n + a*n - 27 = 0. Differentiate -20*j**2 + j + v - 22 - j wrt j.\nAnswer: -40*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/13 and -72 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f - 3*f)*(2*f**2 + 2*f - 2*f) - 2*f**3 - 2*f**3 + f**3 + 7*f**3 - 4*f**2 + 4*f**2.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 7, m: 11, h: 2}. Give prob of picking 1 e and 1 m.\nAnswer: 77\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from {d: 11, l: 3}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of 0*z**3 + 7\/2*z**4 - 3\/20*z**5 - 1\/40*z**6 - 155*z**2 + 0 + 0*z. Let t(o) = 0. What is o?\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 20 + 0)*(-10 - 15 + 3)*(2*r + 0*r + 2*r).\nAnswer: -5104*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30205697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9913 and 368.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 329\/3 - 110. Which is the nearest to 0.1? (a) 3\/4 (b) 4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9979828 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198304334?\nAnswer: 2, 31, 1129, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8880.11 meters in centimeters?\nAnswer: 888011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -1856\/1401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**7\/35 - o**3\/3 + 7*o**2\/2 - 2. Let p(d) be the second derivative of q(d). What is the first derivative of p(h) wrt h?\nAnswer: 24*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 483 = 115*y - 374 - 408 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*d = -150, 0 = -5*m - d + 218 - 52. Suppose v = -v + m. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 115920.\nAnswer: 115920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2985\/398*3*(-44)\/(-90).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19\/21 + -4\/7. Which is smaller: k or 115?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 13*t**2 - 9*t - 10. Let g be z(11). Let i = -30 - -49. What is the greatest common factor of i and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2071 or -2064?\nAnswer: -2064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/7 - 428488*d**2 - 1124559043210*d\/7 + 2249130084100\/7.\nAnswer: -2*(d - 2)*(d + 749855)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(5) + 2) - (-5*sqrt(125) - sqrt(5)) - 3*3*sqrt(5)*-4*6.\nAnswer: -10 + 237*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/(i**(-35)\/i*i))\/i*i**(5\/4))\/((i**(-8)\/i)\/((i*i**(-2\/109))\/i)) assuming i is positive.\nAnswer: i**(20593\/436)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13249, -26552, -39855, -53158, -66461?\n\"Answer: -13303*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 9:42 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b**2 + 3*b - 3*b + (0*b + b + b)*(-3*b + 8*b - b) to w*b**2 + j + y*b and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*d*p**2 - 4176*d + 39*p**2 + 2*p wrt p?\nAnswer: -80*d*p + 78*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -522\/1375 - -2\/125. Let q = 32\/33 - l. Let t = -86\/255 - -8\/17. Put -0.5, q, t in decreasing order.\nAnswer: q, t, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2*o**2)*(26*o + 204*o + 136*o - 108*o).\nAnswer: -516*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 85*459\/(-3240).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6074*k + 78971. Give s(-13).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 18*l + 95 - 4*l + 3*l + 55*l. What are the prime factors of b(6)?\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/89 + 451\/267. What is the closest to -0.2 in -2, d, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((16\/(-2))\/(-32))\/(22\/220)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 0 - 37612*g + 37611*g - 1. Let k(d) = -3*d**2 - 7*d - 7. Calculate -5*j(f) + k(f).\nAnswer: -3*f**2 - 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1699439 to the nearest 1000.\nAnswer: 1699000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 538 - 546. Sort a, -1.6, 0.5 in increasing order.\nAnswer: a, -1.6, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + -5 + (-12)\/(-3). Suppose 2*g - q = -2 - a, 15 = 3*q. Solve -4*w - 1 = -3*u - g, -3*u + 19 = 5*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 222 - -301435?\nAnswer: 301660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) + 6\/(-18). Let d(z) = z**2 + 11*z + 27. Let l be d(-5). Let y = -0.01 + 0.31. Which is the closest to 2? (a) g (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21456.863 rounded to the nearest ten?\nAnswer: -21460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 781 - 780. Let g = -1 - -1. Let d = g - -0.1. What is the biggest value in z, 2\/19, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -34. Find the first derivative of -8 - x**4 - l + 2*x**4 wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 269136, 269138, 269140?\n\"Answer: 2*p + 269134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195361\/26 - -7515. Calculate the common denominator of -67\/4 and p.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1201*h - 282*h - 301*h - 283*h - 291*h - 1.\nAnswer: 44*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n = -10 + 18 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -13*b + 9. Let l(q) = q - 29 + 31 - 4*q. Let i(o) = 9*l(o) - 2*r(o). Let x(c) be the third derivative of -c**5\/20 + 9*c**2. Calculate x(i(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -243 + -34431034?\nAnswer: -34431321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3559 - -2451. Find the common denominator of (-3)\/4 - m\/48 and 3 - ((-466)\/(-88) + 4\/16).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 345 and 3622155?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 112\/24 - 4\/6. Suppose v*w - 18 = 10. Is w a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9 = 45. Let r(f) = -f**3 + 2*f - 2. Let q be -2*(-4 - -2)*-1. Let i(h) = -9*h + 9 + 4*h**3 + 8*h**2 - 8*h**2. Give q*i(y) + z*r(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - i - 19 = 0, 5*i = 2*a - 1 - 2. Suppose 0*z - a*f - 24 = 4*z, -z - 11 = -4*f. Let o = z + 11. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32651 - 32363. Suppose 5*a + 5*g = 125, 2*a - 141 = -3*a - g. What is the remainder when s is divided by a?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 0. Let m = 4 + -3.86. Let z = m + -5.14. Which is the nearest to 1? (a) p (b) -0.5 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r. Let p(g) be the second derivative of 0 + 0*g**2 - 7\/12*g**4 + 0*g**3 - 15*g. Determine x(p(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**2 - 15*w + 42. Let y be k(4). Suppose -5*n + y = 5*a, 4*n + 4*a = n + 20. Solve -5 = n*d - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z + 7*z - z)*(3 + 2 - 6) - 92*z + 10*z + 10*z - z + 2 - 2 in the form n*z + j and give n.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 30*b**2 + 3*b + 8. Let y be z(-11). Let o = y + -2076. Let r = o + -898. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 4 = -0. Let h(g) = -g - 4. Let j be h(0). Let t be j\/(d*(-3)\/(-112500)). What is t rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -46, -51, -54, -55, -54, -51?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82a0a + -1a65?\nAnswer: 80a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2 - 82*d + 1681 = 0?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1*1)\/(68\/(-102)). What is the third smallest value in -0.2, -0.05, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 9:25 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 0 + 8\/11*l**2 - 2\/11*l**3 - 8\/11*l = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 960448?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*(j\/(j*j\/j**(3\/11)))\/j*j*j*j))**(-15)*((j*j**(2\/9))\/j)**10 assuming j is positive.\nAnswer: j**(2110\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -157 or -41745\/266?\nAnswer: -41745\/266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 1. Let p = 9 - 11. Let f be m(p). Solve 5*q = 3*s + 7 + 3, -f*q + 5 = -2*s for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0309 - 0.9691. What is the nearest to d in 21, -3, 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47204, 47406, 47606, 47804, 48000?\nAnswer: 48194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-23)*1\/8*-4?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -3 (c) 8 (d) -1\/4 (e) -39.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*sqrt(17)*3 - (-3*sqrt(17)*-3 + -2))*-5.\nAnswer: -15 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 3 = 5*l. Let d = l + 3. Suppose d*z - 335 = 183. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -137703 >= -3\/83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of r**5\/45 - r**4\/6 - 140*r**3\/9 - 74*r**2. Suppose j(t) = 0. What is t?\nAnswer: -7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 12:56 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that j**4\/2 - 722*j**3 + 390963*j**2 - 94091762*j + 16983563041\/2 = 0.\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 3*z + 7 = z, 5*y = 2*z + 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/5 + 2264*s\/5 - 1281424\/5.\nAnswer: -(s - 1132)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 6:53 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2. Let c(b) = -1578*b. Calculate m(c(o)).\nAnswer: -4980168*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 64946737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 6*w**2 + 3*w - 19. Let o(i) = -i**2 - 14*i - 7. Let b = -32 + 18. Let k be o(b). Calculate the remainder when 35 is divided by p(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -92.1, 5, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29416, 29536, 29734, 30010, 30364?\nAnswer: 30796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02 - 0.020045. Round h to 5 dps.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + -5*(sqrt(288) + 0) + 6*(sqrt(288) + -1) - (-1 + sqrt(288)*-1 + (sqrt(288) - -2*(0 + sqrt(288)))))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x - 2. Let l be y(0). Let v = -2 - l. Suppose v*b + 2*b = 124. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 6, 5, 9, 1.\nAnswer: 1, 5, 6, 9, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 43 = -22*y, 3306*n = 3308*n + 5*y + 12 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 + 49. Let j(m) be the third derivative of m**5\/60 - m**4\/24 - 13*m**3\/6 - m**2. List the prime factors of j(s).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 1170.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*12\/(-3))\/(4*(-4)\/(-64))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 3054*n + 7716. Determine x(-3).\nAnswer: -1446","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 16*z**2 - z - 6. What is y(-16)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1010011101001 (base 2) to base 8\nAnswer: 12351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-16209045.\nAnswer: 4862713.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11256*g + 11190*g - 22755*g.\nAnswer: -309*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 932*q + 3*q**2 - 6544*q.\nAnswer: 2*q**2 - 7476*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 g when three letters picked without replacement from ggz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 243459?\nAnswer: 3, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 28 = 2*n - 4*n, 0 = -d - 5*n + 7. Let k = d + 302. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (5 - 8) - 4) + -2?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 229534 (base 12) in base 5?\nAnswer: 120233243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17063 is divided by 3685?\nAnswer: 2323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -726.41532 rounded to the nearest ten?\nAnswer: -730","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.146 times 0.08?\nAnswer: 0.01168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98611.\nAnswer: 31, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 3 (c) -2 (d) -2\/13 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 62. What is the greatest common factor of y and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y + 5*d - 33 = 0, -5*d = 3*y - 79. Solve -5*s + 2*b = -31, 1 - y = -5*s - b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -185*s - 7. Let n(c) = 3*c - 28. Let r be n(9). Is k(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 34320 - -380?\nAnswer: 346a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 4. Suppose c*b - 25 = -2*b, -2*b + 5 = -x. Let u be (0*1\/(-6))\/(-4). Put -12, u, x in ascending order.\nAnswer: -12, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 + 35. Let r = -161 - -161. Which is the smallest value? (a) w (b) r (c) 0.2 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/4 - (-7)\/4. Suppose 3*d - 3 = 3. Find the third derivative of r**4 - r**4 + 0*r**2 - r**a + d*r**4 wrt r.\nAnswer: 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 73*m**2 + 184*m + 358. Give f(-7).\nAnswer: 2647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1, 0.4, -2\/19, -426.9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -833 + c + 1670 - 837.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 160 - 138. What is the remainder when 100 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 16. Let s be (n\/3)\/((-2)\/(-35)). What is the units digit of s\/(-2)*(-32)\/40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/2)\/(2\/(-4))*-1. Let j(y) = -y**3 - y**3 + 4*y**3 + y. Determine j(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001111111100 - -1?\nAnswer: 10001111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/17 < 1217750?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.032 and 10.4.\nAnswer: 10.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7092589 to the nearest integer?\nAnswer: 2663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:35 AM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 760 - -119. List the prime factors of g.\nAnswer: 3, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1245 (base 7) in base 11?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009614187204 to five decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -699 - -136. Let d = -317 - q. What are the prime factors of d?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**4 - 45845*r**3 + 6*r**2 + 30575*r wrt r?\nAnswer: 48*r - 275070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16352007 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r - 7. What is s(31)?\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7360 by -4.\nAnswer: -1840","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f**2 + 19106190*f - 18252324815805 = 0 for f.\nAnswer: 1910619","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -2 + (0 - 2 - -5 - 15)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -94205 at most as big as -94206?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -x + 12. Let l be x\/(-6) + 20\/12. Suppose -2*o = o - 5*a - 34, -4*o - 2*a = -l. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - 2*l + 2*l)*(-31816 + 58*l + 31816)*(6*l + 8*l - 6*l).\nAnswer: -928*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 433367 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 908, -1\/4, 21\/5 in descending order.\nAnswer: 908, 21\/5, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2515998 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14329 + -14326. Let o = 2 + 1. Suppose -o*t = 5 - 2. Which is the smallest value? (a) -3\/5 (b) g (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 14 + 41 = 0. Suppose -385 = -5*q - 2*v, 2*q - 261 = -5*v - 107. What is the greatest common factor of q and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 620.5830001 + -620.58. Let g = o + -0.003. What is g rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59978 is divided by 722?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -2) + 4 + 99 + -83.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -12*m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + 30*j - 9. Let b be (-448)\/32 - (3 + -1). Let n be a(b). Suppose -4*t - r + 91 = 0, -n = -3*t + r + 54. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -874412*p**4 + 242948*p**2 - 3*p wrt p.\nAnswer: -20985888*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -8*c**4 - 38*c**3 - 46*c**2 - 10*c + 6 = 0.\nAnswer: -3, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 61*m**4 + 2391 - 142*m**4 - m**2 - 613 with respect to m.\nAnswer: -324*m**3 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -5\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3323 - -2962. Sort 3, 0, f.\nAnswer: f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 72 = -3*v. Let x = -139 - -256. What is the remainder when x is divided by v?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 s when three letters picked without replacement from srrlsl.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -267.79 and 0.6?\nAnswer: -160.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 31*z**2 - 34*z - 57. Calculate v(-32).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 146488505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 40 = -3*s. Let t = -112 + 171. Let u = 147 - t. Calculate the greatest common factor of u and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 6:21 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -2, -3, -21, -1 in descending order.\nAnswer: 34, -1, -2, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - 4*a**2 - 4*a - 5. Let i be u(5). Let o(z) = -z**2 + 12. Let m be o(i). Suppose -15 = m*r - 1371. Is 8 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 11:04 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a + 1. Let q be w(-1). Suppose 4*z + d + q = 0, -z - 12 = -3*z + 3*d. Suppose -5*n = -z*n. Solve p - 5 = n, 3*r - 3*p = 5*r - 13 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 467 a factor of 22801612?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1948 and 20.\nAnswer: 9740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*g + 15 = -17 - 28. What is the closest to g in 0.5, 2, 0.02, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -4 - -3)*-263. Let o = 328 + k. Calculate the remainder when o is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 24 - 3 = 0. Let r be (2\/q)\/((-4)\/3). Let k = 20.8 - 21. Which is bigger: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 8*z - 9. Let t(o) = o**2 - 9*o - 16. Let s be t(11). Let u be y(s). Solve -2*i = -u*i + 4 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -5. Let m = -3 - k. Let f = 3 - 2.5. What is the biggest value in m, f, -3\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 1\/4 (c) -811\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (1\/(-5) + 1612\/(-390)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59725512 by 1701.\nAnswer: -35112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p**3\/p)\/p*p)\/p*p)\/(p**(4\/3)*p*p))\/(p**(-1\/4))**36)\/(p**(-2)\/(p**5\/p))**(-1\/49) assuming p is positive.\nAnswer: p**(1256\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 470241793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 11*m**2 - 12*m - 2. Let s be g(-12). Put 2, s, -2\/13 in decreasing order.\nAnswer: 2, -2\/13, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24760 is divided by 209.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*128\/(-384)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/(-1))\/((-2)\/(-6)). Let h = 891\/4 + -223. Suppose 2*q + 2*y = 8, 45*y - 20 = 41*y. Which is the closest to 0.11? (a) v (b) h (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/(-8))*20\/12400*31.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09786279 less than -134?\nAnswer: -134.09786279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, 2, 0, -14, -46, -102, -188?\n\"Answer: -j**3 + 3*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((1 + sqrt(2))*3 + (sqrt(2) - (1*sqrt(2) + sqrt(2))*5))**2.\nAnswer: -108*sqrt(2) + 243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 12.5. Let t = 5 - w. What is t rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**3 - 36*v**2 + 67*v + 776. Give z(-12).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = -21. Let r(x) = 3*x**3 - 2*x. Let v(d) be the first derivative of 4*d**4 - 11\/2*d**2 + 2 + d + 0*d**3. Determine j*r(s) + 2*v(s).\nAnswer: -s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*b**3 - 113*b**3 - 115*b**3 + 228*b**3 - 118*b**3.\nAnswer: -27*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 42\/4*164\/(-246)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express o**2 - 9*o + 22*o + 0*o as w*o + p*o**2 + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/75401 or -14\/55?\nAnswer: 1\/75401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -3a080811?\nAnswer: 3a080810","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -62, 2\/5, 27 in decreasing order.\nAnswer: 27, 2\/5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 3*a = -27. Suppose -20 = y - a*y. Let g = y + 0. What is the remainder when 38 is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 492056836 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2. Let f(h) = -14*h**2 + 10. Let z(l) = -l**2 + 1. Let b(v) = -3*f(v) + 30*z(v). What is b(m(s))?\nAnswer: 48*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.5 + -23.16. Let l = 2.660188 + c. What is l rounded to 5 decimal places?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -1. What are the prime factors of (-344)\/(-16) + (-2)\/d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.112 - -1.412. Which is the nearest to o? (a) -3 (b) -0.1 (c) 0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 571574270357 minus 4?\nAnswer: 571574270353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 6 = 3*s. Suppose -2*p = -5*p + s. Solve p*n = -5 - 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-126315)\/2406*8\/10\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 14*a - 59. Does 6 divide t(26)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 114 + -70. What is the remainder when j is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/3327 and (2 - 1)*1635\/270?\nAnswer: 19962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 19 (c) 11 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 791 is divided by 80?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -14 + 9 + 6*a - 3*a. Is k(16) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1605 and 8520?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*r - 24*r**2 - 10*r + 21*r**2)*(r + r + r) in the form p + m*r**3 + n*r + k*r**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6711*y - 8009*y = -1628*y - 1334*y - 1046462 for y.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -116 + 214. What are the prime factors of r?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 470778 and 4026.\nAnswer: 28717458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/27)\/(g*g**(-9\/2)))**(-10)*(g**(2\/3)*g**10)**(-50) assuming g is positive.\nAnswer: g**(-15325\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b7 - 5?\nAnswer: 4b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 16, 5, 0, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 8*o**2 + 8*o - 36. Let m(x) = 23*x**2 + 22*x - 107. Let n(s) = -7*d(s) + 2*m(s). What is the derivative of n(l) wrt l?\nAnswer: -20*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 29317*n**3 - 29323*n**3 - 4*n.\nAnswer: -6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -331*g**4 + 145*g**4 - 2453*g**2 - 1524*g**4 + 779*g**3 - 779*g**3 wrt g?\nAnswer: -41040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-828)\/(-15) + 6\/(-30) 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: 2, x: 2, c: 2, i: 1, k: 3, g: 2}. What is prob of sequence cgoo?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24071 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6.68 - 2.5.\nAnswer: -9.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**12\/w)\/(((w*w**(-2\/33))\/w)\/w) assuming w is positive.\nAnswer: w**(398\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**2)\/w)*w\/(w*(w**(-4)\/w)\/w)*w**(1\/12)*w\/w**(-2))**48 assuming w is positive.\nAnswer: w**388","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -0*o - x - 166, -x = 1. Let y = o + -821\/5. Let -4\/5*k**4 + 0*k - 4\/5*k**3 + 4\/5*k**5 + 0 + y*k**2 = 0. What is k?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1735, 5522, 11785, 20518, 31715, 45370, 61477, 80030?\n\"Answer: -n**3 + 1244*n**2 + 62*n + 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 183341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 69. Let v(n) be the first derivative of 1\/2*n**4 + p + 0*n**2 + n + 0*n**3. What is the first derivative of v(i) wrt i?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 5*h**2 - 1023*h + 2. Let o(c) = 2*c**2 - 507*c + 1. What is -7*o(x) + 3*v(x)?\nAnswer: x**2 + 480*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9802\/11 + 893. Let p = 251\/143 - h. Which is the biggest value? (a) p (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*192\/256*(-2)\/78?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of -1\/24*v**4 + 0*v + 0 - 31\/3*v**3 + 0*v**5 - 112*v**2 - 4\/15*v**6. Find the second derivative of k(g) wrt g.\nAnswer: -192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ymwizzrmiiwywmzwwy. Give prob of picking 2 i and 1 r.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0333 * 1.75.\nAnswer: 0.058275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/((-20)\/8) - -2. Let n(z) be the second derivative of l - 1\/3*z**3 + 0*z**2 + z. Let p(y) = -y**2. Calculate n(p(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 548502 divided by 6.\nAnswer: 91417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1051760 to the nearest integer?\nAnswer: 1026","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 + -0.29. What is the nearest to s in -3, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -325 + -492. Let g = -538 - v. What is the greatest common factor of g and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19799 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 83264517 to the nearest integer?\nAnswer: 9125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (368577\/(-198))\/73*(-24)\/68.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 411353351?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rerveeetveeeeeve. Give prob of picking 1 t and 2 e.\nAnswer: 9\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-9) + 0 + (-1344)\/216. Let u be (-54)\/(-10) - ((-28)\/5 - k). Solve u*y + 5 = -0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 22*s - 115. Let x be v(-10). Suppose -x*b - 27 = -4*u + 3*u, -2*u - 5*b = 6. Solve -u + 4 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 8*h + 9. Let i be a(7). Let g(f) = -f + 8. Let d be g(8). Let i - 4 + 2*u**4 + 4*u**3 - 4*u + d = 0. What is u?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9779, 9781, 9783, 9785?\nAnswer: 9787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1644 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 3*d - 105.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 17367775 to the power of 1\/5, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 255905?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254036?\nAnswer: 2, 41, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 8:42 AM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2904 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.54 - 0.46. Let y be ((-7)\/42 - (-166)\/(-36)) + 5. Let u = -26 + 23. Which is the nearest to -1? (a) y (b) u (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*r + 20*r = -36 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 10:01 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1288 - -1250) + (12 - (2 + -1)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 7, i: 9}. What is prob of picking 1 i and 3 j?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*k + 1419 = k, 0 = -5*c - 5*k - 7045. Let a = -781 - c. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of 1\/12*j**4 + 1\/2*j**2 + 0 - 2*j + 0*j**3. Differentiate k(z) with respect to z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(3*sqrt(34)\/(-2*sqrt(72)) + -2)*-4.\nAnswer: -16 - 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18*(-94)\/2016*-1 and (2\/3)\/(176\/201).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) 7 (c) -0.1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 6 = -0. Suppose a*v - 43 = 5*j, 0 = -4*v - j - 10 + 98. Let y = 21 + 0. Calculate the highest common divisor of y and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85317 + 4918 - 69745 - 2*v - 17641.\nAnswer: -2*v - 167785","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 418000\/(-228)*(-6)\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 4*k**2 - 4*k + 5. Let w be d(-7). Let u = -179 + w. Suppose -32 = -4*h + 4*v, -4*h = 4*v - 0*v + 8. Solve 2 = h*x - u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 28*y**3 + 3*y**2 + 1. Let b(c) = -29*c**3 - 3*c**2 - 1. Let p = 22 - 20. Let w(r) = p*b(r) + 3*v(r). Find the third derivative of w(x) wrt x.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y + 268. Let n(l) = -13*l - 15. Let u(f) = -5*f - 6. Let k(q) = -4*n(q) + 10*u(q). What is k(z(r))?\nAnswer: -4*r + 536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 + -1 + 14 + -11.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m - 13*m + 2*o = -22, 22 = 2*m - 4*o. Suppose -y = 4*j - 25, 2*j + 3*j = 3*y - 109. Let i = y - m. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 22 = 7*r - 4*r, 2*r + 16 = 4*z. Solve 4*m + 1 + 3 = 5*p, -2*m = -z*p for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1108 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -62, -4, -0.5, 6, -1\/6, -3\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/542460 and 103\/152?\nAnswer: 20613480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*v + 53*v - 6*v)*(-v + 0*v - v) to the form l*v**2 + g + z*v and give l.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from {x: 2, p: 2, m: 5, b: 2, s: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 77\/2 of a meter?\nAnswer: 38500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -122*t**2 + 6*t. Let p be n(4). Let a = p + 1103. Let m = a + 1276. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssb when four letters picked without replacement from sseszbzzbz.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 132219 or 132542?\nAnswer: 132542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.4 (b) 3 (c) 8 (d) -6 (e) -1941 (f) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 7*n**2 + 5*n - 33. Determine k(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 884744689 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 9 - 14) + 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10906\/779*1*8\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (33 - (-6 + (-5 - -27) + -10))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 19*l = -3600. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**3*z**3 + 10093553*k**3 - 750*k**2*z**3 - k*z**2 - 301*z**3 wrt z.\nAnswer: -12*k**3 - 4500*k**2 - 1806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -218909 - -0.07?\nAnswer: -218908.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 781954 and 21206?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 118 = -5*x - 1745, 0 = q + 2*x - 469. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*0.251925\nAnswer: 0.0251925","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1144, 2, -1, -3\/5, 1, -1197, 2\/7?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -5, 2, -1043521 in descending order.\nAnswer: 8, 2, 0, -5, -1043521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/2 - 28*q**4 + 251*q**3\/2 + 16703*q**2 + 143200*q - 160000 = 0.\nAnswer: -50, -16, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 924, 12, -1\/5?\nAnswer: 924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -5. Let u(y) = 5*y + 69. Let c be u(-14). Let p be 9\/(i\/(3\/c)). What is the highest common divisor of 3 and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*78\/104*(-4)\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-100)\/(-45))\/((-120)\/540).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (8 - -2) + -5 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:07 AM and 4:44 AM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 2. Let q be y(-2). Let a be (4*(-1)\/(3 + -5))\/q. Let i = 8 - 11. Sort i, 4, a in descending order.\nAnswer: 4, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 97071*k - 5630122. Determine u(58).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2427a551 + 1?\nAnswer: 2427a552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, -25, -322, -905, -1870, -3313, -5330?\nAnswer: -8017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 36 = 5*s. Let r be -6 - (-8 + (454 - s)). Round r to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04 times 384337\nAnswer: -15373.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/7 (b) 27 (c) 1\/3 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -7. Suppose c - 7 = -p. Is p a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 2. Let q = 0 + k. Let t be 117 - (1 - q - 3). What is the highest common factor of 17 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3089525816?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*c - 398, 5*k - 1037 = -5*c + k. Let h = 123290 + -123238. What is the remainder when c is divided by h?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1080755 to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 210455 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2 - 6*z**2 + 7*z**2 - 2. Let w(d) = 6*d**3 + 5*d**2 - 15*d - 19. Let c be w(-1). Calculate o(c).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 10.71.\nAnswer: -4.284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d851 - 1?\nAnswer: -d852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 444864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -56.9 and -5?\nAnswer: 51.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 111 + 91 = 0, 0 = 2*l - u + 170405. What is l rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.3 > -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 14, -2, 8, 5.\nAnswer: -6, -2, 5, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r. Let g(l) be the second derivative of 7\/2*l**2 + 0*l**3 - 11\/24*l**4 + 0 + 5*l. Let a(q) be the first derivative of g(q). Determine a(w(x)).\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/13 - 2*s**2 - 756*s\/13 = 0 for s.\nAnswer: -14, 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 58 and 15341.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 273?\nAnswer: 2457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2220)\/27 - ((-20)\/(-50) - (-56)\/(-90))?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 12 - 28 - 13 - 28 + (-3 - 3 + 4)*(-3 + 0 + 1) - 9 + 5 - 6)*(-2*n**4 + 2*n**3 - 2*n**3).\nAnswer: 160*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 685156 to the power of 1\/2, to the nearest integer?\nAnswer: 828","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*v**2\/2 - 5263611*v\/2 + 2631807 = 0. What is v?\nAnswer: -1754538, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1625 - 365?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of 2*a**3\/15 + 42*a**2\/5 + 882*a\/5 + 9. Factor q(g).\nAnswer: 2*(g + 21)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 746, 1534, 2322, 3110?\n\"Answer: 788*h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 743, -52698, -197747, -480208, -945885, -1640582, -2610103?\n\"Answer: -7634*k**3 - 3*k + 8380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a - 3. Let g be z(2). Suppose 0 = g*y - y - 1486. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257295449?\nAnswer: 257295449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*t**4 + 523*t**2 + 825*t - 2.\nAnswer: 48*t**2 + 1046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 26 - 16dd3?\nAnswer: -16dad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 119098695?\nAnswer: -119098693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4*r - 3)*(150 + 128 + 66).\nAnswer: -1376*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c690 + 178?\nAnswer: c838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 304, 690, 1218, 1960, 2988, 4374?\nAnswer: 6190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -22*r**2 + 466*r - 2324. Determine c(5).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6858872.\nAnswer: 2, 659, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(45\/2))\/((-28)\/(-140)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-32)\/((-2)\/1). Suppose 0 = -w - 2*w + g. Let a = 28.7 + -29. Sort 0.4, w, a in descending order.\nAnswer: w, 0.4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8543*c - 2450 = -8473*c for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -0.3 (c) 45 (d) -0.465 (e) 0.1 (f) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 210313?\nAnswer: 43, 67, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 10. What is the nearest to i in 1\/11, -3, 2?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 561277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/(-9) + (-10)\/45. Suppose 3*f = 4*s - 2*f - 603, 2*s + i*f = 308. What is s rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of -b**8\/840 - b**4\/8 - 13*b**3\/3 - 9. Let r(h) be the third derivative of c(h). What is the first derivative of r(k) wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (11 + -5 + (5 - 10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 125 - 122. Suppose f = j - w, -18*f + 17*f = j - 9. Solve -2*b - k + 3*k = 18, 0 = 4*b + 2*k + j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h. Let d(t) = -119*t - 17. Let z(b) = -40*b - 6. Let n(k) = 20*k + 3. Let a(u) = 5*n(u) + 2*z(u). Let v(r) = -17*a(r) - 3*d(r). Determine v(s(f)).\nAnswer: -34*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -105315002 - 3?\nAnswer: -105315005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -142, -209, -276, -343, -410?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {s: 3, l: 2, f: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.909 + 106.991. Let u = j + -109. Put 1\/3, u, -0.6 in descending order.\nAnswer: 1\/3, u, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-135)\/(-855)*(-2)\/(-3)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 866\/5, 8.8125 in ascending order.\nAnswer: 0, 8.8125, 866\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 16*n - 355. Let y(h) = -45*h + 1062. Give -11*a(m) - 4*y(m).\nAnswer: 4*m - 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -4 - (-2 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/1)\/(6\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-54)\/12*(-8 + 0). Suppose z = 4*c - b, c = -0*c - b + 9. Calculate the remainder when 17 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358 minutes before 3:24 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -241*g - 1731661 = 24052*g + 891983 for g.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21215675?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 3. Let u be 0\/(7\/(y\/2)*3). Solve h - 2*l - 4 = -0, -3*h - l - 2 = u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -87 - (30 + -18 + (-3 - -5)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * -18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -401, -422, -461, -524?\nAnswer: -617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -6*a + 12 - 12 + 9*a + 11*a. Let p(o) = 14*o**2. Determine p(j(k)).\nAnswer: 2744*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1923, -1921, -1917, -1911, -1903, -1893, -1881?\nAnswer: -1867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 560, 35 in descending order.\nAnswer: 560, 35, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1011696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10295 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2773446 divided by -3.\nAnswer: -924482","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6626, -13246, -19866, -26486?\nAnswer: -33106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2362*m + 7 - 12.\nAnswer: -2362*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-309)\/(-15) - ((-23)\/(-5) + -4). Let z = t + -20. Solve 0 = 4*c - z - 8 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3015?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49 - 30. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2237229, 4474796, 6712365, 8949936, 11187509, 13425084, 15662661?\nAnswer: 17900240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9119805 weeks to microseconds.\nAnswer: 551565806400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*1*sqrt(170))\/(sqrt(30)\/(-1*sqrt(12)\/sqrt(4) - sqrt(3))) + 2.\nAnswer: 2 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 476 + 22?\nAnswer: 508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - sqrt(11)*-2) + -5)**2 - (-3*sqrt(11)*-2)**2) + -5 + 1 + (-5*(sqrt(539) + sqrt(539)*2*-5)*1)**2.\nAnswer: -30*sqrt(11) + 1091199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from {f: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of h**7\/2520 - h**6\/90 + h**5\/24 + 3*h**4\/8 + 7*h**2. Let x(u) be the second derivative of t(u). Calculate x(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1962199 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = -15 - 1. Let j = 24 + m. Suppose -g - 4*k + j = 3*g, 7 = -g + 5*k. Calculate the greatest common divisor of 21 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/1900294 and -7\/2850441.\nAnswer: 5700882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*((-14)\/(-6) - 3). What is the first derivative of 2 + 5*c**2 - 2*c**2 + c**2 + 0*c**t wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, e: 1, a: 1, c: 1, y: 1}. Give prob of sequence ye.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = -4*x + 5*h, -4*x = 4*h - 11 + 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -2634?\nAnswer: 1\/878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**4\/8 - 55*c**2. Suppose -18 = -h - 5*h. Let v(s) = s**2 + 25*s. What is h*v(k) + 24*i(k)?\nAnswer: 3*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122977*o = -3*a - 122980*o - 87, 5*a = 3*o + 47 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**5 + 36040*c**4 - 167*c**3 - 140169917*c**2 wrt c.\nAnswer: -120*c**2 + 864960*c - 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39686 to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/22, -7, 0.01, 4\/7, -2\/7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/5)\/((-8)\/(-20)). Let d be 12\/(-1) + k + 6. What is the units digit of ((-21)\/15)\/(2\/d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of 23*t**5\/60 + 488*t**2. Let o(s) = -21*s - 11. Let j(a) = -4*a - 2. Let f(w) = 11*j(w) - 2*o(w). What is z(f(b))?\nAnswer: 92*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 3:32 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 + -151. Let y = m + 136. Let u be (-1)\/3 + 0\/(-2). What is the nearest to y in -0.4, -2\/11, u?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 2:05 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/20 + 12\/5. Let a(s) = z*s**2 + 3*s**2 + 2*s**2 - 6*s**2. Let o(n) be the second derivative of n**3\/3 - n. Give a(o(h)).\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 19 - (1 - 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.0696 - -0.0404. Let k = w - 3.11. Let i = -6 + 9. Which is greater: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5325 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6834)\/(-306)*7*(6\/21)\/((-20)\/(-30)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 + -2 + 10)) + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - (11 + 0)) + (13 - 1 - 1).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -29 + 40. Let v = l - 14. Let x be 2*v\/(-12)*0. Let a(z) = -z**2 + 3. Calculate a(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 824*i**4 - 19*i**3 + 92229.\nAnswer: 3296*i**3 - 57*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-1425)\/(-90))\/5 - ((-11)\/6 + 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 459. Suppose -5*x = -3*n - 231, 5*x - 175 = -3*n + 44. Suppose -l = m + x. What is m rounded to the nearest 10?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 24. Suppose -r + 15 = -q. Let a = -13 + r. Calculate the highest common factor of a and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -999936 divided by -8064?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 12:25 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h**2 - h + 2. Let y be m(-2). Let z be (0 + (-7)\/14)*y\/2. Solve 4*v = -4*f - 8, 2*v + z*v + 4*f = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 23*x**7\/42 - 7*x**5\/20 + 331*x**4\/12 + 223*x. Find the third derivative of w(p) wrt p.\nAnswer: 1380*p**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-2 + (1 + sqrt(68) - sqrt(17) - (sqrt(17) + -5 + sqrt(17) + -2 + sqrt(17))))*-2*-6*-1)**2.\nAnswer: -13824*sqrt(17) + 59904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -56 + 21. Let p = s + 62. Is 8 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -15\/15339166 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*3175\/4445?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*r + 233 + 241 = 464, -26 = 11*o - 5*r for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22403486*y**6 + 37656493*y**2 wrt y.\nAnswer: -2688418320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 10*l + 11. Let g be d(-8). Let p be (g\/2 + -1)*1056\/(-462). Let n be 28\/6*(-4)\/(p\/(-3)). Solve 0 = 5*j + q - n, 0 = -5*q + 10 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - 7*y + 14. Let u(b) = -b + 11. Let t be u(7). Solve 0*i + y*i = -t for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25026\/(-2134) - (-6)\/(-22)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-6)*(-39 - -36))\/(-1). Let k = 0.87 + -0.17. Let u = 0.5 - k. Put 0, u, i in ascending order.\nAnswer: u, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(14\/(-6) + 2). Let m(r) = -r + 3. Let g be m(b). Differentiate f**2 + 2 + g*f + 0*f with respect to f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000223234 (base 6) to base 16.\nAnswer: 9a0fc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1539 by 2093.\nAnswer: -1539\/2093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 222 = -28*j + 1395 + 2075. Calculate the highest common factor of j and 203.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 3*n = 8. Calculate the common denominator of (n\/(-11))\/((-2)\/(-12)) and ((-83861)\/(-98660))\/(58\/(-120) - (-8)\/20).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.3 + 0.35. Let c = b + 0.25. Let v = c + -0.3. Which is greater: 3\/5 or v?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j**3\/5 + 148758*j**2\/5 + 2766192198*j\/5 + 2766043442\/5 = 0 for j.\nAnswer: -37189, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 2*i + 16, 2*y + 0 - 2 = -3*i. Solve -y*u - 3*a - 23 = 0, 0 = u + 4*u - 2*a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1293387952 to the nearest integer?\nAnswer: 1090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -21, -26, -43, -78, -137?\n\"Answer: -f**3 + 2*f - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 58112 divided by 26?\nAnswer: 29056\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7799\/6 < 1299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l = 14*l - 135. Are -45 and l nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 2*u - 245. Suppose 5*k + 0*k - u = 0. Calculate the remainder when k is divided by (-53)\/(-4) - 1\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -61 + 69. Solve s = -4*y, r = -r + 3*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-6)*((-2)\/(-14))\/((-81)\/1458)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75802 is divided by 9441?\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -124 + 89. Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/3483 (c) -18 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**2 - 7*r - 3. Let l be k(-6). Let x(b) = -b**3 + 11*b**2 + 12*b - 6. Let d be x(12). Let o = 5 + d. Sort l, -4, o in increasing order.\nAnswer: -4, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 873877007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4085.35289892 and -0.17.\nAnswer: 4085.18289892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 69. Suppose -i = 21*x - 24*x. Solve 6*z - x = -2 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27 plus -46151?\nAnswer: -46151.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -349*f**3*w**3 - f**2*w**3 - f**2 - 5*w wrt f?\nAnswer: -2094*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 18*c - 21. Let x(y) = -9*y**2 + 351*y + 12. Let i be x(39). Calculate l(i).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 + 39*m**2 + 51*m - 218. What is the units digit of q(30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/4)\/(((-176)\/(-64))\/11). Sort -5, -13, j in descending order.\nAnswer: -5, j, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1020 divided by 4\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -17. Suppose h*t + 3*f = 7*f - 98, t + 4*f = -61. Let r = t - -95. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1247 - -2546. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1383 = -25*d - 2008 for d.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 d when three letters picked without replacement from sdds?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2360*v**2 - 3114*v**2 - 2643*v**2 + 685*v**2.\nAnswer: -7432*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -14*p - 12. Let v(u) = 26*u + 23. Let j(r) = 6*v(r) + 11*x(r). Give j(5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31*s**5 + 5*s**2 + 10*s**2 + 40*s**5 wrt s?\nAnswer: 540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5886159211?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1161711 is divided by 24?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 + 4*s**2 + s - 3. Let r be t(-3). Solve -3*c = -v - 6*c - 2, -r*v - 6 = -2*c for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1364225, 1364240, 1364261, 1364294, 1364345, 1364420, 1364525, 1364666?\nAnswer: 1364849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 11:04 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2, -6473, -12946, -19417?\n\"Answer: q**2 - 6478*q + 6479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, 26, 209, 560, 1133, 1982?\nAnswer: 3161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-572))\/(5*51\/(-663)).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 2 = 3*v, 0 = 3*v - 3*k + 10 - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114838*k - 13512 + 13512.\nAnswer: 114838*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 5) to base 8\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is b (base 12) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1772 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 33345 and 75?\nAnswer: 166725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -5. Let f = z + 0. Solve r + 10 = -f*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 + -3. Let s(l) = -l - 20. Let f be s(-8). Let z = f + p. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14543 - 14511. What is the remainder when 445 is divided by l?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/9)\/q*q*q**(-2\/101)*q**(1\/26)\/(q\/(q*q**(2\/45)*q*q*q)) assuming q is positive.\nAnswer: q**(116279\/39390)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.983154 to 0 decimal places.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1981 divided by -3106.\nAnswer: -1981\/3106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 25*i**2 - 15*i - 1. Let r(n) = n - 3 + 2 + 0. Let x be 2*(0 + (-5)\/2). Let a(t) = x*r(t) + p(t). Factor a(m).\nAnswer: (5*m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from teigeeeteeieeieeeeet?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7. Let t(x) = x**3 - x**2 + x + 8. Let o be t(g). Is 21 a factor of -4*((-74)\/o + 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*1*3 + ((sqrt(216)*-2 - sqrt(216)) + sqrt(216))*3)\/(-5*(sqrt(2) - sqrt(10)\/sqrt(5)) + (sqrt(98) - sqrt(98)*-3)).\nAnswer: -9*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 7:27 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + 2)*(-5)\/4. Let u be 1\/((-26)\/(-14) + -2). Let y = u - s. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/29 and 3\/28*7*2\/(-5).\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38.11 + -37. Let a = y + -0.11. What is the nearest to -1\/4 in -4, 4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1230, -1224, -1222, -1230, -1254, -1300, -1374, -1482?\n\"Answer: -u**3 + 4*u**2 + u - 1234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m\/m**(1\/5))*m**4\/m)\/(m\/((m**0*m)\/m))**(-2\/55))**(1\/2))**(-3\/16) assuming m is positive.\nAnswer: m**(-267\/880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 413777 rounded to the nearest 100000?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10660071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-752)\/940)\/(27\/(-5))?\nAnswer: 4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 385845.6ns to milliseconds.\nAnswer: 0.3858456","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82*y**3 - 1 - 5*y + 71*y**3 + 5*y to q*y**3 + j + g*y + k*y**2 and give q.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(1 - (1 + -6)). Suppose 5*j - 7 = u. Suppose -5*z + 36 = -3*r, 0 = 3*z + z - 5*r - 34. Solve b = -z*v + 3*v + 16, -j*v + b = -16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*f = -f - 143 - 67 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1347474 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*g = 15, -3*g + 10 = 3*r - 2. Suppose 3*q - r = -1. Suppose 5*t = q*t + 171. Calculate the remainder when t is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -114648.9 rounded to the nearest one hundred?\nAnswer: -114600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1279, -3, -18, 1\/9, 18, 0 in increasing order.\nAnswer: -1279, -18, -3, 0, 1\/9, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a = 5*y - 95, -a = 2*y - 26. Let c be (-72)\/(-6)*4\/3. Suppose s = -4*r + 2*r + c, -2*s = 5*r - 42. What is the highest common divisor of a and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40*x - 3 - 136*x + 3 to q + i*x and give i.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 317649326?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4115*v**2. Let c(j) = 12*j. Give r(c(q)).\nAnswer: -592560*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -324*u + 5297 + 39 + 820 = 0 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 16. Let q be c(-8). Let h = q - -4. Calculate the remainder when 13 is divided by 6\/h - 95\/(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 897 + -869. Solve -f = 8*d - 22*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -5*c - 47. Let f(r) = 16*r + 142. Calculate 3*f(d) + 10*o(d).\nAnswer: -2*d - 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2. Let p(b) be the first derivative of 135 + 0*b + 164*b**2 - 1\/3*b**3. What is p(g(a))?\nAnswer: -4*a**4 + 656*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/80)\/((-45)\/(-60))*1*-5*10?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -4, -3, 3 in decreasing order.\nAnswer: 3, -3, -4, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -165 or -17\/37?\nAnswer: -17\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 8079 divide 4421428407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 202 divide 128464382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 7*d**2 + 2*d - 10. Let x be 7 + 1\/(-2)*1*0. What are the prime factors of k(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 128\/1224 + 4\/34?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**4 + 122*q**3 - 356*q**2 + 2*q - 2. Let a(g) = 2*g**4 - g**2 - g + 1. Let t(c) = 2*a(c) + k(c). What is the third derivative of t(j) wrt j?\nAnswer: -48*j + 732","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 3*d**2 - 2*d - 2. Let r = -748 - -750. Give w(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - ((12 - 2) + 6 + -8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9392625 and 2025.\nAnswer: 675","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1222 + -12320011112?\nAnswer: -12320013000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 12.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9897542 is divided by 86.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -122469 and -0.0481.\nAnswer: 5890.7589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*j = 59082, -5*j + 199706 = 5*v - 95764. What are the prime factors of v?\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**3\/(r*r**(1\/4)))\/(r**(-2)\/r**(3\/7)) assuming r is positive.\nAnswer: r**(117\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 764786 to the power of 1\/2, to the nearest integer?\nAnswer: 875","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*k**2 + 57*k**2 - 54*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2292 or 1?\nAnswer: 2292","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.4 (b) 0.3018 (c) -1\/24 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2450114?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 0*a**6 + 1\/6*a**4 + 0*a**5 - 2*a - 12*a**2 + 0*a**3 + 5\/14*a**7 - 10. Find the third derivative of c(d) wrt d.\nAnswer: 900*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4*3\/(-72) + 213\/18. Let p = 16 - g. Solve 18 = p*t - n - 0*n, 5*t = -3*n + 14 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:12 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3655 (base 8) in base 12?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24775158.\nAnswer: 2, 3, 97, 42569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 2:04 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and 190?\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -936428 in increasing order.\nAnswer: -936428, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3129 a factor of 2066186542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - 7. Let m = -3 - c. Let s = 33 - 15. Calculate the least common multiple of m and s.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -115, -669, -2187, -5155, -10059, -17385?\n\"Answer: -81*h**3 + 4*h**2 + h - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 79*z**5\/60 - 2*z**2 + 37*z. Let t(a) = 2*a**2. Determine t(u(v)).\nAnswer: 12482*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254*w - 272*w = 0. Put -218, w, -12 in increasing order.\nAnswer: -218, -12, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10672933 and -424.1293.\nAnswer: -10673357.1293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -360, -721, -1082?\n\"Answer: -361*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -146*t - 2619 + 4809 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lml when three letters picked without replacement from {l: 2, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(3\/36*-2). Let c(h) = -h**2 + 6*h + 3. Let d be c(u). Solve -6 = -l + d*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 325*j**2*s + j*s - 160 wrt j.\nAnswer: 650*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -7 + 2 - 5*x**3 + 4*x**3 - 4*x + 8*x**2. What is the lowest common multiple of 32 and w(3)?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + i = 113, 11*y - 10*y = 3*i + 31. Calculate the remainder when 143 is divided by y.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 550458 and 289539.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -29\/2, 3, -6.7, 29, -96?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -7, 10, -0.5, 6\/35?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**3 - 30*x**2 + 132*x + 120. Factor n(y).\nAnswer: -3*(y - 2)*(y + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-60)\/(-140))\/(6\/4). What is the closest to -3\/5 in 4, x, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1) + (-1)\/((-30)\/(-187)) + (-100309)\/(-18238)\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*u**3\/5 + 14331*u**2 - 142611363*u\/5 - 47545083\/5.\nAnswer: -3*(u - 3981)**2*(3*u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 3*j + 1. Let g(d) = d**2 + 3*d - 2. Let m(l) = 3*g(l) + 2*y(l). Let p be m(-3). What is the remainder when 8 is divided by p\/22 - (-711)\/99?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 437010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47.502 + -47. Let z = -0.018 - w. Let u = 0.02 + z. What is the closest to -1 in u, 0, 1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3082 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 984 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 21402182 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 12 = 4*u. Suppose 4*n + 4*x = n + u, -5*x + 5 = 5*n. Let c(j) = j**3 - 7*j**2 + 10*j. Let l(o) = -2*o**2 + 3*o. What is n*c(b) + 7*l(b)?\nAnswer: -2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, -1, 2, -1\/453, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 + 5*t**2 + 2*t + 4. Calculate the remainder when b(-4) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z + 3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66.05 - 68. Let j = -0.05 + g. Is -8 >= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, -153, -255?\nAnswer: -357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 962\nAnswer: -5772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 496 = r, r = -5*s + 554 + 65. What is the remainder when 463 is divided by s?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -177*d**3*q + 5*d**2*q + 3976*q wrt d?\nAnswer: -531*d**2*q + 10*d*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -43.675?\nAnswer: -21.8375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (0 - 1))*31\/4836*26. Let b(r) = -r**3 - 2*r**2 + 2*r - 2. Let f be b(-3). Put u, -11, f in ascending order.\nAnswer: -11, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - 7*d**2 - 109*d - 1502. Give x(-14).\nAnswer: 1396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 5*m, -t = 10*t - 22*m + 18*m - 51 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 8738291 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 497 + -462. Let n = -8 + 17. Calculate the remainder when p is divided by n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3140, 6279, 9418, 12557, 15696?\n\"Answer: 3139*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 76*g**2 + 454*g - 1. What is the remainder when l(-66) is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, z: 6, q: 1, p: 1, c: 1, r: 3}. What is prob of picking 1 z, 1 c, 1 r, and 1 q?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 525 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7701280 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-29)\/k**23)\/(k\/(k**(-4)*k)*(k*k\/(k*k*k\/(k*k**(-10\/9))))\/k) assuming k is positive.\nAnswer: k**(-485\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 240469 or 5\/8?\nAnswer: 240469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2 = -8. Suppose -29 = -4*p + 11. Calculate the least common multiple of p and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/(-440))\/((-3)\/(-3 + -9))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 530\/477*(-36)\/(-15)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**8\/1680 + r**7\/840 - r**6\/360 - r**5\/120 + 4*r**3\/3 + 5*r**2. Let i(s) be the first derivative of z(s). Factor i(x).\nAnswer: x*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, h: 2, l: 2, g: 7, y: 3}. Give prob of sequence glgr.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 6 + -8 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131 - 131 - 20*j**3.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-325)*-5)\/(-9 + (-783)\/(-90))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2103 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 161020.676 plus 629.91?\nAnswer: 161650.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 55 = -0*c. Let q(x) = -2*x - 10. Let t be q(c). Let g be (2\/t)\/((-3)\/6). Put -3\/5, 5, g in increasing order.\nAnswer: -3\/5, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4441 less than or equal to -4441?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 914 + 432. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 3*h + 18 = 0, 4*h + 0*h - 66 = -3*w - 122 + 61 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -2*n + 4*q - 21, -2*n = -3*q + 15. Let f = 4.5 + 63.5. Let k = f - 67.8. Put k, 1\/2, n, -0.3 in increasing order.\nAnswer: n, -0.3, k, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171223 to the power of 1\/2, to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-16)*d)\/d**(-17))\/((d**(-10)*d)\/(d\/(d**(-6\/7)\/d))))**43 assuming d is positive.\nAnswer: d**(4171\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 253157813 a multiple of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 1\/12*n**3 + 5\/4*n + 11 + 3\/4*n**2. Factor s(c).\nAnswer: (c + 1)*(c + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 3, v: 1, z: 4, d: 5, h: 1}. What is prob of sequence xd?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4805.4 in -0.05, -7, 4, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15153 (base 7) in base 8?\nAnswer: 10153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/9 + 1112725*c\/9 - 1112726\/9 = 0 for c.\nAnswer: -1112726, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**9\/q**(1\/7))**(5\/4) assuming q is positive.\nAnswer: q**(155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 160965?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209159, -836670, -1882523, -3346718?\nAnswer: -5229255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 248 (b) 1\/11 (c) 4 (d) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1446, 2920, 4394?\n\"Answer: 1474*p - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1035, -2242, -3615, -5154, -6859?\nAnswer: -8730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 - (3 - 53))\/(-2). Let t = u - -26. Let y be 1 - t - (-3 + -1439). Round y to the nearest one hundred.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -377579*x. Let d(z) = -72*z. What is q(d(v))?\nAnswer: 27185688*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*r - 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9*f - 81. Let x be n(-13). Is x at least 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 865, 6857, 16827, 30775?\nAnswer: 48701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 780309?\nAnswer: 3, 277, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -412 - -42. Let p be m\/(-12)*2 + (-2)\/(-6). Calculate the highest common factor of 93 and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22217?\nAnswer: 13, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of -2*a**5\/15 + a**4\/4 - 2*a**2. What is the second derivative of r(i) wrt i?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*m + a - 14 = -102*m, -4*m = -a + 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -72 + 65.6. Let w = v - 1.3. Round w to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express s**3 - 2*s**4 + 47 + 37 - 85 - 7*s as z*s**4 + y*s**2 + b + f*s**3 + m*s and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*d - 232*d + 57*d + 54*d + 63*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 454*v + 10090. Calculate c(-22).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14*(-12)\/(-42) + 102\/(-2). Suppose 4*l = q - 196, 2*q + 98 = -4*l - 98. Which is bigger: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/11 > -28\/73639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-59400)\/(-17820)*1\/20\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468055 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4 - 7550*i**3 + 52801*i**2.\nAnswer: i**2*(i - 7543)*(i - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:05 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.68 - 40.32. Let d = -40.99999916 - p. What is d rounded to 7 decimal places?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 660 and 2463?\nAnswer: 541860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 33\/506*58\/(-6). Let z = 3\/23 + x. Which is the nearest to z? (a) 1 (b) -5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 0, -13216.5 in decreasing order.\nAnswer: 0, -16, -13216.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 1732 = 4*n - 2*u, -4*n + 1742 = -3*u. What are the prime factors of n?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -128158?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 167 + 170. Let q = 359 - r. Calculate the remainder when 99 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2\/3, -118, -0.4 in descending order.\nAnswer: -0.4, -2\/3, -5, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - t**2 + t + 1. Let z be v(-2). Let q be (-10)\/6*(-22 + 1). Suppose z + q = m. What is the remainder when m is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4)*(-2)\/(-3). Let p be -3 - (1 - -1)*k. Which is the nearest to p? (a) 4 (b) 0.9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -281 - -282.31. Let o = u + 0.69. What is the nearest to 1 in 3, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58*d**5 + 3*d**4*k**2 - 9*d**2*k**2 - 27*d**2 wrt d.\nAnswer: 3480*d**2 + 72*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 503 + 664. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 17, 5, 8, -119 in descending order.\nAnswer: 17, 8, 5, 0, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 + 2*f**4 + 0*f**4 + (-3 + f**3 + 3)*(0*f - 2*f + f))*(-21 + 16*f + 21).\nAnswer: 16*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + 2*x**5 + (-2*x**4 + 2*x - 2*x)*(4 - 2*x - 4) - x**4 + x**5 + x**4 + (4*x**3 + 0*x**3 - x**3)*(-1 + 1 - x**2).\nAnswer: 4*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -i**2\/2 - 2*i - 1. Let h be b(-4). Solve 0 = -7*f + h*f + 10 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 219 - 211. Calculate the smallest common multiple of 258 and q.\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**3\/3 - 3*l**2 + 7*l - 2. Does 6 divide q(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03897941 to three decimal places.\nAnswer: -0.039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 1. Let x be -11 - -2 - 1\/(-1). Let f be (1 + q)\/(2\/x). Solve -f*t = -7*t + 9 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (812\/174)\/((3\/(-2))\/((-216)\/32)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1. Let o(d) be the second derivative of -7*d**3\/3 - 3*d**2\/2 + 2232*d. Determine -o(b) - 2*s(b).\nAnswer: 14*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*k + 9*f - 10, 4*k - 4*f + 8 = 0. Solve -3*w - 27 = 3*l, w + 5*l + k = -24 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 569, 1746, 3713, 6476, 10041?\nAnswer: 14414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*3127\/8*-2. Let o = -2110 - i. What are the prime factors of o?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -484*i + 63168 = -476*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26955 divided by 5391?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 9:03 PM?\nAnswer: 8:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of 8*g**3\/3 + 88*g - 52. What is the tens digit of o(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -59 or -414\/7?\nAnswer: -414\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47623.03 - 47861. Let h = u + 2.97. Let x = h + 234.9999314. Round x to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, v: 8}. Give prob of picking 4 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6.95 * 495.1\nAnswer: -3440.945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 43070, 43057, 43058, 43073, 43102?\n\"Answer: 7*r**2 - 34*r + 43097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 2*w + 2 = 0. Let s be w*1 + (2 - 0). Suppose -s*t + 3*h = -8*t + 71, t + h - 19 = 0. Is 7 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1882 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 + 3)*(-301 + 607 + 5*v**2 + 7*v - 307).\nAnswer: -10*v**2 - 14*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, -1, 103\/17479?\nAnswer: 103\/17479","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**3 + 2*j**2 - 2*j + 1. Let i be o(1). Suppose 0 = s - i + 3. Solve -4*a - s - 1 = -5*t, 5*t = 5*a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -18*k + 3. Let h be y(-4). Let s = 11 + -7. Suppose s*n = -5*g + 35, -n + 2*g + 55 = 2*n. Calculate the greatest common divisor of h and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o**3 + 4*o**2 - 5*o + 3. Suppose 2*d = 2*m + 2*m + 24, 0 = 2*d + 4*m + 8. Is p(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 5*i**2 - 4*i - 4. Let w(y) = 11*y**2 - 9*y - 9. Let k(n) = 9*t(n) - 4*w(n). Let g(c) = 5*c**2. Determine k(g(l)).\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 4. Let g(x) = 16*x + 99. What is n(g(p))?\nAnswer: 16*p + 103","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-90)\/27)\/(2\/(-3)) - -1. Suppose q*x + 2*x = 24. Suppose -2*c = 4*g + 4, -x*c + 2 = -2*c - 2*g. Solve 3*z + z - 4 = c for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 30465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 4*n**2 - 24*n - 155. Is i(-9) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4*w - 5*w + 3*w + 5*w. Let y(n) be the third derivative of -1\/12*n**4 - 3*n**2 + 0 + 0*n**3 + 0*n. Calculate -3*f(h) + 2*y(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: bb3a (base 13) to base 4\nAnswer: 12113123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -111893363 + 1201.775\nAnswer: -111892161.225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(243) - (1 + sqrt(243))) + 3 - (-3 + 2*sqrt(243) + sqrt(243))) + -3 + 1.\nAnswer: -27*sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 320 = 3*v, -l + 159 = -0*l + v. Suppose -175 = -s - 3*o, s - 3*o - l = -0*s. List the prime factors of s.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -38 in 0.1, 1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 16*z**3 - 7*z**2 + 6*z - 2. Let g be l(1). Differentiate 33*s - s**2 + 10*s + g - 26*s + 26*s with respect to s.\nAnswer: -2*s + 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -27*f - 52*f + 17*f - 32. Does 14 divide q(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7996 = 6*j - 19034. Does 37 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2121 (base 5) to base 8\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d\/(d\/((d\/(d*d\/d**(-6\/11)*d))\/d)))\/d)\/d)\/(d\/(((d*d*d**(-2))\/d)\/d*d)))\/(d**(1\/2)\/d**(-11)) assuming d is positive.\nAnswer: d**(-419\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-240)\/80*(-6)\/(-45)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -25*u + 24*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/24 and 149\/84.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -93794372*v**5 - 55961110*v**4 + 222269158*v**3 - 78819364*v**2 + 6305704*v - 16 = 0.\nAnswer: -2, 1\/394094, 2\/17, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5*(-5*(sqrt(66)\/sqrt(6) - sqrt(11)) - sqrt(11)) + 5.\nAnswer: -5*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41, 4, -5, 61.\nAnswer: -41, -5, 4, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -x - 4*x, 0 = -5*p + 3*x + 108. Suppose -121 + 124 = 10*t - 117. Calculate the lowest common multiple of p and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 216\/(-15)*(-1570)\/(-942)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 56781 divided by 701\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**3 + 21*j**3 - 38*j**3)*(j - 2*j + 2 + 3*j).\nAnswer: -28*j**4 - 28*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.652 - 8.592. What is the second biggest value in 3\/5, 0.1, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l + 8. Let z(q) = 9*q + 24. Let g be 12\/((-60)\/(-115)) + -19. Calculate g*z(s) - 11*m(s).\nAnswer: 3*s + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*u**2 - 1 - 31*u**2 - 6*u + 5*u + 3*u**2 in the form j*u + o*u**2 + f and give o.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z**2 - 5*z. Suppose -12 = 13*d + 1. Let l be u(d). Let p(s) = -2*s - 8. Give p(l).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 41 + -38 + 153?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(1\/4))**(-26))**(-27\/5)*(s**(-2))**50\/(s*s**(-2\/9))**(7\/3) assuming s is positive.\nAnswer: s**(3979\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4812088588 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 99106465 divided by -1?\nAnswer: -99106465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 30072378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 6 = -731*m + 726*m, -t + 3*m = -22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2502517, 0 in descending order.\nAnswer: 0, -5, -2502517","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*(0 + sqrt(68)\/sqrt(4) + 5 + sqrt(17)))**2 + (-1*1*sqrt(102))\/(sqrt(24)\/(sqrt(4) - sqrt(64))).\nAnswer: 83*sqrt(17) + 373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 841684.\nAnswer: 2, 210421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -209*k - 1 + 93*k**3 + 211*k + 3 as p*k**3 + t*k**2 + s + j*k and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -869 - -1056. List the prime factors of m.\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1389, 5649, 12763, 22713, 35481, 51049, 69399?\nAnswer: 90513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14281 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84 (base 9) to base 10.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 496209 and 147?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/11)*r*r\/(r*r**(-3\/2))*r**(-3\/4)\/(r\/r**(-2\/13)) assuming r is positive.\nAnswer: r**(445\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -33. Suppose 6*h + c + 29 = 0. Let l(p) = p**2 + p - 7. Give l(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227044 is divided by 37840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 5adb53?\nAnswer: 5adb4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31716 (base 8) to base 11.\nAnswer: 9a67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91767818537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8002517099 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4 - 13628*u**3 - 15956136*u**2 - 6929811792*u - 598336442784 = 0. What is u?\nAnswer: -1098, -113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1594 = -42286*t + 42166*t - 2366 for t.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - 51740.\nAnswer: -51744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/10 of a milligram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 65 + 239. Suppose 0 = -5*g + s + 14. Suppose 22 + g = 4*f. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b464 (base 12) to base 9.\nAnswer: -165664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 9*j**2 - 12*j + 23. Let b = -76 - -86. Let y be t(b). Let w be 221\/34 - (-3)\/(-2). Solve -w*z - 28 = -y for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41156 < -41156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.2? (a) 0.4 (b) 0.11 (c) 2\/13 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/216 + (-4)\/(-18))\/((-98)\/21 + 11)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 16. Let u be 6*1\/2 - l. Let x = 0.03 - 0.03. What is the closest to x in u, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(513)\/(-3*sqrt(9)))\/(sqrt(18)\/(sqrt(18)\/sqrt(3) + sqrt(6)) + (sqrt(3) + 1*sqrt(3))*-2).\nAnswer: -10*sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 324076 divided by 2\nAnswer: 162038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 9*i**2 - 3*i. Let y be j(-3). Let p(t) = -t**2 - 67*t - 132. Let b be p(-64). What is the greatest common divisor of y and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a - 3. Suppose -t = n - 3, 0*n + 5*n + 4*t = 19. Let o be f(n). Which is smaller: o or 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 1467064*k.\nAnswer: 1467064*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 31*h**3 + h**2 - 2*h + 7. Let q be (-1)\/(-5) + 87\/15 + -4. What are the prime factors of p(q)?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 578 - 527. Solve 0 = 46*g - x*g + 25 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70881049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*b*z**2 - 85708*b*z - 2*b + 15431589*z**2 - 47*z wrt z.\nAnswer: -12*b + 30863178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 3:18 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 6. Let d be g(4). Suppose -20 = d*a - a. Let z = -6 - a. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8421, -8295, -8087, -7797, -7425, -6971, -6435?\nAnswer: -5817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(10\/(-3)))\/((-448)\/320). What is the second smallest value in d, -52, -2\/3, 0.1?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/45 and -52\/33.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of 17*w**6\/60 - w**5\/60 + w**4\/24 - w**2. Let p = 4 - 3. What is the remainder when o(p) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -682*b + 2732. Calculate o(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -u - 4. Let t = -661 - -250. Let r = 411 + t. Which is the nearest to 3\/5? (a) 1\/2 (b) u (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9147749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**3\/3 - 10*p**2 + 21*p - 20. Let x(m) = 0. Calculate m.\nAnswer: -21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1329*b**5 + 16*b**2 + 1133*b**5 - 8*b**2 + 4480*b - 7578*b**5 - b**4 - 9*b**2 wrt b.\nAnswer: -466440*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 63.850338ns?\nAnswer: 0.000000000017736205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -315590.2 to the nearest 100.\nAnswer: -315600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 8:17 AM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-39 - (23 + -45))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1604079.\nAnswer: 3, 178231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5610340 a multiple of 340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 14*b**3 + 3*b - 7. Let g(h) be the second derivative of -7*h**5\/20 - h**3\/3 + 2*h**2 + 192907*h. Suppose 2*c = -0*c + 8. What is c*j(z) + 7*g(z)?\nAnswer: 7*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - 41. Let o be ((-3482)\/(-38))\/(483\/z). Let r = 2\/437 - o. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 - -1*(0 - -20). Let o(i) = i**3 - 8*i**2 - 8*i - 6. Let b be o(9). Let h be (b + -4 - 0)*(-33)\/11. Calculate the greatest common divisor of h and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66050000 rounded to the nearest 1000000?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/2 and -7\/10420?\nAnswer: 10420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/99)\/((-161)\/(-207))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 78 by 16436.\nAnswer: 39\/8218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - m - 1 = 0, 3*z + 3*m = 9. Let f(n) = 58*n - 12 - 2*n**2 + n**z - 48*n. Let g be f(9). Sort g, -1, 3 in decreasing order.\nAnswer: 3, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 divided by -2?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 158694158 to the power of 1\/2, to the nearest integer?\nAnswer: 12597","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from ffeeeeeffffeef.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*q - 2*q**2 - 3*q - 4*q**2 + (4*q - 3*q - 2*q)*(-q + 0*q + 0*q) - 3*q**2 + 3*q**2 + 3*q**2 to the form n*q + j + w*q**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 1 = u, -4*u - 5*j + 0 = -4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0348 - -0.2652. What is the nearest to 105 in -1, 5, q?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4*u = 192, 72 = 2*r + u - 10. Let s(g) = g + 17. Let d be s(-12). Calculate the highest common divisor of r and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j = 9. Suppose 0 = 2*x - 2 - 2, -3*t - 5*x = -25. Suppose t*f = j*f + 16. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4205 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17493637 is divided by 932.\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 7*h + 5260. Suppose -h = -12*t + 2114. What are the prime factors of t?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73788.\nAnswer: 2, 3, 11, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f\/((f**(2\/9)*f*f*f)\/f)*f))**(-20)*f\/(f*f*f\/f**(-7)*f*f*f)*f\/f**(1\/3) assuming f is positive.\nAnswer: f**(-502\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of 5*b**7\/14 + 5*b**4\/3 - 14*b. What is the third derivative of s(i) wrt i?\nAnswer: 900*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639177900 rounded to the nearest 1000000?\nAnswer: 639000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 2*x + 11 = -2*u, -40 = -5*u + 5*x. Let o = 21 + -12. What is the greatest common divisor of u and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + l - 7, -y - 3*l + 2 = -13. Suppose -y*x + 6*x - 30 = 0. What is the remainder when (-9)\/6 + (-891)\/(-22) is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/4 + n**2 + 4*n + 73. Suppose -o = 5*q + 14, -4*q - 2*o = 14 - 4. Calculate b(q).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.41 - 11.1. What is o rounded to 1 dp?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1421 a factor of 801426082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence is when two letters picked without replacement from aaiaiisisaaisis.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-16\/3)\/(f**(-2)\/f))\/(f**17*f\/f**0) assuming f is positive.\nAnswer: f**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.16 and -1704130.\nAnswer: -1704130.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200434 and 22646?\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from qggqgggqrggqg?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -199, -208, -205, -184, -139?\n\"Answer: r**3 - 16*r - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 90351536.\nAnswer: 90351536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5309065.\nAnswer: 5, 101, 10513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 193927 - 193927 - 266*n**2 + (3 - 1 + 1)*(n**2 - 3*n**2 + 3*n**2).\nAnswer: -263*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3*q - 3512*c = -3516*c + 26, 5*q + 7*c - 86 = 4*c for q.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*x**2 + 41*x**2 + 63*x**2.\nAnswer: 44*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + 1 + (-2 - -2). Suppose 4*y - 3*m - 1 = 16, 4*y + 4 = -4*m. Which is greater: y or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4230263 and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-22)\/(-1 - -2)*-1 and (9\/2)\/(-4 + 105\/24).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-27 - -2)\/(-4 + 3). Is 12 a factor of 2\/5 + 1315\/w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.677 - -1.323. Put -185, c, 2 in increasing order.\nAnswer: -185, 2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -30*n**2 + 11*n. Let c(l) = -2*l. What is c(u(w))?\nAnswer: 60*w**2 - 22*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 678*n + 1. Is u(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 + 22*y**2 + 11*y + 13. List the prime factors of h(-21).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i - 4. Let f be c(-2). Suppose f*h = -2*y + 2166 - 818, -3*y + 1017 = 3*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5353*j**2*n**3 + 2*j**2*n**2 - j**2 + 6268*n**2 wrt n.\nAnswer: 32118*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7455 is divided by 1515?\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 4*f = 12, 0*f + 10 = 3*q - 4*f for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 11:48 PM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 + 171 = 6*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (155 - 158 - 31*i - 237*i)*(45 + 0 + 4) to the form f + r*i and give r.\nAnswer: -13132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:01 AM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 5 - 2)*(4*w**2 - 4*w**2 + w**3)*(-551 + 551 + 13*w)*(0*w - 2*w + 0*w).\nAnswer: -468*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288217?\nAnswer: 491, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86578 is divided by 158.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 42571 + -42449. Solve -u = -30*k - 332 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + ((6*(sqrt(252) + 0))**2 - (sqrt(252) + -5*1*sqrt(252))**2).\nAnswer: 5042","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.16848 milligrams in tonnes?\nAnswer: 0.00000001116848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wyyiwwiiiywwww. Give prob of sequence wyyi.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 209225\/13 + -16091. Find the common denominator of v and ((-1)\/(-13))\/(2\/(-12)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157\/237028 greater than or equal to 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 40697561 + 39462471. Let x be d\/(-48) + 4\/6. Round x to the nearest 100000.\nAnswer: -1700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + 13. Let s be (2 - 1)*(0 - o). Solve s = b - 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 131*t**4 + 3*t**3 + 197*t**2 - 4. Let w(d) = d**4 - d**3 - d**2 + 1. Let u(k) = l(k) + 4*w(k). What is the third derivative of u(b) wrt b?\nAnswer: 3240*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y + 1885. What is the remainder when u(32) is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.1, -12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 68900 and 177073.\nAnswer: 17707300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + sqrt(34)\/sqrt(8)).\nAnswer: -3*sqrt(17)\/2 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*i - 2*u = 22*i - 17, i - 5*u + 38 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 19081 = b - 19086, 3*b + 7*c = -17 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -6*r**2 - 67*r - 76. Calculate s(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70785950.\nAnswer: 2, 5, 23, 61553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h**4 + 0 + 0 + (2*h**2 + 2*h**2 - 2*h**2)*(-439*h**2 + 647*h**2 - 355*h**2)*(-3 + 3 - 1) as u*h**3 + c*h**4 + d*h + o + w*h**2 and give c.\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 1:20 PM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -d*i - d + i**2 + 22*i - 64 wrt i?\nAnswer: -d + 2*i + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + sqrt(147))*6 + sqrt(147))**2*-2*3.\nAnswer: 216090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.26 - 0.14. Let u = 9416 - 9412.6052. Let k = u + j. Round k to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 15, 21, 0.4 in increasing order.\nAnswer: 0.4, 15, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/13 + 4*o**3\/13 - 22*o**2\/13 - 24*o\/13 + 72\/13.\nAnswer: 2*(o - 2)**2*(o + 3)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2762473 divided by 394639?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93\/7 - 13. Let u be (-100)\/(-126) + (12\/(-27))\/2. Factor 2\/7 + u*s + x*s**2.\nAnswer: 2*(s + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 105492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.948178 rounded to 1 decimal place?\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11850000 rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 5*g = 17, -5*f = -4*g + 2*g - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3908635 rounded to 2 decimal places?\nAnswer: -1.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 34.021*-61.5\nAnswer: -2092.2915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 5*h + 5. Give j(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h + 234. Let v be t(51). Solve -10*d + 7*d - 5*p - v = 0, 5*d = 4*p - 13 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 10. Suppose 2*q - 15 = 3*p, 2*q + v*p = 4*p + 5. Put q, 4, -3, -2 in decreasing order.\nAnswer: 4, q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 11506505?\nAnswer: 5753252.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -494\/3469?\nAnswer: -494\/3469","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/4 + 117*w**3 + 2307*w**2 - 175968*w + 1696512.\nAnswer: 3*(w - 16)**2*(w + 94)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9356 + -4743. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -2. Let o = f - -8.6. Let j be 96\/360*(3 - 0). What is the closest to 0 in j, 1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j\/((j*j**5)\/j)*j**(2\/5)*j**(1\/5))\/(j**(-2)\/(((j*((j\/(j*(j**(-2\/9)\/j)\/j))\/j)\/j*j*j)\/j*j)\/j)*j**(-4)\/j*j**(1\/2)\/j) assuming j is positive.\nAnswer: j**(479\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -19) + (2 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2240 and 2117080?\nAnswer: 16936640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4\/247 + 8653\/494. Let w = 1467\/10 - 651\/5. Find the common denominator of w and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13\/10 or -3418?\nAnswer: -3418","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxknuzi. Give prob of sequence znx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 13\/7 + -2 - 1575\/(-49). Let l = k + -29. Solve -2*m - 2 = -i - 4, -l*i - 4*m - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 163041255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of 1545*y**7\/7 - y**4\/4 + y**3\/3 - 1497*y**2\/2 - 3352. What is the third derivative of a(x) wrt x?\nAnswer: 185400*x**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77392\/28*10\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -26675.18?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -539667 equal to -539689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 - 114 - (-1 - -4 - 54\/14)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from lllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/420 or -82589?\nAnswer: -82589","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 divided by 419?\nAnswer: 81\/419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 = 2. Suppose -y + 3*a = -37 + u, 0 = 4*a + 12. Let h = -5 - -14. Calculate the highest common divisor of h and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t - 52. Let w be 3*-1*((-22)\/6 - 1). Let h be j(w). Solve 5*u + 7 + 21 = h*m, 4*u + 12 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4933*o + 3249*o = 192*o - 1014730 for o.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 0.1. Let w be ((-14)\/280*-5)\/((-2)\/4). Which is the second smallest value? (a) o (b) w (c) 0.5 (d) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219625 and 203.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1786\/7 or -255?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13731*a**2*s + 3*a**2 - 2*a*s + 3*a - 4281*s + 94 wrt a.\nAnswer: -27462*a*s + 6*a - 2*s + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4071761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 31*v = -12, -5*n - 5*v = -409445. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 991*a - 2*a**3 - 27 + 0*a**2 + 29 + 6*a**2 + 154*a.\nAnswer: -2*a**3 + 6*a**2 + 1145*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 21*m**2 + 3*m + 13. Let o be r(-21). Is 11 a factor of 2\/5 + (-2180)\/o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -14. Suppose -v + m*v = 20. Suppose -v*h + 15*h = 25. Solve 0 = k + h*o + 16, 8 = -0*k - k - 3*o for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/4 - (-116)\/(-36). Which is the second biggest value? (a) 0.2 (b) -0.4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25220\/388)\/(5\/(-3))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 14. Let g be (-14099990)\/p + (-2)\/3. Round g to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69930*c*j**3 + 78*c + 311*j**2 wrt j?\nAnswer: -419580*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -388 - 3236 = -54*l - 630 + 2892 for l.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -958, 58082, -5 in ascending order.\nAnswer: -958, -5, 58082","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14500 = 4*p - 2*y, -2*y - 5873 - 1381 = -2*p. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -83*h - 2. Let r be a(-8). Let x = r + -488. List the prime factors of x.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**3 + 23*s**2 + 10*s + 31. Let a be k(12). Suppose 4*t - 3 = -5*c - 24, 2*t - 27 = 5*c. Solve a*x - 3*x = 5*b + t, -b = 3*x - 15 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -171 - 4941*v - 310 + 481 in the form n + m*v and give m.\nAnswer: -4941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5666910?\nAnswer: 2, 3, 5, 109, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 440030 to the nearest integer?\nAnswer: 663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 1 - (-14 + (-8 - -9)).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 624 - 449. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*j**2\/21 + 122*j\/21 - 62\/21.\nAnswer: 2*(j + 31)*(2*j - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 4*a - 6. Let q be k(4). What is the units digit of ((-4)\/q)\/(1\/(-60))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kx when two letters picked without replacement from {x: 2, g: 5, k: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*m + 44, 4*m - 17 - 11 = -a. Suppose 5*p = -0*p - y + 130, -4*y = 0. What is the remainder when p is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + 1*sqrt(132)*6 - (sqrt(132) - -1*(sqrt(132) - sqrt(132)*-1)))\/(sqrt(48)\/(5*sqrt(4)) + sqrt(108)\/sqrt(81)).\nAnswer: 15*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 0) + 6\/(4\/(-2)). Which is the closest to -0.1? (a) 3 (b) i (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 2*m**2 + m + 6. Let i be (39\/(-9) + -3)*(-3)\/(-2). Let w(o) = 4*o**3 - 4*o**2 + 2*o + 11. Calculate i*z(x) + 6*w(x).\nAnswer: 2*x**3 - 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 70171220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 7145.15 litres in millilitres?\nAnswer: 7145150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/9 + 398974*k\/9 = 0 for k.\nAnswer: 0, 398974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.343 - -0.043. Put 0.4, -1, b in descending order.\nAnswer: 0.4, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1395*t + 1398*t - 4*t**2 + 4*t**2 - 132*t**3 in the form x*t**3 + s*t**2 + l + y*t and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) 12 (c) 81 (d) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by (52\/(-6))\/(-3*(-6)\/(-54)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2496 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 n when three letters picked without replacement from yubqnnh?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -558010200 divided by -47289?\nAnswer: 11800","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 715 and -18.\nAnswer: 697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-3))\/((-2)\/18*(-42)\/14).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31001 - 2?\nAnswer: 30333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2542*w + 2656*w + 2280 for w.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 45255 and 45255 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14027443 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 3*k + 5*k - 1924 + 1906 + 0*k + 5*k. Let x(y) = 3*y**2. Calculate l(x(c)).\nAnswer: 39*c**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3921677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 416416425 to the power of 1\/3, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 6. Let p = -162.32 + -3.68. Let g = p + 166.3. Which is the third smallest value? (a) d (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.4 (b) 3 (c) -51 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 35086.\nAnswer: -5\/35086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 0*g**3 + 2 - g + 4*g**3 - 5*g**3 - 4*g**2 + 5*g**2. Let w be a(0). Suppose 0*n + w*n = 3*f + 18, 5*n + 5*f = 20. Solve -20 = n*y - 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 247590?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 k when three letters picked without replacement from {k: 4, a: 3, j: 5, r: 3, u: 3}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1493157.0067 + -1493217. Let l = 60 + t. What is l rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (5 + -7)) + -4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7b7bcc5 + 5?\nAnswer: 7b7bcca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/17856 or 1?\nAnswer: -5\/17856","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*q + 24*q + 95 = -29*q - 3*z, 0 = -q - 2*z - 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -1350213.802 to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1058, -2\/9, -0.82 in ascending order.\nAnswer: -1058, -0.82, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Divide -4154960 by -207748.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 2*n**4 - n)*(0 + 2 - 3)*(5 - 2 - 1)*(-213 - 92 - 130).\nAnswer: 1740*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 2 = 5*c + s, 2*s - 2 = -4*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 43 (base 15) to base 16\nAnswer: 3f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -544518963 + 0.45?\nAnswer: -544518962.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((-2*sqrt(1053))**2 - (sqrt(13) + (-6*(sqrt(13) + 3 + sqrt(13)))**2)).\nAnswer: -433*sqrt(13) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1003463 is divided by 3506?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3221 (base 4) in base 9?\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -52632 + 2?\nAnswer: -52630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.0292 (b) 3 (c) 5 (d) 13\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y - 5. Let i be o(-7). What is the third derivative of -q**2 + 0*q**2 + 0*q**i + q**3 - q**2 wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -1 - l**2 - 14*l - 5*l + 11. Suppose -2*n - n - g = 26, 3*n = 4*g - 46. List the prime factors of i(n).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3284549 is divided by 82113.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 201\/((45\/(-70))\/((-266718)\/(-7))). What is d rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3400 is divided by 329?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 83.76475l?\nAnswer: 83764.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 smaller than 328?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 5*d**2 - 4*d + 2. Let r be k(-5). Suppose -54 = -u + 166. What is the highest common factor of u and r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204 is divided by 61.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-360 - 2*r + 50 + 64)*((-2 + 2 + 2)*(1 + 0 - 4) - 1 - 1 + 0).\nAnswer: 16*r + 1968","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 221884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 5 + 3*i - 20 - i**2 to s + j*i + k*i**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-328)\/(-8) + -39)*-7.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1001*j + 1878*j + 3139*j - 824*j in the form b*j + m and give b.\nAnswer: 5194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -74, -3\/7, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 825748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 204454\/45 + -4543. Which is the smallest value? (a) 0.2 (b) -4 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u + 18. Calculate i(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43563.51 kilometers to micrometers.\nAnswer: 43563510000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -h**7\/7 + h**4\/12 + 578*h**3\/3 + h**2 + 47*h. What is the derivative of r(i) wrt i?\nAnswer: -120*i**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 4*i + 4769, -5*z + i = -10528 - 13355. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145 - 77*z - 76 - 69 - 85*z**2 wrt z.\nAnswer: -170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 510 - 509.5. Let k be (-96)\/36*(-1)\/2. Sort u, -4, k in ascending order.\nAnswer: -4, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.16 and -430598.\nAnswer: -430598.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 3:02 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 94630 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 110*y**2 - 3*y + 11. Let x(n) = -n**3 - n**2 - n + 4. Give -q(s) + 3*x(s).\nAnswer: -s**3 - 113*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(2\/3)\/(a\/((a\/(a*a\/(a*a*a**0)))\/a))*a**0*(a**(-2\/5)*a)\/a*(a*a**1)**25\/(a**1)**(1\/37) assuming a is positive.\nAnswer: a**(27328\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -912279 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8271, 16550, 24833, 33120, 41411?\nAnswer: 49706","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4484878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831444 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 3 - 4 + 3 + 3 + (0 + 3 - 1)*(2 - 1 + 0))*(5*u**3 - 2*u**3 - u**3).\nAnswer: 20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-8))\/(1\/6). Suppose l*u + 352 = 2*r - u, 2*u - 724 = -4*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 22804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(3\/10))**27 assuming i is positive.\nAnswer: i**(81\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(195)\/sqrt(5))\/sqrt(3) + sqrt(13) + (4*sqrt(637) + sqrt(637))**2.\nAnswer: 2*sqrt(13) + 15925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q\/(q\/(q\/q**(-2\/7))))\/((q*q**(-2\/11))\/q))**45*(q**(-2\/5)*q**(-2\/9))\/(q**(2\/13)\/(q\/(((q\/(q\/q**2))\/q)\/q))) assuming q is positive.\nAnswer: q**(9065887\/45045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/39144 and -111\/616.\nAnswer: 430584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2970 divided by 135\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 2*w**5 + 66*w**4 + 45 + 62*w**3 + 72*w - w**5 - 20*w**5 - 226*w**2 + 9*w**5 = 0. What is w?\nAnswer: -2, -2\/7, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**3 + 4. Let a = 3 - 7. Let r = -25 + 71. Suppose 6*c = 20 + r. Let z(t) = 14*t**3 + 11. What is a*z(y) + c*u(y)?\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - b + 3. Suppose 0*i - 56 = -8*i + 200. What is the remainder when z(-7) is divided by i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 0 - 25 - 9*w + 6*w + 17*w - 11*w. Let r(o) = o - 12. Determine 2*b(s) - 5*r(s).\nAnswer: s + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-64 - -2) + (-25 - -52).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13514\/5 + -2713. Let j = w + 649\/45. Calculate the common denominator of -56\/95 and j.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2749*h**2 - 3*h**5 - 2773*h**2 - 20*h**3 + 17*h**3 - 1 + 1 - 2*h**5 + (5*h**4 - 2*h**4 - 4*h**4)*(-2*h + 0*h + 3*h).\nAnswer: -6*h**5 - 3*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.7253 + 0.06445.\nAnswer: -7.66085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**(-5\/7)*j)\/j*j)\/j)\/j**(-3))\/(j*j*j**(2\/11)\/j)**13 assuming j is positive.\nAnswer: j**(-1007\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 177024 and 264.\nAnswer: 1947264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(84)\/(sqrt(1200)*3 + sqrt(1200) - sqrt(1200)) + (((-2*sqrt(168) + sqrt(168))\/sqrt(6))\/(sqrt(16)\/sqrt(4)*-3))**2.\nAnswer: -sqrt(7)\/6 + 7\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -20*h**4 - 620*h - 22*h**4 + 55*h**4 + 9*h**2 - 14*h**4 - 25*h**3 - 600 - 215*h**2 = 0.\nAnswer: -10, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2406847048?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 7, 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 5:30 PM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + -7 + 8 + -9\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -80*v**3 + 2*v - 1. Let b be x(1). Let m = -161 - b. What is the remainder when m*(-2 - -4)\/((-8)\/4) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 6.9 (c) -1\/3 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 + 9*i**2 + 11*i - 11. Let a be 16 + ((-36)\/3)\/2. Give d(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29140 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14 - -44. Let i = a - 12. What is the remainder when 486\/14 + 2\/7 is divided by i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20000060 - 23?\nAnswer: -20000113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 317067.1 nanograms in tonnes?\nAnswer: 0.0000000003170671","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*v + 1749 = 2*j - 28*v, -3*v = -2*j + 1743. What is the remainder when j is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of i**4*n - 284*i**3 + 13*i**2*n + i**2 + 18*i*n - 169*i + 3*n - 24 wrt i?\nAnswer: 12*i**2*n - 1704*i + 26*n + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcngggggbgh. What is prob of sequence gccn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -0.1, -1\/13, 20, -80 in descending order.\nAnswer: 20, -1\/13, -0.1, -6, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -19477 * 0.23\nAnswer: -4479.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 - 0.2. Let p = 3 + f. Let n = 14 - 13. Which is the closest to p? (a) -0.4 (b) -0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*v + 2*b + 162 = 0, -3*v - 2*b + 94 = 0. Let i be ((v\/(-3))\/(-4))\/((-6)\/(-9)). Suppose i*j = -j + 180. Does 6 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(294) + 2*sqrt(294))\/(2*sqrt(2)*1))**2.\nAnswer: 3969\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 25 + 5 = 5*z, 2*l + 19 = z. Are z and 14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/11008 and 71\/14.\nAnswer: 77056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3.79832 or -345?\nAnswer: -345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 174 and 115739?\nAnswer: 694434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*r + r**3 + 2*r)*(-21 + 3 - 2).\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -20\/9 (b) 0.2 (c) 0.12 (d) -0.044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119622.\nAnswer: 2, 3, 19937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s + 1. Suppose -4*a + a - 3 = 0, 3*p - 4*a = 1. Let n be y(p). Let z = n - 1. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 345, 522, 701?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9715766?\nAnswer: 2, 59, 137, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 487.1081 micrograms to nanograms.\nAnswer: 487108.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + 9*x - 6. What is k(-9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from fnffnffnfff.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 527*0.17.\nAnswer: 89.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*b + 209, -2*b + 352 + 66 = 2*v. Does 16 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 28*l**2 + 40*l + 20. Let g(t) = -10*t**2 - 14*t - 7. Let q(c) = -20*g(c) - 7*n(c). Let p(d) = -662*d. What is q(p(y))?\nAnswer: 1752976*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4 + 3384*z**3 + 923046*z**2 - 17795088*z - 18714753 = 0.\nAnswer: -573, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -175.2 (c) -0.1936\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 144 + 144.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-276)\/(-10) + 6\/15. Let o = s - 27. What is the third smallest value in 0.2, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/23 (b) 0.5 (c) 5 (d) -3\/8 (e) -85 (f) -3\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -82, -101, -110, -103, -74, -17, 74?\n\"Answer: m**3 - m**2 - 23*m - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/156917133?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/44)\/(2\/256*-4)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 77793291?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/3))**(-25)*d**(-8)\/d**3*(d\/(d**(-8)\/d))\/(d\/d**(-2\/25))*(d*d*d\/(d\/d**(1\/2)))**(-1\/7) assuming d is positive.\nAnswer: d**(-20059\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (85*s + 0*s - 34*s)*(-82 - 102 - 119) to the form t + c*s and give c.\nAnswer: -15453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of -a**7\/840 + a**6\/360 - a**4\/24 - a**3\/6 + 7*a**2. Let i(g) be the first derivative of q(g). Give i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j + j - 2*j)*(2*j + 2*j - 2*j + 5 - 5 - j + (4 - 2 - 1)*(-2*j + j + 3*j) + 2*j - 4*j + 3*j).\nAnswer: -16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l + 9. Suppose 0 = -4*z - 5*d + 26, -12*z - 1 = -13*z - 4*d. What is the remainder when h(-8) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t**3 + t - t + t + 2*t**3 to the form i + c*t**2 + q*t + v*t**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 2 + 2*y - y)*(-524 + 277 - 1236) + 5 - 5 + y)*(2*y**4 + 2*y**4 - 3*y**4).\nAnswer: -1482*y**5 - 1483*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 49*a**2 + 8 - 7 in the form g + z*a + j*a**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -768*(-1 - (-35)\/15 - (-6 + 8)). Calculate the greatest common divisor of i and 240.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + 4)\/(0 + 1). Suppose -4*w + 10 = -2*d, -2*w = 5*d - w - 30. What are the prime factors of (d\/15)\/(x\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-3 + 2) - (18 + -2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11222201110100 - -12?\nAnswer: -11222201110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19471 + -19093. Put -4, -2, -1, -5, h in decreasing order.\nAnswer: h, -1, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 111885713.1s?\nAnswer: 184.99621875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -35 in 0, 7, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-b + 2*b + 0*b)*(1 + 2 - 4) + (15 - 56 + 21)*(-3 - 2*b + 3) + 5 - 5 + 3*b to the form y*b + d and give y.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - j + 18 = 0, k + 0*k - 2*j - 3 = 0. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 48 = 4*c - 56, -2*y - c + 2 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5499729 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11*i + 7*i - 12*i)*(-2 + 4 + 2) - 2*i + i - i)*(3 + 1 - 5 + (0 + 2 + 0)*(-2 + 2 + 2) + 8 - 4 + 10).\nAnswer: -1122*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 16*y**2 + y - 19. Determine r(16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189073446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 23*p + 17. Let q(s) be the second derivative of 4*s + 0 + 2\/3*s**3 + 3\/2*s**2. Calculate 6*n(v) - 34*q(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -41 - -69. Let g(n) = n**3 - 6*n**2 - 5*n + 37. Let x be g(6). What are the prime factors of x\/(y\/624) - -2?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*q**3 - 762*q - 10*q**3 - 11*q**3 + 2*q**3 as a*q + x + i*q**2 + t*q**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 195664479 divided by 65221493.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4480, 4476, 4472, 4468, 4464, 4460?\n\"Answer: -4*o + 4484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1064 - 13*m + 6*m + 7*m - 1677 - 2*m**2.\nAnswer: -2*m**2 - 2741","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3.3077+0.07\nAnswer: 3.3777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3764, 15297, 34518, 61427, 96024, 138309?\nAnswer: 188282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7, -9, -23, -55, -111, -197, -319?\n\"Answer: -w**3 + 5*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 160625882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(17) + 3 - (1 + sqrt(17)*-1))*3 + ((sqrt(51)*3 - sqrt(51))\/sqrt(3) - (sqrt(68) + -4))**2.\nAnswer: 22 + 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 237, -0.1, -4\/37755 in ascending order.\nAnswer: -0.1, -4\/37755, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 235970.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012097 rounded to the nearest one thousand?\nAnswer: -1012000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 669054437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001420130331 rounded to seven dps?\nAnswer: 0.0000142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**4 - 63920*w**3 + w**2 + 12*w + 63951*w**3 + 8 + w**4 in the form t*w**4 + x + o*w + p*w**3 + q*w**2 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxxxxxuxxuxxxx. Give prob of picking 1 u and 2 x.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 AM and 11:14 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -7. Let i = p + 39. What is the greatest common divisor of i and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 561 - 5026\/9. Find the common denominator of 3\/((-27)\/5)*12 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 17249 - 17233 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156260122?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -54.4295307 rounded to 2 dps?\nAnswer: -54.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45584 divided by -1232.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 + 116. Let g = a - 8. Suppose -2*z = 2*o - g, -2*o - 3*z + 9 = -41. Calculate the remainder when o is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 23, -2 in increasing order.\nAnswer: -2, -1, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 + 48. What is the tens digit of 462\/8 - 5\/f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 6*h + 16. Let z be (-4)\/2 - h\/4. Let n(a) = a**3 + 5*a**2 - 6*a + 3. Let q be n(z). Solve -g = -q*t + 3 + 1, 5*g = -2*t + 31 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 2*m - 4. Suppose 24 = 2*t - a, -m*t + a - 2*a = -36. Suppose 2*s - t - 2 = 0. Solve -1 = o - s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-51)\/6*(3 - 13) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 238 = f, -4*f + 4*b - 547 = -1499. Is f a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5000 by 625.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 2*y**2 - 4*y - 3. Is 5 a factor of x(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*k + 158*k - 46 = -6 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - (-15 - -18).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 27402\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.1 + -13. Let m = a + 2. Let l = 0.6 + -4.6. What is the third biggest value in l, 2\/3, m?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -2 - -7) + -2. Suppose 0 = -3*x - 2*w + 229, 3*x - h*w - 178 = x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/2673 and -29\/132?\nAnswer: 10692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ene when three letters picked without replacement from pennpeneeg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 0*w**3 + 1\/6*w**4 + 9*w + 0*w**2 + 0. Let y(q) = 52*q**2. Give r(y(a)).\nAnswer: 5408*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 62869041 to the nearest integer?\nAnswer: 7929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 2*g - 26, -f + 2*g + 54 = 2*f. Suppose 4 = -y + 1. Let s(u) = -4*u - 1. What is the remainder when f is divided by s(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*v = -10*v + 330 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - r + 12 = 0, r = 3*h - 4*h. Is 13\/5 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 28 = j. Suppose 2*y + t - 13 = 0, 5*t = -1 - j. Suppose 4*r - 2*z = -0*z + y, 3*r + 4*z = 17. Calculate the least common multiple of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24279419 is divided by 19300.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.83 - -48.17. Let d = 51.7 - l. Let t = -47 - d. What is t rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 2*k**2 + 4*k - 4. Let x be d(3). Let r(q) = -11*q - 1. Determine r(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36.8 + 27. Let c = -10 - t. Which is bigger: c or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13762 - 3902. What are the prime factors of w?\nAnswer: 2, 5, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 12 - 54122?\nAnswer: -54110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, m: 3}. Give prob of picking 2 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 15143, 15096, 14987, 14786, 14463?\n\"Answer: -5*m**3 - m**2 - 9*m + 15158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/36*1924\/(-1131)*2 and -14\/261.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21929, 21932, 21935, 21938, 21941, 21944?\n\"Answer: 3*q + 21926","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 180094*r**2 - 5*r + 1. Let n(c) = 6*c + 35. Let f be n(-6). Let w be k(f). What is w rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18821880 and 420.\nAnswer: 18821880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 935761 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2508308 and 5995.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -42476 divided by 3034.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + t + 5 = -0*t, 31 = -3*b + 5*t. Let i be (0\/(-2))\/(b - -3). Let u = 1 + i. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1863842001 divided by 3.\nAnswer: 621280667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115148117.\nAnswer: 7, 59, 278809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q - 140 = -21*q. Let j be (q\/10 - 2)*(-2)\/(-2). What is the closest to 2\/5 in 2\/15, 2, j?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 3:35 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 27 - 18165\/672 - 577\/(-32)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -12*w**2 + 3*w**2 + 8*w**2. Let l(f) = f + 2. Let o(q) = -1. Let b(d) = -l(d) - 2*o(d). What is x(b(u))?\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*j + h, 3*j = h + 11 - 1. Let c be (2\/j)\/((-10)\/(-45)). Solve 4*m - 7 = -3*b, 5*b = -4*m - 2 + c for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -3*c**8\/56 - c**4\/4 + c - 1. Let s(q) be the first derivative of p(q). Find the third derivative of s(k) wrt k.\nAnswer: -360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8881 divide 1320551414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 37 (b) -1\/4 (c) -1.5 (d) 1\/5 (e) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.042 + -0.087. Let k = -0.145 - y. Let r = -13\/57 + -21\/19. Sort k, r, 2\/13, 0.4.\nAnswer: r, k, 2\/13, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((((sqrt(8) - sqrt(128) - sqrt(8))*-1 - sqrt(8))\/sqrt(4))**2 + 2*(sqrt(2) + sqrt(8)\/(2*sqrt(4))) + -3).\nAnswer: 15*sqrt(2) + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(135)\/sqrt(3) - (sqrt(5445)*1 + sqrt(45)))\/(1*(sqrt(630)\/(sqrt(10)*1))\/sqrt(7)).\nAnswer: -13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 + m**2 + 6*m - 1. Let k be z(4). Let d = -20 - k. Find the second derivative of a**2 - 10*a**2 + d*a + a + 2*a wrt a.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4386261 to the nearest integer?\nAnswer: 2094","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 800*f**3 + 782*f**3 - 2 - 18776*f + 18776*f.\nAnswer: -18*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t + 18. Suppose -11*l + 580 - 129 = 0. Let z = l + t. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**3\/3 + 33*k**2\/2 + 36*k - 19. Let b be x(34). Let 12\/5*w - 4\/5*w**b + 0 = 0. Calculate w.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038409.\nAnswer: 1038409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1140.8, 2, 0.3, 3 in descending order.\nAnswer: 1140.8, 3, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 923319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-7200)*-48*(-2)\/(-3)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4 + 5209*b**3 - 716952*b**2 + 23988496*b + 24710656 = 0. Calculate b.\nAnswer: -5344, -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3806891941?\nAnswer: 577, 733, 9001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 46, 3, 1, 2, 0.2, 4?\nAnswer: 46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + 4 + -1 + -35 + (-31 - -70).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -13. What is the second derivative of -16*r**2 + 11*r**c + 19*r - 8*r**2 wrt r?\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 8.681542 millimeters?\nAnswer: 0.008681542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -71, -8, -922?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5357 - 53 = 0. Solve s*k + 12 = 1084*k for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/2400 and 25\/8.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + t - 1. Let l(w) = -w**3 + 7*w**2 - 11*w + 99. Let s(d) = -l(d) + m(d). Let i(v) be the first derivative of s(v). Factor i(h).\nAnswer: 3*(h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*j - 172 + 172)*(-2*j - 4 + 4)*(0*j + 0*j - 4*j).\nAnswer: 376*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 1443772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 9016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 33 = -i, 3*i + 186 = 5*l + 5*i. Let j be -10*(6\/l)\/(1\/(-3)). Factor 0 + 1\/4*a**j - 1\/2*a**3 + 1\/4*a + 0*a**2 + 0*a**4.\nAnswer: a*(a - 1)**2*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -42 + 31. Let v(c) = -5*c - 25. Does 10 divide v(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.02 (b) -0.233 (c) 1 (d) -0.5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16553384 divided by 106\nAnswer: 156164","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*x + 1\/5*x**2.\nAnswer: x**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 12*z - 3. Solve -6*b - 5 = 3*j - z*b, -2*b = j + 1 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a\/(a*a**(5\/2)))*a**(-9)*(a**(-3))**7)**(-35) assuming a is positive.\nAnswer: a**(1855\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x\/(x\/x**(3\/8)))*x*x**(-3\/4))**47 assuming x is positive.\nAnswer: x**(705\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 41, -3, -2367542.\nAnswer: -2367542, -3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1425 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -173, -343, -501, -641, -757, -843, -893?\n\"Answer: q**3 - 177*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - d0?\nAnswer: -d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -264.8032 + 0.6732. Round g to 0 dps.\nAnswer: -264","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 634 - 736 = w - 4*h, 6*h - 144 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 6*j**2 - 1. Let u be t(-6). Let g(a) = 5*a**2 + 2*a. Let x be g(u). Let w = -125 - -123. Sort -1, x, 18, w in ascending order.\nAnswer: w, -1, x, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k + 5*k - k)*(6*k + 76*k**3 - 70*k**3 + 2 - 3).\nAnswer: -6*k**4 - 6*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(432) + 0 + 3 - (3 + sqrt(243) + -1))*-5 + -5)**2.\nAnswer: 270*sqrt(3) + 756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aj when two letters picked without replacement from {h: 1, a: 2, j: 3, z: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 x, and 1 v when three letters picked without replacement from {v: 2, w: 7, z: 1, x: 2, s: 4}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 546 - 518. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 4*k = 2, 3*y - 11 = -k - 18 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**6\/3 - 12*r**5\/5 + 9*r**4\/2 + 61. Factor l(t).\nAnswer: 2*t**3*(t - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236603 to the power of 1\/2, to the nearest integer?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/7 of a week?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 505367?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - -3)\/((-6)\/(-176)). Suppose j - a = -3*j. Suppose 0 = 5*y - y - j. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from cwoowrtottwocwwwwo?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2162*f = -2157*f - 65 for f.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -2108 and -1635 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(-1\/3))*g)\/g*g**(5\/2))\/(g*g**6*g*g**(-2)) assuming g is positive.\nAnswer: g**(-19\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-6)\/5)\/(1\/5). Let k(x) = -x**2 - 6*x + 4. Let w(u) = -u**2 - 6*u + 5. Let v(r) = -4*k(r) + 3*w(r). Let q be v(f). Which is smaller: q or 2\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 11*z - 45. Calculate the remainder when 49 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**2 - 4*u**2 + 6*u + 42 - 38)*(0*u + u**3 + 0*u).\nAnswer: -3*u**5 + 6*u**4 + 4*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -a + 2*b, 3*b = -2*a - 10 + 16 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 1:49 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1430\/572*2\/25*-3.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x - 5*j + 15, -27 = -5*x - j. Is 3\/x*-6 + 34 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7514509 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 53\/4 of a litre?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 4*w**2 - 5*w + 6. Let v be m(5). Let r = 8 - v. Let o be r\/8 + 3\/20. Is o bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u + 26 = 9*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 25*o**2 + 25*o + 24. Let k be h(-24). Let u be (-4)\/8 - 10\/(-4). Let 0*b**3 - 1\/3*b**4 + k*b + 1\/3*b**u + 0 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -610 + 778. Calculate the highest common factor of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/948706 and -1\/25694.\nAnswer: 420276758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j + 9. Let r be m(-7). Let x = r - -58. Calculate the highest common divisor of 12 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1002.354 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 52895991 to the power of 1\/2, to the nearest integer?\nAnswer: 7273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -288 - 150?\nAnswer: -438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/((3\/2)\/1). Let m(a) = -2*a**2 - 4 - a + 3*a**2 + 12 - 6*a. Let t be m(6). Solve -z*o = 2 + t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -18782723 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/18*(-7 + (1 - -4))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**3 - 228*i**2 - 231*i + 4. Let s be z(77). Let a be 0\/((-5)\/(15\/6)). Solve a = 4*n - 3*r + 1, -5*r - 29 = 2*n + s for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3325 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2900898 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40238 is divided by 40221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6935.\nAnswer: 5, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**3 - 11*z**2 + z - 6. Let q be n(11). Suppose 0 = 4*v - 2*v, q*o = 2*v + 20. Does 3 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -5*x**2 + 133834540*x = 0.\nAnswer: 0, 26766908","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2a (base 11) to base 15\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 777 = 791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/(-6)*(-12)\/(-10). What is f in -6*f**2 + 2*f - 16*f**3 + 4*f**2 - 22*f**4 - 8*f**5 - 2*f**v = 0?\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 4*n = 140, 8*y - 4*n - 2682 = -2510 for y.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11709 times -0.46\nAnswer: -5386.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(605) + -2)**2.\nAnswer: -22*sqrt(5) + 606","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.5467202 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/38413 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y + 1 + y + 10*y in the form p + d*y and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 0.8. Let v = 2442 - 14651\/6. Let r = -2 + -2. Which is the closest to o? (a) 3\/8 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**3 + 2*i**3 + 3*i**3 - 5 + 6*i. Let c(m) = -m**3 + m**2 - 6*m + 5. Let d(k) = -5*c(k) - 4*t(k). What is d(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3*1*(-13)\/39. Let f(s) = 30*s**3 + 16*s**2 + 2*s - 2. Let r(g) = g - 1. Let t(m) = d*f(m) - 2*r(m). Find the third derivative of t(x) wrt x.\nAnswer: 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/17))**(-38\/3)\/((k*k**41*k*k)\/k**(-4\/13)) assuming k is positive.\nAnswer: k**(-10286\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + 4 - 4 - 2) + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3 + 37333253*c**2 + 348442963557128*c + 348442926223876.\nAnswer: (c + 1)*(c + 18666626)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 28*c**2 + 106*c + 408. Calculate j(-28).\nAnswer: -2560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 8*h**2 + h + 17. Does 22 divide s(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 + 20*i - 49. Let f be d(17). Let z be 9\/2 - (-39)\/(-13). Find p such that 1\/2*p**f - z + p = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -856, -6963, -23578, -55957, -109356, -189031, -300238, -448233?\nAnswer: -638272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -229*x + 19928. Calculate u(90).\nAnswer: -682","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the third derivative of 15*n**2 + 0 + 1\/3*n**3 + 0*n + 0*n**4 + 1\/6*n**5. What is the derivative of l(g) wrt g?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*f - 11531 - 16139, -5*v = f + 27700. Does -5540 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(90)\/(1*sqrt(2)*-2).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/15, 2\/33, -0.1, -3, 0.26, 0.3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u - 33. Let n be p(-13). Is 3 + n\/((-70)\/37580) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2297741567?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 - -7.2.\nAnswer: -72.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10903 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36271 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 741 - 712. Suppose 0 = -h*x + 28368 + 22788. Does 12 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 555, 558, 543, 498, 411, 270, 63, -222?\n\"Answer: -2*a**3 + 3*a**2 + 8*a + 546","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -4. Suppose -14 = 4*y + 98. Let t = -28 - y. Which is the smallest value? (a) h (b) -0.5 (c) 1 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2490 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 74665344 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1288, -5134, -11544, -20518, -32056?\nAnswer: -46158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 905992176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) 0.3 (c) -13402803\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(220)\/sqrt(5) + -2.\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 4*r + 20, -3*a + 5*r = -35 + 3 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2473008104?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 15.8588.\nAnswer: -63.4352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -1\/20*z**6 + 4*z + 0 + 0*z**2 - 1\/24*z**4 - 1\/84*z**7 + 0*z**3 - 3\/40*z**5. Find b such that a(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + (-47 - 14 - -53) + (-1 - 3).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 3*z**2 + 18*z. Let j be w(-8). What is the greatest common factor of 11 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 6*b**2 - 243*b + 578. Calculate t(38).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 4*g + 32, 3*t - 20 = 3*g + 2*t. Let k(u) = 3*u**2 - 5*u - 17. Let v be k(g). Let h = 17 - 6. What is the greatest common divisor of h and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = m + 3*t, -3*m + 401*t + 24 = 404*t. Solve -2*v + m*j = 17, 5*v - 3*j - 9 = -38 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.134, -3, 2, -0.1, 4325 in decreasing order.\nAnswer: 4325, 2, -0.1, -0.134, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324093?\nAnswer: 3, 7, 11, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -104*x + 80. Let g be h(0). Solve 711*k - g = 727*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*((-7 - 0) + -1). Let j be (9\/2)\/((-3)\/f). Let q be (2\/j)\/((-7)\/(-28)). Which is the third biggest value? (a) q (b) 2\/3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 5*v**2 - 12*v - 7. Let g be t(-6). Let y be (1 - 1) + -3 + (6 - g). Let q = y - 104. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 23 = y. What is the remainder when y is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111001011 (base 3) to base 15.\nAnswer: 2c3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14757235 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 368, 1\/4, 0.0426 in increasing order.\nAnswer: 0.0426, 1\/5, 1\/4, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10791, -15011, -19247, -23499?\n\"Answer: -8*u**2 - 4196*u - 6587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 155656355.767 and -0.49?\nAnswer: 155656356.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -119012385641 less than -38?\nAnswer: 119012385603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twelve fifths of a millimeter?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3270 is divided by 1398.\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d - 38*d**2 + 71*d**2 - 32*d**2 + 7*d**3 in the form i*d + s*d**3 + n*d**2 + v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 79198311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 763*g + 520 wrt g?\nAnswer: 763","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 918\/51*(-1*1)\/((-14)\/(-14))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 8:06 PM?\nAnswer: 8:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 1.65, -0.1, -12, -180?\nAnswer: -180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -13*a**5\/6 - 178*a**4 - 15994*a**3\/3 - 68208*a**2 - 309888*a - 46080 = 0.\nAnswer: -24, -10, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 3*y**2 + 3*y - 1. Let j be -5 + 4 + -2 + 10. Suppose -d - j = -9. What is the units digit of v(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 84018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-58) + 36\/31320*985?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5 + 12828*k**4 - 51394*k**3 - 320844*k**2 + 359408*k = 0. Calculate k.\nAnswer: -6418, -4, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25098336 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 20617, 41185, 61751, 82315, 102877, 123437, 143995?\n\"Answer: -g**2 + 20571*g + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4431283, -8862566, -13293849, -17725132?\nAnswer: -22156415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 22*a - 100. Let g be r(8). Let u be (-6)\/27 - 526\/(-18). Suppose 2*k - k = 5*i - 28, u = 4*i - 3*k. Solve g - 2 = -i*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 10 - (9*(-16)\/(-72) - -3 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 158203.\nAnswer: 281, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 - 4440*o**2 + 58269*o + 62706.\nAnswer: -3*(o - 14)*(o + 1)*(o + 1493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/6852 and -23\/84.\nAnswer: 47964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 48 = 27. Suppose -2*d + 30 = 2*s - 5*d, -n*s + 75 = -4*d. Let u be 31 - (-8)\/(40\/s). Round u to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 3, b: 12, o: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 - 59. Suppose 0 = -4*r - 17 - 7. Let u = z + r. Is u a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 643358.\nAnswer: -193007.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -26*v + 557. Determine j(24).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -1. Suppose 6 = 2*v - p. Let i = 46 + -39. Calculate the remainder when i is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-400)\/12*54\/(-15). Suppose -2*x + c = x. Is 13 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23)\/55 - (-410)\/(-2255).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -4, -514\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.3 - -14. Let g = 279253 + -279237. Put z, g, 3, 0.2 in ascending order.\nAnswer: 0.2, z, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4838466, 4838471, 4838476, 4838481?\nAnswer: 4838486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (16 - (19 + 10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(15)\/sqrt(3))**2.\nAnswer: -6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 114\/15 + (-4)\/(-10). Let q(d) = d**3 - 14*d**2 - 15*d + 20. Let k be q(15). What is the highest common factor of f and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 2*sqrt(175) + sqrt(175) + 3 + (sqrt(175)*-2 + 0)*2.\nAnswer: -5*sqrt(7) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(7200)*-2 + -5 + -4)*-2.\nAnswer: -480*sqrt(2) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 67798894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 15 = -3*m, -20 = -53*j + 48*j + 4*m. Put j, -3, -11, 0.2 in increasing order.\nAnswer: -11, -3, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5741 is divided by 8 + -3 + -15 - -25?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -51 and 1.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -9*l**2 - 11643*l + 876330 = 0?\nAnswer: -1365, 214\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1635 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 44107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90 divided by 6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46176736?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1155 + (-8)\/(-6)*60\/16. Let s = g - -2797. What are the prime factors of s?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 325? (a) 4 (b) -29\/6 (c) -325\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ykat when four letters picked without replacement from takye.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31909589 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/65925 and 61\/15822.\nAnswer: 395550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -118*d**2*v**2 + 3*d**2*v - 20*d**2 - d*v - 3*v**2 + 5*v - 114 wrt d?\nAnswer: -236*d*v**2 + 6*d*v - 40*d - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 4448418\nAnswer: 889683.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 219*g**3 + 31*g**2 - 68*g + 790. Let y be d(-43). Round y to the nearest one million.\nAnswer: -17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05784 + 380.15784. Let f = 380 - h. Which is the nearest to f? (a) 1 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1457484 less than 234?\nAnswer: -1457250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754 divided by -1?\nAnswer: -1754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -31*m + 9. Suppose -3*p + 15 = -0*p. Let q be c(p). Does 5 divide q\/(-10) - (-8)\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, j: 1, o: 1, d: 1, n: 1}. What is prob of sequence dj?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*c - 12 = 0. Let b(g) = -5*g + 0*g**2 + g**2 - 2*g**2 + 4*g + c. Calculate b(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of b**4\/6 - b**3\/3 - 5*b**2\/2 + 2*b. Let h(p) be the first derivative of -p - 4. What is -a(g) + 6*h(g)?\nAnswer: -2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/512621 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = s - 6. Solve -3*u - s*b = -18, 6 = 5*b - 3*b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 + 10 - 45)*(j + j - 3*j) + 4 - 4*j - 4 + (4*j + 2*j - 4*j)*(3 - 5 + 3) to the form o*j + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -6169 (b) -2 (c) -3 (d) 4 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253596?\nAnswer: 2, 3, 7, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 59*m**2 + 1. Let h be r(1). Let s(b) = b**3 + 9*b**2 + 18*b + 10. Let u be s(-5). Calculate the greatest common factor of h and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2652 is divided by 53.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -8. Is j bigger than -2.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h + 4*j = 16*h + 20, 0 = h + 2*j - 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8091 divided by -31?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/92*2\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 22*y**2 + 46*y - 25. Let g be -7 - (-4 - (-4)\/(-4)). Let q be 2 - g - (2 + 16 - -5). Is z(q) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**3\/9 + 5783437*s**2\/9 + 11566877*s\/9 + 1927813\/3 = 0.\nAnswer: -1, 5783439","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1. Let j = -2 + u. Calculate the remainder when 23 is divided by j*3\/(-6)*8.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 95.25425mm?\nAnswer: 95254250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mamadmfaamamffkd. Give prob of picking 1 m and 1 f.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**3\/d**(-1\/2)*d**(-7)*d\/((d\/d**(3\/7))\/d*d) assuming d is positive.\nAnswer: d**(-43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does -2\/7 = 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -106 + 102 - (-5 - (-3 - -2) - (14 - 82))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 2*n - 2 = 0, 0 = -2*q + 3*n - 8 - 1. Let x be ((-110782)\/5070)\/(-7) - q. Let i = x + 2\/169. Sort 2\/5, i, 5 in decreasing order.\nAnswer: 5, 2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168*c = -3099 - 597 for c.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3744059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - 136. Let c = -92 - z. Suppose -44 = -2*q + 2*u, 0 = -2*q + 5*u + c - 6. What is the remainder when q is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(2)*-2)\/sqrt(12)*-6.\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7780 - -233239\/30. Calculate the common denominator of 6\/55 and p.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-17)\/((t*t**(4\/5)*t)\/t) assuming t is positive.\nAnswer: t**(-94\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44302123?\nAnswer: 613, 72271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 419 from -0.2.\nAnswer: -419.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 2 = 2. Suppose 4*z + 4*c = -c - 2845, -3*z - 2*c - 2139 = v. Let q = z + 7161\/10. Find the common denominator of 21\/74 and q.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.82 + -0.72. Let k = 4.8 - s. Which is the nearest to 1? (a) 0.4 (b) k (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 91*p - 3633. Let u be j(121). Let d = -31 + 19. Which is smaller: d or u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/459364 and -73\/52?\nAnswer: 5971732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 220\/13 + -3399\/260. Calculate the common denominator of w and 1\/3 + 233\/48.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes after 2:51 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 422 - 426. Let r(s) = -4*s - 2. Give r(q).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 divided by -56\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100100010100101110011 (base 2) to base 3.\nAnswer: 20012000110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 2 - 1\/1. Let z be (-12 - (-1 - -3)) + w. Does 3 divide (-18)\/z*20\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*y + 36 = 24*y - 4*m, 0 = -y + 4*m + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p. Let c(b) be the third derivative of -5*b**4\/8 + b**2. Determine n(c(o)).\nAnswer: -30*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -22*u - 7. Let v(b) = 25*b + 6. Determine 5*h(g) + 6*v(g).\nAnswer: 40*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9 - -8)\/((-3)\/5*(-55)\/(-66)). Solve -q*d + 17 - 11 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 147394419.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1702*m + 858*m + 843*m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -21130312203?\nAnswer: -21130312212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 410 + -233. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 35*i - 72 = 0. Suppose -3*a + 5114 = 2*u, -30*u + 7665 = -27*u + i*a. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + sqrt(98) + (sqrt(98)*1)**2 + -3.\nAnswer: 7*sqrt(2) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18153 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/495 and 53\/180.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*f + 15*f - 10*f.\nAnswer: -22*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uymy when four letters picked without replacement from ylummmuuulmmymmmmuym?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.12 and -10111.9.\nAnswer: -10111.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 2. Suppose 0 = -q + d + 5. Is 3 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-570)\/70 + 9)*(207\/(-6))\/((-918)\/2856)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-10)*((-126)\/(-27) - 3). Solve -w*o + 4*z = -18, -3*o - 2 - 11 = 2*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86920 is divided by 2793?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - z + 5*z - 15, -3*j - 3*z + 30 = 0. Suppose 12 - 2 = j*d. Differentiate -2*f + 3*f - 5 - f - d*f wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -3. Suppose -20 = -3*u + 28. Suppose -u = -2*l - 2*l. Solve -3*h - q = -2*g + 3, 5*h = l*g - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 26 = 4*a. Let w(n) = -n**2 - 10*n - 7. Is 12 a factor of w(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -237870 by 6.\nAnswer: -39645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4210, 4209, 4208, 4207, 4206?\nAnswer: 4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/1360 and 6\/(-15) + 95823\/6120 + -9 - 6?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80726?\nAnswer: 2, 181, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28296 is divided by 7264.\nAnswer: 6504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -3355*y**2. Let w(z) = -2*z. Calculate w(d(l)).\nAnswer: 6710*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114 is divided by 50.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34997*g + 34976*g + 336 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**3 - 8*w**2 - 9*w + 5. Suppose -22 = -5*y + 23. Calculate the lowest common multiple of 5 and m(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -3629*u + 3624*u - 3*x, 0 = -105*u + 5*x - 5 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -100 - -97. What is the second smallest value in c, 0, 2\/175?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + -8)\/(6\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*g**5 + 0 + 1\/2*g - 520*g**4 + 1509\/4*g**3 - 107\/4*g**2 = 0. What is g?\nAnswer: 0, 1\/26, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 154 - 158. Which is the nearest to -3\/5? (a) 2 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 519 divided by -40?\nAnswer: -519\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4473406283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*u + 11 = 0, -5*u = -21 - 4. Let l(c) be the first derivative of 1\/15*c**6 + 0*c + 2\/25*c**5 + 0*c**4 - 1 + 0*c**3 + 0*c**p. Factor l(n).\nAnswer: 2*n**4*(n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35796 and 30894.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63243156.\nAnswer: 2, 3, 41, 191, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/(-4) + (-3)\/(-6). Let r(s) = s**2 - s + 4. Let i(y) = -y**2 + y - 3. Let h(n) = 3*i(n) + 2*r(n). Calculate h(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1602748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -400 + -1143?\nAnswer: -2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 51*k - 123*k - 95*k + 155*k + 3.\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -3197927 at most as big as -3197927?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**13*m\/(m\/m**(1\/6)))\/((m\/m**1)\/m*m\/m**(9\/7)) assuming m is positive.\nAnswer: m**(607\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 46, -5, -4.\nAnswer: -5, -4, 0, 5, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, t: 3}. What is prob of picking 1 r and 1 t?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 2. Suppose 21 = 3*l - 6*l + k, -5*l - 3*k = 21. Does 10 divide x(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/741 and -71\/570?\nAnswer: 7410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -4, -14.\nAnswer: -14, -13, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is b5a7 (base 13) in base 10?\nAnswer: 25149","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l = 14*l + 4*g - 37, -4*g = 5*l - 27. Let h(f) = 111*f**3 - 2*f**2 + f + 2. Give h(l).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.021 - 32. Let z = r + 0.759. Round z to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = 0, 0 = -3*f - 0*q - q + 113. Let r = 115\/3 - f. Let d = 10658 - 10663. Which is the nearest to d? (a) -1 (b) 0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 64 + (-1 - -10) + 1 + 25.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 17236734?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 160.15 * 10.96\nAnswer: 1755.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48, 94, 142, 192, 244?\n\"Answer: d**2 + 43*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 166666 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-seven fifths of a century?\nAnswer: 8880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 5210?\nAnswer: -5205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -2022030200?\nAnswer: 2022030132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.3 (b) 2\/9 (c) -2349 (d) 1.926\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -22\/985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15737*n - 1322*n + 9006*n.\nAnswer: 23421*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/9 + 656*j\/9 + 73.\nAnswer: -(j - 657)*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1891)\/(-976)*-16 - (-343)\/11.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - 67. Let a = 1.5 - 2. What is the third biggest value in -0.2, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23697679*f**3 - 11848851*f**3 - 11848847*f**3.\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2039*p + 42518. What is x(-21)?\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 455 - 427. What is the highest common factor of r and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lv when two letters picked without replacement from svl?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1126*n + 674*n + 8820 = -697*n for n.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of 0*n + 10*n**2 + 0 + 32\/3*n**3 + 1\/15*n**5 - 4\/3*n**4. Solve i(r) = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430\/15*((-19)\/(-2) - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (sqrt(60)\/(sqrt(12) - 2*sqrt(12)) + 3 + sqrt(35)\/sqrt(7) - (-1*(sqrt(5) + 1) + sqrt(10)\/sqrt(2) + 4))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41*g**2 + 0*g**5 + 5*g**5 + 37*g - 37*g wrt g?\nAnswer: 300*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**3 + 9*l**3 + 18*l**3)*(2*l**2 - 2*l**2 + 2*l**2).\nAnswer: 48*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14059 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20 + (-10 - 6) - 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -m + 1. Let l(u) = 3*u**2 - 4*u. Let k(j) = -2*j**2 + 3*j. Let g(c) = m*l(c) + 4*k(c). What is g(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 11*x + 15. Let a be i(-10). Solve 0 = a*w - 2*m + 3, -m = -2*w + w - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*1 + (3 - 2). Let s be (-108)\/15 - q - -3. Do s and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**5\/20 + 13*s**4\/12 - 7*s**3\/3 - 33*s. Calculate b(12).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61.70851 - -3.2.\nAnswer: -58.50851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*v - 5*v + 1 - 8*v)*(0 + 0 - 2) to the form l*v + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 113246796?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 56248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -2*q + 7*q + 19, 5*u = 5. Let s = -5 - q. Let v be ((-18)\/30)\/(s\/10). Solve -h + 5*k - 1 = k, 3*k = v*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -434 (base 5) to base 4.\nAnswer: -1313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(286)*-2)\/sqrt(11) - sqrt(26)*-1*5)\/(-5*1*sqrt(2) + (sqrt(72) - (-1*sqrt(72) + sqrt(72) + sqrt(72))) + sqrt(2)).\nAnswer: -3*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5546 (b) 3362 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104 (base 6) to base 11.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -8*l**2 - 67*l - 24. Let b(u) = 7*u**2 + 71*u + 24. Determine 6*b(v) + 5*k(v).\nAnswer: 2*v**2 + 91*v + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.7668 times -4?\nAnswer: -7.0672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -4*o**4 - 6*o**3 - 6*o**2 - 126*o - 1497. Let y(u) = 5*u**4 + 7*u**3 + 7*u**2 + 126*u + 1499. Let j(h) = 7*q(h) + 6*y(h). Differentiate j(c) wrt c.\nAnswer: 8*c**3 - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/22)\/u)\/u*u**(6\/11) assuming u is positive.\nAnswer: u**(-31\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 185020657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/5 and -95\/28.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/((2*sqrt(44))\/sqrt(4)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from biiiabbibibiaii.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1727 + 2.2.\nAnswer: 1729.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 217099*r**2 - 7*r - 3909553 wrt r?\nAnswer: 434198*r - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b**3 - 3181050*b**2 - 2*b - 4823699?\nAnswer: 6*b**2 - 6362100*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*d**4 + 6225*d**2 - 237*d + 812877899 wrt d.\nAnswer: 76*d**3 + 12450*d - 237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 249?\nAnswer: 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 14522?\nAnswer: 14522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8892?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 12*f**3 + 260*f**2 - 161*f - 3. Let v(i) = 17*i**3 + 261*i**2 - 159*i - 4. Let s(h) = 2*v(h) - 3*x(h). What is the second derivative of s(c) wrt c?\nAnswer: -12*c - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 238\/31, 0.5, 1\/12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 103084 is divided by 114.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 832 divide 13584064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/10 of a gram?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -13. Let u(d) = -d**3 - 9*d**2 + 10*d + 4. Calculate the remainder when k is divided by u(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/5 - 1066*z**2\/5 + 6334*z\/5 - 1054.\nAnswer: 2*(z - 527)*(z - 5)*(z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*y**5\/2 - 57*y**4\/2 + 309*y**3\/2 - 219*y**2\/2 - 93*y + 84 = 0. Calculate y.\nAnswer: -7, -4\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*t*t**(2\/67))*t*t**(3\/10)*t\/(t*t\/t**7)*t\/((t\/(t\/t**0))\/t) assuming t is positive.\nAnswer: t**(5541\/670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + 16*(-164)\/64?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 8*v + 4. Suppose -2*l - 39 = 5*p, 0*p + 34 = -2*l - 4*p. Let z be b(l). What is the units digit of 2*(2 + z\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95134317.\nAnswer: 3, 31711439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 7*x**2 - 9*x + 10. Let f(h) = 15*h**2 - 18*h + 21. Let w(p) = 4*f(p) - 9*l(p). Factor w(y).\nAnswer: -3*(y - 2)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81956*d - 82091*d - 9585 = 0 for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -170, -445, -816, -1283, -1846, -2505?\n\"Answer: -48*q**2 - 131*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3461*m**3 - 142*m + 142*m - 3457*m**3.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4403244*l**3*o**2 + 2*l**3*o + 2*l**3 - 721605*l**2*o wrt o.\nAnswer: 8806488*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5*(-3)\/(-5 - -2). Let z(k) = y - 4*k**2 - k + 3*k**2 + 0*k. Let j be z(0). Is 6 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - v + 18. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 254.03 + -254. Let u = 50 + -44. Suppose 4*f = 5*i - 0 - 3, 4*f = 2*i - u. Is f less than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 20 - 13 - 28496*k**3.\nAnswer: -28496*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -10, w + 11*j = 23 - 12 + 36 + 59 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2076779*h - 9501683?\nAnswer: 2076779","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 588 a factor of 55220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 5, -15.77, 0 in descending order.\nAnswer: 5, 2\/9, 0, -15.77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a**2 - 3*a - 4. Let o(z) = -9*z**2 - 6*z - 9. Suppose 5*s - 31 = 4*w, 0 = -2*s + 3*w + 15 + 3. Calculate s*o(k) - 7*v(k).\nAnswer: k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.65 + -0.1. Let v = y + -0.08. Let l = v + -0.17. Which is the closest to 1\/4? (a) l (b) -0.1 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 - 4*d + 18. Let p be k(-6). Suppose q - 33 = -a, -4*a - 129 = -p*q + q. What is the remainder when q is divided by 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*m = -m + 736, 0 = -3*t + 2*m + 2203. Calculate the greatest common factor of 60 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) -0.1 (c) -2.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*y + 56*y. Suppose y = -10*a + 777 + 223. Suppose -x = -10 - 7. Calculate the remainder when a is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.8 + 4.8. What is the closest to -1 in a, -0.3, -2\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3415 - 536442?\nAnswer: -533024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 2*k + 10. Let b be r(3). Suppose -2*l + b = 19. Solve -l*a - v = -5*v + 7, -5*v + 3 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 2656\/590939?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddmdddm. What is prob of sequence mdd?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142 + 138. Let l = 481\/6 - 80. Sort l, i, -0.2, 0.3 in decreasing order.\nAnswer: 0.3, l, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 609763501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 387 + 72 = 0. Let y be (-13)\/(4\/(-14) - 221\/(-455)). Let n = y + a. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1839 (b) 0.3 (c) 1 (d) -3\/7 (e) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8130 = -4*w, 0 = 55*n - 60*n - 3*w + 20260. Is 67 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3211520638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p - 9. Let l be m(0). Let x(n) = 3*n. Let s(c) = 13*c. Let d(t) = l*x(t) + 2*s(t). Let f(v) = -7*v**2 - v**2 - v**2. What is f(d(r))?\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2264 and 5.677.\nAnswer: -12852.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 18. Which is bigger: 2\/13 or x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((r\/(r\/(r*r\/r**(-2\/7))))\/r*r)\/r)\/r)\/r**(-20))\/((r\/(r\/(((r*(r**(7\/4)*r)\/r*r*r)\/r)\/r)))\/(r**(5\/2)\/r)))**(19\/5) assuming r is positive.\nAnswer: r**(10127\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -12*a**2 - 5 + 5 - 16*a - a**3 - 9. Is i(-11) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 134*h - 120*h - 15988 = 0. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -3*j - 3*m + 1, -11 = j + 5*m for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 3:42 AM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2679595*h**2*i + 31*h**2 + 40*h - 2*i + 26833 with respect to i.\nAnswer: 2679595*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12385175 and 11394361.\nAnswer: 284859025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*o + 4*o - 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1152 - 1135. Solve -17 = -a - u for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -65072 or -65073?\nAnswer: -65073","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 12:16 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 + 416*c - 416*c + 164*c**2.\nAnswer: 164*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 27.\nAnswer: -14\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 119071383*f**4 - f**3 + 1253962593*f**2?\nAnswer: 2857713192*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 727 is divided by 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - (2 + 0))\/(2\/(-1166)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 25*q**4\/4 - 721*q**3\/3 + 9*q**2. What is the first derivative of t(g) wrt g?\nAnswer: 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 k when two letters picked without replacement from {k: 2, v: 1, b: 1, w: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3414700 rounded to the nearest 10000?\nAnswer: 3410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 177197852, 177197858, 177197862, 177197864, 177197864, 177197862?\nAnswer: 177197858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -87*r**3 - 6*r**2 + r**4 - 94*r**3 - 2*r + 180*r**3 to the form d*r + i + v*r**4 + h*r**3 + w*r**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, -3, -0.92?\nAnswer: -0.92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -44.5. Let d = k - -9. Let f(h) = -h**3 + 5*h**2 + 8*h - 7. Let l be f(6). Which is the nearest to -1? (a) 1\/5 (b) d (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 166, 167, 168, 169, 170, 171?\nAnswer: 172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1309.257 litres in millilitres?\nAnswer: 1309257","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**2\/f)\/f)**(-49))**(1\/2)*(f**(2\/17)*((f*f**(-4))\/f)\/f*f)\/(f**(2\/25)*f**(-7)) assuming f is positive.\nAnswer: f**(1291\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*h - 712, 4*t - 3*h - 631 - 319 = 0. Let g = t - 194. Are 40 and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -y - d, -d + 8 = -3*y. Let v be y + 22\/(-10) + 2\/10. Does 45 divide 178\/4 + v\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360 and 252.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001231 rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6131\/(-70) - (-6 + 5). Let k be 101\/(-1313) + (-11274)\/130. Let v = k - o. What is the common denominator of v and -53\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 138637075.67000138 - 138637077. Let k = -67 + 65.67. Let v = w - k. What is v rounded to 7 decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14\/33 + -1\/11. Which is the closest to 0.1? (a) f (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 + 5*y + 5. Let g be a(-4). Suppose -24*k + 26*k - 8 = 0. Suppose 4 = -k*v - 4*m, 5*v + m - 5 - 2 = 0. What is the closest to 0 in v, g, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 223*f**2 - 87*f + 346. What are the prime factors of r(9)?\nAnswer: 2, 7, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 7:59 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 5*c - 42 + 28 = 0, -4*f + c + 28 = 0. What is the remainder when 29 is divided by f + -6 - (2 - 11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 22. Suppose -2*w = 5*j - w - 77, l = 4*j + 3*w - 66. What is the remainder when 43 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**3 + 8*i**2 - 24*i - 28. Let l(q) = -9*q**3 - 7*q**2 + 24*q + 27. Let j(x) = -4*l(x) - 5*n(x). Let j(h) = 0. What is h?\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/42 (b) -4\/5 (c) -4\/467 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (-39)\/15)\/(20\/(-50)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 84*p - 19*p + 325 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -97*l**3\/3 + l**2\/2 + 4*l - 51. What is the second derivative of h(r) wrt r?\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 4*m)*(-3*m**2 + 6*m**2 - 4*m**2 + 3*m**2 - 15*m**2 + 0*m**2 + (m - m - m**2)*(1 - 4 + 1)).\nAnswer: 44*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3\/3 - 11869738*j**2\/3 - 47478976*j\/3 - 15826328.\nAnswer: 2*(j - 5934873)*(j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**3 - 17*h**2 - 62*h + 11. What is r(-5)?\nAnswer: -979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 559181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5*(-3 + (-4)\/(-1)). Suppose 0*l + 5 = -2*o + l, -o = r*l + 30. Let v = -1 - -3. Which is the second biggest value? (a) v (b) -2\/5 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53001079 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2254*i**2 - 20*i + 5. Let l(g) = -2255*g**2 + 20*g - 4. Let y(j) = 4*k(j) + 5*l(j). Let d be y(-20). Round d to the nearest ten thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -3, 3\/4, 4, 0.2, -0.06, -0.4073?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -48*w - 2. Let k(t) = 4182*t + 102. Let m(u) = -5*k(u) - 255*n(u). Let h(p) = -2*p**2. Give m(h(i)).\nAnswer: 17340*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26425 - 3382417\/128. Do r and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22971865*d**4 + 2*d**3 - 81821578*d**2?\nAnswer: -551324760*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 896966 and 68124?\nAnswer: 5381796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -7*w - 323. Let a be s(-53). What is the highest common factor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 r when four letters picked without replacement from sfsszzrsrsrz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -247 + 525 - 278 - 29*o. Let h(x) = -x**2 + 6*x. Calculate d(h(r)).\nAnswer: 29*r**2 - 174*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*u**5 - 2*u**4 + 72*u**2 + 2.\nAnswer: -780*u**2 - 48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 109368757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 - 5)*(-3*n - 4*n - n)*(1 - 2*n - 1)*(-13 - 16 + 25)*(0 + 0 - 3) to l + k*n + j*n**2 and give j.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1*sqrt(200))**2*2 + -4*(sqrt(200) - (3 + sqrt(200))*-4).\nAnswer: -200*sqrt(2) + 2352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 64 + 266 = 9*b - 36*b, a + b + b = -26 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5.2, -490, 22, 5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221202100 - -11111021?\nAnswer: -1210021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -840, -7, -23 in increasing order.\nAnswer: -840, -23, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*d**2 - 546*d**2 + 76*d**2.\nAnswer: -294*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 90 divided by 15\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2041 + -1668. Let l = 8 + 250. Let k = v - l. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*g - 109721 + 110367 = 0 for g.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((sqrt(28)\/sqrt(2))\/sqrt(2))**2 - sqrt(7)) + sqrt(112) + -2 + -2).\nAnswer: -18*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.00558 and -6337284706.\nAnswer: -6337284706.00558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48\/30*70\/196?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -1\/3, 26, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 436056, 436060, 436064, 436068, 436072, 436076?\nAnswer: 436080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*k**3 - 6*k**3 - 2*k**3 + (-2 + 3 + 2)*(-2 + 0 + 1)*(k - 3 + 3)*(3*k - 5*k + 2*k**2 - 3*k**2).\nAnswer: -12*k**3 + 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25*f**2*x**2 - 27*f**2*x - 7*f**2 + 2*f*x**2 - 30*f wrt x?\nAnswer: 50*f**2*x - 27*f**2 + 4*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**10)**(-27) assuming y is positive.\nAnswer: y**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c - 2*c - 2*c)*(-c + 8*c - 2*c)*((-c**2 + 0*c**2 - 4*c**2)*(c + c + 0*c) + 3*c - 3*c + 2*c**3).\nAnswer: 120*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5778 and 4671.\nAnswer: 999594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 7606*r**3 - r**2 - 10*r + 9. Is j(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.07661786 - 0.03338266. Let x = -0.11 - w. Round x to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((4\/(-8))\/((10\/(-10))\/(-5))).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2584*m**3 - 10262*m**3 - 8436*m**3.\nAnswer: -16114*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = 108. Let w be 36\/(-162) + (-35)\/l. What is the nearest to 1 in 2, 5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (623*j - j**4 + 619*j + 12*j**5 - 1243*j)*(1 - 4 + 1).\nAnswer: -24*j**5 + 2*j**4 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, d: 17}. Give prob of sequence hd.\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**4 + v**4 - v**4 + 0*v**4 + v**4 + v**4 - 2*v**4 - 1 + 1 + 3*v**2 - v**4 - 3*v**2 + (-3*v**3 + 6*v**3 - v**3)*(v + 3*v - 5*v).\nAnswer: 3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/25*50\/4)\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 1 - 48*s - 5*s - 12*s in the form b + h*s and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3119625 divided by 346625\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 96*g - 76*g + 40. Let k(f) = 3*f + 2. What is k(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**0)**(-41))**4\/(((((w*w**(-1\/2))\/w)\/w*w)\/(w*w**(-3)\/w))\/(w**1)**50) assuming w is positive.\nAnswer: w**(95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1420\/234 + (-18)\/(-117) - 6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21132 is divided by 722.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**3 + 4*b**2 + 7*b - 7. Let n(a) = 4*a**3 + 7*a**2 + 13*a - 13. Give -4*n(w) + 7*x(w).\nAnswer: -2*w**3 - 3*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9342730?\nAnswer: 2, 5, 349, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - ((5 - 21) + 6 + -8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ntncctcttccn. Give prob of sequence ttc.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1002222 (base 3) to base 4\nAnswer: -30221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.309 and -116610223.\nAnswer: -116610222.691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/10038316 and -99\/772?\nAnswer: 10038316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57603 = 69*o - 52443 + 13101. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17659 and -0.0749.\nAnswer: 1322.6591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1688?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2899362, 2899341, 2899324, 2899311, 2899302, 2899297, 2899296?\n\"Answer: 2*a**2 - 27*a + 2899387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5586805 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 4*q**2 - 2*q + 8. Let z be v(4). Sort 27, -3, -2, z in descending order.\nAnswer: 27, z, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44*s + 566*s**3 + 5*s**2 - 2*s**2 + 2 - 45*s - 3*s**2 to z*s**2 + d*s**3 + h + x*s and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.58 and 81.2?\nAnswer: 47.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 8813644, 8813652, 8813660, 8813668, 8813676, 8813684?\n\"Answer: 8*i + 8813636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 a factor of 621697125?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1923975 and 10?\nAnswer: 3847950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -42*b + 92. Let m be r(2). Solve -22 = -m*k - 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p + 9. Let o be v(5). Let w = -1 + -4. What is the biggest value in 3, w, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/21)\/((15\/30)\/((-42)\/(-24)))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 785 is divided by 178.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 26.79 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 + 21*z - 13. Give d(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -18369 at most as big as -18362?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = k + 64. Sort 1, 0, k.\nAnswer: k, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 875, 1729, 2597, 3485, 4399, 5345?\nAnswer: 6329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1551 and 132.\nAnswer: 6204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28 or -8?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 59 + 5*f - 59. Let z(b) be the second derivative of 17*b - 7\/6*b**4 + 0*b**3 + 0 + 0*b**2. Give a(z(v)).\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -208.0000001271 - -208. Round u to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + k = 18, -2*k - 13 = 5*a + 2*k for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/9 - 4129078*c\/9.\nAnswer: 2*c*(c - 2064539)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -90 + 34 + 56 - 27*k**3 + 12*k to the form s*k**2 + c*k + d + n*k**3 and give c.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24, 43, 76, 129, 208, 319, 468?\n\"Answer: r**3 + r**2 + 9*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 e when two letters picked without replacement from ueueeeeeueeeeeeeeeue.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 5*k + 3. What are the prime factors of g(5)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 269, 191, 113, 35, -43, -121?\n\"Answer: -78*d + 347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -1960*g**2 - 1. Let v(w) = -49*w**2. Determine a(v(p)).\nAnswer: -4705960*p**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39 and 199173.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 9*m**2 - 9*m - 5. Let k be w(-8). Suppose -3*v + k = -15. Let x = v + -3. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 - (-280)\/(-1)*24\/192?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8*z - 49. Let w(f) = -4*f + 24. Let h = 40 - 50. Let u(c) = h*w(c) - 4*r(c). What is the smallest common multiple of 38 and u(6)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1111*2\/(-66))\/(2 + 98\/(-48)). Calculate the highest common factor of i and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + r = -15. Is (r\/15)\/((-1)\/(-177)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 492 = -13*n. Is n a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 82, 112, 154, 208, 274?\n\"Answer: 6*o**2 + 12*o + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33 + -29. Solve 0 = w*p - 2*l + 4, p + 4*l + 0*l = -10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -u + 0*u + 2*u + (64*u - 12*u + 33*u)*(1 + 2 + 2) as h + j*u and give j.\nAnswer: 426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -64264*o**3 - 554165*o.\nAnswer: -385584*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1)\/v)\/v*v**(-17))**(7\/5) assuming v is positive.\nAnswer: v**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 396941, 396777, 396613, 396449, 396285, 396121?\nAnswer: 395957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4839220 and 16?\nAnswer: 19356880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s - 2. Let i be n(-4). Suppose 0 = 3*a - 5*d - 26, -2*d + 0*d = -3*a + i. Suppose 46 = a*j - 66. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 104.78975 * 3.1.\nAnswer: 324.848225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5 + (1*sqrt(63)\/sqrt(144)*1)**2).\nAnswer: -261\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1691*i + 157*i - 6397*i = 2974*i - 577965 for i.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*j - 60, -5*j - 32 = -3*j + z. Let b = j - -16. Let l be (-4)\/(-10) + 12\/10. Is b < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, 0, -35, -4, -1, 7 in increasing order.\nAnswer: -35, -5, -4, -1, 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12*(-14)\/(-210))\/((-2)\/20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 308322 is divided by 102760.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 24071.4251 rounded to 0 dps?\nAnswer: 24071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 251 or 254?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38985\/2*v + 3\/2*v**3 + 39675\/2 - 687\/2*v**2.\nAnswer: 3*(v - 115)**2*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*u = -3*u + 2, -4*u - 8 = 2*f. Suppose f*y - 2*y + 2*m = -8, -m + 2 = y. Find the first derivative of 26*x**y - 4*x**4 + 3 - 26*x**3 wrt x.\nAnswer: -16*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -24*z + 8. Let q(b) = -24*b + 12 - 7 - 19 + 21. What is -5*m(t) + 6*q(t)?\nAnswer: -24*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -33 - -34. Let p(x) be the second derivative of -x**3\/6 - x**2\/2 + 3*x. Let q(v) be the first derivative of v + 6. What is f*q(c) - p(c)?\nAnswer: c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -57444968, -57444969, -57444970, -57444971?\nAnswer: -57444972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-252)\/(-27)*(-81)\/756*-14.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-5)*(3 + -8). Let r be s\/2*-1*59. Suppose 9 = 2*y - r. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**3 + 2*q**3 - 5*q**3)*(3 - 2 + 1) - 48*q**2 - 3*q**3 + 48*q**2 - 274*q**3.\nAnswer: -273*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 45 = -220*d + 195*d, d + 4*w + 22 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**7*q*q*q*q**(5\/4)\/q*q**7\/q*q*q**(-5) assuming q is positive.\nAnswer: q**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a minute in milliseconds?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -11 - (-1 - -1)\/(-2). Which is greater: f or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6130240 divided by 10\nAnswer: -613024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 544757659 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.1 + -17.099909. Round x to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-4 + (7 - 6) - 2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94710 is divided by 7883.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1534618942?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -74. What is the third biggest value in i, 7, -2, 1\/4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/1 + (3 - 6) + -6. Let x(k) = 0*k - 6 - k - 4. Give x(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -0*p - 2*p. Let o = -8 - p. Solve r + 13 = -o*i, 2*r - 24 = 2*i + 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3582494496?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 15) + 32 + -3.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*a - 208 = 77*a. What is the remainder when a is divided by 41?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + o = 4*o + 106, -21029*o + 96 = -5*z - 21027*o for z.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = r + 3*l, 0 = -3*r + l + 4*l + 45. Let t be r\/(-3)*((-201)\/(-195) + -1). Which is the fourth biggest value? (a) t (b) 9 (c) -4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 619 in -5, -2272, -2\/3, -0.5, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2949*g = -2976*g. Solve -8*a - 10 + 42 = g for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**3 - 35*x**2 - 21*x - 49. Determine f(-17).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/16)\/((-1)\/20) + 44*-1 + 10.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 56?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3360, 4, 6.\nAnswer: 4, 6, 3360","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence naan when four letters picked without replacement from naaananannnaaanann.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -90, -164, -252, -360, -494?\n\"Answer: -c**3 + 2*c**2 - 65*c + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 5*k, -4*f - 3*k - 3 = -11. Suppose -7 - 13 = -f*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*a**4\/4 - 957*a**3\/2 + 67737*a**2\/4 - 135804*a - 153216 = 0. Calculate a.\nAnswer: -672, -1, 16, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8331250 to the power of 1\/3, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21205 or 20338?\nAnswer: 21205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 17, 5 in descending order.\nAnswer: 17, 5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 595 + -477. Suppose -3*a + y = 5*y - 378, 5*a + 2*y = 616. Let o = a - q. Solve 0 = o*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 14*x + 2205. What is n(-62)?\nAnswer: 1337","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 656053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 180493 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f\/f**3*f))\/(f**(-2\/17)\/f))**(-1\/33)\/((f*f**(-1)\/f*f)**(-42\/11))**35 assuming f is positive.\nAnswer: f**(-19\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - -52161.\nAnswer: 52198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6662708 - -5?\nAnswer: 6662713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 3 = -3*g + 2, -2*o = g + 10. Let f(s) = -2*s + 16. What is f(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*t - 222, -100 = -2*t + 2*f - 7*f. Suppose y + 4 = -6. Let d be (-1)\/((-2)\/y)*-1. Calculate the highest common factor of t and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (315\/5)\/(-3) - (-1 - 0). Let k = r + 75. Does 20 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/3 and (34\/21)\/((-22)\/33).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1204380 divided by -3\nAnswer: 401460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = r - 1, -5*r + 122 + 83 = 108*g - 54 + 171 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-1) - 0) + -20. Let i be ((-22)\/m + -1)*(-7 + 10). What is the biggest value in 3, i, 2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1053, 1407, 2001, 2841, 3933, 5283, 6897?\n\"Answer: u**3 + 114*u**2 + 5*u + 933","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-324)\/8)\/(-9)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pxxww. Give prob of sequence pw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 3054557215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 1842 = -o. What are the prime factors of o?\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*k + 10*k - 124 - 29*k.\nAnswer: -k - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - c = -2*k - 14, 4506 = 2*k + 4524 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 463 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 105239\/85215 + -411\/247. Let g = k + 2\/69. Are 3 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5 + 5. Let h(a) = 5*a**3 + 4*a**2 - 7*a + 9. Let y be h(u). Let z be 10\/(-15) + (1 - y\/(-117)). Which is smaller: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 15, 0*l + 35 - 10 = s - 4*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 193246 = 30*o + 4*o. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79\/148 - 8\/37. Sort 0.21, 5, -0.5, u in decreasing order.\nAnswer: 5, 0.21, -0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.03 + 0.97. Let w = -10.6 + 10.1. What is the nearest to b in w, 1\/5, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17557099, 17557096, 17557093, 17557090, 17557087?\n\"Answer: -3*k + 17557102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4048, -4045, -4042, -4039, -4036?\n\"Answer: 3*g - 4051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.094 - -1.1847?\nAnswer: 468.2787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -1) + 1\/4. Let a = 1165 - 1165.48. Do a and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l - 312 = 54*l - 90 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from itst. What is prob of picking 1 t and 1 s?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 423 = 433. Let c = f + -60. Calculate the remainder when c is divided by 39.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007737284 to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 154*w**2 + 67*w + 1348. What is the units digit of o(155)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*u**3 + 2 - 4 - 277*u**2 + 279*u**2 in the form s + i*u + q*u**3 + t*u**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -11\/2 (c) -2 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - -26. What are the prime factors of m?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.9452 or -1\/4?\nAnswer: -2.9452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 940885418 to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:57 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5828*h**3 + 2*h**2 - 9718*h.\nAnswer: -34968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4012, 4617, 5602, 6967?\n\"Answer: 190*j**2 + 35*j + 3787","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2269*s + 4516*s + 3432*s**3 - 2246*s.\nAnswer: 3432*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89 + 95. Let u(b) = -8*b**2 - 11*b - 11. Let p(y) = -2*y**2 - 3*y - 3. Give r*u(o) - 22*p(o).\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(-20) + (-18)\/(-10). Suppose 0 = -3*c + l*c + 3. Suppose -c*r = -4*r + 5. Is r less than or equal to 27\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 5*w = 149, 0*l - l - 141 = -3*w. What is l rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - j + 3 = n, n + 3*j - 9 = 0. Let 0 - 4*z**2 + 0 + 4*z + n*z = 0. What is z?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-9)*-12*(-117)\/(-104)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17026068 divided by -93\nAnswer: 183076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 4*x - 150, 15 - 3 = -3*x. Let v be 261\/18 - (-2)\/(-4). Let r = v + 7. What is the remainder when h is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1473, 1347, 1221?\nAnswer: 1095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 2\/5 (b) 8 (c) -12 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 7 = 5. Let o(d) = 1. Let i(j) = -j**2 + 4*j + 6. Let x(k) = -i(k) + 6*o(k). What is x(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.1066012 months to centuries.\nAnswer: 0.001755501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (5151\/102 - 48)*(-312)\/30\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -200 + 206. Let w(m) = -m**3 - 8*m**2 - 8*m + 10. Calculate the remainder when w(-7) is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 4257.\nAnswer: 21285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**2 + 1. Let s(d) = 16*d**2 - 2*d + 5. Let j(o) = 5*h(o) - s(o). What is the second derivative of j(t) wrt t?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 17 = 7*j, 10*n + 10 + 4 = 2*j - 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-8)\/502*(-1 + 9\/6). Let z = c - 2203\/7028. Find the common denominator of 411\/15*(-10)\/12 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-5)*(1 + -6). Let f = i - 2. Suppose 2*m - 4*m + 8 = f. What is the third biggest value in 3, m, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -124 - (34680\/(-28900) - (((-59)\/(-5) - 1) + -1))\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.01 (b) 0.4 (c) -14 (d) -57\/113\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319*n**3 + 643*n**3 - 322*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0 (b) 0.01 (c) -1\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, -34, -5, 3, -1 in increasing order.\nAnswer: -34, -5, -1, 0, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = -884 + 885 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/42*(-14)\/4*40\/(-1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z = 0. Suppose -w + 8 + 3 = z. What is the highest common factor of w and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 430670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, 0.01, -9, 5?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p**(28\/9)*p*p)))\/(p\/(p*(p\/p**16)\/p)))\/(p\/((p*p\/p**(3\/10))\/p)*p\/((p\/(p*p**(15\/2)*p)*p)\/p)) assuming p is positive.\nAnswer: p**(-931\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0399172 * -5.\nAnswer: 0.199586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*k = -10*k + 30 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 310.3618 millilitres to litres.\nAnswer: 0.3103618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 66. Let m(h) = -h**2 - 13*h + 7. Let k be m(o). Calculate the common denominator of k\/(1*4\/(-12)) - 2 and -97\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92865710 is divided by 23.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 7480?\nAnswer: 37400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 7:39 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + 3*p**2 - 6 + (4 - 4 + 3*p)*(2*p + 5*p - 6*p) + 2 - 2 - 2*p**2 + 2*p**2 + p**2 - 4*p**2 + (0 + 2*p + 0)*(-2*p + 2*p - 2*p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 divided by -6?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -321*l**2 + 1129 wrt l?\nAnswer: -642*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476427 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 15\/3 - (4 + -1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 11*u**2 - 4*u - 1. What are the prime factors of d(-11)?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0151131756 - 1274.\nAnswer: -1274.0151131756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-92)\/(-6))\/(-1 + (-34)\/(-30)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -346998 divided by 115666?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of -p**6\/21 + 2*p**5\/7 - 3*p**4\/7 - 8*p**3\/21 + 8*p**2\/7 + 13. What is m in j(m) = 0?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155\/10*6\/3?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -1\/2 (c) 0.4 (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - 8. Let h(p) = -p**5 + p**4 + p**3 - p**2 - 5*p. Let r(m) = -m**5 + m**4 + m**3 - m**2 - 4*m. Let g(v) = s*h(v) + 5*r(v). Let g(f) = 0. What is f?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 433131 (base 5) in base 12?\nAnswer: 8687","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -217498 or 0.96?\nAnswer: -217498","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20311067 * -0.3\nAnswer: 6093320.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, c: 1, b: 2, j: 1, m: 1}. What is prob of picking 2 b?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3970*g - 3972*g - 26 for g.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2)*(4 + 1 - 2) - 3 - 2 - 8)*(-158*s - 18*s**2 + 158*s).\nAnswer: 126*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 31811252 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, k: 3, c: 4, p: 6}. Give prob of sequence pv.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31522 (base 15) to base 6.\nAnswer: 3204035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 120007 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*n = -207, 0 = 2*t - 5*n + 4*n - 151. What is the highest common factor of 518 and t?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77038*0.1\nAnswer: 7703.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*r - 694 = 0, -4*z + 8*r + 920 = 4*r. Let d = -3 + 65. Suppose -d*u + z = -56*u. What is the remainder when u is divided by 21?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 4*v + s + 10, -5*s = -v - 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 127716 and 1714944.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -610 and -620 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 8. Suppose 0 = 4*x - 7*x + l. Solve -x*k - 1 = -3*i, -i - 3*k - 10 + 3 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1495 + -1494.4. Put j, -0.09, -4, 4 in descending order.\nAnswer: 4, j, -0.09, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 9*s + 3. Let b be d(9). Suppose -j + 488 = -b*r, -2*j - r + 1003 - 34 = 0. Suppose 5 = p + j. What is p rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-750*k**4 + 50877*k - 50877*k)*(-4*k + 8 - 8).\nAnswer: 3000*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.55894 months in years?\nAnswer: 0.213245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 367063061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5774, 23037, 51816, 92117, 143946?\n\"Answer: p**3 + 5752*p**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 90.27486ml?\nAnswer: 0.09027486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 17. Suppose 25 = 5*t, 4*h = 3*h + 2*t - 6. Suppose -2*x + 20 = 5*b - h*x, b + 4*x = 4. Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 14172 from 216.23.\nAnswer: -13955.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-671608)\/(-3618))\/358)\/((4\/10)\/((-6)\/10)).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*(-2)\/(-60)*42\/49.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 2:17 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/51 (b) -3\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153 and 8064.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcss. What is prob of sequence sd?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -1. Let v be (-2)\/(-3)*((-2)\/(-1))\/(-6). Which is the third biggest value? (a) v (b) 2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120383*q = 120411*q + 56 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -2 - 6*x**2 + 1 - 3. Let d = -3 + 6. Let t(o) = -2 - 20089*o + 20089*o + 5 + 5*o**2. What is d*p(s) + 4*t(s)?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = 4*f - 23, 40*f = -4*d + 36*f + 24 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -2\/3, 2\/9, -0.9 in ascending order.\nAnswer: -0.9, -2\/3, -2\/5, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 11:37 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 578622, 578361, 578100, 577839, 577578?\nAnswer: 577317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*t + 4*q = 2588, 0*q = -5*t + 8*q - 11*q - 301 for t.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -828*h**2 + 828*h**2 + 42*h**3 - 6*h**3.\nAnswer: 36*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 0. Let v(x) = 21*x**2 + x - 1. Is v(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 758172555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 2*m - m)*(-3241*m + 8640738 - 8640738) to w + z*m + b*m**2 and give b.\nAnswer: -6482","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1525*f - 55*f**3 - 1525*f + 1)*(0 - 2*f**2 + 0).\nAnswer: 110*f**5 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iby when three letters picked without replacement from {p: 1, i: 4, b: 5, y: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*y - 21*y - 3 + 1 in the form m + k*y and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/990 (b) -3\/8 (c) -3 (d) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61531 is divided by 1926.\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(-1 - 3*u + 1) + 4*u + u - 2*u + 2 - 2 - 2*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -60.36.\nAnswer: 241.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 - -0.22. Let z = -0.3 + g. What is the second smallest value in -0.5, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hddv when four letters picked without replacement from {h: 5, d: 3, u: 1, i: 1, v: 1, p: 1}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -958, -1917, -2876, -3835, -4794?\nAnswer: -5753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32995 - 31240. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 5*f + 10. Suppose -f*s = 2*s. Suppose -2*l - 4 = -4*r, s*r - l + 10 = 2*r. Which is smaller: 2 or r?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -7*u. Suppose u = -3*m - 10 + 1. Is (m - -1) + (7 - -6) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94 - (-2 + 28 + -63 + 67)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -3501.204 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13303 and -7.\nAnswer: 93121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1 and 173?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 107215\/25 + (-6)\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((192\/(-336))\/((-1)\/(14\/(-12))))\/(-3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 4 = n. Suppose n = 3*g - g. What is g rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4 - 258*g**3 - 4251*g**2 - 19440*g - 15444 = 0. Calculate g.\nAnswer: -66, -13, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9, 32, 71, 126, 197?\n\"Answer: 8*x**2 - x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 296 + -3254\/11. Let d = 84.4 - 84. Let a be ((-2)\/10 - (-372)\/960)*-4. Sort r, a, -3\/5, d in decreasing order.\nAnswer: d, r, -3\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30 and 435.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -40323122?\nAnswer: 40323111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4461406*o**4 + 43*o**3 - 162065*o**2 - 405*o.\nAnswer: -107073744*o + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1312046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-4 - (4 - 8) - 9).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*p**3 - 208*p**3 + 96*p**3 - p**2.\nAnswer: -40*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -95d (base 14) to base 4\nAnswer: -130313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*4\/120*-1. Put -551, a, -2\/11 in decreasing order.\nAnswer: -2\/11, a, -551","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16976 is divided by 5579.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, d: 1, i: 7}. Give prob of sequence ild.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4)*(3*n - 2*n - 6*n)*(17 - 6 + 31 + (1 + 1 + 0)*(-1 - 1 - 1)).\nAnswer: -180*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1303 + 2?\nAnswer: -1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 3) + (3 - 36) + 37?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*z**2 + 16*z**3 + 3 + 24*z**3 - 44*z**3 + 0 in the form v*z + g + i*z**3 + k*z**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -89\/2, 0.4, 0 in decreasing order.\nAnswer: 4, 0.4, 0, -89\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10404491 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1276, 1274, 1270, 1264, 1256, 1246, 1234?\nAnswer: 1220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from -288.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(1\/18)))\/(g\/g**(-10\/9)))**(-10\/7)\/(((g\/(g**(-2\/11)\/g))\/(g**(-6)*g))\/((g\/(g*g\/(g\/(g**(1\/2)*g)*g)))\/(g**5*g))) assuming g is positive.\nAnswer: g**(-4891\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*(i*i**(-6\/11))\/i*i))\/(i*i**(-1\/2))*(i**(2\/9))**(-20)*(i*(i*i**5)\/i)\/i**(-2\/3)*((i*i**(-2\/7)\/i)\/i)**(-6) assuming i is positive.\nAnswer: i**(12449\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2 and 463?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4625 a factor of 550412000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 12 = -14*v. Solve v*t - 6 = -k + 5*t, 0 = -3*k - 2*t + 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -583.9 rounded to the nearest ten?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10701 - -0.699.\nAnswer: -10700.301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39\/5*l**2 + 24\/5*l**3 + 3\/5*l**4 + 0 + 18\/5*l = 0. What is l?\nAnswer: -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47328, 47355, 47382, 47409, 47436?\nAnswer: 47463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(768)*-2) - (-1 + sqrt(128)))**2.\nAnswer: -129*sqrt(2)\/8 + 16769\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 + 3)*(34*r - 33*r + 4 + 0).\nAnswer: 6*r + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 74\/(-60)) + (-626)\/(-3756).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1003*q**4 - 901*q - 2.\nAnswer: 12036*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 0.2, -4\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2324252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/46687647 and 16\/880899?\nAnswer: 46687647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 n when three letters picked without replacement from iminmjimwj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.19 - -0.01. Let g = o - 0.19944. Round g to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/((-6)\/21) - 3. Suppose -k = -b + 8. Is 12 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100000 (base 2) in base 13?\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 4*i + 9. Let r = i + 3. Let m be 0 + (6 + r - 2). Solve 3*u + 5*g + 40 = 0, -2*u = 3*u + m*g + 45 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 15) + (-2 - (8 - 8) - 3).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-28)*(-884)\/34*3*(-2)\/9?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/1)\/((-16)\/48*1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 + 18 = -5*i. Let h = i + 13. Let g be 2 + -4 - (h - 4). Solve 4*o = 3*q + 27, 2*q - g*q - 10 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -3. Suppose 3*r - 6 - 6 = 0. Suppose -r*i + g*i = 8. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -228150 divided by 10\nAnswer: -22815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 2*s**2 - 20*s - 24*s - 4*s + 48 + 43*s to p + t*s + g*s**2 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(2\/17)*p**(1\/4))\/((p*p\/p**(2\/7))\/(p\/p**(-7))))**(6\/17))**50 assuming p is positive.\nAnswer: p**(237525\/2023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 83*d**3 + 306 wrt d?\nAnswer: 249*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*3*sqrt(60)\/sqrt(3) - -3*sqrt(100)\/sqrt(5)*6) + -2)**2.\nAnswer: -168*sqrt(5) + 8824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**5 - 515*l**4\/3 + 7620*l**3 + 13060*l**2 + 15808*l\/3 = 0 for l.\nAnswer: -208, -1, -2\/3, 0, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 + 101. Let h be (-1 + -1)*(3 + -2). Let s be (-1)\/(h\/(-4)*2). Put m, -2, s in ascending order.\nAnswer: -2, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4124951 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from leluelleelleeee. What is prob of sequence el?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109 - -116. Let w(y) = 12*y**2 - 9*y + 75. What is the hundreds digit of w(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 11*q - 16 - 27)*(-2 + 1 - 4).\nAnswer: 55*q + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -552255*t + 552094*t = -4669 for t.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -54 - 64199442\nAnswer: -64199496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -149, -525, -1165, -2075, -3261, -4729?\n\"Answer: -t**3 - 126*t**2 + 9*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 7. Let o = z + 2. What is the smallest value in -5, o, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -1026?\nAnswer: -1028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -941 and -4\/28393 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 665699 and 5991291.\nAnswer: 5991291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5\/4 + 3053*b**4\/6 + 7117*b**3\/6 + 508*b**2 - 6101*b\/12 - 2033\/6 = 0. What is b?\nAnswer: -2033, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 344 and 56051016.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3.145 (b) 1\/80 (c) 0.08 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a - 13. Give p(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, k: 2, f: 1, s: 1, v: 3, j: 2}. Give prob of sequence vf.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9356 - 9359. Put h, -1, 0.8, 5\/13, -2\/7 in ascending order.\nAnswer: h, -1, -2\/7, 5\/13, 0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 116 from 0.422822051.\nAnswer: -115.577177949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26626 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 224?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a - 8 = -6*a. Is a at least as big as -10\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1111220210221 + 2?\nAnswer: 1111220211000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -272*n - 286*n + 811*n + 6 - 380*n.\nAnswer: -127*n + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/8 (b) -5 (c) -14 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 69 - 37. What is the lowest common multiple of 8 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -58584 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 7 = -5*i + 44, -4*i + 20 = 0. Suppose 5*q = -n + 26, -2*q + u*q - 85 = -4*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 m when four letters picked without replacement from {x: 1, m: 2, u: 2, z: 4}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*x = -24, i + 0*i + x = 14. Let v(y) = -5*y + i*y + 0 - 1. Let t(g) = 5*g. Calculate 7*t(l) - 3*v(l).\nAnswer: 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 390 and 817440.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.754 - -1110.0625654.\nAnswer: 1108.3085654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4761889 tonnes in micrograms?\nAnswer: 476188900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 5*j + 8. Let n(z) = -2*z - 3. Let t(p) = 3*f(p) + 8*n(p). Let u be t(1). Let q be (-2 - u) + 1 - 0. Solve q = -4*g + 3 - 7 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.021 - -7.921. Let w = -1564 + 1556. Let o = m + w. Which is the biggest value? (a) 0.3 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 4*u**2 + 3*u - 5. What is x(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -243202410 rounded to the nearest 1000000?\nAnswer: -243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*r**3 + 11*r**3 - 41*r**3 + 4*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -45 - -71. Suppose -q = 3*v - 38. Find c, given that 76*c + 226*c**2 + 148*c**v + 8 + 87*c**4 + 308*c**3 - 4*c + 40*c**5 - 49*c**4 = 0.\nAnswer: -2, -1, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6781526 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6648 at least -6648?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 6*p + 4. Let a be t(8). Let y be 8\/a*(-10)\/6. Are 1 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/529 + 523\/1587. Let m(f) be the first derivative of -2\/15*f**5 + 1 + 0*f + 2\/9*f**3 - 2\/3*f**2 + t*f**4. Factor m(v).\nAnswer: -2*v*(v - 2)*(v - 1)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -3*b**3 - 19*b**2 + 3*b + 1. Let p be d(-7). Suppose -3*y + p = 3*y. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -10*y + 4. Let w(p) = 7*p - 3. Let h(c) = -5*v(c) - 7*w(c). Let d(j) = -10*j - 6. Suppose -33 = -3*r - 9. What is r*h(k) + d(k)?\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3568 = -3832. Let k be (414\/24)\/(2\/(-8)). Let o = k - y. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 + u - 4. Let j(g) = 55*g**2 - 45*g + 65. Let c(l) = j(l) - 25*p(l). Find h such that c(h) = 0.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10527 = 4533. Suppose -v = -7*v + n. Suppose 0 = -p - p + v. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.4 and -228253?\nAnswer: -547807.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -713*a**2*w**3 + 7*a**2*w + 4*w**3 + 119*w**2 - w wrt a?\nAnswer: -1426*a*w**3 + 14*a*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/218 and (260\/(-1560))\/((-1)\/((-294)\/(-200)))?\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -431 + 434. Let o = 194 - 189. Solve 6 = 3*q - o*p, g*q = 4*q - 3*p - 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 68125.8?\nAnswer: 68127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -2\/5, -1\/5, -165, 2\/31, -1\/7?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - (-3)\/2)\/(2\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1077 divided by 3\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*z - 39. Solve f**5 + f**3 + z*f**5 - 10*f**5 - 2*f**4 + 4*f**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.034 + -0.044. Round n to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1231*i**2 + 1930*i**2 + 4340*i**2 + i as y + w*i + z*i**2 and give z.\nAnswer: 7501","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*3\/(-60)*(-20)\/(-18).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -8752\/1185, 1, 4 in decreasing order.\nAnswer: 4, 1, -0.2, -8752\/1185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93*w**3 + 385 wrt w?\nAnswer: -279*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 3:59 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 447bd (base 15) to base 11\nAnswer: 139668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = 0, -12*w - 41*w + 15*l = 44*w + 12*l - 2037 for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -345*s = 5803 - 6148 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*w + 12, 5*y - 26 = -5*w + 4*w. Let v(p) = -y*p**2 + p**2 - 3*p**2 + 5*p**2. Let z(b) = 4*b. Determine v(z(k)).\nAnswer: -32*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3*f**2 - 95*f - 175. Determine w(-23).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 72592994?\nAnswer: 2, 36296497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + ((1 + sqrt(432))*-6 - ((sqrt(432)*-2 - sqrt(432)) + -3))**2).\nAnswer: 864*sqrt(3) + 15592","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 66747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from uzdudzduuzz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 29*x = 0, 0 = 4*q + 5*x - 4464. Solve -7*v = -q + 1088 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -13661*k + 4. Let n(u) = 2*u**2. Calculate n(w(i)).\nAnswer: 373245842*i**2 - 218576*i + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 779 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23336265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10 + -57542?\nAnswer: -57552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 0*h + 4*h - 22, 0 = 4*y + 4*h - 32 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-8\/9)*(w\/(w*w**(-11)))\/w*(w\/w**0)**(4\/23) assuming w is positive.\nAnswer: w**(1922\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -3. Let k = 64 + -157. Let p be k\/7874*(-4)\/3. Does n = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out -42463030144142 - 0.1.\nAnswer: -42463030144142.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 1 = -5*s + 21, -2*h - 4*s + 18 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19216768\/3 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + sqrt(84)*-1 - sqrt(84))\/sqrt(3))\/(sqrt(256) - sqrt(256)*1 - sqrt(4) - sqrt(4)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 23903*h + 0 - 60*h**2 - 23844*h + 56*h**2 + 47747*h.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -115751086.7 rounded to the nearest one hundred thousand?\nAnswer: -115800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/9482 and ((-1)\/3)\/(5\/75) - (-106)\/44?\nAnswer: 9482","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k**3 + 0*k**3 + 5*k**3)*(-4 - 1 + 0) + k**3 + k**3 + 0*k**3 + (-1 + k**3 + 1)*(4 - 1 - 2) to o*k + c + m*k**2 + w*k**3 and give w.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r**4\/7 + 2408*r**3 - 19100*r**2\/7 - 1345776*r + 12746160 = 0. Calculate r.\nAnswer: -4215, -27, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2100*v. Let l be s(8). Round l to the nearest one thousand.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**5 - 3*q**5 - 67*q + 70*q wrt q.\nAnswer: -140*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**5 + 83085*a**4 + 575218224*a**3 - 575301312*a**2.\nAnswer: 3*a**2*(a - 1)*(a + 13848)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 31 = 4*x, 7*x - 2*x + 10 = -2*g. Suppose 3*p - g*c = 10, 0 = 2*p - 4*p - c - 2. Let o(i) = -i + 2. Let f be o(4). Which is bigger: p or f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -j - 13, 0 = 6*c - c - 2*j - 56. Suppose -2*w = 2*w + 4. Let q(p) = 4*p**2 - 2*p - 1. Let t be q(w). What is the highest common factor of c and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -t**4\/4 - 3*t**2\/2 + 2. Let h(w) = -w. Determine -6*h(o) + 2*p(o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 10, s: 2, z: 2}. Give prob of picking 2 x and 1 s.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b + 212*b + 85*b = -4060 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**2)**(9\/4)*u**2\/(u**(1\/13)\/u) assuming u is positive.\nAnswer: u**(155\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.25, 37, 0, 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 412*l**5 + 3*l + 3 wrt l.\nAnswer: 8240*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -13?\nAnswer: -0.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -171? (a) 0 (b) -0.4 (c) 3\/7 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/(-1))\/4*(-14)\/(-35). Let t be 4\/(-22) + (-2653)\/2772. Let k = 8\/9 + t. Which is the nearest to k? (a) 2\/13 (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4 (c) -0.097\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 35 and 2?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(440)\/(sqrt(640) - sqrt(10))*3.\nAnswer: 6*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -5. Let c be 1*(34 - 4)\/z. Let x = c - -26. Calculate the greatest common factor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 240 = -2*l, 2*l + 59 = i + l. Suppose -57*y + i*y - 80 = 0. What is the highest common divisor of 130 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -55, -8, 1, -33, -5, 3 in decreasing order.\nAnswer: 3, 1, -5, -8, -33, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 4 = 32*w - 146 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from {n: 2, y: 4, w: 2, z: 2, v: 3}.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4653 = 84*k - 4345 - 242. Calculate the highest common factor of 3410 and k.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(600) + sqrt(600) + sqrt(600))\/sqrt(10) + -1*sqrt(60)*-3)\/(-2*sqrt(12)*5 + 2*(sqrt(12) - sqrt(12)*3)) + 3)**2.\nAnswer: -3*sqrt(5) + 41\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10654810 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 15*l**3 + 16*l**2 - l + 13. Let b(f) = 8*f**3 + 8*f**2 - f + 6. Let m(c) = -5*b(c) + 2*u(c). Is m(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-30) + ((-5888)\/345 - -22). Let f(n) = -n**3 - 6*n**2 + 8*n + 2. Let w be f(-7). What is the third biggest value in -47, p, w, -2\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00025063847 to 5 decimal places.\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, 1\/6, 0.4, -0.48 in increasing order.\nAnswer: -0.48, 1\/6, 0.4, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29304 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 10:08 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/18 - 140\/105\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 224414 (base 7) to base 15.\nAnswer: bcb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3))**(-15)\/(y**(-14)\/(y\/((y*y\/y**(12\/11))\/y*y))) assuming y is positive.\nAnswer: y**(650\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + s - 4)*(s**2 - 3*s**2 + s**2) + (s - 4*s + s)*(0 + s**2 + 0) + (0*s - 2*s + 4*s)*(3*s**2 - 6*s**2 + 11*s**2).\nAnswer: 13*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3 + 2 - 13*l + 5*l**2 + 19. What is the units digit of r(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: -4967e3 (base 16) to base 3\nAnswer: -100001102001221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 4*f**2 + 11 + 9 - 20)*(1 + 0 + 0)*(973*f + 937*f**2 - 973*f).\nAnswer: -3748*f**4 + 3748*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8915 = 243*v - 113 - 206. Solve -60 = v*d + 22*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13451807?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 50184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*0.18\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1621 - 16*d**3 + 2746 - 1125 - d**2 + d**2.\nAnswer: -16*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 15*o + 680 - 973 + 625. Is j(10) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 26 - 2)*(0 + 0 + 3*h + (2*h - h - 2*h)*(-7 + 5 - 4)).\nAnswer: 396*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m**3 - 7*m**2 + 7*m. Calculate n(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1872586 and 3286.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22384\/560 + -40)*80.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3953.2374ns?\nAnswer: 0.0000000000065364375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -46 - -67. Let n = -20 + k. What is the second smallest value in n, -0.4, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 0. Suppose -6*i + 25 = -i. Suppose 3*d + l = i*d - 79, 4*d - 159 = l. Calculate the highest common divisor of n and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*l + 2*k + 178, k = 5*l - 299. Suppose u - 3*u = -l. What is the remainder when u is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the third derivative of -s**4\/8 - 2*s**2. Let b(x) = 10*x**2 + 4*x + 6. Let n be b(-2). Let t(r) = -11*r + n*r - 12*r - 13*r. Determine t(j(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (23650\/1419)\/(6\/(-9))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2334, -4669, -7004, -9339, -11674, -14009?\nAnswer: -16344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -441 + 441 - 3*u - 9*u**2 + (-4*u + 3*u + 0*u)*(4*u - 2*u - 4*u) + 0*u**2 - 2*u**2 + 4*u**2 - 15 + 16*u**2 + 15.\nAnswer: 11*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 66 + 30 + 23 + 12*r. Let w be y(11). Let k(p) = 4*p**2 + 5*p - 4. Let o(f) = 3*f**2 + 4*f - 3. Determine w*k(h) + 3*o(h).\nAnswer: h**2 + 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 5 in increasing order.\nAnswer: -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 4 = -2*k. Let l(b) = b**2 + b + 2. Suppose -r + 2*r + 1 = 0. Let z(t) = t - 1. Let w(c) = k*l(c) + r*z(c). Differentiate w(d) wrt d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - (-3)\/(-12) - (-57)\/(-12). Let c(u) be the third derivative of u**4\/24 + u**3\/6 + u**2. Give c(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3514 and -34?\nAnswer: 119476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c - 5 = z, 2*z = -3*c + 11. Let y(t) be the first derivative of 7 + t + 4\/3*t**c + 0*t**2. Find the first derivative of y(s) wrt s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.962 and -38349.\nAnswer: -38350.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9957*b**2*l - 111534*b*l wrt b?\nAnswer: -19914*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)*p\/p**(1\/2)*p**7*p\/(p**(-5\/3)*p))\/((p*p**(-7)*p**5)\/(p**(1\/5)*(p\/(p**(4\/5)\/p*p))\/p)) assuming p is positive.\nAnswer: p**(77\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 188362, 188361, 188360, 188359, 188358, 188357?\n\"Answer: -n + 188363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 54*c - 1. Let b(s) = 341*s. Determine b(n(f)).\nAnswer: 18414*f - 341","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -7. Suppose -2*n + 103 + 195 = y. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 19 = o. Suppose -4*c = 3*f - 12, -3*f + 9 = -3*c - o. Suppose -f*t + 108 = -4*t. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -596 - -633. What is the greatest common divisor of z and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8\/6 + 3\/(-9). Let i be w\/(7\/2 + -3). Solve i*u - 5*u + 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 106*u - 188. Let d be h(-37). Put 0.3, d, -1 in descending order.\nAnswer: 0.3, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172651 is divided by 120?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110180321.00000325 - -110180300. Let j = 21 + m. What is j rounded to 7 decimal places?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/(-4))\/(5\/20*-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 2*n - 3*n - 8, -3*n - 28 = -4*r. Let y be (-12)\/(-24) - 18\/(-4). Suppose 3*w = i - 3 - 5, y*i = w + 26. Solve i*s - s + r = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56181384 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 136600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -272*y + 275*y + l - 59, -2*y + 3*l = -21 for y.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/67 - -8845\/402. Calculate the common denominator of (570\/(-496))\/3 + 0 and a.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -312041240 (base 5) in base 7?\nAnswer: -13625165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 15.8 * 115.256.\nAnswer: 1821.0448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6}. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 + -21. Let i(c) = c**3 - c**2 - c + 3. Let s be i(r). Suppose 2*a = a + 1. Sort s, a, -1 in descending order.\nAnswer: s, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 0.019.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 4. What is the first derivative of 6*f**o + 6 - 10*f**4 - 3 wrt f?\nAnswer: -16*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u + 3015744 = 227*u + 16*u. Does 32 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 9:23 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 1 = 0, -16*r + 2*i - 7 = 55 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5666893909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i**3 - i**2 - i - 8. Let f be m(6). Suppose -9*z + f = -302. Does 38 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -146*s**4 - 450849*s**3 - 3*s**2 + 7*s - 1463627 wrt s?\nAnswer: -3504*s - 2705094","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/18)\/((-205)\/(-3075))*1?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of i**2 + 54*i - 235 wrt i?\nAnswer: 2*i + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minutes before 11:58 AM?\nAnswer: 11:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + z**2 + 3. Let g be h(0). Let r(v) = 7*v - 1. Let a = -36 - -43. Calculate the remainder when r(g) is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a. Let j be 2\/13 + (-224)\/104. Let c = 0 - j. Let s(k) = -7*k**2 + 25*k**2 - 14*k**c. Give d(s(v)).\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -75*j - 881 + 206 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -867 divided by -3?\nAnswer: 289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-2\/3)\/t**(-6))**(-22\/5))**(-5\/2))**(-28) assuming t is positive.\nAnswer: t**(-4928\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 5*c - 3 + 20, 5*c + 46 = 4*z. Suppose -55*n = -z*n - 423200000. What is n rounded to the nearest 100000?\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34 + 72)\/((-274)\/(-137)).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 20 + 5. Let q(j) = -7 + 7 + 7 - j**2 - 3*j - 4*j. What is the units digit of q(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (0 + (1 - 3))) + -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 28, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -622, 1, 791, -5 in descending order.\nAnswer: 791, 1, 0, -5, -622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u = 20*u + 34. Solve u*m - 16 = -6*k + 10*k, 15 = -5*k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*n**3*u**2 + 256256558*n**3*u + 270329*n**2*u**2 + 2*n**2*u + 5*n**2 - 2*n*u wrt n.\nAnswer: 12*u**2 + 1537539348*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16119 is divided by 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/23187186 and 95\/3258?\nAnswer: 23187186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -3*u + 69, -26*u - 34 = -25*u + 2*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 1. Let l be t(-9). Let u = -4 - -4. Suppose -4*s + u*s + 8 = 0. Solve -4 = -5*z - 4*d - l, -s*z - 2*d = 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -893, -5, 120, -2, 0.\nAnswer: -893, -5, -2, 0, 3, 4, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-9)*(((-1377)\/18)\/17 - -9)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 757 = -5*i + 5772, 0 = -2*i + 2*o + 2602. What is i rounded to the nearest one hundred?\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 575, 2287, 5141, 9137, 14275, 20555, 27977?\nAnswer: 36541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 52*q**2 + 1202*q + 130. Determine z(-23).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mxv when three letters picked without replacement from mmvxmmvmmvmfxvmmxmm.\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97.29 - -0.29. Let a = -247 + 245. Is a less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101314630 (base 7) to base 3.\nAnswer: -102011121222101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y - 25*y - 25 = 0. Suppose k + 4*h - 2 = -17, y*h = 4*k - 45. Suppose -5*r + 4*m - 17 = m, 13 = -k*r + 2*m. Let d(w) = -6*w. What is d(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2\/3 - 884*m\/3 + 15494.\nAnswer: 2*(m - 381)*(m - 61)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12967.12671 and -1.05?\nAnswer: 12966.07671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, u: 3, n: 2, s: 2, w: 1}. What is prob of sequence ufns?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1408) - (-1*sqrt(1408) - sqrt(1408))))\/(sqrt(200) - (sqrt(200) - (-1*(sqrt(200) + 2*sqrt(200)) - sqrt(200)))).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b**3 + 8 + 17*b**4 + 3*b**2 - 10 - 18*b**4 - b to the form s + d*b + q*b**2 + t*b**3 + f*b**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 9*p**2 - 152*p - 24. What is g(17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - 486?\nAnswer: -502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 568*a + 1187*a + 418*a = 117342 for a.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 62702865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -24*n + 27*n - 42. Solve -5*y + n = 2*f, 0 = 2*f - 6*f + 4*y for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*s - 4*f + 7, -s - 3*f - 574 = -565 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/3 (b) -0.3 (c) -187 (d) -5\/6 (e) 0.329\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 130810750 divided by -65405375?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - p + 2. Let a(o) = -5*o**3 + 14*o**2 - 9*o - 15. Let z(s) = a(s) + 6*l(s). Calculate z(-15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2868*k - 2863*k - l = 54, 38*k + l - 419 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*j = -34*j + 3340. Is 167 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7 + -4. Suppose 0*w - 4*w + 64 = 0. Let v = y + w. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -3\/7 (b) -1\/20 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:30 PM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-14)\/(-21))\/((-5)\/3). Let r = -0.26 - 6.24. Let h = -6 - r. What is the smallest value in 4, c, h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37.361 - 37.7. Let h = 1.339 + u. Sort -6, -0.4, -0.1, h in decreasing order.\nAnswer: h, -0.1, -0.4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from {p: 2, r: 1, t: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/968059 and 5\/1437.\nAnswer: 2904177","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 956769 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3154659, 3\/7, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1059510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -14866*a**3 - 3*a + 14880*a**3 - 1 - a**4 - a**2 + 3 as j*a**2 + s*a + w*a**4 + k*a**3 + c and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the second derivative of -m**4\/12 - m**3\/2 - 2*m**2 + 7*m. Determine s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o**4\/o))\/o*o*o)\/(o*(o**(1\/5)*o)\/o))\/(o*o**(-8)*(o**(1\/7)*o*o*o)\/o) assuming o is positive.\nAnswer: o**(93\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-2 - (6 + -5))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 9. Let k = h - -5.8. Which is the nearest to 1\/3? (a) k (b) 1\/4 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 10834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33603*l + 20*l**2 + 33603*l.\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -115, -901, -3005, -7075, -13759, -23705?\nAnswer: -37561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1312 is divided by 1147.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4661598.\nAnswer: 2, 3, 347, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2*c**5\/3 - 31894*c**4\/9 + 21242*c**3\/9 + 31898*c**2\/3 - 127568*c\/9 + 42520\/9 = 0.\nAnswer: -2, 2\/3, 1, 5315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d + 28 - 2 = 0. Suppose 2*v - 3*b = -4*b + 113, d*b = -5*v + 284. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - 18 + 9*p + (1 - 1 - 2*p)*(-2 + 0 + 4) + 0*p + 0*p - 2*p + (p - 4*p + 2*p)*(0 - 1 + 0) to w*p + i and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -55)*(-6)\/(-9). Let t = -262 - -442. Suppose -18*p + t = -16*p. Calculate the highest common factor of a and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 9 = 0, -7*t = 5*y - 5*t - 14 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -305, -98 in descending order.\nAnswer: 4, 0, -98, -305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22492\/500 + (-77)\/(9625\/(-2))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13841 divided by 127?\nAnswer: 13841\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6327869 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 118 + -70. Let y = t + -5. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a**2*f + 1195*a**2 + 1057*f wrt a?\nAnswer: 2*a*f + 2390*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence su when two letters picked without replacement from {l: 1, k: 2, b: 10, i: 1, s: 1, u: 3}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 + -7. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -272 - -2389?\nAnswer: 2117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5\/4 + 169*r**4\/4 + 1355*r**3\/4 - 13513*r**2\/4 + 3525*r + 7200 = 0. What is r?\nAnswer: -160, -15, -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 46*z + 252. Let v be x(-5). Sort -13, v, 1, -4.\nAnswer: -13, -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + (-5)\/((-15)\/(-42)). What are the prime factors of (-26754)\/(-52) + 15\/o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 4*c - 26, 2*r = 3*c + c - 14 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*u = j + 4, -20 = 5*j + 5*u. Let b(s) = -3*s**2 + 11. Let q = -174 + 181. Let t(y) = -3*y - 2*y**2 + 7 - 1 + 3*y. Determine j*b(n) + q*t(n).\nAnswer: -2*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 27524 times -0.1\nAnswer: -2752.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(2\/11))\/(y\/(y\/y**(-13)))*((y\/(y*y*y*y**2*y))\/y)**46 assuming y is positive.\nAnswer: y**(-2884\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of 169*o**6\/480 + 221*o**5\/240 + 7*o**4\/12 + o**3\/6 + 9*o**2. Factor a(n).\nAnswer: (n + 1)*(13*n + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*h + 6 + 1 = 0, -5*h = -15. Suppose -16503 = -2*l - 3*l - 2*f, -o*l + 3*f = -16483. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5363 - 5?\nAnswer: -5368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77638 is divided by 2863.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 8*h**5 - 180*h**4 + 824*h**3 - 1332*h**2 + 680*h = 0.\nAnswer: 0, 1, 2, 5\/2, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of j**5\/26 - 43*j**4\/78 - 66*j**3\/13 - 72*j**2\/13 - 2500*j. Find u, given that l(u) = 0.\nAnswer: -3, -2\/5, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m**2 + m**2 - m**2 + 2*m**2.\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 12) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 957*h - 2870 = 1162*h for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4535 - 4539. Which is the biggest value? (a) 0.13 (b) l (c) -54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -128 + 160. Which is smaller: 4 or w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769579213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 818, 1021, 1338, 1757, 2266, 2853, 3506, 4213?\nAnswer: 4962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**7\/o**6*o**(2\/9)*o\/(o**(-1\/6)\/o) assuming o is positive.\nAnswer: o**(61\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6920 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyfyjffyjfbooysjb. What is prob of picking 1 b and 1 y?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 5*p**3 + p**2 + 14*p - 8. Let o be v(5). Suppose -o = r + b - 3*b, 0 = 2*r + b + 1399. What is r rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (70\/68 + (-2)\/2)*-2. Let z = o + -44\/119. Suppose 0 - 5 = c + u, 3 = c - u. Is c at most z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 531\/(-12) - (-8)\/32. Let t be i\/(-77)*14\/4. Factor 0 - 12*p**4 + 3\/2*p**3 + 0*p + 15\/2*p**5 + 3*p**t.\nAnswer: 3*p**2*(p - 1)**2*(5*p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 + 7*s**2 + 2*s + 8. Let v = 62 - 57. Suppose -2*t + v = -4*z - 13, 4*t = -3*z + 14. Suppose 0 = -t*h + f - 34, h - 2 = 4*f - 5. Calculate d(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 452613201?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 y when two letters picked without replacement from {s: 2, b: 2, n: 1, y: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 * 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325)*2 + 5 - -2*(sqrt(65) - (1*sqrt(65) + sqrt(65) - sqrt(65)))\/sqrt(5))**2 + -5.\nAnswer: 100*sqrt(13) + 1320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61597, 61592, 61587?\nAnswer: 61582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**3 + v**2 - v + 5. Let a be s(0). Let r = 22 - 20. Suppose r*h + 3*h = 0. Solve -4*d + a*o - o = h, -4*d = -o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22416?\nAnswer: 2, 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14720 divided by -5.\nAnswer: 2944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 6*f - 200 = 4*f. Suppose -j = -0 - 10. Suppose 0 = -s - 0*s + j. Calculate the greatest common divisor of s and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 2 = -3*w. Let y(m) = -1. Let b(r) = -6*r**4 + 5*r**4 - 6 + 3. Let g(q) = w*b(q) - y(q). Find the first derivative of g(c) wrt c.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 7*f - 2*f - 204 = 0, 75 = h + 4*f. What are the prime factors of h?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/259 and -59\/7.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/5 (b) 1\/6 (c) 59.93 (d) -2\/959\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/6 + 85*o**2\/6 + 553*o\/6 - 637\/6.\nAnswer: -(o - 91)*(o - 1)*(o + 7)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1840207*b**2 - 3334197*b wrt b.\nAnswer: 3680414","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 - 614\/9. Sort 1\/4, r, -2\/55 in descending order.\nAnswer: 1\/4, -2\/55, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 138 divided by 2.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 6*k + 13. Let t be o(4). Suppose -2*y = -t*y + 9. Let j(q) = -y - 8*q + 10*q + 4 - 2*q**2. Give j(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49928402.4 rounded to the nearest 1000000?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2587 times 0.63?\nAnswer: 1629.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -68*t - 54*t - 45*t + (23 + 2*t - 23)*(-1 - 1 + 3) to the form y*t + v and give y.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) -2\/9 (c) 0 (d) 1242\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 4. Let q = -1 + o. Suppose q = -l - 4 + 5. Solve w - l - 7 = 4*c, 4*w = 0 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 4:37 PM?\nAnswer: 2:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l**4 - 1 - 10*l**4 - l - l**2 + 2*l**2 + l**4 in the form o*l + f*l**3 + c + v*l**2 + s*l**4 and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*a + 10*a - 9*a**3 - 11*a + 12*a.\nAnswer: -9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9) + -1*sqrt(9))\/sqrt(3)*1 - (1 + (sqrt(12) + -1)**2).\nAnswer: -14 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -433*b + 157*b + 157*b - 41*b + 149*b.\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of s**6\/360 + 13*s**5\/120 + s**4\/12 - 2*s**3\/3 + 86*s - 169. Let x(l) be the third derivative of h(l). Determine x(-6).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-138))\/((-27)\/828)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 5*n**2 + 6*n + 7. Let b be x(-6). Suppose 4*g - 6 = 3*c + 25, -5*c - 5 = 5*g. Sort c, b, 1 in descending order.\nAnswer: b, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*r - 5*f, 0*r + r - 2*f - 2 = 0. Let n = 3 + -84. Let d = -77 - n. Which is the nearest to -1? (a) d (b) r (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/330*(-10)\/2)\/(34\/(-204))\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6881 divided by 983\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 323 and 912.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7309 - 9930 = -50*j + 16079. Calculate the least common multiple of 88 and j.\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 150\/4 + (1 - 2) and 2*(-2 + 31\/(-18)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiuviiziiiuiu. Give prob of picking 1 v and 1 u.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -3, -28 in decreasing order.\nAnswer: -3, -8, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2687 + -3144. Which is the smallest value? (a) v (b) -2\/11 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/7, 6, -0.1, 2, 1 in increasing order.\nAnswer: -1\/7, -0.1, 1, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0206 + -0.5206. Let g = -0.55 - 0.45. What is the smallest value in 5, g, -5, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d - 133 + 40 + 46 + 50. Let m(y) = -5*y + 8. What is 4*m(x) - 11*t(x)?\nAnswer: 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -117*m**2 - 3881 + 3881 to the form z + y*m + w*m**2 and give w.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82715 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00443301202 rounded to four decimal places?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (0 + sqrt(147) - sqrt(147)) - (sqrt(147)*2 + 3).\nAnswer: -14*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(24\/6))\/(42\/(-48) + 0)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.43 - -0.27. Let h = -7 + 7.5. Let w = 0.8 - h. What is the closest to 2\/7 in w, 3, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - y**3 + 7 + (-2*y + 2 - 2)*(2*y**2 - 1 + 1))*(7*y + 5 - 5) to the form c*y**2 + k + m*y**3 + a*y + q*y**4 and give q.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f - 11. What is i(26)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/c**(-2\/3))\/((c\/(c\/(c*(c\/c**(-1))\/c*c*c)))\/c))**(-45)*(((c*c**(-9\/2))\/c)\/((c*c**(-1\/2))\/c))**(-2\/31) assuming c is positive.\nAnswer: c**(473\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**3 + 93*c**2 + 140*c + 13641. Determine f(-48).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3 + 4*f**2 - f**2 - 2*f**2 - 2*f. Suppose 5*l - 8 = 3*l. What is the units digit of d(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2141094 divided by -13466\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -935*i = -5838 + 16123 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12042677.\nAnswer: 12042677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3.427582+-576.231\nAnswer: -572.803418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 218031 (base 9) in base 13?\nAnswer: 4753c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14711987 to the nearest integer?\nAnswer: 3836","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/13369031 or 0.3?\nAnswer: -4\/13369031","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1486*v + 567*v - 527*v + 1233*v.\nAnswer: 2759*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -6. Let p be t + -3 + 4\/(-1). Let n = 1 + -6. Sort 2, p, n.\nAnswer: n, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one fifth of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -5 (c) 3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 7, -393, -2\/21, -1, 0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/180 and -181\/2430.\nAnswer: 4860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110101011101 + 10001?\nAnswer: -110101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-363)\/1463 - 4\/(-38). Suppose l - 2*j + 10 = 0, 2*l + 5*j - 20 = -4. Which is the closest to l? (a) n (b) -3 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 0.7. Let a = -3.7 - i. Which is smaller: a or 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 16, -0.4 in increasing order.\nAnswer: -14, -0.4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 4934500 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 314 = 46. Suppose -n = 6*j - 16*j. Suppose 3*r - 34 = 14. Sort r, 1, j, -2 in decreasing order.\nAnswer: r, j, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 132, 131, 130?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000184135395 to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m + 35 = 2*m - g, 235 = -2*m - 11722*g + 11717*g for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/4 of a microgram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s + 6. Let v(r) = 2*r - 4 - r + r. Suppose -o - 5*d = -17, -3*o - 27 = -4*d + 17. Let a be (-10 - 0) + (-6 - o). Calculate a*v(h) - 5*k(h).\nAnswer: -h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4 = -16. Let l be (-3)\/(-1*(q - 2)). Suppose -4*i - n - 20 = 0, -n - l - 12 = 3*i. Which is bigger: -4 or i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 877987.\nAnswer: 11, 79817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1 + 0.3. Let i(s) = s**2 - s + 33. Let m be i(0). Let p be m\/9 - (6 + -3). Which is the second biggest value? (a) k (b) p (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/150*10\/12. What is the smallest value in -0.2, m, 8, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*((-48)\/(-30))\/(4\/(-30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18535607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 558241 to the power of 1\/2, to the nearest integer?\nAnswer: 747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255470 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 + 12*k + 49)*(-2*k + 5*k - k)*(k**2 - 4*k + 4*k + (6*k**2 - k**2 - k**2)*(2 - 3 + 2)) + k**4 + 1 - 1.\nAnswer: 121*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 257 and 5225067?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d - 163*d - 16*d**2 + 14*d**2.\nAnswer: -2*d**2 - 120*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (168\/945)\/(1\/5*-1).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 50*t**2. Let l(z) = 5*z**2 - 7*z**2 - 6*z + 6*z. What is l(i(c))?\nAnswer: -5000*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -6418.0378 to the nearest one hundred.\nAnswer: -6400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 w when two letters picked without replacement from ppwwp?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 338035.9959 rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2482 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u - 3*d = -18, 32*u - d = 80*u - 48*u - 34 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1384120069.\nAnswer: 53, 26115473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 818 = 2*f + 2*m, 218 = 2*f + 5*m - 603. What are the prime factors of f?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 268, 815, 1638, 2737, 4112, 5763?\nAnswer: 7690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 - 1046*b**3 - 148401*b**2 + 454644*b = 0. What is b?\nAnswer: -876, -173, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/(d**35*d))\/d)\/d**(-5\/2))\/(d**(-13\/7)\/d*(d*d*d*d\/(d\/d**(-44)))\/d))**28 assuming d is positive.\nAnswer: d**346","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 58538990?\nAnswer: 11\/58538990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -1\/2*l**2 - 1 - l. What is the first derivative of n(m) wrt m?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3907, 7814, 11719, 15622?\nAnswer: 19523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/5 - 42422*x\/5 + 8484.\nAnswer: 2*(x - 21210)*(x - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 a, and 1 v when three letters picked without replacement from ojmmmxamamoxmomvamm?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*(-4 + -2)*1. Suppose i = -i + u. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1098020\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -26985548.6 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and -8863.\nAnswer: 1772.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 54.11 + -0.11. Let m = q + -53.7. Which is the nearest to 0? (a) m (b) 2\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + 8. Calculate the common denominator of 25\/24 and k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - (12 - 8))\/(4\/10). What is the nearest to -0.3 in -0.2, -0.3, c, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from sksvvvksgsogksg.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-120) - 2\/8. Do l and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1667548642?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of l**8\/20160 + l**7\/840 + 7*l**6\/720 + l**5\/30 - 4*l**2. Let p(q) be the third derivative of j(q). Is p(-7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -530 - -319. Let p = -634\/3 - q. Sort p, 1\/12, -6.\nAnswer: -6, p, 1\/12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(288) + -1)*6.\nAnswer: -6 + 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11415995.\nAnswer: 5, 29, 131, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 274535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 193435, 386889, 580343, 773803, 967275, 1160765, 1354279, 1547823?\n\"Answer: m**3 - 6*m**2 + 193465*m - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 17, 12.4?\nAnswer: 12.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -410*n - 67*n - 1 - 2 + 3 to the form o + k*n and give k.\nAnswer: -477","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10806*x**2. Let l(f) = -2*f. Determine k(l(y)).\nAnswer: -43224*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 892*j**5\/7 - 68672*j**4\/7 + 445968*j**3\/7 - 685288*j**2\/7 + 302900*j\/7 + 600 = 0. What is j?\nAnswer: -3\/223, 1, 5, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 1 = -2*w + 2*u, -3*w - 3*u = 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rpr when three letters picked without replacement from {r: 2, a: 1, f: 1, w: 1, p: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 356547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32.2992km to millimeters.\nAnswer: 32299200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**4)\/g**(-6)*g**(3\/7)*g**(3\/5)*g assuming g is positive.\nAnswer: g**(176\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.164 - 0.564. What is the fourth smallest value in 3, s, 2, 2\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -15 and 861.3856.\nAnswer: 846.3856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 31437698839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 - 3*4\/(-6). Let w = -119\/3 + 40. What is the third biggest value in w, 3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 341 + -158. Suppose -71 = 5*u - m + 110, 5*u = 3*m - x. Calculate the common denominator of 63\/55 and ((-2)\/10)\/(u\/(-1650)).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 4*r - 7. Suppose -h + 1 = 2*a, 0 = -3*h + 7*h + 3*a + 6. Give q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-4)\/5*1*20\/12?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 + 31*n**2 - 53*n**2 + 32*n**4 + 23*n**2 in the form q*n**4 + b*n**2 + l*n + d + g*n**3 and give q.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(132\/16)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 4*n = -21, -4*n + 7 - 3 = 0. Let v = -4 + -4. Let z be v\/(-12) - (-13)\/(-6). Which is the second smallest value? (a) d (b) -1\/4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/54 + 113\/270. Sort 2\/9, f, -1 in descending order.\nAnswer: f, 2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*i**2 + 2*i**4 - 41*i**2 - 1 + 1944*i**3 - 1938*i**3 to the form z*i + a*i**4 + h + o*i**2 + x*i**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22550 = 225*y + 677*y for y.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2332*g. Let a(k) = -1555*k. Give -8*a(q) - 5*u(q).\nAnswer: 780*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 25*i**4 + 85*i**3 + 130*i**2 + 60*i. Let h(a) = -8*a**4 - 28*a**3 - 43*a**2 - 20*a. Let w(j) = -10*h(j) - 3*m(j). Factor w(q).\nAnswer: 5*q*(q + 1)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -3*z - z + 680, -p = 3*z - 499. Is z a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 3*l - 49 = -118, 2*h = -3*l + 61. What is the greatest common divisor of 2 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/356357 and -31\/10681?\nAnswer: 3919927","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -126*-4\nAnswer: 504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c - 5*c - 4*c)*((-c**3 + c**2 - c**2)*(3 + 0 - 1) - 6*c**3 + 68*c**2 - 68*c**2).\nAnswer: 72*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 take away -5480.0126887?\nAnswer: 5479.9226887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (2 - (-11 - 2 - (7 - (34 - 1))))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 76 (base 10) to base 3\nAnswer: 2211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.593559 - -0.168?\nAnswer: -21.425559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6316180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 23. Let v = 55\/4 - r. Let l = -5\/9 - -19\/18. Which is greater: v or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 492 is divided by 68?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y. Let z be u(-2). Let m be 74\/14 + (-4)\/z. Let i = 9 - 12. Sort i, m, 0 in decreasing order.\nAnswer: m, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -313568472*a**3 + 102606229*a**2 + 2*a?\nAnswer: -1881410832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 6 + 3*s**2 + 3*s**2 - 3*s**2 - 4*s + s**2. What is the units digit of k(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + s**2 + 2. Let d be y(0). Suppose -11*w = -8*w - 6. Differentiate 4*t**d - 3*t**2 + t**2 + w*t**2 + 4 wrt t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 (base 12) in base 8?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109676, -109675, -109676, -109679, -109684?\nAnswer: -109691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -301946 - 2026248. Let i = l - -1250194. Round i to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 1. Let r(q) = 40*q - 8. Let v be ((-24)\/(-14))\/(((-185)\/(-1295))\/((-4)\/(-6))). What is v*m(i) + r(i)?\nAnswer: 32*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 25.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7470030.48 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -22343*q**2 + 5*q - 88. Let i be n(8). Round i to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**3 + 4*a**2 - 4. Let f(b) = -2*b**3 - 3*b**2 + 3. Suppose 1 = -u, -r + u = -2*u - 58. Let y be 70\/(-22) + 10\/r. Determine y*s(i) - 4*f(i).\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81383*o**3 - 59908*o**3 + 119749*o**3.\nAnswer: 141224*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-163750)\/(-15) - (2\/(-9) + (-230)\/207) a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 4, 5608 in descending order.\nAnswer: 5608, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 43*s + 1093. Let j be q(31). What is the greatest common factor of j and 2369?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 189891 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/(6\/(-50128)) - (31 - (17 - -7))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13\/5 in 0.1, -5, -13.098?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4985 divided by -95279?\nAnswer: -4985\/95279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 + 6*t + 10. Let s be i(7). Solve s*h + 12 = -3 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -5)*-3*512\/(-2). Suppose -g = -11*h - 311. List the prime factors of h.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 23\/5, -2\/3, 2, -12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of i**5\/20 + i**4\/4 - i**3\/6 + 17*i**2. Let q = -11 + 17. Is b(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b. Let t(l) = -12*l**2 - 2*l - 6. Let q(o) = -12*o**2 - 3*o - 5. Suppose 0 = -46*f + 59*f + 65. Let y(w) = f*t(w) + 6*q(w). Give y(s(i)).\nAnswer: -12*i**2 + 8*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 904079*b*j**2*l - 39*b*j**2 - b*l + 6219*b - j**2*l + 5*j*l + 2*j + 18*l + 1 wrt j.\nAnswer: 1808158*b*l - 78*b - 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30) + sqrt(270)*-5)\/sqrt(6) + (sqrt(125)*1 - sqrt(5)) + (sqrt(55)\/(-1*sqrt(11)))**2.\nAnswer: -10*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {j: 2, n: 8}?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 1. Let j(x) = 5*x - 2. Let r be j(5). Suppose -3*g + r = -5*z, -z - 4 - 5 = -5*g. What is the units digit of p(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0 (b) -9\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1695\/(-210) - -2*2 and (1\/(-24))\/(2\/(-164))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 768 = -5*v, -33*v + 37*v - 510 = -2*j. Calculate the remainder when j is divided by 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4 + 97*t**3 - 293*t**2 - 990*t = 0. Calculate t.\nAnswer: -2, 0, 11\/2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9527.19898 - 0.01.\nAnswer: -9527.20898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*w**3 - 2*w**2 + 37*w**3 + 22*w**3 + 2*w**2.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4*(35\/(-15) - 5\/(-15)). Does -44\/45 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 721 and 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.08241 - 0.21759. Which is the fifth biggest value? (a) 6 (b) 4 (c) 22 (d) s (e) -4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q + 2 - 2)*(2*q**4 - 3*q**4 + 3*q**4 + (0 + q**3 + 0)*(q - q - 5*q)).\nAnswer: -3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h**2 - 40*h - 133. Let i be b(23). Let w(q) be the second derivative of -1\/4*q**4 + 27\/10*q**2 - 3\/100*q**i + 16*q + 0 - 3\/10*q**3. Solve w(m) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619 a factor of 4364350879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 3*z**2 + 4 - 2*z**2 + (-z**2 + 4*z**2 - 2*z**2)*(0 + 0 + 2).\nAnswer: 3*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15376?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -992*n - 2. Let d(t) = 5*t. Calculate 2*d(w) - z(w).\nAnswer: 1002*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -15*a**3 - a + 1. Suppose 14*q - 43 = -29*q. Determine b(q).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 66534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 d when two letters picked without replacement from {b: 2, y: 2, n: 1, d: 1, z: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (546\/(-35))\/((-2)\/60). Suppose 4*l - 2*j = j + 369, -5*l + f = 3*j. Suppose 4*k = l + 3. Calculate the remainder when 46 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**3 + 12*m**2 + 5*m + 79. Let f be n(-6). Suppose -47*i - 54 = -f*i. Solve 4*g = -7 + i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180979668?\nAnswer: 2, 3, 59, 139, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 68866 and -19.0501582.\nAnswer: 68846.9498418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 minus -0.006040194?\nAnswer: 0.106040194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 194 - 52959*f**3 - 52776*f**3 + 105737*f**3.\nAnswer: 2*f**3 + 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, 2\/5, 3\/329, 0.03.\nAnswer: -0.21, 3\/329, 0.03, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*o - 308 - 316 - 310 + 1276 - 342.\nAnswer: -70*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -534 - -14?\nAnswer: -520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**2\/2 + 1. Let v = 4 - 2. Let h(j) = j - j - j**v. Give k(h(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*p + 2*p - 84 = 13*p for p.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7361, -7352, -7343?\n\"Answer: 9*x - 7370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1.2, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7216 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4264 - 3054?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 2) to base 9\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -n**3\/3 - 3*n**2 - 6*n + 531. Let j be 60\/8 + (-3)\/2. Let k = 1 - j. What is g(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -567*o + 685. Let v(h) = 1131*h - 1367. Let i(w) = 4*v(w) + 9*x(w). What is the derivative of i(m) wrt m?\nAnswer: -579","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17724 and -0.4.\nAnswer: -7089.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*l**2 + 3\/4*l**5 + 0*l + 7\/4*l**3 + 0 - 2*l**4.\nAnswer: l**2*(l - 1)**2*(3*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.4 (c) -3 (d) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011111101110001101 (base 2) in base 7?\nAnswer: 5363231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k + 5*n - 15 = 34*k, 35 = k + 5*n. Solve 0 = k*g - 15*g - 25, g = r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1138 - 23*s - 1138)*(-70*s - 70*s + 25*s).\nAnswer: 2645*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-5)\/f*f)**(-3\/16) assuming f is positive.\nAnswer: f**(15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -582 + 585. Solve 24 - 12 = -i*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*l - 4*l + 2484. Is l a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -23, -47, -91, -161, -263, -403?\n\"Answer: -q**3 - q**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**2 + 29*t + 60. What is the least common multiple of d(-32) and 48?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -174*w. Let t(c) = 7*c**2. Calculate t(g(h)).\nAnswer: 211932*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 294 = 7*s. What is the remainder when s is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 75278663 to the nearest integer?\nAnswer: 8676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 60054 + -0.11\nAnswer: 60053.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 119 in 12, 4, 2\/17, 2, 5?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4600 is divided by 2294?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyygyyyggyyyyyyyygy. Give prob of sequence yygy.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 283723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 - -1) + (-2)\/(-2). Let j be (-6)\/h*(-590)\/4. Suppose 0 = p - j + 32. Is p a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 26325 and 15525?\nAnswer: 605475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1510310 and 722.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/2292 and -37\/12.\nAnswer: 2292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/35 (b) 3 (c) 63 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 - 3*j + 2. Let b be q(2). Suppose 0 = 1526*i - 1631*i + 210. Solve -i = f - 2*u, -2*f - 1 = 3*u - b for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -71462 less than -166418?\nAnswer: -94956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 10*w - 16. Let y be i(-3). Let j = -3 + 3. Let b(o) = -o**3 + 6*o**2 + 8*o + 3. Let r be b(7). Solve -y*f + r*f = j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3865 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16 and 38467?\nAnswer: -615472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - 0.1. Let v = -396477.16 + 396477. Which is the smallest value? (a) u (b) v (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 3*k**2 - 6*k + 4. Let r(g) = -g**3 + 7*g**2 + 9*g - 2. Let o be r(8). Suppose 0 = t + h - 9, h = 4*t - h - o. What is b(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2771, 5511, 8221, 10901, 13551, 16171?\n\"Answer: -15*x**2 + 2785*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30.3 - 29. Let n = 12.3 - r. Let p = n + -10.9999965. What is p rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o - 1. Let f be (-2)\/1 - (-43 - -4). Suppose 3*g = 5*i - 11 + f, -4*i - 20 = -2*g. Let r be v(i). What is the second biggest value in 1, r, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 - 8a6a0?\nAnswer: -8a699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35466 - 0.2092436?\nAnswer: 35465.7907564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 923*o + 5 + 1386*o + 1351*o + 5027*o - 3.\nAnswer: 8687*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -50652450 divided by -1550\nAnswer: 32679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1099 times 0.4\nAnswer: -439.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -996\/5 >= -198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 6:33 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/7? (a) -4 (b) 2 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/7? (a) 3\/8 (b) 2\/17 (c) -4 (d) -2\/5 (e) 858\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -1 - (-12 - -8)) + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -120*b**4 - 3*b + 122*b**4 - 4*b**2 + 2*b**2 in the form p*b**2 + n*b + c*b**4 + v + g*b**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide -612*((-21)\/49 - 5\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((-6)\/2 + 4) - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are 19097090 and 19097086 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -31. Let i(a) = -10 - 74*a - a**2 + a**d + 9*a**2 + 52*a. What is the units digit of i(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**7\/280 + y**4\/24 + 2*y**3\/3 - y. Let o(p) be the second derivative of r(p). What is the derivative of o(u) wrt u?\nAnswer: 9*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47, 365, 1481, 3655, 7241, 12593?\n\"Answer: 59*s**3 - 2*s**2 + 5*s - 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 6:45 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/2)\/(18\/(-1359)). Let p = z + -77. Suppose s = k - 116, -4*s + p + 27 = k. Is 25 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 4\/9 (b) 1\/3 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*sqrt(500) + 2))**2 + (((sqrt(245) - 1*sqrt(245)) + 1)**2 - (1 + (0 + sqrt(245) - sqrt(245))**2)).\nAnswer: -4320*sqrt(5) + 162144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -107, 130, 1, 4 in decreasing order.\nAnswer: 130, 4, 1, -3, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000565 to 5 decimal places.\nAnswer: -0.00057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108413 is divided by 1372?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (15\/3)\/((-66)\/(-33))\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000102285911 to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 149 and 243699483.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by 81?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1569316663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.15, 2, 5\/8, 7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 10*d + 2. Let k be h(-11). Suppose 4*g + a - 15 = 9, -g + k = 2*a. Suppose -7*l = -3*l, -g*n = 3*l - 110. Does 8 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**2 - 1249608*t - 97595009604 = 0. What is t?\nAnswer: -156201","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.3355 * 0.326\nAnswer: 0.109373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 19*l**2 - 9*l - 1. Let z(i) = -20*i**2 + 10*i + 1. Calculate -2*c(g) - 3*z(g).\nAnswer: 22*g**2 - 12*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from xvbzlzbnbzzzzvbb?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27971\/6 + -4679. What is the common denominator of -55\/1416 and x?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**3 + 53*s**2 + 3*s - 5 wrt s.\nAnswer: -6*s + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21720, 43284, 64680, 85908, 106968?\nAnswer: 127860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73839 is divided by 1846?\nAnswer: 1845","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 46, 3, 297 in descending order.\nAnswer: 297, 46, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yaryabt. What is prob of picking 1 t, 1 b, and 1 r?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -137*d + 84*d + 39*d + 69*d - 2 + 42*d to a + h*d and give h.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 2*y - 16. Suppose -2*r = -p + y*p - 21, -3*r = p - 21. Is 4 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o + o - 240 = 23*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t = 5*a + 17, -7*a + 10*a + 2*t = -7 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -0.1, -2, -8, 1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14773 - 14187. What is the remainder when v is divided by 96?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (18\/5)\/((-276)\/(-920))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -53, -103, -157, -209, -253, -283, -293, -277?\n\"Answer: j**3 - 8*j**2 - 33*j - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-5 + 5) - (3 + -19)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -23 + 23 - 11*p in the form w + u*p and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -22*q + 1374. Let w be u(35). Solve w*d - 601*d - 12 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3 - 1008154*a**2.\nAnswer: -2*a**2*(a + 504077)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0141 rounded to two dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1823?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - o + 1, -13 = 1780*t - 1781*t + 3*o for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((2 + (sqrt(432)*-1 - sqrt(432))*1)*-1)**2 - ((sqrt(432) + 2*sqrt(432) + 1 + -3)*4)**2).\nAnswer: -11040*sqrt(3) + 302700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -7) + 0 + (2 - -2) - -7?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b\/b**(1\/5))\/b*b\/(b*b**(-2\/29)) assuming b is positive.\nAnswer: b**(126\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -7*h**6\/24 + h**5\/20 + h**4\/3 + h**3 - 15*h**2. Calculate the least common multiple of 24 and i(-1).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = m - 2*q, -q - 1 - 1 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 3*h**4\/8 + 2*h**3\/3 - 25*h**2 + 2. Let k(a) = 17*a + 7. Let c(f) = f**3 - 5*f**2 - 5. Let y be c(5). Give y*q(i) + 3*k(i).\nAnswer: 6*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 11 + -11 - -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**5\/20 - c**4\/3 - c**3\/6 - c - 2. Let x(i) be the first derivative of q(i). What is x(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 158620.9527 nanoseconds to weeks.\nAnswer: 0.00000000026227009375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 3 = -4*i, -4*n - 5*i - 7 - 5 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.14243 + 0.04243. What is the nearest to 125 in -1\/3, 0, s, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1514\/63 < -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g. Let u be r(-1). Suppose -u - 11 = -2*j. List the prime factors of j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - x - 5*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 14*o**2 + 4*o + 11. Let g(i) = -3*i**3 - i**2 + 4*i + 4. Let d be g(-2). Is x(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-44)\/(-110))\/(-1 + 14\/10). Let o = 7 - 4. Let y = -8 + o. Which is the smallest value? (a) j (b) -2\/13 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*q = -19*q. Suppose 2*s - 270 = -v, q*v = v - 3*s - 270. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6349*a - 8447*a + 23511*a.\nAnswer: 21413*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78898?\nAnswer: 2, 103, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4582*33.\nAnswer: 151206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + -100?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 21. Let g be (d\/4 + -3)*-20. What is the greatest common factor of g and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 0*u + 2*u + 1202, -u + 488 = 2*f. Let s = f + -243. Sort -2\/7, 5, s, -13 in increasing order.\nAnswer: -13, s, -2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 750 = 5*l + 8*x, -2*x = -6. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -1. Let b = n - -15. Differentiate -2*i**4 - b - i**4 + i**4 wrt i.\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -4, -5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.06 + -0.36. Let y = 102355 - 102342. Put 5, n, y in ascending order.\nAnswer: n, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -161 - -164. Suppose 4*s - 13 = -c + 2*s, p*c + s - 14 = 0. Solve 6*x - 4*x = -c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + y. Let w(k) = -14*k**3 - 5*k**2 - 2*k. Let b(z) = 5*n(z) - w(z). What is the second derivative of b(a) wrt a?\nAnswer: 84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 65, 96, 151, 242, 381, 580?\n\"Answer: 2*g**3 + 17*g + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5416*c**2*x**3 - 3*c*x**3 + 2*x**3 - 17*x - 46 wrt c.\nAnswer: -10832*c*x**3 - 3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -130? (a) 250 (b) 2\/3 (c) -0.4 (d) -0.5 (e) -17\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 19. Suppose 0 = 5*s - 3*s - 604. Let n = s + -214. What is the greatest common factor of v and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/311315 and 93\/26216?\nAnswer: 2490520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/2986085 and -41\/3680148.\nAnswer: 680827380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {s: 5, d: 2, n: 3, w: 2}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-279)\/(-54)*-18*(60\/9)\/(-10)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + x + 3*x + 19, -4*w + 11 = x. Let a be w\/(2\/(4\/2)). What is the derivative of a*k - k**2 + 1 - 3*k wrt k?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozzooovwoozq. Give prob of picking 3 z and 1 o.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**3\/3 + 5*o**2\/2 - 7*o + 57. Give y(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (3 - 5) - (-6 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**1*(x\/x**1)\/x*(x*x\/(x**(1\/4)\/x))**34 assuming x is positive.\nAnswer: x**(189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c + 1. Let q be b(4). Suppose -q*x + 100 = 5*j, 4*x - 3*j + 2*j - 100 = 0. Let v = x + -19. Is v a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 131919745 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in fourty-two fifths of a microgram?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 61*t**2 - 448*t - 3848. What is j(-5)?\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 19058*n - 514578. Give g(27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t**2 - 6*t + 6*t)*(3*t + 8*t + 8*t)*(t - 2 + 2) as n*t**4 + z*t**2 + m*t + x*t**3 + p and give n.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 124. Let m be p(0). Suppose -2*t - m = -3*t. Is t a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {h: 3, s: 4, b: 4}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 104475508 and 3688?\nAnswer: 1844","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of 0*a**2 + 2 + 1\/18*a**3 - 1\/6*a. Factor y(d).\nAnswer: (d - 1)*(d + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -208 + 203. Let z = -215371\/108 - -1994. Let n = -1\/108 - z. Which is the biggest value? (a) n (b) w (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -22, -0.3, -9871, 1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -334 - 3*x - 3*x + 7*x + 341. Suppose -2*f = -6, 4*g - f + 2*f = -9. Let b(r) = r. Let i be b(g). Give q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -880, -888, -910, -952, -1020, -1120, -1258?\nAnswer: -1440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (26*v + 10*v - 6*v + 2)*(3*v - 3*v + 2*v)*(3578*v - 5 + 4 - 3744*v) to the form m*v**2 + z*v**3 + p*v + g and give m.\nAnswer: -724","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:47 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -974142*g*i*k**2 + 6*g*k**3 - 11329*g*k + 2*i*k**3 + 4*k**2 wrt i.\nAnswer: -974142*g*k**2 + 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -60*q - 292. Let m be r(-5). Suppose -2*o - m = -2*c, -4 - 7 = -2*c + o. Suppose i + 2*i - 21 = 0. Is i smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 5*n**3 - 5*n**2 + 2. Let q(c) be the second derivative of c**5\/20 - c**4\/12 - c**3\/6 + c**2\/2 + c + 5341. What is 3*q(t) - z(t)?\nAnswer: -2*t**3 + 2*t**2 - 3*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 20 (b) -11 (c) 0.44 (d) -8 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 16*t**2 + 16*t - 21. Let d be q(15). Let x = d - -5. Let i be (-14)\/5 + (-2)\/x. Which is the nearest to 0? (a) -0.5 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 11*w**2 - 2*w - 2*w.\nAnswer: 11*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -5*l + 104. Let i = -3 + l. Let y(q) = 3*q**2 - q + 1. What is the least common multiple of y(1) and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 3*o - 10 = 0, -u - 2*o - o = 2. Suppose g + 2*p + 2 = 4, -2*p + u = 2*g. Suppose g*k - 128 = -2*k - 4*r, -r - 160 = -5*k. Is k a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -k + 42, 4*s + 4*k - 90 = -42. Solve -3*d = -s*d - 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -759018 divided by 6\nAnswer: -126503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/(-87))\/((-406)\/116)\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of -3*c - c**2 + 0 - 1\/60*c**5 + 1\/24*c**4 + 0*c**3. Let p(v) be the first derivative of y(v). Find o, given that p(o) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + k**2 - 1)*(-4471 - 28*k + 4471).\nAnswer: -28*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7677*s - 7711*s = -68 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 686 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112102 - 1012110112?\nAnswer: -1012222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2739780 plus 1727044?\nAnswer: -1012736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/112*(-1 + (-4)\/(-12)). Let p(u) be the first derivative of 4 + 2\/7*u**2 + 0*u - 2\/7*u**3 + c*u**4. Factor p(a).\nAnswer: 2*a*(a - 2)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 18*d + 6. Let w be c(5). Suppose 3*i + 36 = 4*i. Suppose -x + 4*x - i = 0. Calculate the highest common factor of x and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5277551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(171)\/(-6*sqrt(18)\/sqrt(2)) + ((sqrt(152)\/((sqrt(8) - sqrt(32)\/sqrt(4)) + sqrt(8)))**2 - sqrt(19)) + sqrt(171)*-1.\nAnswer: -25*sqrt(19)\/6 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -514\/303 + 3\/101. Let j be 1\/(-5) - (-11)\/(-55). Let d = 1 + -0.6. Which is the nearest to -0.2? (a) j (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9815312 to the power of 1\/3, to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12c03 (base 13) to base 8.\nAnswer: -104252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18472, -18470, -18468, -18466?\nAnswer: -18464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -14*s + 93. Suppose 2*j = -4*q - 64, -2*j - 53 = -2*q + 11. Is f(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1152 + 1156. Let t(o) = -2*o**2 - 3*o + 6. Calculate t(r).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -38*g**2 + 7*g - 31*g**2 - 2*g + 71*g**2 - 80. What is the remainder when 87 is divided by k(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - u + 1. Let d(m) = -7*m**2 + 11*m + 11. Let n(k) = d(k) + 6*v(k). Let c be n(0). Put 2\/3, c, 4 in decreasing order.\nAnswer: c, 4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**4\/4 + k**3\/3 - k**2\/2 - 14*k + 4. Suppose 60 = -23*y + 33*y. Suppose y*n = 1 - 1. Calculate z(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/6 of a year?\nAnswer: 34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2449755.92 rounded to the nearest one hundred thousand?\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 >= 47990644?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 6*g**2 - g**2)*(-2*g + 2*g - 2*g**2) - 2*g**4 + 12*g - 12*g + (5*g**4 - 3*g**4 - 3*g**4)*(-3 - 1 + 3).\nAnswer: 9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**4\/4 + 45*p**3\/4 - 117*p**2\/2 + 120*p - 72 = 0.\nAnswer: 1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.348 - 0.248. What is the closest to m in -5, -2, 84?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 85, 29138, -3, 5.\nAnswer: -3, 0, 3, 5, 85, 29138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 121, 1\/4, 1, 5, 2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/236952 and -23\/219078.\nAnswer: 961314264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -6*o**2 - 5*o**3 + 2*o**2 + 3*o**3 - 2*o**2. Let n = 910 + -904. Let h(v) be the second derivative of -v**4\/12 + 25*v. What is n*h(f) - a(f)?\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7024572, 7024596, 7024638, 7024698, 7024776?\nAnswer: 7024872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -50.6715*0.26.\nAnswer: -13.17459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 172, 132, 80, 10, -84?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxtxkxtttxxxkxxt. What is prob of sequence kkx?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -230*p**5\/3 + 7942*p**4\/3 + 50672*p**3\/3 - 7480*p**2\/3 - 88288*p + 11520 = 0.\nAnswer: -4, -18\/5, 3\/23, 2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 43 + -35. What is the common denominator of ((-6)\/16)\/(72\/1648) and (-574)\/(-48) - h\/(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 7*r**2 - 12*r - 11. Give k(-7).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 86*n**2 + 193*n + 16598. Calculate x(-86).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 783 and 785 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i - i)*(0*i**2 - i**2 + 7*i**2) - 5*i**3 + 0*i**3 + 4*i**3.\nAnswer: -19*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2006 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*c**2 + 74*c - 20.\nAnswer: -2*(c - 5)*(7*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*208\/168 - 2\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 13*f + 11. Let w = -11 + 17. Is n(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -5) + 3 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 1161202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2974, 5804, 8648, 11506, 14378?\n\"Answer: 7*n**2 + 2809*n + 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6583841, -6583839, -6583835, -6583829, -6583821, -6583811?\nAnswer: -6583799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let j be 158075\/575 + 2\/23. Calculate the greatest common divisor of 44 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 5*b - 6 = -3*v, b - 22 = -5*v. Let x be ((-14)\/(-28))\/(1\/4). Solve 0 = -x*c + v*c - 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**2 - 11*k. Let r(x) = -2*x**2 + 5*x. What is 7*r(q) + 3*y(q)?\nAnswer: -2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 129\/15 - (-63)\/(-105)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.289364 - 5.\nAnswer: 38.289364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(1\/2))**(-5\/6)*k**(6\/5)*k\/(k*k**(-4)))**(-19) assuming k is positive.\nAnswer: k**(-1501\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 18*s**4 - 16*s. Let u(d) = 2*d**2. Give w(u(i)).\nAnswer: 864*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -311 - -308. Let j(q) = -q**2 + 5*q + 5. Let t be j(6). Let w be (t - -2) + (-2)\/(-4). Which is the second biggest value? (a) k (b) 5 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c*c\/(c*c**8))*c))\/(c*c**6\/c*c))\/(c*c\/(c**1\/c))**(4\/33))**(1\/6) assuming c is positive.\nAnswer: c**(-503\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 4*z - 5*n, 3*z + 3*n - 36 = 0. Does 3 divide 50\/z - (-1)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2 + 12*s - 8. Let f be a(10). Suppose 2*h + 2*h - f = 0. Let y be (-15)\/h - 1\/(-2). Is 1 > y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 5*j - 5*l, -2*j + l = -4*l - 40. Let v be ((-12)\/j)\/(2\/(-10)). Solve v*g - 1 = 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 802692, 802944, 803196, 803448, 803700, 803952?\n\"Answer: 252*r + 802440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69452 is divided by 13878?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -319 = -4*a - 311. Let 0 - 3\/5*n**3 - 3\/5*n**a - 1\/5*n - 1\/5*n**4 = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:04 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 40 = 4*b - 0*b, 0 = 5*w - 20. Is 3\/2*(-16)\/b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 365720.\nAnswer: 2, 5, 41, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -10*b**3 + 2*b**2 + 4*b - 1. What is q(2)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 188, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2322122120 (base 4) to base 14\nAnswer: 15c38c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23038006 divided by -794414?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-800)\/136 + (-2)\/17. Let j = 46 + -28. Calculate the remainder when 420\/8 + i\/4 is divided by j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Find the first derivative of 4*a**4 - 5 + 4*a + v - 4*a wrt a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -34*t - 83. Calculate j(-3).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -26*n**5\/5 - n + 11. What is the derivative of j(m) wrt m?\nAnswer: -104*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*o**3 + 5*o + 14*o**3 - o - 36*o**3.\nAnswer: -106*o**3 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12085?\nAnswer: 5, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -32*l**3 + 5*l**2 - 12. Let z be f(-3). Suppose -13*o = z + 2509. Which is greater: -261 or o?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = -6*o - 3*p, 5*p = o - 2. Suppose -o*l = 3*l + 15. Let w(t) = -3*t. What is the units digit of w(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/189 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 0.2, -920\/9, 3, 1 in ascending order.\nAnswer: -920\/9, 0.2, 1, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h - 7. Let r be c(6). What is the tens digit of ((-5)\/5)\/(r\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -34132318416 and 6895.\nAnswer: -34132311521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.15 less than or equal to -201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (3 - (-22 + 14)) + 2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -204 + 693?\nAnswer: 48a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 561 and 10506.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rlv when three letters picked without replacement from vkrlkjw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.04, -4, 3\/1412, -7\/16?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -202 - 1103?\nAnswer: -1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32605084 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6576.68 rounded to the nearest 10?\nAnswer: 6580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/54)\/((-2)\/(-6))*4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**3 - 164*u**2 - 518*u + 680 = 0.\nAnswer: -4, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a**2 - 2*a + 1. Calculate the lowest common multiple of 4 and q(3).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 17. Let z = -19.9 - l. Let t = -0.2 - 0. Which is the closest to t? (a) 1\/3 (b) 1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 227 - 227. Let t = -2180\/3 + 774. Let z = t - 47. Which is the third biggest value? (a) 2\/9 (b) w (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -4*l**3 + 6*l**2 + 6. Let f(t) = -t**3 + t**2 + 1. Let o = -4 - -12. Let s(d) = -d**3 + 7*d**2 + 14*d - 42. Let u be s(o). Determine u*f(h) - x(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 11*k. Let w = -7 - -10. Suppose -w*f + 54 = 3*f. What is the units digit of b(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12064 is divided by 81.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 + -107. Solve 2*m + r = 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -4. Suppose s + k = 13. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2099*w**3 + 2*w**2 + 8*w + 107.\nAnswer: -12594*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4108 and 104.\nAnswer: 8216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s + 2. Let d = 113 - 112. Sort s, d, -3 in descending order.\nAnswer: s, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 2 - -2 - (-3 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23.6 + 29. Let k = d + -12.2. What is k rounded to 0 dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, -10\/11, -0.9, 0.1, -22 in descending order.\nAnswer: 1\/5, 0.1, -0.9, -10\/11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 5*v**3\/6 + 2*v. Let p be i(4). Let a be -1*3*p\/(-15). Solve -b + a = 8 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 o when three letters picked without replacement from {p: 2, g: 6, w: 1, o: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 + 27 - 27.\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + (7 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/805 - 1619\/2415. Let n = -116 + 111. Which is the closest to 0.2? (a) q (b) 0.73 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -104.91635 + 103.0163512. Let c = 1.9 + y. What is c rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 14718 = 4*q - 74611, 59550 = 2*o + 4*q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40703*l**2*v**4 + 8389260*l**2*v**2 - 968*l*v**4 + 6*l*v**2 + l*v wrt v.\nAnswer: -976872*l**2*v - 23232*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66881567 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 113609*2\nAnswer: 227218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.92 times 8.18519\nAnswer: 7.5303748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a (base 11) in base 12?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*j**2 - 22*j**2 + 44*j**2 - 223*j**2 + 29*j**2 - 17*j**2.\nAnswer: -129*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, 3, -9688 in decreasing order.\nAnswer: 4, 3, 2, -9688","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.871 + 0.971. What is the third smallest value in -0.1, 17.9, j?\nAnswer: 17.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-6)\/((c*(c*c**(-1\/3))\/c*c)\/c))\/(c\/(c*c**16)*c*c*c**(1\/10)*c))**(-12) assuming c is positive.\nAnswer: c**(-374\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 35 = 227. Is 50 > d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -32\/5, -0.9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - 8. Let c = x - -3. Suppose 4*r + 32 = 12. Sort c, r, -1\/7 in descending order.\nAnswer: c, -1\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-710010)\/(-175) + (-12)\/10 is divided by 313?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51421764.\nAnswer: 2, 3, 4285147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-2)*(-14)\/(-21). Which is the closest to -0.4? (a) -0.1 (b) l (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 51 + -1 + -3. What is the highest common factor of 30 and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.5 - 1.8. Let r = -0.7 + v. Let q = 3 - -1. Which is smaller: q or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**2 + 54*x - 716. Calculate o(23).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*m + 97*m = 4532. Solve m - 205 = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1 + sqrt(170))\/sqrt(10) - ((sqrt(68)\/sqrt(4))**2 + -1)) + 0 + 1 + sqrt(17) + -5.\nAnswer: -20 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**4\/3 - 16*b**2 + b + 13. Let q(j) be the first derivative of p(j). Let v(l) = 4*l**2. Calculate v(q(m)).\nAnswer: 256*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 22 = -0*l. Suppose -z = l*z + 3*x - 12, x - 20 = -5*z. Let d = 33 + -23. What is the least common multiple of z and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 + 87\/4. What is the nearest to 0.1 in 0, 2\/3, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77077 + -2?\nAnswer: 77075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 196.802349 + -196.8. Round q to five dps.\nAnswer: 0.00235","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + y - 2. Let s = 3 - 3. What is q(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-11 + 22 - (-6 + 10)) + -59?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 594.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 23*a + 92. Let r be x(5). Solve r*f + 4 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 25*y - 38 - 13*y + 53*y.\nAnswer: 59*y - 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 372 a factor of 2988616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a factor of 112750859?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -501 + 818. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 18 = 2*x - 29, -26 = -2*r + 4*x. Suppose -181 + 19 = -3*q. Let a = q - 26. Calculate the remainder when a is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 4 + 1 - 1 + 45*z.\nAnswer: 45*z - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1735*i - 1735*i + 4*i**2 + 2 as s*i + l + m*i**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 6*c = 1. Sort -4, -1, c in decreasing order.\nAnswer: c, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 571*j - 49. What are the prime factors of f(5)?\nAnswer: 2, 23, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6\/113, -0.1, -6, 1783, -3 in decreasing order.\nAnswer: 1783, -6\/113, -0.1, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 11 - 27 + 0*w + 13 - w**2 - 3*w. Let d be ((-9 - 16\/(-4)) + 2)*1. Let f be (-2)\/3*(0 - d). Calculate l(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 142892953?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*v**2 + 53*v**2 - 99*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2742*o + 17. Let h(x) = 4834161*x - 29970. Determine -29970*b(d) - 17*h(d).\nAnswer: -2997*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, x: 14}. What is prob of sequence xxxx?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -11. Let a be 4\/3*(-3 - h). Solve -5*q = -a*s - 11, -5*q + 11 + 2 = -2*s for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z - 5. Suppose 4 + 8 = 3*s, -4*s = 3*k + 2. Determine y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = k - 688. Let p = k + -1550\/9. What is the third biggest value in 4, 3, p, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -35 in increasing order.\nAnswer: -35, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5 = -2*y, -2*y + 14 = r + 3*r. Let q = 141 + -87. Let p = q + -54.2. Which is the smallest value? (a) 1 (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + (11 - (6 + 6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*n + 75271 = -8*n. Suppose -8*x + n = -15015. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/(-19) - 1)*(-37 - (-2599)\/69)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20231440?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/168 and 133\/9456?\nAnswer: 66192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20401.\nAnswer: 23, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18211, 36430, 54649?\nAnswer: 72868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 290643.783 - 290513. Let x = -131.4 + r. Let a = x + -25.283. Round a to the nearest integer.\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 18*t + 19. Let w be o(17). Suppose -3*v - 4*f + 0*f = -34, 0 = -w*v + f + 41. What is the smallest common multiple of 21 and v?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2676, 2652, 2612, 2556?\n\"Answer: -8*q**2 + 2684","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lddlllllllll. What is prob of sequence ldl?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 6 = -3*b - 45, -11 = -a - 2*b. Solve -3*u = 18 - a for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j - 3*j + j + (-1 + 0 - 1)*(46*j + 50*j - 75*j).\nAnswer: -41*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-43)\/1*(6\/(-4))\/((-1395)\/1860).\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2812 = -6*n - 3398. Is n equal to -1035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 11:25 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 14*a**2 + 21*a + 21. Let n be f(-1). Solve 0 = -11*q + n*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12*(-572)\/792)\/(((-2)\/3)\/1)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -296.6 - 0.1?\nAnswer: -296.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 divided by 30.\nAnswer: -29\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4 - 0, 3*l = -5*q + 27. Suppose 0 = -5*s + q*s + z + 157, 5*z + 329 = 4*s. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*v + 119*v + 5*m - 39 = 0, -4*m + 42 = 2*v for v.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 32*-2\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus 0.046410084235?\nAnswer: -5.046410084235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4704 + -2272. Let d = b - -906. Suppose 5*g - d = 38162. Round g to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.55 + -4.55. What is the biggest value in -2\/3, 5\/4, 2\/23, q?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + (sqrt(500) - (1*sqrt(500) + sqrt(500) + sqrt(500)) - sqrt(500))**2)*1 + 5 - sqrt(55)\/(sqrt(11) - -6*(sqrt(11) - sqrt(11)*-2))*1.\nAnswer: 189*sqrt(5)\/19 + 4505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -46\/3. Let k be -2 + 2 + 0 - 0. Let j = 5\/52 - 11\/13. Which is the nearest to k? (a) -1\/4 (b) m (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 23\/6*k**2 - 206\/3*k - 6 = 0.\nAnswer: -2\/23, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 40511 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3227605 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*w + 43*w - 231 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9187010323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**2 - 4283870*l.\nAnswer: -5*l*(l + 856774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let r be 13 + (273\/(-78))\/(30\/108). Let k = 0.6 - 1. Which is the closest to r? (a) 5 (b) 2\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 34*x + 1. Let n(o) = 168*o + 3. Give -22*a(m) + 4*n(m).\nAnswer: -76*m - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of ((-26884)\/(-130))\/(2\/5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/3 + (-470)\/(30\/6). Let u be n\/14 + 2 + -2 + 6. Which is the third smallest value? (a) -5 (b) 0.5 (c) u (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 30 * 73759.\nAnswer: 2212770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2887 and 11.24.\nAnswer: -3.244988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 148744 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 573 a factor of 312732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4633385, -4633358, -4633331, -4633304, -4633277, -4633250?\n\"Answer: 27*h - 4633412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 196. What is the remainder when 41 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = b - 15 + 8, -2*w + 1 = -3*b. Solve -7 = -8*d + b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -273271 (base 15) to base 13.\nAnswer: -50c5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = d - 52, -2035*c + 2030*c = 5*d - 160 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-3 - (-8 - 0) - (22 + -12)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/5, 5, -0.74, -0.04, -4?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -206*t + 211*t - 4*j + 12, -3*j = t + 10. Let z(k) = k + 14. Let m be z(-10). Sort m, 5, t, -1 in descending order.\nAnswer: 5, m, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (24\/(-10) - -1)\/(4\/(-10)). Let n = h + -1307\/374. Is n greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of 17*n**4\/12 + n**3\/3 - 3*n**2\/2 + 15*n. Is 8 a factor of p(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 + -2 - -2) + -6. Let l = -286 - -826\/3. What is the common denominator of ((-18)\/12)\/(k\/(-134)) and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -644, -5928, -14744, -27092, -42972, -62384?\n\"Answer: -1766*z**2 + 14*z + 1108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27 + 41. Let l = 0.272 - 0.472. Sort t, -3\/8, l in ascending order.\nAnswer: -3\/8, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -55*k + 401. Let m(f) = -19*f + 146. Determine 17*m(r) - 6*s(r).\nAnswer: 7*r + 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 4 - (-5 + (0 - -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(0\/3 + 1). Let d(o) = b + 6 + 6*o**2 + o - 5*o**2. Let m be 0 + (-2 + 0 - -2). What is d(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 8) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14020057627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 3*l. Suppose 3*x - 48 - 21 = l. What is the highest common divisor of x and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 9*c**2 - 5*c. Let t(i) = 14*i**2 - 8*i. Let b(j) = 8*h(j) - 5*t(j). Let r(w) = -w**2. Let a(p) = 4*p**2. Let o(s) = a(s) + 2*r(s). Give o(b(z)).\nAnswer: 8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/5 - 696*f\/5 + 1408\/5.\nAnswer: -4*(f - 2)*(f + 176)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4375 and 175?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*l - 72, 0 = 27*v - 25*v - 3*l - 36. Solve 3*x - 9 = v*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 8:49 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*r + r = -6, -2*h = 2*r - 6. Suppose 0 = -y - 3*d - 7 - 23, -4*y - 4*d - 80 = h. What are the prime factors of (24\/y)\/2*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide ((-66)\/(-8))\/(39 - (-290465)\/(-7448))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 59859, -0.4, -1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffxfxwf. Give prob of picking 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 34\/11 and -115\/246.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t**2 - 670*t + 3242. Determine b(5).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80\/84 + (-16)\/24.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -89579 - -89479.9672. Let b = -99 - m. Let s = -0.022 + b. What is s rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 10\/401 (b) 3 (c) 2\/3 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58323426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 8*a + 7546 = 3*a, -3*a = 6. Suppose -2*r + x = 2508. Sort 407, 3, -4, r.\nAnswer: -4, r, 3, 407","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 31*g. Let i(b) = 29*b - 14*b - 36*b**2 - 5*b - 3*b - 6*b. Calculate k(i(h)).\nAnswer: -1116*h**2 + 31*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23211776?\nAnswer: 2, 7, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of -4945*n**4\/4 - 415*n**2\/2 - 4032. Find the second derivative of g(p) wrt p.\nAnswer: -29670*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -39 * 12.\nAnswer: -468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 14\/3, 5 in descending order.\nAnswer: 5, 14\/3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 2*o - 20, -5*m + 55 = -2*o + 7*o. Let q = 7 - m. Solve 5*u - 14 = -2*r, -3*r = -3*u + 5*u + q for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -637254 - 0.4.\nAnswer: -637254.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 10*k**2 + 27*k + 35. Calculate the remainder when z(8) is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.4, 52, -2\/11, 0.7 in descending order.\nAnswer: 52, 0.7, 0.4, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 3:32 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -45, -0.2, 0.4, -1\/32, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 21138544 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004835 rounded to seven dps?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7cd (base 14) to base 2\nAnswer: -11000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 + q**2 + 16. Let n be z(0). Let i be 6\/(-4)*n\/12. Suppose -11*y - 2*y = -52. Which is the smallest value? (a) -2\/15 (b) y (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -5*u - 4. Let r(v) be the third derivative of v**4\/4 + 5*v**3\/6 - 13*v**2 - 5*v. What is -5*a(g) - 4*r(g)?\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:26 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3038 divided by -1519\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 7:27 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 10) to base 12\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2335995?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2246*q + 2*q**2 + 2*q**2 + 2*q**3 + 2234*q)*(-q - 2 + 2 - 3*q + 3*q + q + (0 + 2 - 4)*(3 + q - 3)).\nAnswer: -4*q**4 - 8*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9349.2959 rounded to the nearest ten?\nAnswer: 9350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18089*u**5 + 37*u**4 + 4*u**3 - 18407566*u wrt u.\nAnswer: 361780*u**3 + 444*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 53384 and 96.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/4 of a second in milliseconds?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3 + 28935*o**2 - 209323023*o + 209294089.\nAnswer: -(o - 14467)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 282111456?\nAnswer: 2, 3, 11, 463, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -664*m - 2744. Calculate the least common multiple of a(-9) and 128.\nAnswer: 12928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2128 = 3*p + 4*r - 9*r, -2*p + 5*r = -1422. Suppose 4*x - p = 2*z - 0*z, 3*x + 3*z = 525. Is x a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -3.65, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 119 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 4*x**3 - 4*x**2 + 6*x. Let j(h) = 3*h**3 - 3*h**2 + 5*h - 1. Let t(l) = 3*j(l) - 2*u(l). What are the prime factors of t(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 i when three letters picked without replacement from iywwiiqpqiyipiy.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3922 + -3914. Solve s*j = 39 - 23 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 98, 77, 78, 113, 194, 333, 542?\n\"Answer: 2*c**3 - c**2 - 32*c + 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*h**3 - 117 + 234 - 117 - 81*h**3.\nAnswer: -123*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 902000 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 362896987?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 21*p + 81. Let f be k(-16). Let i(t) be the first derivative of -2\/5*t**2 + 1\/5*t**4 + f - 1\/15*t**3 + 1\/5*t. Suppose i(d) = 0. What is d?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -54.1 - -52. Let u = -24983.0789 + 24980.97890002. Let g = u - x. Round g to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3281 by 3281.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 + 8*m**2 - 8*m + 17. What is j(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1463484 and 660.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((y + 9*y - 3*y)*(8 + 1 + 1) - 11*y + 9*y - 22*y)*(0 + 0 - 2) to t*y + j and give t.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4254581 rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - f - 4)*(2 + 7 - 1)*(2 + 1 - 5).\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 28.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -200 and -17.\nAnswer: 3400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17943? (a) 4 (b) -1 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, b: 6, j: 4}. Give prob of picking 1 b and 2 j.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 875 or 204661\/234?\nAnswer: 875","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/12)\/(10\/4))\/((-1172)\/2637)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-878)\/(4 - (63648\/(-2787))\/(-6)). Let q = 4531 + l. What is the common denominator of 9\/110 and q?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 19*r**2 - r - 17. Let v be l(-19). Let -s + 1\/2*s**3 - 5\/4*s**4 + 1\/4 + s**v + 1\/2*s**5 = 0. Calculate s.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 95 and 529 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*u. Sort -8, -3, u in descending order.\nAnswer: u, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 5. Let q be -2 + -1 + 8 - 3. Let i be z(q). Suppose 3*f + 340 = i*f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-21)*(96\/(-224))\/((-4)\/(-14))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -245, -510, -793, -1094, -1413, -1750, -2105?\nAnswer: -2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -3. Let g = a - -3. Let z = g - 3.9999945. Round z to 6 decimal places.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 285275, 285301, 285327, 285353, 285379?\nAnswer: 285405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (672\/18)\/(-4)*(-18)\/7. Is 5 a factor of (m - (-3)\/1)\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 28*r - 26*r + 14 = 0, -4*u + 5*r + 17 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.3 - -0.2. Let y = 0.25 - 0.15. Is y less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0 - 4 - w**2 + 5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**4\/10 + 77*c**3\/15 + 37*c**2\/10 - 38*c\/5 + 1824. Factor q(f).\nAnswer: (f + 1)*(f + 38)*(2*f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011011121 (base 4) to base 3.\nAnswer: -112101011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -491 - 81*o**2 - 480 - 478 + 1454 to the form v*o**2 + g*o + y and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o + 13. Suppose 2*v = -2*u - 2*u + 36, u + 3*v = 9. Let p(n) = n**3 - 7*n**2 - 18*n. Let y be p(u). What are the prime factors of c(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -100*i - 499. What is the smallest common multiple of b(-7) and 24?\nAnswer: 1608","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -5 + 0 - -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -543 - 3*r**4 - 69*r + 543 + 6*r**2 + 94*r - r**3 to s*r**3 + a + o*r**2 + g*r**4 + i*r and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -21*q - 6. Suppose 1 = 2*g + 9. Let j be a(g). Suppose j = 2*m + m. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 256.1 (b) -4 (c) 1094\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 457, 911, 1367, 1825, 2285, 2747?\nAnswer: 3211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -2\/7*b**2 + 0 + 2\/7*b**3 - 2\/7*b + 2\/7*b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bqvxoxvvxxxxvvooxxvo. Give prob of sequence voo.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 106 + -95. Suppose 6*v + 775 = o*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -579997\nAnswer: -580001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 - 105 = -4*b - 2*k, 4*b - 3*k - 51 = 0. Let i = b - 30. Is (-1536)\/(-5) + 3\/i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or -0.264?\nAnswer: -0.264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-21) - 38\/(-7) - 4. Suppose -5*k + p*z = -10024, -2*k = z - 2*z - 4010. Suppose -4*f = -f + k. Round f to the nearest 10.\nAnswer: -670","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 9*g**5\/10 + g**3\/3 + g**2 + 2*g - 5096. Determine a(-1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (26 + (-22 - 2))*(-167114)\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 + -34 - (39 + -11).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/408*-5*6?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 12*m + 3. Let y be h(-4). Let o(n) = -n**2 + n + 235. Let l be o(-11). Let z = y + l. What is the remainder when 228 is divided by z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -b - 21*b**2 - 16*b**2 + 0*b in the form t*b**2 + f + v*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 105899, 105894, 105889, 105884, 105879?\n\"Answer: -5*h + 105904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6\/11 - 9\/77. What is the second smallest value in l, -2\/3, 0.3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2. Let x(b) = -1878716*b**2. Determine x(v(r)).\nAnswer: -7514864*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 + 3)*-3 + -103. Calculate the remainder when 99 is divided by (-1 + -3)*j\/16.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9379 + 9403. Calculate the highest common factor of 732 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1020 and 7616.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - w + 12 = 0. Solve 0 = -0*d + 3*d - 5*g + 22, -w = 2*d + g for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of 0 - 2*l - 5\/2*l**2 + 1\/4*l**4 - 1\/2*l**3. Is w(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -c + 2 + 14, 4*r = 2*c + 52. Let y = 18 - r. Calculate the least common multiple of y and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/710 and 35\/248.\nAnswer: 88040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -554, -558, -576, -614, -678?\n\"Answer: -j**3 - j**2 + 6*j - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + j = 99, 5 = -j - 4*j. Suppose -3*v + 5*g - b = -v, 5*g = -5*v + 20. Suppose -3*n + 179 = -v*n - i, 301 = 5*n + i. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -s - 3*s + 110*s + 636 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 + -4 + (-230601)\/(-3892)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 303, -6 in decreasing order.\nAnswer: 303, 5, 4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -78, -155, -236, -321, -410, -503?\n\"Answer: -2*j**2 - 71*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a decade in years?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.636503 centimeters?\nAnswer: 36365030","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 t when three letters picked without replacement from {t: 2, g: 2, o: 4, z: 1, q: 1, f: 2}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34960, 139871, 314740, 559573, 874376, 1259155, 1713916, 2238665?\nAnswer: 2833408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1712170560 divided by -7104\nAnswer: 241015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7179 (b) -1 (c) -10\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.2 (b) -1\/6 (c) 10 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 600197537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-20) - (-158)\/(-632).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27 and 872.8.\nAnswer: 845.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 130 = 3*m, 3*m - 5*m + 100 = 2*o. Is m a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.15*-51.\nAnswer: 7.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000228 to six decimal places.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17261 - 8549 = 326*d - 5598 for d.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-11)*l)**39\/(l\/(l**3*l*l)*l**(-1)) assuming l is positive.\nAnswer: l**(-385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-31993)\/(-6420) + (-4)\/(-240)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1963*l - 1977*l. Suppose 20 = 8*p - 3*p. Solve 0 = -4*s + p*j - 28, l*s - 2*s - 23 = -5*j for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 63*q**3 + 63*q**2 + 7*q + 7. Let o(r) = -31*r**3 - 32*r**2 - 3*r - 3. Let t(y) = 7*o(y) + 3*w(y). What is the third derivative of t(a) wrt a?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 1. Let d be ((-2)\/(-6))\/((-1)\/(-3)). Find the first derivative of d + f - 2*f + u wrt f.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hd when two letters picked without replacement from dhddhddddhdddddd?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2504?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 299\/7 greater than or equal to 44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44\/69 + -2\/69. What is the biggest value in m, -0.1, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1457, -2511, -4263, -6707, -9837, -13647, -18131, -23283?\nAnswer: -29097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (8 + -20) - ((3 - 2) + 3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/17 + (-5976)\/(-1224). Solve z = w*z + z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 428 and 2354.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {u: 4, f: 6, v: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-11)\/5 + (8 - 0)\/4. Let v = -19\/2 + 167\/18. Sort i, -1\/6, v, -17.\nAnswer: -17, v, i, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 + -113. Let f = v + -1. Suppose 3 + 1 = 4*p. Sort -0.2, 1\/9, p, f in increasing order.\nAnswer: -0.2, 1\/9, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -34. Suppose -w + 2*w + 895 = 3*q, -891 = -n*q - 3*w. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i**2 + 548. Let x(l) = -665*l**2 + 318*l**2 + 345*l**2. What is x(g(w))?\nAnswer: -8*w**4 - 4384*w**2 - 600608","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -6*a**3 + 24*a**2 + 22*a - 8. Let j(v) = 2*v**3 - 8*v**2 - 7*v + 3. Let x(p) = -16*j(p) - 5*t(p). Find w, given that x(w) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -6 + 702*y + 697*y - 17 - 1404*y. Let m(n) = -n + 4. Let j(d) = -6*d + 20. Let p(r) = -j(r) + 5*m(r). Calculate v(p(x)).\nAnswer: -5*x - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21.4 - 18.4. Which is the fourth smallest value? (a) 0.2 (b) x (c) 2 (d) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161255888?\nAnswer: 2, 19, 530447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 248 and 931302.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 94008 and 534.\nAnswer: 8366712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/391 - (-140)\/34. Let b(g) = 4*g. Let h(t) = 4*t. Determine l*h(i) - 3*b(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007079711 to five decimal places.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u**3 + 2*u**2 - 20*u - 30. Give z(-2).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129*s + 3*r = -125*s - 12, 5*s + 18*r = -72 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -632?\nAnswer: 635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.493 (b) 0.088762 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166 and 509122.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 2481593.\nAnswer: 2481594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 12 = 12*w. Let n(d) = -d**2 + 6*d + 6. Let k(q) = -2*q**2 + q + 1. Let s(b) = w*n(b) - 6*k(b). Let h(m) = 5*m**2. Give 10*h(c) - 4*s(c).\nAnswer: 6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 31*x**2 + 355*x + 29. Is d(-42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22439*i**6 - 32*i**4 + 8*i**3 - 352*i**2 + 5660 wrt i?\nAnswer: -2692680*i**3 - 768*i + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3138 = 664*k - 2838*k - 3384 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 34674841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 517317 divided by 6\nAnswer: 172439\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148960 by 5.\nAnswer: -29792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is f3 - -244?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5.4. Let y be 158\/(-168) + (-45)\/(-60). Let p = 11\/21 + y. Which is the nearest to p? (a) 1\/7 (b) 2\/11 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 1 (c) 151\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1871877170.\nAnswer: 2, 5, 2953, 63389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-1130)\/(-339))\/((-25)\/270*3) + (-63)\/(-12)\nAnswer: -27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1630884 by 2.\nAnswer: -815442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 14 = -4*v, 0 = 3*f - 2*v + v - 1. Which is smaller: f or -2\/43?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -4, -0.1, 15?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118591791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence en when two letters picked without replacement from ullleenuullelneun?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from yryyrrryyyyryy?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840001 divided by -15?\nAnswer: -1840001\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*t = -3*t + 825, 2*t + 318 = 2*a. Let p(l) = 87*l - l**2 + 1 - a*l + 85*l. Determine p(9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 16750*q. Let o be u(-8). What is o rounded to the nearest ten thousand?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + -2. Let t be 2\/(16\/532) + (-6)\/s. Let h = 72 - t. Solve 0 = -x - 0*x - 5*d + 12, 0 = -h*x - 4*d for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 108\/(-12)*(1 - 9). What is the greatest common divisor of 24 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(0 + sqrt(192) + 2 + sqrt(192)))**2*6.\nAnswer: 13824*sqrt(3) + 166749","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 5) in base 16?\nAnswer: -2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m + m**3 + 37*m - 6*m**3 - 89*m + 7*m**3.\nAnswer: 2*m**3 - 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29076578 is divided by 724.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 + 11*p + 6. Let b be k(-4). Let n be (-1)\/6*b\/(-7). Let r = 6 + n. Calculate the least common multiple of r and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 117, 178, 229, 264, 277?\nAnswer: 262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174401 - -250234. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -2*m**2 + 26716*m + 4462590 = 0.\nAnswer: -165, 13523","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498038 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of -d**5\/12 - 34*d**2. Let r(s) = 4*s. What is y(r(m))?\nAnswer: -80*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105 - 84 + 143)*(-2*b + b - b + 5 - 3 - 2*b + 0*b + b - 2 + 2 + (3 - 1 + 0)*(b - 3 + 3)).\nAnswer: 46*b - 92","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.993 - 47.893. Let v = r - -47. Let o = 0 - 1. Put 0.4, o, v in increasing order.\nAnswer: o, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven halves of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/sqrt(4))\/sqrt(11)*-5 - 4*-4*sqrt(6)\/sqrt(2))**2.\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64287137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*y - 32. Let l be y\/(-9) - (-4)\/(12\/11). Differentiate -20*o**l - 2*o + 33 + 2*o + 62*o**3 wrt o.\nAnswer: 126*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 130 + 86 = -3*p, 4*z + 2*p = 0. Let m(r) = -32*r - 31. Calculate m(z).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/2*(-4)\/(-3). Let n(o) = o**2 + o - 3. Let u be n(l). What is the first derivative of -u - 2*d**4 + 3*d**4 + 11 wrt d?\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*y**3 - 14*y**2 + 9*y**3 + 15*y**2 to a + r*y + m*y**2 + n*y**3 and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 72 = -3*m, -3*m + 349836*g + 40 = 349841*g for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + -3*sqrt(2) + 5)**2 + sqrt(2) + (-2 + sqrt(2))**2*-1.\nAnswer: -15*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -79\/2, 54, -0.3, 2\/9.\nAnswer: -79\/2, -0.3, 2\/9, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 2*v + 13 = -9, 3*c = -v - 22 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1550970.\nAnswer: 2, 3, 5, 19, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(325) + (-2 + sqrt(325)*-5 + sqrt(325) - sqrt(325)))*5 - (-4 + (sqrt(325) + 5 + 4)*6))**2.\nAnswer: 16640*sqrt(13) + 223796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 - -153. What is the highest common factor of t and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -204318*j**4 - 2185*j**2 - 62 wrt j?\nAnswer: -4903632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/3 + 1546451*r**2\/3 + 597878447075*r\/3 + 597876900625\/3 = 0. Calculate r.\nAnswer: -773225, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67086882762 - 0.09.\nAnswer: 67086882761.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3225 = 8*t - 3*y - 2325, -3*t + 2*y + 2083 = 0. Calculate the smallest common multiple of 385 and t.\nAnswer: 3465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 899513 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = 2*l + 2, -23*l + 22*l + 17 = 5*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**3 + 156 + s**3 + 308.\nAnswer: 2*s**3 + 464","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, g: 1, d: 3, q: 1, i: 3, u: 1}. Give prob of sequence idu.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 5*l + 7, 4*a - 2 = -0*a - 3*l. Let r be 9\/4 - a\/(-4). Solve 2*o + r = 3*z, -13 = 2*z - 5*o + 4 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 - b7?\nAnswer: -c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*v - 3*v - 15*v)*(-3 + 2*v**3 + 3) + 3*v**4 + 2*v**4 - 8*v**4.\nAnswer: -79*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7 + 0 + i**3.\nAnswer: i**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6396159 and 198?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*g = -88, -3 = 2*g - 1. Let i be 1\/(2\/p*3). Calculate the greatest common factor of 7 and i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16750 and 2546?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from mmmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145960.\nAnswer: 2, 5, 41, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**2)**37\/(l**(-4\/11)*l*l\/l**(-1\/4)*l) assuming l is positive.\nAnswer: l**(3129\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*o**2 - 9096*o - 1132826.\nAnswer: -36*o - 9096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 106414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 377230?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 7*l**2 + 17*l - 50. Let x(b) = -4*b**2. Let i(t) = -2*x(t) - y(t). Is i(16) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + 4*a**4 - 3*a**4 + (-60*a + 8*a**3 + 60*a)*(-2*a + 5*a - 4*a) + (-a**3 + 0*a**3 + 3*a**3)*(3 - 3 - 2*a).\nAnswer: -10*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 8:01 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 792201, 1584404, 2376607, 3168810, 3961013?\n\"Answer: 792203*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 not equal to 47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*w - 1 - 2*w**2 - 1 + 2 - 2*w**4 in the form c + u*w**3 + b*w + g*w**4 + a*w**2 and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 10*k**2 - 11*k + 5. Let h be x(11). Suppose h = -0*u + u. Suppose -2*v - u = 2*y - 11, 2*v - 14 = 2*y. Solve -m = -0*m + v for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1863 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 428*k**2 - 10*k - 29. Is n(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -99*y - 7*y + 32436. Calculate the highest common divisor of y and 357.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*r - 17570 + 17606. Solve -2 = -d + 10*n - 9*n, -3*d - r*n + 20 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 24*t + 4. Let n(o) = o**2. Determine n(i(u)).\nAnswer: 576*u**2 + 192*u + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-18)*9*7\/(-63).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 764667.2 centimeters in meters?\nAnswer: 7646.672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/3, 0, -5, -4, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0571614 and 0.016.\nAnswer: -0.0009145824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 30*m**5 + 90*m**4 - 120*m**3 - 21*m + 21. Let b(y) = -3*y**5 - 9*y**4 + 12*y**3 + 2*y - 2. Let n(r) = 21*b(r) + 2*t(r). Find j, given that n(j) = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 33\/5 of a millennium?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 108, 5, -3 in ascending order.\nAnswer: -3, 5, 108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/91*1\/((-24)\/(-63))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 + 3*y. Let a(c) = -6*c**2 + 17*c. Let o(i) = i**3 + 9*i**2 - i - 15. Let n be o(-9). Determine n*a(q) + 34*g(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 682 = -5*j, -j + 575 = 3*i - 1519. What is the remainder when i is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -116500, -466006, -1048516, -1864030, -2912548, -4194070, -5708596?\nAnswer: -7456126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 5 - 20. Suppose 0*w + j*t = -3*w + 37, w + t - 9 = 0. Suppose 2*o = o + w. Sort -3, o, 2 in descending order.\nAnswer: o, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42585?\nAnswer: 3, 5, 17, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 1 = 4*p, 0*p + 4*p - 4*x - 4 = 0. Suppose -o - 4*o + 15 = 0. Solve p = m - o for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in o**2 - 2 + 2 + 17800*o**3 + 39136*o**3.\nAnswer: 56936*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16 by 12036176.\nAnswer: -1\/752261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8.9 - 8.9067. Let l = j + 0.007. Round l to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22012120 (base 3) to base 6\nAnswer: 43410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/((k\/((k*(k*(k\/k**(-15))\/k*k)\/k)\/k*k))\/k))\/k**20)**(6\/5))**42 assuming k is positive.\nAnswer: k**(-504\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 915*z + 72527 + 27459 - 23126 for z.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.73 - 42. Let u = 131 - 130.83. Let z = y + u. Sort -1, z, -0.4 in decreasing order.\nAnswer: z, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 12, c: 7}. What is prob of sequence nnc?\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 788 and 1595306?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 118? (a) -1\/5 (b) 0.4 (c) 5 (d) -8237.9 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t**(-1\/6)*t)\/t)\/t**19*t*t*t*t**(-14)*t**(3\/7))**(-3) assuming t is positive.\nAnswer: t**(1165\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4098209 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -1 + sqrt(1100) + sqrt(1100)*1*-5)**2 + 3)*-4.\nAnswer: -70448 - 960*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a week in minutes?\nAnswer: 23520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, c: 1, l: 1, f: 1, i: 2, k: 1}. What is prob of picking 1 f, 1 l, 1 c, and 1 i?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3996, -1922, -7806, -13650, -19448, -25194?\nAnswer: -30882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u + 9. Let t be p(4). Let g be (t + (1 - 2))\/1. Solve 3*r + 11 - 2 = g for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-4) - -1 - -5. Let s(r) = r**3 - 8*r**2 + 10*r - 6. Let k be s(7). Solve -4*n = -20, 4*n - n = -j*o + k for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 245. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 2. Let d be f(-5). Let g = d + -11. Let w be (10\/(-4))\/(g\/(-8)). Put w, 5, -4 in ascending order.\nAnswer: w, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13099, 26200, 39301, 52402, 65503, 78604?\nAnswer: 91705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/38 and 89\/6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5767.43797 rounded to the nearest 10?\nAnswer: -5770","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**2 - 20*c + 20.\nAnswer: 5*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1948 + -376. Let v = d + -871. What is the tens digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-15)*2)\/(18\/(-166 + 4))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 188*k**2 - 22512*k - 5141. Calculate o(-271).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31010 (base 4) to base 8.\nAnswer: 1504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -165 - -633. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of (-960)\/(-2) - (-2 + 7)*18\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the third derivative of -g**5\/60 - g**4\/4 - 7*g**3\/6 - 2*g**2. Let h be a(-5). What are the prime factors of 4*(0 + h\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 372670045?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, u: 1, v: 4, f: 7}. What is prob of picking 3 v?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1315962 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/5 - 14*n**2\/5 + 111*n\/5 - 36.\nAnswer: -(n - 3)**2*(n + 20)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 12*j. Let r(p) be the second derivative of p**3\/6 + 9*p**2\/2 + p. Let k be r(-7). Is l(k) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 1. Let g = 10 + 30. Suppose m = c*u - g, u + 3*m = -0*u + 24. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2. Let u(o) = 7*o**2. Let d(h) = 2. Let s(y) = d(y) + u(y). Calculate x(s(p)).\nAnswer: 147*p**4 + 84*p**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 34608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (-3 - 0) + 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - u. Solve -8 = g + g - 2*o, 3*g - 2*o + 11 = u for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -220 = -3*y - 4*f, -5*f = -0*y + 2*y - 135. Suppose 0 = -380*d + 361*d + 47 + 143. What is the highest common factor of d and y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 - 18*k**2 + 20*k + 4. Give a(-19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 11*w - 11. Let m(c) = 17*c - 17. Let l(i) = -5*m(i) + 8*s(i). Is l(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (10 + -8 - (-1 - 4))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 128000 rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21909 and 182793?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 1096?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2324 and 0.026.\nAnswer: 60.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 9 + 19. Suppose -n*w = 50 - 218. What is the remainder when 94 is divided by w?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -91038.139 - -91076. What is d rounded to one decimal place?\nAnswer: 37.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - ((5 - 0) + -3 + -3)) + -2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.530898 nanometers to centimeters.\nAnswer: 0.0000001530898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 0 - 4 + 7*d + d**3 - 2*d**3 - 3*d**2. Calculate the remainder when 30 is divided by l(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - 1. Let m be 2096\/2*15\/q. Let a = m + 78519\/10. Calculate the common denominator of -28\/11 and a.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1057)\/28 - (-3)\/(-12))*-1. Suppose -2*f - 33*j + 3641 = -s*j, 4*j = -4*f + 7240. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33252 and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*f + 5*f - 88 = 0, f = 2*c - 44. Suppose 0 = -0*w + w - 16. Calculate the smallest common multiple of w and c.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -280 (base 10) to base 11\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(2\/45))\/a)\/a**(-2\/15))\/((a**(-1)\/a)\/(a*a\/((a*a*a**(-2\/19))\/a))) assuming a is positive.\nAnswer: a**(2731\/855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.898 - 94.502. Let g = d - -95. Which is the nearest to 0.2? (a) 0.4 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 - 24. Suppose d - 4*l + 20 = 0, -3*l = -5 - 7. What is the second smallest value in 0.2, d, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:21 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*a + 40 = 143*a - 4*n, -7*a - 3*n - 22 = 0. Factor 12*i - 21\/2 - 3\/2*i**a.\nAnswer: -3*(i - 7)*(i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1807, -3611, -5413, -7213, -9011?\nAnswer: -10807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 28 = 5*y + 2, 0 = c - 5*y + 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -20*r. Let o be ((-245)\/(-77) - -2) + 6\/(-33) + -2. Let m(g) = -g**2 - 21*g. What is o*m(q) - 4*k(q)?\nAnswer: -3*q**2 + 17*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/7 (b) 353 (c) -2 (d) 5 (e) 6.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -7. Find the third derivative of -2*f**4 + 5*f**2 + 17*f**2 - 2*f**4 - 13*f**x wrt f.\nAnswer: -96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/13, -1, -1110, 6\/7, 51.\nAnswer: -1110, -1, 1\/13, 6\/7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 74.18092 centuries?\nAnswer: 741.8092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 507 is divided by 35.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4851\/(-385))\/(12\/20).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbdbbdbqdqbcqb. Give prob of picking 1 q, 1 b, and 1 c.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -159*n + 161*n + 13292. Let f = -418688\/63 - n. What is the common denominator of f and 68\/15?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -733*l**3 + 14*l**2 + 6*l + 12. Let p(c) = 733*c**3 - 16*c**2 - 7*c - 14. Give -7*g(n) - 6*p(n).\nAnswer: 733*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*y + 7*y - 36*y)*(-y**2 + 3 - 3)*(-2 - 4 + 0) to t + j*y**2 + h*y + d*y**3 and give d.\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -282, -391, -690, -1275, -2242, -3687, -5706, -8395?\n\"Answer: -16*t**3 + t**2 - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 2 + (sqrt(475)*-1 - sqrt(475)) + -2)**2.\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 71*c - 76*c = -9, 5*y - 3*c + 23 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -243209259*p**2 + 489*p - 453523 wrt p?\nAnswer: -486418518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*z - 1183 = 2254590. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**4\/4 + 59*y**3\/2 + 3*y**2 - 3*y. List the prime factors of a(0).\nAnswer: 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/((-1)\/3)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of i**4\/4 + 125*i**2\/2 + 145*i. Suppose 0 = -0*o - 2*o. What are the prime factors of k(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1697774, -6791134, -15280080, -27164612, -42444730?\n\"Answer: -1697793*t**2 + 19*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3313*s + 16571*s - 3310*s + 0 - 3314*s - 4 - 3315*s - 3317*s.\nAnswer: 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 + 6*v - 4. Let r(n) = n - 1. Suppose 0 = 4*u - u - 15. Let k be r(u). What is the units digit of c(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.036 + -4.036. Which is the closest to 2\/5? (a) w (b) -17 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 67 - 58. Let m = 0.1 + 0.3. Which is the second biggest value? (a) v (b) -0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 8*c = 21. Let p(u) = -c - 8 - 16*u**2 + u**3 - 3*u + 22*u**2. Let r be p(-6). Solve -3*z + 0*v - 5*v + 35 = 0, -4*v + 31 = r*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -12*f + 22. Give c(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + t. Let h(u) = -18*u**2 + 24*u**2 - 9*u**2 - 1 - 3*u. What is -h(l) - 4*y(l)?\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7b (base 15) in base 14?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14995 - 1663. What are the prime factors of s?\nAnswer: 2, 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -10. Let k = x - 13. Suppose -k*y + 76 = 4*w - 2*y, 5*y = 0. Calculate the remainder when 74 is divided by w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -461, -446, -421, -386?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/57))\/r*(r**(6\/7)*r)\/r)\/(r**(2\/3))**8 assuming r is positive.\nAnswer: r**(-600\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -360, 1161, 3704, 7275, 11880, 17525, 24216?\n\"Answer: p**3 + 505*p**2 - p - 865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*i + 79 - 23 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 354\/36 + 3\/18. Let j(b) = b**2 + 8*b - 23. Is j(x) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**3 - 23*d**2 + 8*d + 101. Calculate b(7).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 4*i - 32, b + 9*i + 16 = 4*i. What is the remainder when 49 is divided by (-3)\/(b\/(-136)*(-6)\/4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y - 40*y + 23*y + 164*y**2.\nAnswer: 164*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*g**3\/2 + 10419845*g**2\/2 - 5428653281275*g\/2 - 5428663701125\/2 = 0. Calculate g.\nAnswer: -1, 1041985","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**2 + 24*a + 46. Let q be h(-22). Let b(t) be the first derivative of 0*t + 3 + 0*t**q - 1\/3*t**3. Let r(m) = m. What is b(r(z))?\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -186? (a) -11 (b) -1\/2 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36192904 is divided by 18096397.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1576.32l to millilitres.\nAnswer: 1576320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15625 and 44031250?\nAnswer: 44031250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 61457.58 grams?\nAnswer: 61457580000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**3)\/(c**(-1\/3)\/c))\/(c*c**(-1)*c**(4\/7)))**(-9\/5) assuming c is positive.\nAnswer: c**(-60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(45) + (sqrt(405)*-3)\/sqrt(9)) + 0.\nAnswer: -30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**2 + 14*b - 5. Let l be q(4). Suppose -5*u = a - 82, 2*u + 314 = -l*a + 6*a. List the prime factors of a.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.6? (a) 1\/1449 (b) 0.3 (c) 2 (d) -3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 - 6*v**2 + 4*v - 8. Let y = 41 - 35. Determine h(y).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7639869 and 25555?\nAnswer: 725787555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (978\/141 - 7)*(2 + (-12)\/9)\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 - 193164682264?\nAnswer: -193164682100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 102*u + 645. Let z be a(6). Let n(m) = -m**2 - 5*m - 2. Give n(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10 + -8. Let n be (0 + -1)*(-6)\/k. Suppose 2*h - 26 = -4*b, n*b + 0*b - 15 = -3*h. Solve b + 8 = -4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -6613*w - 2648. What is the units digit of f(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 4:51 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**4\/24 - 2*p**2. Let j(n) = 5 - 6 - 12*n**2 + 1. Give v(j(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let b = 77 + -71. Calculate x(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 293, -0.3, -1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -37242791 and 0.4.\nAnswer: -14897116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021 + 21121201210?\nAnswer: 21121211001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t + 48*t - 1680 = -131*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = b - 6 - 2, 2*u - 4 = -2*b. Solve -2*k = -5 - b for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61*-15505.5\nAnswer: -945835.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-10)\/3 + 6\/(-9). What is the remainder when 18 is divided by 6\/f*40\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**3 + 0*m**3 + 2*m**3)*((2 + 4 - 4)*(m + m - 3*m) + 43 - 43 - 6*m).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -4*y + 3*b, 12 = -4*y + 5*b + 37. Solve 3*s - 4 = -4*m + 4*s, 20 = -3*m - y*s for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 20*b**3 + 2*b**2 + 20*b - 17. Let w(g) = 7*g**3 + g**2 + 7*g - 6. Let p(u) = -6*l(u) + 17*w(u). Let k be p(5). Is k < -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*j - 132 = -136*j. Let n(d) = -d**3 + 7*d**2 - 5*d - 2. What is n(j)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3 at least as big as -24.929?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2659828 is divided by 1111?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 48 = 3*m + 4*w, 2*m + 2*w = 48. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 0 = -5*l. Does 5 divide 3 + (-38)\/(l - 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*a**2 + 26*a**2 - 9*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11436*l**3 - 20*l**2 - 10*l. Let c(a) = 5718*a**3 + 12*a**2 + 6*a. Give -5*c(w) - 3*f(w).\nAnswer: 5718*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*c = -90*c + 12*f + 44, -f = 4*c + 22 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thtthttuhtss. Give prob of picking 1 t and 1 s.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4*z**3 - 2.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2 (c) 19 (d) 11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7810 and 2130?\nAnswer: 23430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14767*w**3*z + w**3 + 32600*w**2 - 3*w - 39*z**4 + z - 2 wrt z?\nAnswer: 14767*w**3 - 156*z**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 24066.\nAnswer: 96264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -416 + 409. Let b(d) = d**2 - 4*d - 2. Calculate the remainder when -14 + w + 14 - -13 is divided by b(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4a - 18445b?\nAnswer: -184411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + -2 - -3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 10*m - 12. Let b be n(8). Let h be (2\/3)\/(b\/18). Suppose -3*k = -a - 28, -h*k - 4*a + 5 = -18. Is k a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.9, 50, -2\/7, -0.3 in descending order.\nAnswer: 50, -2\/7, -0.3, -4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 455 divide 203840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q - 4*q - 6*q**2 - 28*q**2 + (2 + 0 - 1)*(-3*q**2 + 3 - 3).\nAnswer: -37*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 4*f + 15. Suppose -i + 66 = -6. Suppose -75*a - 18 = -i*a. Is a less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.041 (c) -75 (d) 4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + (sqrt(50)\/(sqrt(10)*2 - sqrt(10)) - sqrt(5)) + 3)**2.\nAnswer: 6*sqrt(5) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) -0.059 (b) -2 (c) 0.01 (d) -0.5 (e) 1\/18 (f) 2\/5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 82955 and 1?\nAnswer: 82955","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (195 - 96 + f**3 - 89 + f**2)*(6*f - 3*f - f).\nAnswer: 2*f**4 + 2*f**3 + 20*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1810 (b) -0.2 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 q, and 1 d when three letters picked without replacement from chqhduhppqphhhhh.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2*b - 3*b + 62, -5*m - 55 = -5*b. Calculate the least common multiple of 3 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 56.7213 decades?\nAnswer: 5.67213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-66)\/(-36) - 1*(-3)\/18. Suppose -l*z = 5*n - 28601, -6 - 4 = 5*z. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = u + 1, -w + 12 = 2*u + 4. What is the derivative of 31*k**2 - w*k**3 + 1 - 31*k**2 wrt k?\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 666 divided by -41.\nAnswer: -666\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 2. Suppose -2*l = -j*l - 36. Let w = l + -13. Solve w*y + 3*o = 5*o - 29, -o = -5*y - 27 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of -5*c**8\/56 + 29*c**5\/30 - 49*c**2. Find the third derivative of z(j) wrt j.\nAnswer: -1800*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13564939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/(sqrt(33)\/sqrt(3)))**2 - (sqrt(3) - (-4 + sqrt(9)\/sqrt(3)))) + 4 + (sqrt(75) + 1 + sqrt(75))**2.\nAnswer: 20*sqrt(3) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of 1 + 1\/4*p**4 - 2*p**2 + 4*p - 4\/3*p**3. Determine y(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 + 39 + 1 + -1 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 557, 1178, 1799, 2420, 3041?\nAnswer: 3662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/4)*d*d*d**(-2\/11)\/d)\/(d\/(d**(-4\/7)*d)*d**(-6\/5)))\/((d**(-7)*(d**0\/d)\/d)\/((d\/d**(-6))\/(d*d**(-1\/9)))) assuming d is positive.\nAnswer: d**(232957\/13860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is a595a7 (base 11) in base 8?\nAnswer: 6361240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 330 = 372 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14231141 (base 5) to base 7.\nAnswer: 1160113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/27 + 0 + 141\/(-27). Sort m, -4, 109 in descending order.\nAnswer: 109, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*o = 126 - 54. Solve o*m + 11 + 6 = -5*r, -3*m = r + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 223060\/110 - 20\/(-110) - -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11125 * 2\nAnswer: -22250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 7 (b) 737 (c) 4 (d) 0.3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 6*y + 62. Let q = -4 + 6. What is the remainder when y is divided by q\/(-8) + 90\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.36 * -0.03\nAnswer: 0.1308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/3, 5, -6\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 911 divided by 3.\nAnswer: 911\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2665155705?\nAnswer: 3, 5, 17, 23, 454417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -209 - -216. Sort h, 1, 0, 4 in decreasing order.\nAnswer: h, 4, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2308289.\nAnswer: 269, 8581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*r - 5*l, 39*r = 35*r - 3*l - 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 81 = -4*k. Let o = k + 26. What are the prime factors of o?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/6 and 89\/10456.\nAnswer: 31368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 41. Let y(s) = -5*s. Let q(b) = 22*b. Let i(t) = o*y(t) + 2*q(t). Let u(h) = -10*h**2 + h. Determine u(i(p)).\nAnswer: -10*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 2:32 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -51, -63, -59, -33, 21?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x**2 - 4. Let y(s) = -s**2 - 3. Let p(g) = c(g) - 4*y(g). Let b(n) = 4*n. Calculate p(b(z)).\nAnswer: -80*z**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 145 divide 2435032560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t - 7. Calculate the remainder when 49 is divided by s(-12).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -89, -374, -855, -1532?\n\"Answer: -98*m**2 + 9*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 + -122 + (-14 - 4).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7764.26 + -7765. Which is the closest to 12? (a) r (b) 0.1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 27. Suppose 0 = -4*a + 12. Sort a, k, -3 in ascending order.\nAnswer: -3, a, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sovokomsmssksksvvkom. Give prob of picking 1 o and 1 k.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -g**9\/28 - g**5\/60 + 7*g**2\/2 + 46. Let r(z) be the second derivative of c(z). What is the third derivative of r(f) wrt f?\nAnswer: -2160*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 905190.3 grams?\nAnswer: 0.9051903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.38145 + 0.38145. Let g = 0.2 + -1.2. What is the nearest to r in -10, g, -2\/11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w - 3. Let l = 9 + -9. Let t(k) = k**2 - 12. Let z be t(l). Let f = -12 - z. What is b(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18982 + -18212. What is the lowest common multiple of 350 and q?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (9\/(-15))\/(6\/(-4)). Let o be (1\/(-6))\/(716\/537). What is the third smallest value in k, o, -6, 2\/3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15600\/(-4212))\/(6\/81)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(8) + -1)**2.\nAnswer: -4*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/7371 and -19\/504.\nAnswer: 58968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 231*l - 477*l - 46*l.\nAnswer: -292*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(4\/(-20 - 0)). Let r be -10*1*j\/(600\/16). Solve 2*y - 8 = -r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5*k = 1916 - 41, -3*y - k + 1115 = 0. Is 37 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5611818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 127758 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38 - -110. Suppose -65 = -2*q + w + 401, 5*q - 1162 = w. Let o = q - 217. What is the remainder when m is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5*(-2722)\/10*-1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ezcc when four letters picked without replacement from cxzcxxexexx?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3697 + -0.37.\nAnswer: -2.7397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1654, -3156, -4670, -6202, -7758, -9344?\n\"Answer: -x**3 - 1495*x - 158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 + 2*d + 2. Let k(r) = 6*r**4 - 49*r**2 - 11*r + 7152. Let p(g) = -k(g) - 5*u(g). What is the derivative of p(n) wrt n?\nAnswer: -24*n**3 + 68*n + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/21 + 22*q**4\/21 + 86*q**3\/21 + 22*q**2\/3 + 128*q\/21 + 40\/21 = 0. Calculate q.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - v = 5*p - 71, -5*v - 4*p = -397. Let q be 2550\/(v\/(-20) + 4). What is q rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -47\/2*l**2 + 0*l**4 + 3*l**5 + 0 + 1\/6*l**3 + 89*l. Find the second derivative of w(q) wrt q.\nAnswer: 360*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.14, 6, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o**2 - 15*o - 2. Let p(w) = -3*w**2 - 14*w - 1. Let j(q) = 6*p(q) - 5*t(q). Let b(x) = x**2 - 4*x + 2. Determine -9*b(y) + 4*j(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-3))**(-6\/5)\/(i**(-3)\/i**(-2\/13)) assuming i is positive.\nAnswer: i**(341\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2, 0.5, -0.5, 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of 5*q**6\/18 - 4*q**5\/3 + 25*q**4\/12 - 10*q**3\/9 - 62. Factor j(w).\nAnswer: 5*w**2*(w - 2)*(w - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.996 to one decimal place.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2310251 - 4?\nAnswer: 2310245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-194)\/(-2) + 2\/2. Let k(s) = -4*s**3 + 4*s**2 + 3*s + 1. Let v be k(-2). Let z = -29 + v. What is the highest common divisor of z and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -19. Suppose 5*k = -z*k + 75. Calculate the common denominator of 75\/2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 152644, 305242, 457840?\n\"Answer: 152598*r + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 691 and 2.5.\nAnswer: 1727.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (((sqrt(76) - (-1*sqrt(76) + sqrt(76))*1 - (-3 + sqrt(76) + 0)) + sqrt(76)*-1 + -3 + 4 + sqrt(76) + 0)*-4)**2.\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -306 or -290?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9570\/61 - -4010189\/25620. What is the common denominator of -75\/8 and l?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 131708 and 76.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59653 and 6749.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53 + 33*r**2 - 116*r**2 - 3*r**2 + 2*r wrt r.\nAnswer: -172*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 450*i**3 - 3918*i**2 - 8*i + 32. Let n(q) = 451*q**3 - 3917*q**2 - 6*q + 24. Let l(y) = 3*h(y) - 4*n(y). What is the third derivative of l(m) wrt m?\nAnswer: -2724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7, -0.3, -1, 145.6 in ascending order.\nAnswer: -1, -0.3, 1, 7, 145.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40 is divided by 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17.44 or 1.1?\nAnswer: 17.44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ooooooooocoooocooo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/2 + 26073*t\/2 - 26079.\nAnswer: 3*(t - 2)*(t + 8693)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8073 (base 9) to base 16.\nAnswer: 170a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 2 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**6\/360 + u**5\/24 + 5*u**4\/24 + u**3 - 17. Let l(w) be the third derivative of d(w). What is l(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o + 12 = 0. Let g(k) = 32*k**2 + 29*k + 7. Let f(b) = 11*b**2 + 10*b + 2. Let t(j) = o*g(j) - 8*f(j). Does 29 divide t(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - j)*(3 - 1 - 3)*(-25 - 31 + 101).\nAnswer: 45*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 69879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 + 2*t - 2. Let z(v) = 7*v**2 + 4*v - 4. Let y(d) = d**2 + d - 224. Let k be y(0). Let i be k\/(-40) + 6\/(-10). Give i*m(s) - 2*z(s).\nAnswer: s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 3663?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -2 (b) -2\/9803 (c) 113 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 4*t**2 + 2*t. What is y(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29163378 * -3.\nAnswer: -87490134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (448\/(-38))\/2 + (-30 - -36)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -2 - 12 - (7 - (-87 + 10 + -12))?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4080?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2377506469 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2875 (base 9) to base 12.\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -19*m + 1. Let p(u) = -9*u + 1. Give -3*g(v) + 5*p(v).\nAnswer: 12*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y**2 + y**2 + 0*y**2 + (6 + 16 - 2)*(-y**2 + 0*y**2 + 3*y**2) - 2*y**2 + 3 - 3.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462 = 3*k + 5*w, k = 2*w - 0*w + 154. Suppose 5*y = 3*p - k, 0 = 2*y + 4 + 6. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -8) + -8 + 3 + (-43 - -24)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 9 + 4 + 8 + -6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 205, 472, 845, 1324?\nAnswer: 1909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/1083760 and -103\/17856.\nAnswer: 39015360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 36203810 to the nearest integer?\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 j when two letters picked without replacement from {j: 5, o: 4, m: 1, q: 2, b: 1, v: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*f - 292*f = 1188 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 5*d - 33 = 0, -z + 0*z = d + 13. Let g(p) = -p**3 - 9*p**2 - 10*p - 10. What is the units digit of g(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 15061*p + 12109033. Determine w(-804).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 95980380 to the nearest 100000.\nAnswer: 96000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 + -42.8. Let t = w + 2.6. Which is the nearest to -0.1? (a) -4 (b) 2\/9 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 + 13 + 7)*(-8 - 7*w + 2059*w**2 - 1035*w**2 - 1030*w**2) in the form h + i*w + r*w**2 and give h.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 7*l + 4. Let n be w(4). Let o(m) = 4*m + 2. Let q be (-4)\/4 + (2 - -2). Let a(g) = 7*g + 4. Let r(x) = q*a(x) - 5*o(x). Give r(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -580889 - -580890.0000084. Let b = s + -1. Round b to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-427)\/2318*1248\/728.\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 164 = -46. Let c = w + 281. List the prime factors of c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1265485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + b = 0. Let m = -263991 - -263991.1. What is the closest to -0.2 in 3\/4, b, 4, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*l + 10*l + 69*l to f + m*l and give m.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49830 and 90.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 109935 and -0.9?\nAnswer: 109935.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -j**4\/4 - 4*j**3\/3 - 3*j**2 - 3*j - 1. Is 7 a factor of k(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (2 + 2\/(-10)). Let d = 8\/15 - y. Let h be 10*2\/4 + 0. Which is the second smallest value? (a) -4 (b) d (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -50907 (b) -2 (c) -4\/15 (d) 53\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 13, -5 in descending order.\nAnswer: 13, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.386336 litres in millilitres?\nAnswer: 6386.336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2340519 divided by -6.\nAnswer: -780173\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 56\/9 - (-4)\/(-18). Let y(v) = -3*v**2 + 3*v + 3. Let h be y(f). Let m = 187 + h. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1215 = 13*r + 253. Let p(h) = 70*h**2 + 4. Let j be p(-1). What is the greatest common divisor of r and j?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -284 - -296. Suppose 8 = -5*a - h + 3*h, 0 = -3*h + z. Is a less than -1\/221?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 801347 to the power of 1\/2, to the nearest integer?\nAnswer: 895","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/14 + 702\/(-7). Let x be (6\/(-5))\/((-5)\/q). Let u = 50 + x. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 5*l - 105, -5*w + l + l + 119 = 0. Suppose -11*t = -w - 43. Sort -3, 4, -1, t.\nAnswer: -3, -1, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bo when two letters picked without replacement from {y: 2, c: 2, b: 2, o: 4, s: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00052535957 rounded to 5 dps?\nAnswer: 0.00053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-2268 - -2271 - (1 - (-2 + 3) - -22)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -243575 or -243574?\nAnswer: -243575","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -3*r - 319. Calculate s(-69).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 665*k**2 + 3*k - 3*k.\nAnswer: 665*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 - 15*r**2 - 524*r + 8343. Determine n(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -40 - -50. Calculate the remainder when 57 is divided by p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/8 - (-1)\/(-2). Let s = -12345 - -12347. Let q(l) = -l + 4. Let v(o) = -4. Let x(h) = 3. Let u(w) = -2*v(w) - 3*x(w). Determine k*q(p) + s*u(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21, 39, 55, 63, 57, 31?\n\"Answer: -v**3 + 5*v**2 + 10*v + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.016, -5, -472?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -4\/541 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 310*n - 8 = 314*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93 = 6*k - 7*k. Suppose 131 = 2*v - k. Suppose 0 = 4*u - 49 - 7. Calculate the greatest common divisor of v and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -426 - 24. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 + m**2 - 4*m + 3. Let k be d(2). Is k equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - i + 4*j = -18, j - 28 = -2*i. Let l = -10 + i. Solve 0*a + s + 6 = a, l*a - 10 = -s for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/((-1716)\/(-9)))\/(((-14)\/(-32))\/(-7))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -1\/6, 1\/3, -0.3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -7, -6, 9, 44, 105?\n\"Answer: z**3 + z**2 - 9*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, h: 1, d: 5, b: 1}. Give prob of picking 1 d, 1 b, and 2 e.\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -4 (b) 11 (c) -33 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*h - 3 = -72*h + u - 60, -9*u = -5*h - 33 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 21 + 3 = -2*w, -m + 22 = 5*w. Solve 2*l - 1 = -m*t + 1, -3*l = 2*t for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-1))**(11\/6) assuming s is positive.\nAnswer: s**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2 = -10*c - 3, 21*c + 6 = 15*c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6953889 and 5667.\nAnswer: 5666.3046111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724 less than 1724?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-67)\/((-44220)\/(-264)))\/(4\/(-50)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2027 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 241 divide 22654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76541\/9390 + -24\/1565. What is the common denominator of -55\/6442 and j?\nAnswer: 19326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6902 divided by 14097.\nAnswer: 6902\/14097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7413798?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 109144?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekeeee. What is prob of sequence kek?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4442 + -4439. Solve 0 = 3*k - 3*z - 12, -y*z = -5*k + 12 + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s**(6\/5)\/s)*s**12*s*s**(-1)*(s*s**13)\/s assuming s is positive.\nAnswer: s**(129\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of f**6\/24 + 7*f**4\/24 + 4*f**2 + 8. Let m(r) be the second derivative of v(r). What is the second derivative of m(o) wrt o?\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-24))\/((-26)\/(22880\/44))*3\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 11:52 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the second derivative of 25*i**3\/3 + 2*i**2 + 32*i. Let l be t(2). Suppose -2*z + 88 = 4*h, -h + 0*h = -3*z + l. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2689608546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 256769046?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1229 - 688. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 1198319609.\nAnswer: 1198319608.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13569 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 5*p**2 + 5*p + 4. Let y(k) = -4*k**2 + 4*k + 3. What is 4*i(t) - 5*y(t)?\nAnswer: 4*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 10*i**2 - 14*i - 5. Let g be v(-9). Let c = -1\/1867 - -377139\/9335. Is g greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6717 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (240\/(-60))\/((-2)\/8). Calculate the greatest common factor of u and 304.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3458838 and 3458839 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 - 2726*v + 1885*v**2 + 2726*v in the form j*v + n + q*v**2 and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 546 + -543. Suppose -4*m + 5*t = -17065, -q*m - t = -8*m + 21326. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -129*r**4 + 4*r**2 + 5*r wrt r.\nAnswer: -3096*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1706517560 by 213314695.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542 + 28*k**4 - 1438 - 776*k**3 + 3920*k**3 - 2094*k + 868*k**2 - 1050*k = 0.\nAnswer: -112, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 3, -23763 in decreasing order.\nAnswer: 3, 0, -2, -23763","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-6\/7))\/s)\/(s*s\/s**12))**(-18))**19 assuming s is positive.\nAnswer: s**(-21888\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -706 = -3*a - 193. Suppose 4*w + g - a = 40, 0 = 3*w - 4*g - 144. Let x = w - -1. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 69 + -41. Let p = 9650525 - 9650496.9999967. Let r = f - p. Round r to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104 + 105. Let z = -6.3 + 6. What is the nearest to -3 in -4\/7, z, o?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 - 6*l + 7. Let f be (1 + -2)*(8 + -1). Let p be a(f). Let u(v) = v - 2*v + p*v. Let z(d) = d. What is u(z(j))?\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 248835763?\nAnswer: 11, 22621433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-690)\/828)\/((-10)\/4)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzszzhzzhszzss. What is prob of picking 4 z?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -2439*f + 2436*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*x - 26. Let h = 8 + x. Suppose 3*z + h*z = 0. Solve y = -w - z*w + 4, 3*w = 2*y - 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12875 is divided by 161.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 141 - -43427?\nAnswer: 43568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**15*b*b**(-12\/11)*b**(-11)*b*b*(b**17*b)\/b)**(-2\/167) assuming b is positive.\nAnswer: b**(-504\/1837)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/13)\/(4\/30*-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -3, 3\/7, -2, -11231, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 16*b + 87. Determine m(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) -0.3 (c) 17380 (d) 2\/47\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.16 equal to -1.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 228254328?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1711611 - -0.8?\nAnswer: -1711610.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3613926190 to the nearest 1000000.\nAnswer: 3614000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**8\/252 - q**7\/63 - q**6\/45 - q**5\/90 - 36*q**2. What is b in u(b) = 0?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70.7 - 62. Let q = -8.6999786 + p. What is q rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*((k\/k**(-1\/7))\/k)\/k)\/(k**(-19)\/k) assuming k is positive.\nAnswer: k**(141\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4848326 is divided by 216.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.2, -4.9, -3, -4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1190809 (base 10) to base 5\nAnswer: -301101214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 98\/11959653 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3*s*s)\/(s**(-2)*s)*(s**(-2)*s)\/s**(-1\/6))\/(s**(-5)\/s**(-1\/6))**(-39) assuming s is positive.\nAnswer: s**(-550\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**3 - 2101974*h**2 + 552285786096*h + 552287888072 = 0. Calculate h.\nAnswer: -1, 525494","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11393 + 11398. What is the second biggest value in -27, 0.5, 2.1, y?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s + 228 = 0. Suppose s + 3 = 5*p. Solve -a + 8 = 5*t, 3*a - 2*t + 5*t - p = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1075, -632, -189, 254, 697, 1140?\nAnswer: 1583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/(-15))\/((-7)\/((-1470)\/(-9))). Let c = 5 + t. Suppose -9*z + 12 = -c. Solve -2*y = -z*y - 9 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -21 + 22. Let v be 3 - 1 - (0 + 1). What is the greatest common divisor of g and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6278239243 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*s**2 - 43*s**3 - 33*s**3 + 147 + 9*s**2.\nAnswer: -76*s**3 - 3*s**2 + 147","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -26951.66427 rounded to 0 decimal places?\nAnswer: -26952","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 5:19 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**0\/i)*i*i\/((i\/i**5)\/i)*(i**0*i)\/i*((i*i*i**3)\/i)\/i)**(-27) assuming i is positive.\nAnswer: i**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4187)\/4128 + (-2)\/(-2). Let g = 12099581\/28896 + z. Let p = g + -418. Which is bigger: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101725 divided by -20345?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19*4\/570 + ((-13409)\/(-660))\/(-23)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 6*o**3 + 2*o**2 - 2*o - 1. Let l be j(3). Suppose l + 22 = 3*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*3\/((-9)\/30)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 520811 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 4*b**3\/3 - 8. Let k(s) = 0*s + 0*s - 4*s - 11*s. What is v(k(u))?\nAnswer: 900*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*c**3 - 24*c**3 + 9*c**2 - 2 - 33*c**3 + 4 - 32*c**3 as r*c**2 + b*c + g*c**3 + t and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - c = -7103, 2*c = -4*y + 7*c + 14241. What is the thousands digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*t - 14. Let b = t + -7. Suppose 2*y = -3 - b. Sort -3, -1, y in increasing order.\nAnswer: y, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3326084 is divided by 1108694?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 7*x. Let v(s) = s + 1. Let u(t) = d(t) - 5*v(t). Let w be u(4). Suppose -2*m + w*m - 118 = 0. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 120, 244, 368, 492, 616?\n\"Answer: 124*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 20*o + 68. What is f(6)?\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-18) - 3666\/432*-2 and -6\/37.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -9.9\nAnswer: -39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -13*z**2 + 13\/60*z**5 + 0*z**4 + 1\/3*z**3 + 0*z - 2. Let d(o) = -o**2 - 3*o**2 + 6*o**2. Determine d(r(f)).\nAnswer: 338*f**4 + 104*f**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.5649 + 4.5649. Let u = 81 - 245\/3. Which is the closest to u? (a) 13 (b) -5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -17*n**2 + n. Let w be t(-1). Calculate the lowest common multiple of (3 - -2)*(w\/(-15) + 2) and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.11 and -16413890191.\nAnswer: -16413890190.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 37900098 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**4\/3 - 20*j**3\/3 - 44*j**2\/3.\nAnswer: j**2*(j - 22)*(j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -405 = 44*a + 46*a - 75*a. Which is greater: -982\/35 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4 + 101*k**3 + 3195*k**2 + 41175*k + 189000.\nAnswer: (k + 15)**3*(k + 56)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 947925*k**3 + 3119214*k**2.\nAnswer: 5687550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5588656, -5588657, -5588658, -5588659?\nAnswer: -5588660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 3:12 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(171) + -1 + sqrt(171) + 2*sqrt(171) + (-6*(sqrt(171) + 0 - sqrt(171)) - sqrt(171) - sqrt(171)) + 0)**2.\nAnswer: -12*sqrt(19) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 + 1)*(-3)\/(-2). Let l be (-2)\/(-7)*476\/12*d. Factor 15*v - l*v - 6*v**2 + 15*v.\nAnswer: -2*v*(3*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 5*f - 4*b, 0*f - 2*b - 2 = f. Let x(s) = 8*s + 2. Let d(z) = 7*z + 2. Let t(l) = -7*d(l) + 6*x(l). Let g be t(-4). Solve f*k - g = -10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaqaaqa. What is prob of picking 3 a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52297?\nAnswer: 7, 31, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2854333 is divided by 6099?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2. Let d(u) = 20*u**2 + 6*u - 12. Let b(t) = 20*t**2 + 5*t - 10. Let o(h) = 6*b(h) - 5*d(h). Determine o(c(w)).\nAnswer: 80*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.4 + 0.1. Let i = -0.7 - -5.7. Let y = -7 + i. Which is the closest to y? (a) w (b) -2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 5:06 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 10 = 5*d, -d + 3*d - 5 = 3*t. Let f(r) = -7*r**3 + 2*r**2 + r. Let k be f(t). Suppose 12*a - 80 = k*a. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 17*y**2. Let o be w(1). Calculate the highest common factor of o and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1463362457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 11, -0.5, 86, 0.9 in decreasing order.\nAnswer: 86, 11, 0.9, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/744 and 5\/186.\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-262*c**3 + 51638*c - 51638*c)*(-6 - 2 + 5)*(-1 - 5 + 5)*(0*c + 2*c + 0*c).\nAnswer: -1572*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2*(-1*sqrt(304)*-5 + 2))**2*-5.\nAnswer: 1600*sqrt(19) + 152080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 703169 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10524899.\nAnswer: 7, 11, 53, 2579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 r, and 2 u when four letters picked without replacement from lllllrlulllluullllll?\nAnswer: 16\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 134 - 34. Let l = 452 - 423. Suppose -3*b + 42 - 18 = 3*f, -4*b + l = 3*f. Calculate the greatest common factor of t and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 - 4467*t - 35544.\nAnswer: -3*(t + 8)*(t + 1481)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/64 and -15\/56.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2 + 7*d + 4. Let o be x(-6). Let s = o - -5. What is the first derivative of 4 + 4 - s*a**3 - 3 - 3 wrt a?\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1904 - -1259. Let q = c + 763. Does 2 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 2*l + 6 = 0, 4*s = -4*l + 9 - 1 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*y**3 + 3*y**3 - 46*y**2 + 15*y**2 + 25*y**3 wrt y.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 16*o - 110. Calculate the highest common divisor of 450 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 3*h**5 + 1812*h**4 + 299343*h**3 + 7742298*h**2 + 46562880*h - 126518784 = 0.\nAnswer: -287, -16, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6\/22*558\/(-2511)\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -7. Suppose -6 = -r*f - 1. Let x be 0\/1 - 3\/(-6). Which is the closest to 1\/3? (a) x (b) 4\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -14506 bigger than -14508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6247*k**2*o**3 - 8*k**2*o**2 + 135*k**2*o - 2*k*o**3 - k*o**2 wrt o.\nAnswer: 37482*k**2 - 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31677.22 kilograms in tonnes?\nAnswer: 31.67722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.222 and -15.657.\nAnswer: -3.475854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 3*q**2 - 2*q - 1. Let z be i(-3). Suppose 5*h + z*p = -0*h + 315, -4*p = 2*h - 134. Let a = -8 + h. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1101?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z - 25. What is p(0)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/13041864 and 137\/3556872.\nAnswer: 39125592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(190)\/((sqrt(40)*2)\/sqrt(4)))**2.\nAnswer: -sqrt(19) + 23\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 335602585.\nAnswer: 5, 1867, 35951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -166 + 17. Is (-1)\/4 - b\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 z, and 1 t when three letters picked without replacement from {w: 1, c: 2, z: 1, b: 2, t: 1, g: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4 + 210*o**3 - 5188*o**2 - 17064*o - 11664 = 0. Calculate o.\nAnswer: -2, -1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.3 (b) -574\/9 (c) 2\/343339\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6455 and 1492396.\nAnswer: 1291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 751 = 5*s - 28*d, -d - 23 = 2659*s - 2663*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in minutes?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 505*m**2 - 1357*m - 74818. Give r(502).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -86*t**3 - t**2 + 2*t - 3. What are the prime factors of u(-2)?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21772 is divided by 21436.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Suppose r*c + 0*b - 3*b = 117, -59 = -c + 5*b. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q + 8. Let c be a(-3). Find the second derivative of -1 + 0 + 1 + c*x - 12*x**4 wrt x.\nAnswer: -144*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 19 = -82. Let r(p) = 2*p**2 - p - 1. Let b be r(-1). Let z = b - f. Put z, 5, 2 in ascending order.\nAnswer: z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/7, -3, -1\/9, -1 in descending order.\nAnswer: -1\/9, -1, -3, -22\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2805 divided by -91\nAnswer: -2805\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7721380 a multiple of 305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*m - 5. Let u be m\/(14\/1 + -3). Which is the closest to 3? (a) -5 (b) u (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 257521853?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-58)\/(-10) - 2\/(-10). Suppose -s = -k*s + 35. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) 3 (c) -3 (d) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 9\/7, 0.9, 0.4, -11, -8, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3805838288.\nAnswer: 2, 7, 33980699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 106789 and 32501?\nAnswer: 747523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 218471427 to the nearest integer?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-16)\/(-6))\/((-4640)\/22620))\/((-2)\/(-12)*2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 883 is divided by 78?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181, 57, -647, -2213, -4923, -9059?\nAnswer: -14903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1434146162?\nAnswer: 2, 617, 1162193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 995, 862, 679, 422, 67, -410?\n\"Answer: -4*a**3 - a**2 - 102*a + 1102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, 0.5, 18423, 0.2 in descending order.\nAnswer: 18423, 0.5, 0.3, 0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 349176278 a multiple of 8074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2 + 27*y - 32. Calculate n(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-32)*6*(-14)\/3.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t**5 + 105*t**4 - 31765*t**3 - 1104225*t**2 - 2112760*t - 1040400 = 0 for t.\nAnswer: -68, -36, -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2982849301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-9\/2))**(2\/33)\/(f*f**(3\/14)*f*f)**(-23))**(-39) assuming f is positive.\nAnswer: f**(-442377\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-96) + (-1237)\/(-6). Suppose 181 = u + 2*s, 4*u = 5*u - 3*s - c. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven halves of a week?\nAnswer: 924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14.9 - 21. Let g = -1.1 - x. Let f = g + -5.2. What is the second biggest value in 1, f, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + ((sqrt(11) + -1)*-5 - (sqrt(22)*1)\/sqrt(2) - sqrt(132)\/(-1*sqrt(24)\/sqrt(2))))*-4)**2.\nAnswer: -480*sqrt(11) + 4544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29888 and 28785880?\nAnswer: 3736","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:29 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 8*g. Let b(m) = 4*m**2 - 3*m - 2. Let u be b(-1). Suppose 2*q - 4*z + u*z = 9, -3*q + 5*z + 20 = g. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*f + 12*f + 15*f)*(4 + 5 - 4) + 4 - 2*f - 4 - 2*f + 3 - 3 + (2*f - 4*f + 3*f)*(-3 + 5 - 4) - 4*f + f - 4*f in the form j + o*f and give o.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 39407 + -10?\nAnswer: 39397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.007? (a) -0.3 (b) 0.13 (c) -2\/5 (d) 5 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 2*o + 11 - o**2 - o**3 + 1\/4*o**4. Give m(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -8*q - 61. Let o be c(-11). What are the prime factors of 315\/o*(17 - -1)?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2\/11, -1258706 in decreasing order.\nAnswer: 2\/11, -5, -1258706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 62321?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66755558.\nAnswer: 2, 33377779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f - 4 = 3*i, 0 = -4*f + i + 6. Do -2 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 981 and 16961381?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tta when three letters picked without replacement from aaattaaaaa.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 13 = u. Let f = 29 + u. Let c be (10 - 16) + -18*(-6)\/2. Calculate the greatest common factor of c and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.36 - 0.382047802528.\nAnswer: -0.742047802528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((129\/172)\/((-2)\/((-240)\/25)))\/((-6)\/20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2553730, 2553735, 2553740, 2553745?\nAnswer: 2553750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -c, 526*d - 256 = 522*d - 4*c. Sort 2, -1, d.\nAnswer: -1, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -413490\/19 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 7:17 AM?\nAnswer: 9:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - -5. Let w = g + -4.4. Put 4, -5, w in descending order.\nAnswer: 4, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4))**(-38)\/(r**1\/r)**(-7\/4))\/((r**(2\/3))**(-8\/3))**25 assuming r is positive.\nAnswer: r**(971\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -527*j + 523*j**2 - 495*j**2 + 470*j to t + c*j + h*j**2 and give h.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**3\/7 + 825*k**2\/7 - 226875*k\/7 - 5712. Factor z(t).\nAnswer: -3*(t - 275)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3330500 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 545*m - 542*m + 4*k = -19, 0 = -m + 2*k + 17. Factor 12 + 9\/2*z - 75\/4*z**2 + 9\/4*z**m.\nAnswer: 3*(z - 8)*(z - 1)*(3*z + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/25? (a) -0.4 (b) -0.13984 (c) 4 (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 3. Let k(t) = 7*t**2 - 15*t - 73. Let z(p) = 5*b(p) + k(p). Is 35 a factor of z(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 20400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 4:49 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*x = -166*x - 2041*x + 19710 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8094503389 to the power of 1\/5, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1553135 (base 6) in base 9?\nAnswer: -151165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 12 = r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of 4*c**3\/3 + 5*c**2\/2 + 3*c + 6. Let d(l) be the first derivative of l**3\/3 + l**2\/2 + l + 1. Determine -5*d(z) + t(z).\nAnswer: -z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 - -26\/5. Let h = -328654 + 1643286\/5. Solve -s*t**2 - 64\/5 - h*t = 0 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148078525 to the nearest integer?\nAnswer: 12169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d + 18. Suppose 0 = -g + 3*x + 129, -4*x + 188 = -10*g + 12*g. What is the smallest common multiple of g and b(6)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + (-3)\/(-6))\/(4\/40). Suppose -t*v + 395 = 60. Suppose -3*j + v = -5. Does 4 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/10 + ((-21814)\/(-110) - 0). Let w = -200 + a. What is the closest to 0 in -1\/3, w, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28319304 is divided by 812.\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -111110000 (base 2) to base 10\nAnswer: -496","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1686.\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 4 = -76. What is the greatest common factor of 16 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15400*d + 15414*d - 14661206 = 0. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532.8551nm in kilometers?\nAnswer: 0.0000000005328551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/163 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -4*d + 2*d - d. Let k(b) = 7*b**2. Give k(r(m)).\nAnswer: 63*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3343?\nAnswer: 3343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -31, 2, -5 in ascending order.\nAnswer: -31, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -275 * 0.56.\nAnswer: -154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - b - 3*c + 13 = 0, -3*b + 11 = c. Suppose -3*a + 4*i + 10 = 0, a + 3*i + 2 = 1. Let f(n) = b*n + n + a*n. Let k(v) = 2*v**2. Calculate f(k(w)).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 45 (b) 1 (c) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 108253205 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, h: 2, e: 1, o: 2, y: 1}. Give prob of sequence oo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13093439 is divided by 503592.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:05 AM and 10:11 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/9 - 914668*o\/9 - 104577193778\/9.\nAnswer: -2*(o + 228667)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 + 109. Solve 2*o + 5*q = -g, -3*q + 5 + 1 = 5*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h. Let j be n(-1). Which is the third smallest value? (a) -12 (b) j (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 2:51 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.1243 - 0.1243. What is the fourth smallest value in -7, 2\/3, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-24)\/42)\/(-4))\/((-4)\/(-4))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11471514671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -23. Let j be 7 - z\/((-3)\/2). Suppose 3*c - 2*w - 44 = 3*w, 2*c - j*w = 31. Solve -3*b = -2 - c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 1514 + 1429 = 0 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 286000 to the nearest ten thousand.\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z - 100. Calculate f(25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2472*-31.1\nAnswer: 76879.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of v**4\/4 + 3*v**3\/2 - 9*v**2\/2 - 5*v. Is z(-10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 10 = s, -3*j = -247 + 238 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k**3 - 6*k**2 + k - 1. Let g be n(3). Suppose -2*x - 6 + 48 = -3*r, -4*x + g*r = -84. What is the highest common factor of x and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaayyazyjza. What is prob of sequence yzy?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16678*p**5 - 9787*p**2 wrt p.\nAnswer: -1000680*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 + 25. Suppose -11*y + 17*y - 2640 = j. Is y a multiple of 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 360745 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17662 = 7*w - 44456. Suppose -31*o + 40168 = -w. List the prime factors of o.\nAnswer: 2, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -15*o**4\/4 + 565*o**3\/4 + 4015*o**2\/4 + 7215*o\/4 + 495 = 0.\nAnswer: -3, -1\/3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 6 = -g, -4*n = 4*g - g - 22. Let c(a) be the first derivative of -a - 1 + 1\/2*a**g. Find the first derivative of c(w) wrt w.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 13 - 43 = 0. Let a = -2 - y. What is the third smallest value in 0.07, 5, a?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, c: 1, z: 2, u: 4, p: 1, m: 2}. What is prob of sequence bu?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 11, i: 9}.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -2161, 1, 2 in decreasing order.\nAnswer: 25, 2, 1, -2161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5091, 20378, 45857, 81528, 127391, 183446?\nAnswer: 249693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/138774 and 57\/10.\nAnswer: 693870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -c - c + 41, -4*k = -12. Let w = c - 5. Calculate the remainder when 21 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -518116 <= -518116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - r**2 - r + 7. Suppose 25 = 2*u + 6*a - a, 5*u - 48 = 2*a. Suppose 4*b + u = 10. What is w(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -35.91 - -15.34. Let l = q + 21.449. What is l rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - 8*b**2 - 84*b + 40 - 21 + b**2.\nAnswer: -7*b**2 - 84*b + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 20, 11, 0, -13, -28?\n\"Answer: -m**2 - 6*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 3*x = -1395. What is the second derivative of -47*k**2 + x*k - 21*k - 26*k wrt k?\nAnswer: -94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.5 + -2.48. Round u to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from xxxtttxtttxt.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*a**2 - 65*a**2 + 286*a**2 - 139*a**2 - 60*a**2.\nAnswer: -42*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (11409\/4)\/(36\/48) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4077 is divided by 47.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-52)\/(-6) - 1\/(-3). Let u be (c\/12)\/((-2)\/8). Let w(x) = -x**3. Let t(q) = q**3 - 1. Calculate u*t(d) - 2*w(d).\nAnswer: -d**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11222102202 (base 3) to base 11.\nAnswer: -676a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 397241 and 12779?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 29988\/(-588)*2\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 1181*y + 9448. Calculate l(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8\/3)*p)**(13\/5) assuming p is positive.\nAnswer: p**(-13\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - h**2 - h - 2. Let w(c) = 5*c**3 + 3*c**2 - 18*c - 17. Let b(p) = 3*q(p) - w(p). Let l be ((-30)\/35)\/(1\/7). What are the prime factors of b(l)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*2*sqrt(5) + (1 + sqrt(5))**2 + 1 + sqrt(5) + -3).\nAnswer: -35*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3464*t + 273. List the prime factors of x(-2).\nAnswer: 19, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203*n**2 - 124*n**2 + 54009 - 54009 - 147*n**2 + 388*n**2.\nAnswer: -86*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 242, 393, 544?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g. Let x(c) = 5713 + 3*c**2 - 5707 + c**3 + 0*c + 4*c. Let n be x(-2). Give q(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 202*o**2 + o - 36. Let a(k) = -4*k**2. Calculate z(a(t)).\nAnswer: 3232*t**4 - 4*t**2 - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1131 and 33111?\nAnswer: 960219","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/224 and 74\/681.\nAnswer: 152544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000788 to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 + 3 = 453*p - 387*p - 5*o, p = 3*o - 6 - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 2*o - 10, 2*z + 46*o = 42*o + 2. What is the closest to -6 in z, 5, -5, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 17*u + 174. Let n be m(-10). Which is the third biggest value? (a) 5 (b) 25 (c) -4 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13216 and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) -2 (b) -0.1 (c) -0.39 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4112*i + 4117*i = 80. Sort 0, i, -8 in descending order.\nAnswer: i, 0, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, x: 7, q: 3}. Give prob of picking 1 u and 2 q.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)*f*f**(-1\/3))\/(f**13\/(f**12*f*f*f)))**40 assuming f is positive.\nAnswer: f**(-160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 810 and 336150?\nAnswer: 336150","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/5 (b) -3 (c) -132 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 60.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/343638 and -52\/34969.\nAnswer: 706863366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171\/4 - 43. What is the second smallest value in -4\/7, a, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 199 - 197. Suppose 2 = 4*q - 5*q. Put -3, b, q in descending order.\nAnswer: b, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 14*n + 35 = 0. Is (-2)\/(-7)*(n + 576) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.048513*2\nAnswer: 0.097026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 11:10 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iix when three letters picked without replacement from {x: 3, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 177 and 2.727.\nAnswer: 482.679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6938*q**2 + q - 20892*q**2 + 6963*q**2 + 6958*q**2.\nAnswer: -33*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4366*j + 22469 = -1131*j - 77816 for j.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n*s**4 + 4*n*s**3 + 3*n*s - 41*s**6 - 168*s**2 + 2 wrt s.\nAnswer: -24*n*s + 24*n - 4920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11599 - -11602. Put 4, -133, h in ascending order.\nAnswer: -133, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 224 and 308.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - o + 2, 6*o - 10 = 5*t + o. Suppose t = 4*g + 16, -3 - 28 = -5*p - g. Which is smaller: 23\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(605) - (5 + sqrt(605)))**2 + -4 - (sqrt(605) + -5 + -5)) + 1.\nAnswer: -61 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5045457314?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -277, -454, -631, -808?\nAnswer: -985","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -36364402*s**2. Let u(w) = 2*w**2. Calculate y(u(m)).\nAnswer: -145457608*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, k: 3, v: 11, c: 1, i: 1, s: 2}. Give prob of sequence ksa.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(228)*-5 + sqrt(228))\/(sqrt(12) + sqrt(48)*2).\nAnswer: 11*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -66937.38 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -662, -4565, -11072, -20183, -31898, -46217?\n\"Answer: -1302*o**2 + 3*o + 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000020082353 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4 + 314*q - 1 - 328*q. Calculate the lowest common multiple of g(-1) and 21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*x + 4*x + 4 + 2*x - 2*x**3 + x**3 in the form p*x + m + v*x**2 + b*x**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*s**3 - s**2 - s**2 - 19 + 20 + 7*s - 4*s**3 + 9*s**3 to the form t*s**3 + v*s + z + k*s**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-1)\/(-28)) + -210983 + 210925?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 616 and 420508928.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6222 and 90.\nAnswer: 93330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30027421.\nAnswer: 30027421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*l**5 + l**3 + 400*l**2 + 86*l - 210?\nAnswer: -540*l**3 + 6*l + 800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 35640.949\nAnswer: 178204.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12653, -25323, -37993?\nAnswer: -50663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -109 - -319. Let l be (2 - 0)*25\/y. Let j = -3\/7 - l. Which is greater: j or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 9*q + 6. Let m(i) = -8*i - 5. Let p = -13 - -18. Let h(a) = p*m(a) + 4*u(a). Let b(x) = x. What is 6*b(v) + h(v)?\nAnswer: 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*h - 30, -7*h = 4*o - 2*h - 26. Let z(x) = o + 8*x - 10*x - 1 - x**2 + 85*x**3. Is z(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/(-1445))\/(33\/(-561))\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4445409 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/1 + 8*1. Suppose -w + 15 + 18 = 0. Calculate the highest common factor of w and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-9 - -4)*2\/(-5). Suppose -8 = c*v - 2, -3*v = -q + 9. Which is greater: q or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5483518443.\nAnswer: 3, 13, 73, 197, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -74\nAnswer: -1\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*z - 343021 = -343543 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 2*v - 5*s + 11 = 0, -5 = 5*s. Let p(n) be the first derivative of -3 + 3*n + v*n**2 + n**2 + 3*n - 3*n**2. What is the derivative of p(z) wrt z?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4907609?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6888.414g to nanograms.\nAnswer: 6888414000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1c0a4 (base 14) to base 4\nAnswer: 101131000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 20 = -5*a, 2*a - 5*a = -4*x - 12. Solve 4*n = a*g - 20, 0 = -g - 0*g - n + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -6*o. Let i(u) = 15*u + 76. Let t(x) = 15*x + 73. Let r(v) = 4*i(v) - 3*t(v). Let y(z) = z + 6. Let a(k) = 6*r(k) - 85*y(k). What is a(g(j))?\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1431*m - 4*n = -1435*m + 12, -34 = -4*m - 5*n - 13 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 65 = -4*b, -55 = -3*b - 0*c + c. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 9*u + 18. Let f be h(8). Let s(o) = o**2 - 2*o - 5. Is 15 a factor of s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*b**2*h**3*o**2 + 209*b**2*h**3 - 703*h**3*o**2 - 3*h*o wrt o?\nAnswer: -4*b**2*h**3 - 1406*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**7*f*f**(1\/7)*f)\/(f**1\/(f*f**(2\/9))) assuming f is positive.\nAnswer: f**(590\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2326 - 1?\nAnswer: -2327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -60.\nAnswer: -300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31612 (base 8) to base 15.\nAnswer: 3d99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6159 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*x + 303*x + 60*x + 350*x in the form q + k*x and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -5090, -5\/3, -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -0.59?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9 times -23393?\nAnswer: -161411.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d**4 + 2*d**3 - 1639691*d**2 - 40150015 wrt d?\nAnswer: 4*d**3 + 6*d**2 - 3279382*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 divided by -25?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 73*13271\nAnswer: 968783","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 5*n + 24. Suppose 0 = 4*t + 4*b - 276, -n*t + 2*t + 273 = 5*b. What is the greatest common factor of t and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 42 = 5*w, 2*k - 7 - 3 = -3*w. Let g be (0 + 3)*k\/6. Let z(y) be the first derivative of -y**2\/2 + 4*y - 2. Determine z(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 m when two letters picked without replacement from vzcvvvwhvvzvhmccc?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74567*l**4 + 75*l**3 + 28594289?\nAnswer: -298268*l**3 + 225*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 191655, 383309, 574963?\nAnswer: 766617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 s when two letters picked without replacement from mmmkmkrmsrkrrrr.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 4*h + 5 = 0, 3*x - 3*h + 2 = -7. Let a be ((1*-2)\/1)\/x. What is the second derivative of -j - a*j**4 + 2*j + j**4 wrt j?\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 721708 and 1508?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23 + 14 - 18) + -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + c = -1032. Let x = c + 82. Let y be (4\/10)\/(21\/x). Which is bigger: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 5*z + 1, 4*y - y = -3*z + 9. What is the second derivative of 0*m + m - 3*m - y*m**5 - 2*m**5 wrt m?\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 7437*h - 6 - 2*h**2 + 157*h + 2*h**2 - 2*h**3.\nAnswer: -2*h**3 - 7280*h + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22*q + 0*q**5 - q**5 - 11*q**5 - 14*q wrt q.\nAnswer: -240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (6\/7)\/(14\/196)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 6, 11, 16?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*f**2 - 190*f + 190*f + (0*f + 3*f - f)*(f - 1 + 1) - 3*f**2 - 2*f**2 + 3*f**2 + (f + 4 - 4)*(1 - 1 - 2*f).\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/8 - (-5 + (-114)\/(-24))\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(416)*1)\/sqrt(8))\/(-3*sqrt(64) + sqrt(4)))**2.\nAnswer: 13\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -6. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-194)\/((-4656)\/36)*((-8)\/(-3))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 252*w**3 - 5*w**2 + 15*w. Let i(j) = -253*j**3 + 6*j**2 - 18*j. What is 5*i(v) + 6*u(v)?\nAnswer: 247*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -33*k + 464. Let u be s(14). Solve 0 = -5*x + 5*l, -2 = -5*x - u*l + 19 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 915+-20361569.504\nAnswer: -20360654.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 705 and 6?\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 213071 and 47499?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 2:05 AM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 100 = -92. Let h be (-1)\/b - (39\/(-4) + -6). Suppose 0 = h*v - 8*v - 800. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -4, 5, -3 in ascending order.\nAnswer: -4, -3, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 39 times -2\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**6\/3 + 195*z**4 + 23*z**2\/2 + 9*z - 2334. Find the second derivative of p(c) wrt c.\nAnswer: -40*c**3 + 4680*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 110 in 66503, 0.5, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6374*z + 6376 wrt z.\nAnswer: 6374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 8523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 96524309 is divided by 719.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -928084?\nAnswer: -92807d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 g when three letters picked without replacement from {y: 1, g: 1, d: 1, m: 1, n: 3}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u + 8 + 7*u - 2. Suppose 4 = -8*q - 28. Determine d(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o\/(o*o*((o\/o**(-1))\/o)\/o)))**(-1\/70))**(19\/3) assuming o is positive.\nAnswer: o**(-19\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2 - 5312*k - 145600.\nAnswer: -4*(k + 28)*(k + 1300)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhah. Give prob of sequence hahh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322 and 231610.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/3 and (-5)\/(4830\/13) + (-9)\/54?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3721*y**2 + 4*y - 4. Let r(q) = 31152212*q**2 - 33489*q + 33489. What is 33489*i(a) + 4*r(a)?\nAnswer: -3721*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10859.\nAnswer: 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/9))**(2\/3))**17\/(t**(3\/2)*t**5*t**(6\/7)*t*t**(-2\/7)\/t*t) assuming t is positive.\nAnswer: t**(-4003\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5612910430 to the nearest integer?\nAnswer: 1777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8086931?\nAnswer: 8086931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281390 is divided by 49.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*a + 35*a = 1701*a - 81708 for a.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*t - 4333, 2*t - 761 = 5*z + 968. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8924 is divided by (372\/8)\/(32\/256)?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 + 57*r - 6511. Give h(-114).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8186, -8178, -8170, -8162, -8154, -8146?\n\"Answer: 8*r - 8194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (86\/8 - 3).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (467397\/12365)\/(3\/40). Let p(z) = -100*z + 4. Let c be p(-5). Is c > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13, -23, -35, -49, -65, -83, -103?\n\"Answer: -q**2 - 7*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -16*m**3 - m**2 + 3*m + 2. Let l(f) = -f**3 + f + 1. Calculate g(u) - 2*l(u).\nAnswer: -14*u**3 - u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 117*n - 111. Calculate q(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -36*a**2. Let f(i) = -10646882*i**2. Give z(f(m)).\nAnswer: -4080819467589264*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/156 and 79\/429?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91534486*a**5 + 2*a**2 - 28994244 wrt a.\nAnswer: 5492069160*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 101733 = 3*m, 129*m = 125*m - 4*k + 135708. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 273 divide 840840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4118 and 12932.\nAnswer: 26626988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16076 - 0.5?\nAnswer: 16075.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1282 + -1282.519. Let s = u + 0.51899599. What is s rounded to 6 decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 44000 + -44005. Which is the nearest to -0.08? (a) -2\/9 (b) -0.016 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - 1 = 21 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9157557 is divided by 120?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 13955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1100 + -1100.3. Suppose 0 = q - 4, 3*w - 16 = -0*q - q. Let c be -3 + 1 - (w - 4). Put -5, 1, s, c in increasing order.\nAnswer: -5, c, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 - 74*h**2 - 988*h - 79727. Calculate j(-75).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 4*k)*(1 + 1 - 1 + (2 - 1 - 2)*(2 + 2 - 6))*((0 - 1 + 4)*(-k + 2*k + 0*k) + k + 3*k - 2*k) in the form u*k + c + h*k**2 and give h.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*h**4 + h**4 + 0*h**4 + (36*h + 11*h + 21*h)*(0*h**3 + 4*h**3 + 0*h**3).\nAnswer: 275*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 497, 499, 501?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -s**4\/4 - s**3\/3 + 536. Let l(z) = 42*z**3 + 56*z**2. Give -56*k(g) - l(g).\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 17*x. Suppose -26 = 2*n - 3*n + 3*q, 19 = 4*n + 5*q. Suppose -4*o - 3 = -n. Solve 2*j + x*j = o for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*q - 5*v, 2*v - v = -q + 7. Let y = 20 - 34. Let l be q + (-12)\/y + -3. Put l, 1, 0.1 in ascending order.\nAnswer: l, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 381.297 - 382. Let i = 59.303 + g. Let m = -50 + i. Round m to zero decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 7:54 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3611 - 1037 = 143*i for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -37*-16.57\nAnswer: 613.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/147 and -149\/6?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1104313*q**3*y + 2*q**2*y**3 - 1595*y**3 - 35*y**2 + 5*y - 4 wrt q?\nAnswer: 3312939*q**2*y + 4*q*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3640 (base 15) in base 10?\nAnswer: -11535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0131*-9888.\nAnswer: 129.5328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 3*v**2 + 168*v - 1583233. Determine s(-755).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of y**3 + 39621*y**2 + 22020 wrt y.\nAnswer: 3*y**2 + 79242*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k**2\/3 - 394*k\/3 - 53369 = 0. What is k?\nAnswer: -249, 643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92618 is divided by 18410?\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, e: 2, w: 2, r: 3, k: 1, s: 1}. What is prob of sequence kre?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/4 - ((-85)\/20 + -4). Suppose -3*d = 4*t - 402, -6*t + z*t = -4*d + 196. Is 34 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)*a)**19\/((a**(-7)\/a)\/(a**1*a)) assuming a is positive.\nAnswer: a**(183\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilogram in grams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10634\/3 - -3550. Factor g*z**3 + 256\/3*z - 32*z**2 - 256\/3 - 1\/3*z**4.\nAnswer: -(z - 4)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5.74 and -14362.\nAnswer: 82437.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -9. Suppose -h + 3*h + b*u - 151 = 0, 0 = 3*h + u - 237. Suppose 0 = 4*o + z - 150, 2*z + z = -2*o + h. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18288867 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2188 + -1469. What are the prime factors of n?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 8488 = -30358. Suppose 393 + s = 15*k. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/8)\/(n\/(((n\/(n*n**(-2\/5)))\/n)\/n)*n*n*n))\/((n*(n\/(n*n**(-6)))\/n*n)\/n**(1\/9)) assuming n is positive.\nAnswer: n**(-4451\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*x + 54, 2*x = -x + 9. Let b be 54\/o*(-4)\/(-6). Suppose -b*r + 2*r + 24 = 0. Is r a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b - 1 + 1)*(-3 + 2*b + 3 + (b - 5*b + 3*b)*(1 - 5 + 5))*(15 - 15 + 2*b**2).\nAnswer: 4*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6191b + -147?\nAnswer: -61a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (7 + -13 + 2 + 9)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1015817221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5 + 18 + 12*j + 29*j - 27*j + 67*j. Let d(u) = -41*u - 6. Give 6*c(y) + 13*d(y).\nAnswer: -47*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 113 = -4*y, 2*k - 2*y = y + 59. What is the remainder when k is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - q + 80 = 0. Let h = q + -4. Let z = 0 + h. Does 11 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2))**28*(s\/((s*s**(-2\/3))\/s)*s)\/s**(-5\/2)*(((s\/(s\/((s**(6\/11)\/s)\/s*s)))\/s)\/s*s**4*s*s*s)**(3\/8) assuming s is positive.\nAnswer: s**(-941\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*244\/(-4)*1. Let a = i - -151. Round a to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z**3\/4 + 215*z**2\/2 - 9065*z\/4 = 0 for z.\nAnswer: 0, 37, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/2 of a year?\nAnswer: 174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*(-392)\/(-245)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 28, 20 in increasing order.\nAnswer: 3, 20, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, v: 9, a: 1, x: 1}. What is prob of picking 1 a and 1 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 - 9525963*k**2 + 7562002352760*k - 7561992826800.\nAnswer: 3*(k - 1587660)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b**2 - 29*b - 261*b + 290*b.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -49*v**2 + 17*v**2 + 18*v**2. Let j(i) = 3*i**2. Give h(j(c)).\nAnswer: -126*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4532850 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 171020622?\nAnswer: 171020618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 229*z + 81. Let p be m(-1). Does p = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 519*z**3 - 2*z**2 + 2. Let k be ((-10)\/(-10))\/(4 - 3). What is the hundreds digit of b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18479725 divided by -1679975\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v**2 + 3*v - 3. Let u be s(3). Let z be 9\/231*4580\/u. Let g = 74\/11 + z. What is the common denominator of 111\/28 and g?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 187, 176, 167, 160, 155, 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-4) + ((-3942)\/8)\/(-9). Suppose 124 = 4*l + 5*c, 4*c = 5*l + 3*c - 184. Calculate the highest common divisor of l and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8249?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -64494 times -3?\nAnswer: 193482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4009*o + 3883*o - 15288 = 7724*o for o.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 102.07736 times 0.5?\nAnswer: 51.03868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - 2. Let r(o) = -58*o + 2316. Let u be r(40). Put x, 1, -3, u in descending order.\nAnswer: 1, -3, u, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -11203361 and -4.\nAnswer: -11203365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 3:49 AM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t + 3*t + 3*t**2 + 1 + t**2 - 3*t. Let h be w(-3). Let u = 43 - h. Calculate the remainder when 57 is divided by u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/4 + 19*k**4\/4 - 7*k**3\/4 - 127*k**2\/4 + 57*k\/2 = 0?\nAnswer: -19, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004124833285 rounded to five decimal places?\nAnswer: 0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 7287 - 22458 = 5*s, -5*y - 5*s = -37840. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -184*r**3 + 42*r**2 - 6*r - 5. Let t(u) = -554*u**3 + 119*u**2 - 17*u - 14. Calculate -34*o(h) + 12*t(h).\nAnswer: -392*h**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t = -37*t. Let s be (0\/(-5))\/(t + 1). Solve s*f + 1 = f - p, 2*f - 3*p + 1 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110574, -221140, -331704, -442266?\nAnswer: -552826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.02 + -2. Let t = 1.98 + y. Let q = t + -4. Which is the second biggest value? (a) -5 (b) q (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248655 is divided by 124312.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 7*n + 2*n)*(-2*n**3 + 4*n**3 + 0*n**3)*(0*n - 2*n + 5*n).\nAnswer: -30*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11816, -11806, -11784, -11744, -11680, -11586, -11456?\n\"Answer: k**3 + 3*k - 11820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 + -2 + 0)*4. Suppose -x + 3*x - d*x = 0. Sort -5, -3, 1, x in decreasing order.\nAnswer: 1, x, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101662192, -203324382, -304986572, -406648762, -508310952?\nAnswer: -609973142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 90 - -51. Suppose -s = 3*a - 5*f, -5*f + f - 156 = 4*a. Is 12 a factor of 2 - 0 - (a + 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-2))\/m**(1\/5))\/(m\/(m*((m**(2\/7)*m*m)\/m)\/m))**(-11)*m**(-2)*m**1*m**1*(m\/m**(3\/4))\/m*m assuming m is positive.\nAnswer: m**(-573\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a hour in minutes?\nAnswer: 1065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:48 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 879652619 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 3*t + 30. Let s be p(-7). Factor 3\/2*f**s + 3\/2*f**3 - 3\/2*f - 3\/2.\nAnswer: 3*(f - 1)*(f + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6480 = 331*q - 2280 - 22 - 817 for q.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3\/(b\/(b**5\/b)))\/(b\/(b**(2\/9)\/b*b)*b\/(b*b\/(b*b**(-1\/4)*b*b*b))) assuming b is positive.\nAnswer: b**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 2*r + 56 = -106, -2*j + 5*r = -177. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -17 (c) 1\/2 (d) 2\/3 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (((-192)\/14)\/(-4))\/(4\/154)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1262\/(-72) - (-2)\/(-9). Let q = 18 + p. Factor 1\/2*x**3 + 1\/4*x**4 - q*x - 1\/4*x**5 + 1\/4 - 1\/2*x**2.\nAnswer: -(x - 1)**3*(x + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.221617 months in years?\nAnswer: 1.43513475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k - 2. Let b be l(1). Let q(p) = 3*p. Give q(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3296 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -229415.95289 - 2787.\nAnswer: -232202.95289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -18*v**3 - 614*v**2 - 70*v - 83. What is b(-34)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 32. Let m(a) = -a**2 + 14*a - 3. Let t(g) = g**2 - 9*g + 2. Let p(j) = z*m(j) + 8*t(j). List the prime factors of p(-5).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 4, 20, -3, -59 in decreasing order.\nAnswer: 20, 4, -3, -35, -59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3734\/849 or 1?\nAnswer: -3734\/849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10877, -21773, -32669, -43565, -54461?\n\"Answer: -10896*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4538*v - 4522*v - 64 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*z = -0*s + 13, -3*s + 6 = -4*z. What is the units digit of ((-1)\/s)\/((-1)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 15 = -15. Suppose -1995*l + 2019*l - 4944 = 0. Calculate the remainder when l is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 1, 4, -1\/4, 303\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - 2*sqrt(448))*1.\nAnswer: -15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 268131 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -22 + 5374*b**2 + 30 - 92 - 975 wrt b?\nAnswer: 10748*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79\/2 of a litre?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -65*(-14)\/182 + 19\/(-2). What is the fourth smallest value in 3, 0, -5\/6, m, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261093 a multiple of 357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298474717?\nAnswer: 7039, 42403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -3230.6 to the nearest 10.\nAnswer: -3230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2402 in -1, -5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z\/(z\/z**(3\/5))*z)**49 assuming z is positive.\nAnswer: z**(1127\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 3 - 0. Let y = u + 3. Suppose -8 = 2*a - y*a. What is the remainder when 6 is divided by a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.01 (b) -1\/2 (c) 1\/4 (d) 2\/5 (e) -7 (f) 5 (g) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/45*(-42)\/(-140).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115 + 63 + 231*y + 13*y**3 - 468*y + 237*y + 59.\nAnswer: 13*y**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9505538 times -5?\nAnswer: -4.752769","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41343642.\nAnswer: 2, 3, 765623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357 = g + 358 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -h - 6. Suppose -4*g = -x + 1 - 2, -h = g + 3*x. Suppose a + g*d - 4 = d, a = -4*d + 9. Solve -5*f + 13 = -0*f + 3*m, a*f + 4*m = 9 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 1.557.\nAnswer: -0.3114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0188 - 4146805877?\nAnswer: -4146805876.9812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 take away 95196.3374?\nAnswer: -95197.5374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*r = -b - 14, r + 15 = -5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2474 + -1682. Does 21 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 11) in base 16?\nAnswer: -2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 - 11*r**2 - 1588*r + 11312. Calculate q(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p**3 + 48524*p**2 - 97060*p + 48532 = 0.\nAnswer: -12133, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106 and 212.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -178016.5 rounded to the nearest 1000?\nAnswer: -178000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193*f - 395*f - 417*f - 410*f + 24*f**3.\nAnswer: 24*f**3 - 29*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 175*v**2 - 83*v**2 - 90*v**2.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11001000101 - -101?\nAnswer: 11001001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -295, -585, -881, -1183, -1491, -1805?\n\"Answer: -3*h**2 - 281*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -487213*n + 5 + 487273*n - 5 - 25*n**2 to the form a + z*n**2 + w*n and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9798226 is divided by 616?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 27265757987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, h: 1, b: 6, d: 4}. What is prob of picking 2 u?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 26631 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.61 - 23.01. What is the nearest to 0.1 in 0.3, -1, c, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and 0.94?\nAnswer: 0.1222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 w when two letters picked without replacement from {k: 2, w: 1, v: 2, d: 1, p: 1, a: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + p**2 + p + 3. Let c be m(0). Solve -c*g - 5 - 4 = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 3*f - 10. Let t be m(7). Let z(w) = -w + 39. Is z(t) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-36))\/(((-28820)\/(-1232) - 24)\/(2\/6)).\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17 or -478?\nAnswer: -478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1530 (base 11) to base 14.\nAnswer: -a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93322, -187165, -281008, -374851?\nAnswer: -468694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = h - 6, 5*h + 30 = v + 16. Solve 2*j + 10 = -k, -3*k = -v*j + 9*j + 26 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + 2 + -2 + (0 + 21 - (-171 + 200))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -251\/3. Let o = 791 - 29265\/37. Let g = 116\/777 - o. Which is the smallest value? (a) 2\/7 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.63*1.2\nAnswer: 0.756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -10\/27, 12, -2 in ascending order.\nAnswer: -2, -10\/27, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of -d**4\/4 - 2*d**3 - 3*d**2\/2 + 12*d - 386. Determine o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 118*f**2 + 239*f**2 + 205*f**2 - 2*f**2 - f**2 + f**2 + (0*f + 0*f - f**2)*(2 - 5 + 5) as t*f + n + s*f**2 and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/100045 and 14\/9095.\nAnswer: 100045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -373283812*q**3 - 1193*q**2 - 2401*q?\nAnswer: -2239702872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2668*r*u + 48021*r - 517510180*u wrt r?\nAnswer: 2668*u + 48021","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12651\/1912 - -2\/239. What is the common denominator of 83\/52 and x?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**3\/2 + 547*h. Let m(x) = -81*x - 33. Let r(l) = -10*l - 4. Let p(f) = 4*m(f) - 33*r(f). Calculate y(p(a)).\nAnswer: -18*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 11) to base 9\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 86 + 62 = 0. Suppose -c + 21 = 2*o, -c = 3*o - x - 13. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13339, -13770, -14203, -14638, -15075, -15514, -15955?\nAnswer: -16398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 3*v - 4. Let r be t(-4). Let s = -297 - -302. Solve r = -m - s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**4 - 4*g**3*o - 13*g**2*o*z + 18*g*o + 10*o*z + o wrt g.\nAnswer: -48*g**2 - 24*g*o - 26*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4 or -2328\/487?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s - 2. Let q(k) = -9*k + 5. Suppose -2*n + 12 = 3*j, -2*j - 3 = -3*n + j. Give n*q(t) + 5*b(t).\nAnswer: -2*t + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 54. Let f be z(-9). Let i(x) = -23*x**2 + 6*x - 6. Let j be i(f). Is ((-3)\/6)\/((-9)\/(-6))*j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 > -137?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-169)\/((-11830)\/1400))\/5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, -4, 740581, -1 in descending order.\nAnswer: 740581, 6, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-114)\/(-456))\/(19201\/115208*-6 + 1)?\nAnswer: 14401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28138678 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2353 take away -0.02997799?\nAnswer: 0.26527799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 12 = 3. Let s(l) = 9*l**2 + 2*l. Let f(r) = -18*r**2 - 5*r - 1. Let j(v) = 4*f(v) + 9*s(v). Is j(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 44*y - 50*y + 91*y.\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-198)\/(-55))\/(-2 - (-24)\/15).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-30 + -1 + 17)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(847)*2 + -5) - ((sqrt(847) + 1 - sqrt(847)) + -5 + 1 + sqrt(847) + sqrt(847)*-2)**2)*4*-3 + 3.\nAnswer: 1320*sqrt(7) + 10155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rbyz when four letters picked without replacement from {r: 1, g: 3, z: 3, b: 2, y: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*b**2*t**2 + 2*b**2*t + 3*b*t + 9*t**2 wrt b?\nAnswer: 12*b*t**2 + 4*b*t + 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 - 2)*(1 + -24). Let t be 6\/(-4)*h\/6. Suppose -d + t = d. Is 23 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -8*(-2)\/(4*1). Let i = -413 + 411. Let o be 20\/5 - (2 - i). Put 2, -5, o, s in ascending order.\nAnswer: -5, o, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9130 (b) -0.5 (c) -43\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2895.679nm to millimeters.\nAnswer: 0.002895679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/(-2) - (-2)\/(-4). Let o(f) = 13*f - 9. Let k(x) = -6*x + 4. Let m(r) = i*o(r) - 9*k(r). Let s(b) = 2*b**2. What is m(s(t))?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 952, 939, 918, 889, 852?\nAnswer: 807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1288*h - 1755 - 31024 = 20029 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -1. Let f(d) = 16*d - 2. Let u(g) = -c(g) - f(g). What is the tens digit of u(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 9*c**2 - 10*c + 4. Let d be t(-10). Suppose 0 = -d*n + 20, i - 5*i + 18 = 2*n. Calculate the remainder when (1 + -3)*(-5)\/2 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 18 = -y, 3*y - 11 = -5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*q - 10*q - 6. What is the second derivative of 25*w + 868*w**2 + 26*w**4 - 868*w**q wrt w?\nAnswer: 312*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*c + 12. Let i = -6 - -9. Suppose i - c = -g. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14061739 is divided by 220?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15952.384 + 19106.4172. Let x = -3168.033179 + p. Let s = x + 14. Round s to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a**2 - a + 39. Let q(z) = -9*z**2 - z + 38. Give 6*q(v) - 5*r(v).\nAnswer: -4*v**2 - v + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 + 3*u + 5. Let k be n(4). Suppose 3*g + 5 + 16 = 0. Let y be (-2 - -2) + (-2)\/g. Is k greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 12 = -2*d, -5*d = v + 11 - 3. Let j(y) be the first derivative of 5*y**2\/2 - 4*y - 24510. Give j(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-32)\/(-60))\/((-2)\/(-5)))\/4.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**3 + 29*l**2 + 37*l**2 - 6*l**2 - 44*l**2.\nAnswer: -l**3 + 16*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23145, -24030, -24917, -25806, -26697, -27590, -28485?\nAnswer: -29382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2411 - 2389. Which is bigger: 23 or w?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + 4 + -3 + 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3230, -12655, -28226, -49937, -77782, -111755, -151850, -198061?\n\"Answer: s**3 - 3079*s**2 - 195*s + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f. Let w be x(0). Let u be -5*(2 - w)\/(-2). Let y = u + 2. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10065, -10072, -10081, -10092?\nAnswer: -10105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/1428 and -55\/19959.\nAnswer: 9500484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (129*s**3 + 185*s**3 - 70*s**3)*(20*s + 33 - 33) - s**2 - s**4 + s**2 in the form t*s**4 + x*s + k*s**2 + i*s**3 + b and give t.\nAnswer: 4879","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Calculate the lowest common multiple of 140 and 70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(10)\/(sqrt(25)\/sqrt(5)))**2 + (4*sqrt(4)\/sqrt(2))**2.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -141*p**4 - 6*p**3 + 1759*p**2 + 1?\nAnswer: -3384*p - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 r when two letters picked without replacement from ddddxrrdddrdddd?\nAnswer: 11\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14931124?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -6d2 (base 14) to base 8\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21122 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*((-2*sqrt(320) - sqrt(320)) + sqrt(320)) + 1) + 4*(sqrt(405) + 1 + -1 + -3 + 2*sqrt(405)))**2.\nAnswer: -1080*sqrt(5) + 18081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/11)*g*g**(-3\/2)*(g*g**(4\/7))\/g*g**(-1\/4)*((g*g**(1\/8)*g*g)\/g*g\/(g*g\/g**1))\/(g**2*g*(g*g**3*g)\/g) assuming g is positive.\nAnswer: g**(-3057\/616)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*j**2 + 171*j - 117*j + 139*j.\nAnswer: -6*j**2 + 193*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -1633 and -0.15.\nAnswer: -1633.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 10\/83 (b) -1\/7 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.28 + -0.092. Let h = 0.172 + o. Which is the biggest value? (a) h (b) -7\/2 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -35*c**2 + 2 - 13*c**2 + 47*c**2. Let k(l) = -3*l**2 - 7*l + 11. Let x(p) = -2*p**2 - 3*p + 6. Let a(r) = -3*k(r) + 7*x(r). Give 2*a(u) - 9*o(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*y + 5*y + y - 53*y)*(0 - 2*y + 0 + (-4*y - y + 3*y)*(5 + 0 - 4) + y - y - 4*y + 3*y + 1 - 1).\nAnswer: 325*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -150422, -150421, -150420, -150419?\n\"Answer: v - 150423","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + k - 1. Let s(o) = 3*o**2 - 4*o + 2. Let m(r) = -4*i(r) + s(r). List the prime factors of m(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 24336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(49)\/sqrt(7)*3 + sqrt(7) + (sqrt(7) - (sqrt(448)*-1 - sqrt(7))).\nAnswer: 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -6*3\/9 + 2. Factor 1\/5*j**3 - 2\/5*j**4 + n*j + 0 + 1\/5*j**5 + 0*j**2.\nAnswer: j**3*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111111010001001 - 101?\nAnswer: 1001111111010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8*q = 24. Let k(y) = -y**3 - 8*y**2 + 4. Let c be k(q). Solve -w + 5*p = -2 - 11, -c*p - 4 = -4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**4\/24 - b**3\/6 - 2*b**2. Let g(k) = k**2 - k - 1. Let q be g(-2). Suppose q = 7*r - 2*r. Give p(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2370 - 639 = 3*d - 3*q, -4*d + 2*q + 2300 = 0. Suppose 0 = -4*j + 5*j - d. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, 0.4, -7\/2, -1\/15, -4, -743, 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 6 - 2*b)*(-2*b**2 + 9*b**4 + 4*b**2 + 59*b**3 - 10*b**4).\nAnswer: 2*b**5 - 118*b**4 - 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 19 = -d + 2*m, -3*d + 18 = 4*m. Let s = d + 16. What are the prime factors of s?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 + 17. Suppose 0 = 8*y - 11*y - 15. Is y less than or equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 333724459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 1001030*p**2 - 12012900*p - 36039240.\nAnswer: 5*(p - 200218)*(p + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/6, -10, -0.1, -2\/7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*g + 358 = 160 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3*r**4\/8 + 111*r**3\/8 + 423*r**2\/4 - 420*r + 300 = 0.\nAnswer: -20, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from {f: 9, v: 9}?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4 - 494*c**3 + 60513*c**2 + 122512*c + 61504 = 0. Calculate c.\nAnswer: -1, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -3*v + 35 - 26, -52*r + 153 = 3*v for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z + 0*z + 739 - 372 - 367.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 t when four letters picked without replacement from {t: 10, q: 2}?\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/6 + 48489*i - 7053549363\/2 = 0. Calculate i.\nAnswer: 145467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-30 + (-5023)\/(-4))\/((-1)\/(-4))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159925947 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 13. Let s be 72\/(-20) + (-4)\/10. Let p be 60\/10*2\/s. Let t(o) = o + 9. Let q be t(p). Calculate i(q).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000371031082 rounded to 7 decimal places?\nAnswer: -0.0000371","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28 - (107 - 49) - -44.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1053 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 123*m = -29*m + 1496, 5*w - 4*m + 74 = -12*m + 4*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 + 2*v\/3 + 760\/3.\nAnswer: -2*(v - 20)*(v + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 13*z - 4*z - 40 + 15 as g + x*z and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h*h**(1\/7)*h*h)))**(-6\/7))**(-46)\/((h*h**5\/h)\/(h\/(h\/((h\/(((h*h**(2\/5)\/h)\/h*h*h)\/h))\/h))))**(17\/2) assuming h is positive.\nAnswer: h**(57549\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 188852927?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -79*u**2 + 156?\nAnswer: -158*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1238067046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*z**2 + 1460*z**2 - 68*z**2.\nAnswer: 1421*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -935*m**3 + 20*m**2 - 2*m.\nAnswer: -5610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/37 and -65\/8.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -1191*f. Let n(o) = 14*o**2. Calculate a(n(x)).\nAnswer: -16674*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 15*t**2 + 119*t - 173. Give n(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r**6 - 32111*r**5 - r**2 + 134185.\nAnswer: -360*r**3 - 1926660*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2016 (base 11) to base 5.\nAnswer: 41204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*m + m = 17, -4*m = -4*k + 36. Suppose -2*v - 2 = -k*f - 0, -15 = -5*v. Suppose c = -f*i + 165, c - 4*c = -9. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3, 1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 6*c - 3. Let b be 8\/c*24\/16. Calculate the greatest common divisor of b and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-2) - 3\/2. Let j(h) = -4*h**2 + 3*h - 3. Let y(d) = -4*d**2 + 2*d - 2. Let t(x) = s*j(x) + 3*y(x). Let u(k) = k. Determine t(u(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 5*t - 61 - 673 = 0, -3*x - 4*t = -725. Suppose -2*r - 4*c + x = 3*r, 5*c - 104 = -2*r. Does 21 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cccnnqynaacyyn. Give prob of sequence cq.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33108*o**2*r**3 + 11832*r**3 with respect to o.\nAnswer: 66216*o*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 646782 to the nearest integer?\nAnswer: 804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 50*r**2 - 101*r - 260. What is y(-48)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 86 and 8534038.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 18*w + 17. What is the units digit of k(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.2*11715.\nAnswer: -25773","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -174*u**2 - 181*u**2 + 2 - 185*u**2 + 555*u**2 + 1. Let w(y) = -18*y**2. What is w(m(z))?\nAnswer: -4050*z**4 - 1620*z**2 - 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = -2*q. Let p(n) = 2*n - q*n + 3*n - n. Let b(f) = 4*f**2. Give b(p(y)).\nAnswer: 16*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-24)*22\/33*-30?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - 2.8. Do 7 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + 34 + (15 - (-12 + 44)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 PM and 6:56 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1654 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: What is the remainder when 524 is divided by 98?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 165 = -0*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 5*i**2 + 2*i - 4. Let q be -1*33 + (-3)\/(-6)*-8. Let t = q - -34. Give k(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 46611410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of 5\/12*p**4 - 1\/2*p**2 + 3*p + 1\/3*p**3 + 0. What is b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(4 - (-244)\/(-44)) - (-5)\/(-1)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8775 <= 8385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 12 - 19)*(-7 + 5 + 6 - t**2) to s + x*t**2 + c*t and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(280)\/(sqrt(32) + 3*sqrt(32) + sqrt(32)))\/((sqrt(1008) - (2*sqrt(1008) - sqrt(1008))) + (-2*sqrt(7) - sqrt(7))*6))**2.\nAnswer: 1\/6480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1831967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2 - 3. Suppose 3*q + 7 = l, l + 0 = -q - 9. Let f be 6\/q*4\/(-27). Which is the third biggest value? (a) f (b) -2\/13 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1199.3 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 209 in 44639, 2\/7, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 5*w - 285. Let h = w - 40. Let n = h - 13. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 23*q + 65. Let r(i) = 361*i. Give r(t(u)).\nAnswer: 8303*u + 23465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 18*(-3 + (-30)\/(-9)). Suppose 0*c - x = 2*c. Let f(r) = r**3 + 2*r**2 + 2*r. Give f(c).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -334, -560, -824, -1138?\nAnswer: -1514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -0.189?\nAnswer: 4.189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7153673341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39126042?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1518*j + 47 = 1471*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12.955 + -12.961013. What is s rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 750.\nAnswer: 5250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 218, 208, 184, 140, 70, -32?\n\"Answer: -a**3 - a**2 + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*2)\/((-2)\/(-215)). Let d be ((-27)\/15)\/(63\/(-1050)). Suppose 0 = 5*w - x + d. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(102)*2 - 1*(sqrt(102) - sqrt(102)*-2))\/((5*sqrt(42)*2 + sqrt(42))\/(sqrt(252)*1)).\nAnswer: -6*sqrt(17)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*h*n**2*z - 2*h*n**2 + 231*h*n*z**2 + 4*h*n*z + 8*h*z**2 + 87*n**2*z**2 - 2 wrt n.\nAnswer: 152*h*z - 4*h + 174*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/175)\/(6\/(150\/5))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 (base 15) in base 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -13. Let x = -16 - -16.1. Which is the closest to x? (a) 2 (b) h (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**2 - 45. Let v(t) = -t**2 + 23. Let d(y) = 5*v(y) + 2*w(y). What are the prime factors of d(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 194920 to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:49 AM and 3:29 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1853 - -1700. Let n(q) = q**3 + 3*q**2 - 6*q - 1. Let o be n(-4). List the prime factors of 0 - 3 - (o + c).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 14*x - 46. Let z be n(-11). Suppose 0*q + q - 2 = 0. Suppose 5*f = q*f + z. Calculate the highest common factor of f and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1\/m)**(43\/2)\/(m**(-1\/5)\/(m*m**(-3\/7))))\/(m**1*m**(-1\/4)*m*m)**(-20) assuming m is positive.\nAnswer: m**(1952\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 52\/1501 and 46\/301.\nAnswer: 451801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1178 = 46*z - 1398. Calculate the lowest common multiple of 210 and z.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/11 (b) 0.4 (c) -1\/3 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**3 - 6*g**2 + 6. Let j be (-5 - (-114)\/22) + 53\/11. Let y(u) = -5*u**2 + 5 - u**3 - 3*u**3 + 0*u**2. Give j*q(b) - 6*y(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -264.\nAnswer: 1\/264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5537*f - 175 + 141 = 5539*f for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 709342418 to the nearest integer?\nAnswer: 26633","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 4, w: 4, r: 8}. Give prob of sequence dwr.\nAnswer: 64\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {j: 7, c: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -o - 76 - 20, 3 = -p. Let q = o + 121. What is the greatest common divisor of 442 and q?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2177455 and 105.\nAnswer: 6532365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-66) + 4220\/22. Let b = -1342\/7 + o. Put 3, b, 5\/2 in descending order.\nAnswer: 3, 5\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199914*f**3 + 733*f**2 + 2*f + 9 wrt f.\nAnswer: 1199484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6821628t to milligrams.\nAnswer: 682162800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(5\/6)\/(d**(-1\/6)\/d))\/(d**(-2))**(-21\/5) assuming d is positive.\nAnswer: d**(-32\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - t = 6. Let b be (t + 3)*(1 - 0). Solve -3*h + b*s + 3 = 3*s, -5*h + 3*s + 6 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 2*s**4 - 584*s**3 - 11610*s**2 - 64408*s - 87080 = 0.\nAnswer: -10, -7, -2, 311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3302\/11 + 300. Suppose -4*w = -f + 2, 0 = -4*w + 4*f - 5 - 3. Is j at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*c**4 - 89*c**4 + 61*c - 62*c + (-c**3 + 0 + 0)*(-2 + 2 - 3*c) - 2*c**4 + 2*c**4 - c**4 as g*c**2 + d*c**3 + s + y*c + x*c**4 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:29 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 57 = -3*d. Let c = 3699 - 3683. Suppose i - 9 - c = -q, i = -4*q + d. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -835740*h - 835729. Give l(-1).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of z**4\/6 + z**3\/2 - 480*z**2. Let v(x) = 5*x - 10*x - 16 - 16*x. Calculate 11*u(t) + 2*v(t).\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, k: 4, i: 4}. What is prob of picking 1 i and 2 g?\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*h + 25*h - 2625 = 0. Calculate the remainder when 1116 is divided by h.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d. Let b(y) = -14*y**3 + 2*y. Let i(k) = -b(k) + 8*o(k). Find the second derivative of i(j) wrt j.\nAnswer: 84*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 5*u**2 + 5. Let r(g) = -26*g**2 + 262*g - 16. Let w be r(10). Give m(w).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -862*l**2 + 9312771*l - 9312771*l.\nAnswer: -862*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -715 - -608. Let f = b - -436. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 57 - 2*r + 108 - 51. Let y(h) = -16*h**2 - 8*h. What is y(s(k))?\nAnswer: -144*k**2 + 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-11 + 3 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -83*d**8\/168 + d**5\/5 + 5*d**3\/6 + 137*d**2. Find the third derivative of j(l) wrt l.\nAnswer: -9960*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 7536?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 450892*w**5 - 26*w**2 - 493*w**2 - 451306*w**5 wrt w.\nAnswer: -24840*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 - -2.4. Let p = -328 - -329. Let o(f) = -f**2 + 4*f. Let l be o(4). What is the closest to p in l, n, -3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*a - 13*a = -312 for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 180 - -6?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o - 10. Let m be y(-4). Which is smaller: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(170)*5 + sqrt(170))\/(sqrt(810) + sqrt(810)*4).\nAnswer: -29*sqrt(17)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 17 = -0*r + 2*r, -2*r = -2*v - 18. List the prime factors of ((-2)\/(-5))\/(1\/r).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3319569? (a) -0.5 (b) -1 (c) 2 (d) -2 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 4*g + 3. Let o(h) = -3*h + 2. Let v be o(-2). Is d(v) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 324*q - 1497 - 109 - 5198 for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 17 (b) 0.4 (c) -1595\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -310 and -310 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-30) + 0 + 143\/(-6). Let b be ((-16)\/g)\/(4\/534). Find the third derivative of 18*d**6 + 5*d**2 + 89*d**5 - b*d**5 wrt d.\nAnswer: 2160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4\/21 + 1\/7. Let j be -14*3\/((-12)\/(-22)). Calculate the common denominator of (-6)\/(-21) - (-85)\/j and s.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 11. Suppose i = -i + t. Find the common denominator of (-98)\/(-6)*(-1 + i) and 13\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 18*i**2 - 18*i - 13. Let o be w(-17). Suppose -20812 = 4*n + 3*z, o*n + z = -3*z - 20816. Round n to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*t = -4*x + 12*t + 1, 4 = x - t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 1898c7?\nAnswer: -1898cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 140*r**2 - 2327*r - 305. What is b(-155)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m - 8959 = -8989 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 29. Let p be 3\/12 - 6\/j. Let z be (-1)\/3 + (-2)\/(-6). Which is bigger: p or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3906610 * -30.\nAnswer: -117198300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -824, -3, -7, -54, -41 in increasing order.\nAnswer: -824, -54, -41, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = -2*x. Differentiate -10 + 4 + 9 + x*y**2 - y**2 with respect to y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 3 - (-6 + 3)) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q**2 - 580*q - 1176 = 0. Calculate q.\nAnswer: -2, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014459467 to 7 decimal places.\nAnswer: 0.0000145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -2*i**2 + 2*i. Let h(p) = -11*p**2 + 560*p. Let d(l) = -4*b(l) + h(l). Factor d(r).\nAnswer: -3*r*(r - 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17182590 is divided by 128?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1798 is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*i + 15 = 5*w, -4*i + 12 = -4*w. Put -10, 5, -3, i in decreasing order.\nAnswer: 5, i, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/7 (b) 0.2 (c) 0.38 (d) -399\/2 (e) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49594 and 20123218?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 476111, 952271, 1428425, 1904573, 2380715, 2856851, 3332981?\n\"Answer: -3*t**2 + 476169*t - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 178*d**2*w*x + 431*d**2*w + 2*d**2*x - 2*d*w*x - 10*d*w + 7*d*x - 27*w*x - w wrt d.\nAnswer: 356*w*x + 862*w + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 f when three letters picked without replacement from {d: 1, f: 5, e: 5}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43 or 25?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -167aa08 (base 11) in base 15?\nAnswer: -3b5d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wo when two letters picked without replacement from {w: 1, i: 2, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.71+-41\nAnswer: -40.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -304 + 320. Let o(w) = w**3 + 44*w**2 + 81*w - 121. Let a be o(-42). Solve 5*u + 7 = -3*c - a, -4*c - z = -2*u for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 10*s**2 + 8*s - 10. Let x be m(-9). Let k be (33\/12)\/(x\/(-4)). Let t = 209 + -132. Calculate the greatest common divisor of k and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of 0*q + 22*q**2 + 29\/60*q**4 - 7\/300*q**5 + 0 - 8\/15*q**3. Factor m(k).\nAnswer: -(k - 8)*(7*k - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange g + 34*g**3 + 3*g - 2*g to m*g**2 + q + z*g + t*g**3 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 34*q - 70 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 4*l + 3. Let a be (20\/60)\/((-57)\/(-27) + -2). Suppose 3*f - 3*u + a = 0, 5*u - 24 + 3 = f. What is z(f)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (1 - -4) - -8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 4*z + 2. Let u be a(-3). Let d = -13 - u. Is 4*(-123)\/18*d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 7:57 AM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 144 + -96. Calculate the remainder when 3\/(-8) + 896328\/3776 is divided by h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -209633 (b) 0.2 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/30 + 29*j**4\/24 + 7*j**3\/6 + 715*j**2. Calculate v(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -364 + 366. Is 15 a factor of 16\/4*15\/w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 4. Let s(i) = -2*i + 2. Let q(b) = 2*b - 3 - 3 + 4. Let k = -344 - -340. What is k*q(r) + w*s(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(sqrt(117) - sqrt(117)*1))**2 - (2*(sqrt(156)*-4)\/sqrt(12))**2*3.\nAnswer: -2492","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 127*d - 251. Calculate p(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3084, 6447, 9808, 13167, 16524?\n\"Answer: -a**2 + 3366*a - 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2583 - 0.1\nAnswer: -2583.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -14. Let j = s - 13. Factor -n**j - 12*n**3 - 4*n**5 - n**4 + 9*n**4 - 32*n**2 + 9*n**5 - 16*n.\nAnswer: 4*n*(n - 2)*(n + 1)**2*(n + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, 4, -3, -2\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1179*w**2. Let f(x) = 468*x**2. Give f(g(d)).\nAnswer: 650539188*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006851 to seven dps.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 36*w**2 - 77*w - 146. What is the remainder when 545 is divided by c(-2)?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24345\/7 at most 3477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27571 + -5158. Let n be -69410 - (5 + -5) - 3. Let i = n + f. Round i to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 263*y + 465. Is z(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13118\/5 - 2624. Which is the nearest to y? (a) -7 (b) 3 (c) -2 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.121011 - -0.058989. Let c = 0.35 + 0.05. What is the third smallest value in h, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2814 - 7?\nAnswer: 280a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1421320 - -1002420?\nAnswer: -413400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by -11\nAnswer: 62\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 313 + -31233223?\nAnswer: -31232310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.991191 millimeters in centimeters?\nAnswer: 0.3991191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 28*n**2 - 2*n - 6. Suppose -6*a + 6 = -3*a - t, 5*t = 0. What is the units digit of z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 7:55 AM?\nAnswer: 10:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 297 = -3*v + 5*r, -4*r = 2*v - 198. What is the greatest common factor of v and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1020282602 to the nearest integer?\nAnswer: 31942","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/54)\/((-2)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((-30)\/(-3) + -1). Which is smaller: g or -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 35*j - 37*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/4*8\/3. Let u be 6\/(-4)*c\/6. Let n(i) = 5. Let b(y) = -y - 6. Let g(w) = -4*b(w) - 5*n(w). Give g(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - -1) + (-104)\/(-8). Suppose -u = -4*w + 23. Let r = w - 4. Solve y + 0 = -r for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 2) to base 16.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/(-4))\/(5\/10). Let m be -6*(-3 + 0)\/l. Let a = 21 + m. Calculate the remainder when a is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*s - 3*s + s + (2*s + 0 + 0)*(1 + 2 + 0) + 0 + s + 0 - 10*s + 3*s - 2*s + 0*s + s - 3*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((134 - 132) + 10 + -2) - -26?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 4) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 558*y**3 - 6*y**2 + 4*y. Let p(c) = 557*c**3 - 8*c**2 + 5*c. Calculate -3*p(h) + 4*q(h).\nAnswer: 561*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 - 293*n**2 + 293*n**2.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - (24 + 2)) + -11 + (0 - 9).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103427704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 19*a**2 + 116*a - 1535. Calculate n(21).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 144*w + 38 + 34 - 81 + 46.\nAnswer: -144*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28 - 26.9. Let p = o + -6.1. Let t = 14 + -9. Which is the second smallest value? (a) p (b) t (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32371.8 and -5.\nAnswer: 161859","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148611?\nAnswer: 3, 49537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 - -25. Solve 3*a - 3 + 0 = i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14 - 25 + 4 - i)*(5*i**4 - 11*i**4 + 6*i**4 - 21*i**4).\nAnswer: 21*i**5 + 147*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + -1 + sqrt(1250))**2.\nAnswer: 50*sqrt(2) + 1251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 5*u**2 + u**2 + (-5*u + u + 2*u)*(-10 + 10 - 5*u))*(u - 2 + 2) + 13*u**3 + 11*u**3 - 5*u**3 + (-2*u**2 + 2*u**3 + 2*u**2)*(4 - 2 + 0).\nAnswer: 34*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 AM and 4:43 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 12*d + 40. Let a be h(14). Sort -1, -3, 1\/3, a.\nAnswer: -3, -1, 1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/15, -4, 1?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 226 - 509. Let v = 3115\/11 + y. Put v, -0.2, 0.2 in increasing order.\nAnswer: -0.2, v, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 66667, 66641, 66591, 66511, 66395, 66237?\nAnswer: 66031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*o = -57*o + 474 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -37, 2, 4 in descending order.\nAnswer: 6, 4, 2, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 12. Let n be (1065\/o)\/((-3)\/116). Let c = n + 11218. What is c rounded to the nearest 1000?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, y: 6, j: 2, x: 1, q: 1, e: 2}. What is prob of picking 1 q and 2 c?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-58))\/((5\/2166)\/5). Let u = b - -224. Sort u, 1, -3, 4.\nAnswer: -3, u, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 2*b - 8. Let r(t) = 2*t**2 + 5*t + 16. Give -5*q(a) - 2*r(a).\nAnswer: a**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**2 + 7*m + 4. Let f be b(-4). Suppose 37 + f = 3*w. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 23298738?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3396031?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -322 - -322.133. Let m = k - 0.132645. Round m to 5 decimal places.\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 38*o - 5. Let f = 1330 + -1463. Let c(t) = -1007*t + 133. Determine f*k(v) - 5*c(v).\nAnswer: -19*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 22 + -8 + (2 - 7) - 5\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 4*s**2 + 4*s - 4. Let t(b) = -b**2 + b - 4. Let v be t(-7). Let l be 42\/(-8) + (-15)\/v. What is the units digit of y(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -14. Let b be (10\/z)\/12 + (-22)\/(-24). Factor 3\/2*g - b - 3\/4*g**2.\nAnswer: -3*(g - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 8047 = -3*s, 0 = -716*w + 715*w - 4*s + 1637. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + l - 20479 = 0, -13*c + 20491 = -12*c - 3*l. Let g = c - 11861. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g + 3*g + 10*g + 7 - 5*g - 6*g. Suppose -21 + 7 = b. Let n be r(b). Round n to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 10*t. Let z(k) = 14*k**2 - 427*k. Determine 42*c(d) - z(d).\nAnswer: 28*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17 + 4. Let m = 14 + r. Let c = -4 - -12. Calculate the highest common divisor of m and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (444\/(-259))\/((-8)\/(-28))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - -3. Let r(l) = -s*l - 3*l + 2*l + 2*l. Let c(y) = 8 - 8 + 2*y. Calculate r(c(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -8, -2204, -2, 2 in descending order.\nAnswer: 2, -2, -4, -8, -2204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3936127 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + -2 + -6 + 22 - (2 + -1).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**5\/60 + m**3\/3 - m**2 + 10. Give n(-4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4*(-3)\/(-4) + -1 - 0. Suppose 0 = l + 5*o - 143, 4*l + y*o = -0*o + 482. What are the prime factors of l?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 2. Let f be l(0). List the prime factors of (44 - -2)*f\/(-4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**5\/20 + 5*b**4\/12 - b**3\/6 + 7*b**2\/2 - 6*b. Give g(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2149, -2, 9.53, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2, 11, -1\/9, -0.76, 2\/5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164611 is divided by 189?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 AM and 12:32 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5076422, -32, -5 in descending order.\nAnswer: -5, -32, -5076422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1933 and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q. Suppose 12 = 2*s + 4*w - 5*w, 24 = 4*s + 3*w. Which is greater: q or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 5, 8, -5, -14\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - w = -x + 225, w = 4*x - 64. Let k be (-4 - (1 - w)) + -1. Let j = -89 - k. Round j to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79576 - 18*h - 11*h - 79573)*(h**2 - 2*h**2 + 0*h**2 - 2*h).\nAnswer: 29*h**3 + 55*h**2 - 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 418 + 408 = -59*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of 0*u - 4*u**2 + 1\/120*u**6 + 0*u**3 + 1\/60*u**5 + 0 + 0*u**4. What is the third derivative of k(r) wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80.05932 litres in millilitres?\nAnswer: 80059.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 + (-1041)\/(-1254). Let a = q + 3\/38. Are -1 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.781284 nanograms in kilograms?\nAnswer: 0.000000000009781284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 40 = 4*g - 3*p, -4*g - 2*p = -28. Let t = 8 - g. Is t < -1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4 (b) -31.56 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/((b**7*b)\/b))\/b)\/(b**(2\/23)\/b)*(b**(-2\/7)*b*b*b*b)**(-24))**(-8) assuming b is positive.\nAnswer: b**(121368\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 3*z**2 - z - 4. Let u be t(-3). Let p = u + 2. Let v(j) = 6*j. What are the prime factors of v(p)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/40542600 and -103\/6450.\nAnswer: 1743331800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -4005*o**2 + 3687*o + 318 = 0?\nAnswer: -106\/1335, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - (-8 - -10))\/1. Let o = 17 + -11. Factor -4*k**3 + 8*k**3 - 7*k**3 - 5*k**c - k + o*k**2.\nAnswer: -k*(2*k - 1)*(4*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*p**2 + 5*p**4 - 4*p**4 - 3*p**4 - p**3 to i*p**3 + j*p + y + c*p**2 + u*p**4 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 + 55 = 2*c - 12*t, -4*c - 3 - 7 = -3*t + 2*t for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 31. Let c = h - -6.00075. What is c rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161526 is divided by 40257?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1303, 4, -41.\nAnswer: -1303, -41, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -3\/4 (c) -139.7 (d) 1.4 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cg when two letters picked without replacement from gabgccggcacggacbggg?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 329922 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: Solve 268*s = 10068 + 4158 - 22 for s.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 5*f + 1. Let c be y(5). Let j = 0 + c. Let l be 1\/(-2)*(1 - j). Solve -d - 2*d = -3*m + 3, l = 2*d for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 13*z - 73. Let r be c(-5). Let j = -135 - r. Solve j*l = 2*a - l, -4 = 3*a - 2*l for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**2. Let f(l) = -7. Let h(b) = -3. Let o(d) = -4*f(d) + 10*h(d). Let w(r) = -2 + r**2 - 1 + 0*r**2. Let x(t) = -3*o(t) + 2*w(t). What is u(x(v))?\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*(y\/y**(-4)*y*y)\/y)\/y**(-1\/5) assuming y is positive.\nAnswer: y**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -55*o + 77. Let n(b) = 27*b - 40. Let x(g) = 2*h(g) + 5*n(g). Let k be x(2). What is the biggest value in -4\/11, k, 2\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 111618 + -27418. Round j to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/3*((-22)\/33 + 465\/90)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13013 (base 4) to base 14.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -78 and 0.3082.\nAnswer: -24.0396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 + 10 + (-3 - 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:56 AM and 3:42 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35*-500695.\nAnswer: -17524325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8376 by 2792.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -71*l - 7. Let u be b(-6). Let g = u - 264. Suppose -5*p + g = 5*z, 4*z + 5*p - 116 = 13. What are the prime factors of z?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 138 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w*w**1)\/w)**18\/((w\/(w\/w**(-3\/7)))\/(w\/(w*w*w**(-1\/4))))*((w\/((w\/w**(-5))\/w*w*w)*w)\/(w**(-2\/3)\/w))\/((w*w**0\/w)\/w)**(2\/3) assuming w is positive.\nAnswer: w**(2773\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 8\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 82*g**2 - 69*g - 658. Let i be b(-10). What is the highest common divisor of 98 and i?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 21*w**2 - 4*w + 5. Give o(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:02 PM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/2850 and 167\/1140.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/922980 and -25\/48.\nAnswer: 3691920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -148 - -147.9984. What is m rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 11 - 2 = 2*k, 3*v - 2*k - 3 = 0. Let d = 39844 - 240319\/6. Let m = 209 + d. Which is the nearest to 1? (a) v (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -841.3?\nAnswer: -25.239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h - 1 + 1 = 0. Let p(b) = -b**3 + b + 6. Let l be p(h). What is the greatest common factor of 42 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 170236856 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61968800 is divided by 11406.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-50)\/24 - 12\/48)*-477. Suppose 5*g = 4*i + 72 - d, 3*g = i - 269. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -30, -26, -3, -57 in descending order.\nAnswer: 6, -3, -26, -30, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 4*i**2 + i + 2. Let g be l(3). Let w(s) = -s + 2*s - 2*s + 17 + 0. Let t be w(g). Solve -t*o = -14 + 2 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-15 - -3) + -10\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -200.0228 - -0.0228. Let f = j + 201. Which is the closest to f? (a) 3 (b) 0.3 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8319190?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 203*q - 50022. Determine p(248).\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o. Let k(l) = -80*l + 3. Give i(k(t)).\nAnswer: 240*t - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3324 and 633.\nAnswer: 701364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of p**7\/28 - 3*p**5\/20 + p**3\/4 + 3*p - 1. Let t(l) be the first derivative of u(l). Suppose t(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54909120 and 5?\nAnswer: 54909120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2896580 is divided by 724090.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 303*u**3 - 3*u**2 - 2*u + 2. Let f be x(-2). Round f to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((-49)\/(-35) + (-134)\/67 - 148\/(-280)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwg when three letters picked without replacement from {q: 7, j: 5, w: 3, g: 2, o: 3}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30751\/6180 + 19\/2060. What is the common denominator of s and 87\/120 - 2\/5?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 59.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*z**2 - 100*z**2 + 58*z**2 in the form c*z + q*z**2 + g and give q.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3102 and 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*r - 92*r - 370 = 0. Calculate the lowest common multiple of 2\/18*6*(14 - -4) and r.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70944*t**3 - 230638948*t**2 + 230581004*t - 13000 = 0 for t.\nAnswer: 1\/17736, 1, 3250","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 75058203 and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -4. Suppose -3*o + 3*l = -l + 21, 4*o + 28 = 3*l. Let j be o - 5*(-42)\/35. Which is the nearest to j? (a) -5 (b) -0.4 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, w: 2, a: 2, h: 6, n: 3}. Give prob of sequence nlan.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -38 (b) 5 (c) 3592\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 955*c - 12 = -951*c, 2*r + 19 = -3*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5 = 0, 2*t + 6*x + 46 = 2*x. Let r = -22 - t. What is the greatest common factor of r and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -555 + 774. Suppose 0 = 2*k + 2*l - 57 - 53, 3*l - m = -4*k. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 PM and 2:37 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2536800 - -202051. Let m = i + 2334749.01599979. Let p = 0.016 - m. Round p to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) - (sqrt(1331) - (sqrt(1331) + 1 + sqrt(1331)))) + (sqrt(11) - ((sqrt(11) + sqrt(33)\/sqrt(3))**2 + 1) - sqrt(11)).\nAnswer: -44 + 22*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -329 - -328.99829. Round r to four decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -3.1. Let j = 0 - -3. Let x be (-44)\/(-4) + (17 - 28). Which is the closest to x? (a) j (b) 0 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 5*l + 27, 29 = p - 5*l. What is the least common multiple of p and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 2*w**5\/17 + 1416*w**4\/17 + 113630*w**3\/17 + 2824200*w**2\/17 + 1024000*w + 29760000\/17 = 0.\nAnswer: -620, -40, -5, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 7*y**2 - 6*y - 3. Let m(p) = 8*p**2 - 6*p - 2. Let b(f) = -7*c(f) + 6*m(f). Let u(s) = 2*s - 7. Let a be u(7). What is the units digit of b(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100100?\nAnswer: 100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 9*o + 7*o - 1674, -2*o + 1662 = 4*s. Suppose t - 3*z = -0*t + s, 4*t = -3*z + 1638. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -537*l**3 - 2*l**2 - 4*l**4 - 1 + 13*l**4 + 535*l**3 to the form w*l**2 + c*l**3 + g*l + m + k*l**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-5) - 14018\/(-4890)?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 23 = -t, -143*t - 13*i - 62 = -146*t - 19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -17465, -32131, -46797, -61463, -76129?\n\"Answer: -14666*t - 2799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -127?\nAnswer: -1\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15002 - 0?\nAnswer: -15002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 8 - (-33 + 14)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*q - 16945 - 172155 = 0, -l = -q - 47281. Suppose -10*a - 12*a = -l. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 658, 686, 714, 742, 770, 798?\nAnswer: 826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 2, 4, -2\/13?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 734 = 31*k - 72. Calculate the least common multiple of k and 74.\nAnswer: 962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m + 21. Let g be l(19). Suppose -9 = -g*x - 5*d, -3*d = -2*x - d + 30. Suppose 448 = -10*v + x*v. Calculate the highest common divisor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 87384 by -44.\nAnswer: -1986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = 2*a - 54, -4*a + 4*q = -31 - 101. Let v = 43 - a. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 11.6. Let f = 6.6 + t. Let n = 3 - f. Which is the third smallest value? (a) 5 (b) n (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4749, 9488, 14227, 18966?\nAnswer: 23705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 1)*(-2 - s**2 + 2) - 12*s**2 - 3 + 3 - 66*s**2 - 115*s**2 - 11*s**2.\nAnswer: -205*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83\/152 + -27\/19. Let i = -5\/8 - x. Which is the nearest to i? (a) 0.4 (b) -4 (c) -3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w. Let c = 1 + 5. Let m(f) = 3*f. Let o = -45571 + 45566. Calculate c*m(g) + o*j(g).\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0029066433 to six dps.\nAnswer: 0.002907","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21544 and 4?\nAnswer: 21544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from jojjooojjjojjjjjjjj?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 - 7. Suppose 15 = s*j + j. Suppose -75 + 13 = -5*c - j*g, -c - 2*g + 18 = 0. What is c rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1 + sqrt(704) + sqrt(704))*2 - 3*(0 + sqrt(704))**2*-5.\nAnswer: 32*sqrt(11) + 10561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s\/s**(2\/3)))\/s*s)**(20\/11))**(-1\/7)*((s*s**8)\/(s\/s**(-11)))**7 assuming s is positive.\nAnswer: s**(-4951\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h - 25 + 12 + 19.\nAnswer: -5*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -288.\nAnswer: -1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 12*d + 2 - d - 3.\nAnswer: -13*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/73, 0.1, 3 in descending order.\nAnswer: 3, 0.1, -2\/73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 255270?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (1221\/148 - 8)*8\/2\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2743040?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 2*w + 573 - 4811 = 0, -6362 = -3*m - 2*w. Suppose 0 = -0*d - 4*d - m. Round d to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + (-62 - (70 + -69)) + 18 + -1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/4)\/(w\/(w\/(w\/((w\/w**(-1\/10))\/w)))*w))**(1\/30) assuming w is positive.\nAnswer: w**(-53\/600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w + 6. Calculate k(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -599 divided by -79?\nAnswer: 599\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, y: 2, j: 1, o: 1}. What is prob of picking 1 o and 1 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1494 divided by 2?\nAnswer: -747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19b - 3880?\nAnswer: -36a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.6 + -8.85. Let k = p - 0.87. Which is smaller: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 299 - 391 = -2*a + 4*u, -9735 = -207*a - 3*u for a.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 194374401983 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 25561*-5\nAnswer: -127805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6778\/10149 - 4\/3383. Which is the biggest value? (a) 123 (b) i (c) -2\/9 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95)\/sqrt(5)*-5 - 2*sqrt(76) - ((sqrt(2299) - (1 + sqrt(2299)) - sqrt(2299))*2 - sqrt(2299))*1)*3)**2.\nAnswer: 864*sqrt(19) + 98532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6 (b) 3\/5 (c) -0.4 (d) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z**2 - 27*z**2 - 5*z**2 + 61*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_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: Simplify (((g\/(g\/g**(2\/7)))\/g)**(-1\/12)*(g**(1\/3)\/g*g)**(-5))\/((g**(-2\/3)\/g*g*g)**(-22\/7)\/(g**(3\/4)*(g*g**(-1)\/g)\/g)) assuming g is positive.\nAnswer: g**(-38\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4886069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 13*o + 23*o + 42*o)*(9*o + 41*o + 4*o).\nAnswer: 4212*o**2 - 54*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 616739 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 174280*v**3 - 3*v - 18541 wrt v?\nAnswer: 1045680*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 996801, 996802, 996803, 996804, 996805, 996806?\n\"Answer: c + 996800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(1 - -211)\/4. Suppose -5*r = -390 + 55. What is the derivative of -s*p**2 + 3 + r*p**2 - 35*p**2 wrt p?\nAnswer: -42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v - 6*x + 200984 = 0, 2 = x. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6336) + (-3*(sqrt(6336) + 0))**2 + sqrt(6336) + 0.\nAnswer: 48*sqrt(11) + 57024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 4 + 2)*(-2*l + 3*l + 0*l).\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = -0*c + c. Suppose -3*y = -4*y - 4. Let u = y - -19. Calculate the remainder when c is divided by u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-2) - -2) + 4914\/455 + -20?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) + sqrt(68)*-2)*-6*2)**2.\nAnswer: 9792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**2 + 11280588*y + 22561160.\nAnswer: 4*(y + 2)*(y + 2820145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-1) + -138*14\/273?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 159340*((-267)\/356)\/(6\/68). What is g rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1730213083?\nAnswer: 1730213083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 97 + -1229307?\nAnswer: -1229210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 613 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: Solve -3*p + 38 = -2*x + 63, -19*p = 95 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 23*l**2 - 25*l + 62. Give n(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 + 6*r**2 - 7*r + 7. Let g be c(-6). Suppose 4*v = 5*y + g, v + 5*y + 19 = -0*y. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*(d*d**(-2\/13))\/d))\/d)\/d*d*((d**(-1\/3)*d)\/d)\/d*(d\/d**(8\/5))**(-45))**(-50) assuming d is positive.\nAnswer: d**(-48400\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2873020345?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 + 58 - 10 = 4*b for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19c + 9d?\nAnswer: -ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.4672792 rounded to 1 decimal place?\nAnswer: 110.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.4, 10, -1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/9)\/(u\/((u*u**(4\/7))\/u)))**15*(u**(-9)\/u**(-9))\/(u*u**(-1))**39 assuming u is positive.\nAnswer: u**(-205\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1059751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -137 + 167. What is the remainder when 81 is divided by x?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -3*h - 1\/20*h**5 + 0 + 1\/4*h**4 - 1\/3*h**3 + 0*h**2. Factor x(s).\nAnswer: -s*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/8)\/((-21)\/252) + -2. Suppose 15 = -2*c - 3*k, -5*c = -8*c - 5*k - 24. Sort g, c, 2 in increasing order.\nAnswer: c, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 992 + 972 = -j, 4*h - 18 = 3*j. Find l such that -3\/7*l**j + 0*l + 3\/7 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 76*h - 17. Determine k(-2).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -85 * 110388.\nAnswer: -9382980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 849 or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -892013, -892011, -892009, -892007, -892005, -892003?\n\"Answer: 2*g - 892015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 627.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 112030 divided by 170\nAnswer: 659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 543?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4*t - 14 = 0, 4*q - 21 = -0*q + 3*t. Let v = -59 + 66. Calculate the smallest common multiple of v and q.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 2. Let p be s(2). Let a be 158\/9 - 40\/(-90). What is the tens digit of ((-400)\/p)\/((-6)\/a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of t**3\/6 - 7*t**2\/2 - 6*t - 4. Give m(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*j = 3*j + 8, -10 = 5*v - 5*j. Suppose -120 = -k - 2*x, -k - v*k + 410 = -4*x. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 143 + -133 + (-5 - (23 + 0))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2503429 to the power of 1\/3, to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 41664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Let h(s) = 2 - 2 - s + 11*s**2 + g - 1. What is the tens digit of h(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/((-1188)\/(-357184)) + -1. Let w = 903 + s. Let z = w - 107\/396. Which is the nearest to 1? (a) z (b) -0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*q**3*x**2 - 23761*q*x + 8593*x**2 + 14*x + 22 wrt q.\nAnswer: -159*q**2*x**2 - 23761*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*l = 1, l - 2*l - 1 = v. Let r(w) = 285*w**2 + 2*w - 8. Let o(m) = 285*m**2 + m - 6. Let y(d) = 4*o(d) - 3*r(d). Is y(v) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/6 and -113\/258.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 93 and 2.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/2 + -6*4. Let j = d + 28. Suppose 11*r - 15 = -4*g + 6*r, -j*r + 10 = 2*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 f(m) = -m + 16. What is f(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, 1, 3, 5?\n\"Answer: 2*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 4, -18, -6, 32 in increasing order.\nAnswer: -18, -6, 4, 6, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5522*j + 2 - 7924*j - 3641*j.\nAnswer: -17087*j + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from {s: 2, g: 5, n: 7}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*64\/60)\/(78\/(-975))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10774 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1708)\/(-42) - (8\/(-3))\/(-4). Let w be (b\/(-35))\/4 - (-2)\/7. Solve -3*l = -w + 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 960.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122638?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6977784 = -131*f + 6969793 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -61\/2*n**2 - 74*n + 110*n**3 + 25\/2*n**4 - 18 = 0.\nAnswer: -9, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l - 2*l**2 + l)*((2*l**3 + 0*l**2 + 0*l**2)*(0 - 3 + 1) + l**3 + 0*l + 0*l).\nAnswer: 6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1004268 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -47137131 (base 8) to base 7\nAnswer: -153212346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/28*-1*40\/90\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14*(-4)\/60)\/(88\/264).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*i**5 + 0*i**5 + 4*i**3 + 0)*(-151 - 154 + 346).\nAnswer: -82*i**5 + 164*i**3 + 41","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -k + 8. Suppose -3 = 3*z + 2*d - 5*d, 4*z - 2*d = 2. Suppose z = p - 0. Which is smaller: p or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from wrrbrwwnrw.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, g: 4}. What is prob of picking 4 g?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-10)\/(-8))\/(1\/20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 272874, 272871, 272868, 272865?\n\"Answer: -3*q + 272877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1217273775*d**3 - 959285612*d**2.\nAnswer: -7303642650","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -9*a**3 - 12*a**2 - 10*a + 11. Let d(b) = -5*b**3 - 6*b**2 - 6*b + 6. Let u(k) = -7*d(k) + 4*x(k). Give u(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 5\/7 and -224\/1145 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(5) + sqrt(40)\/sqrt(8))*-3)**2.\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 330*c - 113. Let r(x) = -3. Let p(a) = -4*r(a) + y(a). List the prime factors of p(4).\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -af03?\nAnswer: -aeff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 4960462.\nAnswer: -1\/4960462","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6358)\/(-1309))\/(3\/21).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -701, -558, -177, 562, 1779, 3594, 6127?\nAnswer: 9498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14587, 22740, 30895, 39052, 47211, 55372, 63535?\nAnswer: 71700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = g - 2*g. Let b = g - 4. Suppose -k + 7 = b. Solve -2*m - k = -3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.9 * -0.3.\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000055807 to 7 decimal places.\nAnswer: -0.0000558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5310292\/98541 + 3\/10949. Is m greater than -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(21 + 3 + 0)*(f**3 + 2*f**3 - 2*f**3) to u*f**2 + s + o*f**3 + p*f and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-14))\/(24\/168).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1650 + -1647. Which is the biggest value? (a) l (b) -1 (c) -1.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0169453 * -2.2\nAnswer: 0.03727966","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 57\/10*f**2 - 1\/10*f**4 - 4\/5*f**3 - 10*f + 26\/5 = 0?\nAnswer: -13, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m\/(m\/(m*m\/m**(1\/3)*m*m)*m))**(-15))**1 assuming m is positive.\nAnswer: m**(-55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of y - 1\/6*y**4 + 1\/5*y**5 + 0*y**2 + 0*y**3 + 0. What is the third derivative of o(h) wrt h?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5018 is divided by 2367.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6\/967 + 35809\/4835. Let n be ((-116)\/5)\/2 - (-3 - 0). Let j = n + a. Is -1 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.53*-110131.\nAnswer: -58369.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, q: 3, a: 2, x: 1, t: 6}. Give prob of picking 1 t and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -4)*(3 + 44\/(-24)). Let k = -55\/6 + x. Find the common denominator of 85\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (2 + -2 - 5) + 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and -4919?\nAnswer: 4919.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 21 + -15 - -7\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 437 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 10*b + 21*b + 20*b - 49*b + 10. Determine w(-12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/2))**(-6\/13)\/(w\/(w*w\/w**(-1\/6)))**(-27) assuming w is positive.\nAnswer: w**(-813\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 88 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 302\/(-4)*(9\/(-1) + -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -7\/345 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -5*t**2\/2 + 10*t - 249. Calculate f(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 1fdc?\nAnswer: 1fda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 448 and 136?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*(2 - (-7 + 8)). Let g be 6 + (-225)\/36*1. What is the closest to 2\/3 in g, z, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17148 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3937 = -40*g + 5423. Suppose 4*j - 4*w + 512 = 0, -4*j - 289 = w + 228. Let p = g + j. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -88*y**2 - 79 + 73 + 104*y**2 + 22*y. Let b(v) = 5*v**2 + 7*v - 2. Calculate -10*b(u) + 3*s(u).\nAnswer: -2*u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 q when two letters picked without replacement from {i: 2, x: 1, t: 2, q: 1, c: 1}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/336 and (30544\/(-8400) + 4)*(-5)\/(-16).\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28766 - -28768.94. Is -0.05 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 100527?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-99)\/(-45) - (18\/(-10) + 2). Let r(f) = f**2 - 6*f**i + 4*f**2 - f**2. Let b(m) be the first derivative of 2*m**3\/3 - 1. Give r(b(a)).\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113000200 - -11?\nAnswer: 113000211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhuhhuuuhhtuhhhuuhh. What is prob of sequence hht?\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/36 and 201\/880*(-44)\/99.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 877567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpjljjpjjpjl. Give prob of sequence jplj.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*2\/(-8)*0. Let v(w) = 4*w + 4. Let f be v(-6). Let b be (-36)\/30*f\/6. Solve a + a - 2*k - 6 = n, b*a + k = -8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (6 - (4 + 2 + -5 + -1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + r)*(r + 0*r - 2*r)*(-9 + 8 - 44)*(-2*r - r + 0*r).\nAnswer: -270*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = z - 2*v, 36 = -3*z + 1637*v - 1634*v for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from sszggcciqsgszzccc?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2.89 (b) -1\/5 (c) 2\/3 (d) 0.1 (e) -0.045 (f) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6812 - -14285. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -5.9.\nAnswer: -0.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/131, -205, -3\/2.\nAnswer: -205, -3\/2, 1\/131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -32*y + 59. Let z(m) = -111*m + 169. Let b(o) = 7*g(o) - 2*z(o). Give b(35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 350542421 is divided by 424?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeumemeeu. What is prob of picking 2 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -1569*l**4\/4 + 1381*l - 1302. Differentiate w(a) with respect to a.\nAnswer: -4707*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36395*n**6 + 70*n**2 + 8*n + 2 wrt n.\nAnswer: 4367400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 8:13 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 6*n + n = 8239985, -5*o + 5*n - 20600015 = 0. What is o rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 844972879 to the power of 1\/2, to the nearest integer?\nAnswer: 29068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153612721 a multiple of 409?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18 + 8 - (17 - (21 - -7))) + (-36 - -1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 648 in descending order.\nAnswer: 648, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3316 - 3316.5. Let x = -82 + 81. What is the third biggest value in x, n, 0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l. Let i(o) = 7*o**2 - 6*o - 1. Calculate -i(p) - 6*j(p).\nAnswer: -p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 230982 and 194987305?\nAnswer: 1169923830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66986 and 1281?\nAnswer: 85809066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 793753*v**2 + 3*v + 2. Let s be q(-2). Suppose 5*o + s = 25008. What is o rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.6, 0, -1\/2, -3 in descending order.\nAnswer: 0, -1\/2, -2.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 729754170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 27155, 54308, 81459, 108608?\n\"Answer: -l**2 + 27156*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 765 = -3*n, 3*a + 52726 = 3*n + 53095 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4815, 1\/3, -5.\nAnswer: -5, 1\/3, 4815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 0. Let v be (4\/2)\/(-1) - b. Suppose -y + 6*w - 17 = 3*w, 0 = 4*y - w + 13. Which is greater: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*g**2 - 48*g**2 - 47*g**2 + 140*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 15\/(-10) + (-2)\/4. Suppose 13*h - 5*h - 168 = i. Calculate the greatest common factor of h and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1445012 (base 8) in base 16?\nAnswer: 64a0a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 286371517.\nAnswer: 47, 6093011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -143\/21 - -82\/35. Calculate the common denominator of o and -17\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.192 and 171900.\nAnswer: 171900.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4\/7, -2.1, -7, 0.1, 27, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 717, 1574, 2721, 4128, 5765?\nAnswer: 7602","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 28 = 4*w, -k + 4*w - 5 - 14 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 19571 divided by -5487\nAnswer: -19571\/5487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92793306?\nAnswer: 2, 3, 15465551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -57*o + 9296. Let t be d(163). Put -223, -0.4, 0.3, t in decreasing order.\nAnswer: t, 0.3, -0.4, -223","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(2 + 0 + sqrt(405)*1 + sqrt(405) + 2*sqrt(405)*-6) + -3)*1*3)**2.\nAnswer: 1620*sqrt(5) + 364509","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(378)\/sqrt(6) + 2 + (sqrt(63) - sqrt(189)\/sqrt(3)*2))*6)**2*1*2.\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3084 or -3130?\nAnswer: -3130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 134*s - 25. Let q(x) = -133*x + 25. Let t(a) = -2*k(a) - 3*q(a). Is t(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h - 10456 = -41*h. Suppose b + d = -b + 1742, -3*b - d + h = 0. Let t be b\/(-856) - (2 + -3). Which is bigger: t or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wyt when three letters picked without replacement from wncntwyweenwnt?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14061930 - 3?\nAnswer: -14061933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-10)\/(-4) + 189\/(-90)) - (-130 + 118).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 2*r = -162. Suppose -6 = 24*c - r*c. Suppose 2*t = w + 77, 3*w + c*t + 433 = -2*w. Round w to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -c + 5*l, -2*l + 62 = 6*c - c. Solve 5*q + 2*f = 10, c*f - 14*f = -4*q - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7415821967 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/6 + 1)*-15. Let r(m) = 6*m - m**3 + 36 + 4*m**2 + 0*m - 29. Let u be r(t). Solve -4*z + u = 4*i, -3*z - 2*i = -4*i - 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t - 3 + 3 + (-13 - 14*t + 13)*(1 - 1 - 2) + 2*t - 6 + 6 + (6 - 1 + 1)*(3*t + 2*t - 7*t).\nAnswer: 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 61*h**2 + h + 63. Let q be v(-61). Let t(m) be the first derivative of 9 + 1\/11*m**q + 2\/33*m**3 + 0*m. Factor t(f).\nAnswer: 2*f*(f + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10214415*h*i**3 + 15348784*i**3 wrt h?\nAnswer: 10214415*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -40*w**2 + 132*w + 2. Let x(i) = 43*i**2 - 133*i - 3. What is 3*p(k) + 2*x(k)?\nAnswer: -34*k**2 + 130*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 58, 172, 392, 772, 1366?\n\"Answer: 9*p**3 - p**2 + 54*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.806346 centuries to millennia.\nAnswer: 0.6806346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by ((-124)\/10)\/(-2 - 84\/(-45))?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*d = -10*d - 462. Let c(y) = -2*y**3 - 7*y**2 - 3*y + 5. Let h be c(-4). Calculate the highest common divisor of h and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -98 + 62. Let d be (-2 + -4)\/(m\/24). Solve -2*c + o - 1 = -4*c, -10 = -2*c - d*o for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -345122022 - 2?\nAnswer: -345122024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 27773 or 27774?\nAnswer: 27774","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*x - 19 = -4*x, 4*x + 4 = 0. Suppose -v*a + i + 2*i + 97 = 0, 24 = a + 4*i. Calculate the remainder when (-1)\/((-60)\/59 + 1) is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1945*n**2 + 41*n - 85*n + 44*n - 2468*n**2.\nAnswer: -523*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -7. Let r = x - -4. Suppose 0*q + 3*s = q + 10, r = 3*q - s. Solve -3*m - q = -2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-4) + 3\/(-4). Let z be 2\/4*(i + -17). Let w be 15\/(-2)*6\/z. What is the greatest common divisor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7909, 7924, 7951, 7996, 8065, 8164?\nAnswer: 8299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16277876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2 - 1194*g + 2376.\nAnswer: 3*(g - 396)*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - 2. Suppose -k = -3*c + 9, -10 = -5*k - 285*c + 289*c. Solve a = 4*u + 5*m - k - 3, 4*m = -5*u + 9 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-1))\/((-44)\/(-33)*(-30)\/(-40))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 3*h**2 + h + 3. Let z be v(-3). Suppose 2*m - 8 + z = 0. Suppose -m*g = 2*x + g - 47, 12 = -4*g. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65.25886 - 64.73. What is j rounded to 3 decimal places?\nAnswer: 0.529","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6.1 - -5122210\nAnswer: 5122216.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 u when two letters picked without replacement from {p: 1, d: 1, w: 2, u: 1, e: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 11*w + 14*w**2 - 25*w**2 + 11*w**2 to z + o*w**2 + v*w + n*w**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9805, 19109, 28367, 37579, 46745?\nAnswer: 55865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 4:50 AM?\nAnswer: 5:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56501.04 months to centuries.\nAnswer: 47.0842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -481 = -10*b - 201. Solve 30*c - b*c = -10 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7. Suppose w = 3*x + x - 48. What is the lowest common multiple of x and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21251 (base 7) in base 3?\nAnswer: 21020112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5687?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3\/3 + 3235*z**2\/3 - 23657*z\/3 + 1904 = 0. Calculate z.\nAnswer: -816, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1229 or 1230?\nAnswer: 1229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (2 + 4 + -13) - -4) + -43?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.142, -0.5, -1\/29, -4, -1.\nAnswer: -4, -1, -0.5, -1\/29, 0.142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 22 = -2*v, -5*y + 1 + 47 = 4*v. Suppose -4*q - q - x + 123 = 0, -3*x - 6 = 0. Solve -5*c = -y*r - 31, -c + 4*c - q = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260.4 + 285. Let q = b - 18. Let r = 6.60000275 - q. Round r to 7 dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 11 + 4. Let y be o\/2*(3 - (-327)\/(-9)). Let n = y + 203. List the prime factors of n.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -76, -364, -1074, -2392, -4504?\n\"Answer: -31*v**3 - 25*v**2 + 4*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 1:37 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/(-22) - (1 - 4))*39\/117?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - n + 20 = 0. Suppose a - 2*u = -n*a + 6490, 0 = 5*u - 25. What is a rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + 226 - 3*g**2 - 112 - 105 to the form l*g**2 + x + w*g and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnndnndnnnndnn. What is prob of sequence dn?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 80069486 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1974, 3974, 5974, 7974, 9974?\nAnswer: 11974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -20. Let r be 59\/3 - 2\/q. Calculate the highest common divisor of 40 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.07, 0.2, -2, 0.\nAnswer: -2, 0, 0.07, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j + 14. Let q(u) = 2*u + 13. Let f(h) = -4*g(h) + 5*q(h). Suppose -1169*d - 3641 = 3373. Determine f(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 4*s**2 + 10*s - 7. Let r be p(-6). Let y = r + -1. Suppose -2*t + 383 = 3*x, -y*t + 14*x = 9*x - 733. What are the prime factors of t?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -128\/3, 1\/2, 1332, 1\/7, 0, 1 in increasing order.\nAnswer: -128\/3, 0, 1\/7, 1\/2, 1, 1332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100 (base 4) to base 6.\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143*v - 814 = 23668 - 887. What is the remainder when 569 is divided by v?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 16 - 9 = 5*a, 5*p + 5*a = -35 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338144 and 800?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35493438 or 35493439?\nAnswer: 35493439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 11222000022221?\nAnswer: 11222000022210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 16414?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 432 = 4*s - s + 4*i, -5*i - 576 = -4*s. Suppose -6*q = -2*q - s. What is the remainder when q is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-11)\/(-2) + (-2)\/4. Let p(y) = y - 37*y**3 - 2*y - 9 - 7*y**2 - 4*y + 41*y**3. Let k(f) = 2*f**3 - 4*f**2 - 3*f - 5. Give b*k(r) - 3*p(r).\nAnswer: -2*r**3 + r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -5 + -8 + 10 + (-2 - 9).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 2*z**4\/3 + 64*z**3\/3 + 122*z**2\/3 + 20*z = 0.\nAnswer: -30, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.393728ml in litres?\nAnswer: 0.002393728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -865, -2343, -4519, -7393, -10965?\nAnswer: -15235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 31 = -5*f + 223, -52 = -f + l. Let x = -2133\/50 - -29\/25. What is the common denominator of x and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7)\/(u*u**3))**(-2\/55) assuming u is positive.\nAnswer: u**(12\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -32663981\/195 - -167508. Is 1 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2330 (base 5) to base 3.\nAnswer: -110121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41122 is divided by 7233.\nAnswer: 4957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 4.4. Let u = -1.1 + 0.1. Let c = u - -2. What is the nearest to -1 in o, -5, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -48 - -47.99. What is the closest to 1 in 2, -3, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 10*z**3 - 4*z**2 + 2*z + 3. Let d be p(3). Suppose 5*b - d = -3*u - 0*u, 3*u = -12. What are the prime factors of b?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1584\/(-90))\/22*(-10)\/(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1493019?\nAnswer: 3, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 356 - 116. Let v = g - 239.9999981. What is v rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 5*i + 7. Let u be 15\/6 - 4\/(-8). Let n be o(u). What is the second derivative of -151 + 71 + 26*g + 80 + n*g**3 wrt g?\nAnswer: 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 4. Let t(u) = u**2 + u. What is the lowest common multiple of t(2) and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -211 + 56 + 113 - (-66 - -2).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1577 + 3*t + t - 20*t - 1596 + 3173.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5824)\/490 - -12)\/(6\/(-5)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 103\/4, -0.05, -0.7, -2\/5, 4, -0.04?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 - 2\/((-4)\/2). Let l(k) = -2*k**3 + 3*k**3 + 7*k**n + 3*k + 3*k - 2. Suppose 5*a - 16 = f, -3*f - 21 = -4*a + 5. What is l(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lce. Give prob of sequence lce.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 166, 391, 716, 1147, 1690?\nAnswer: 2351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28029951*c**2 - 14*c + 162798?\nAnswer: 56059902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1903440 rounded to the nearest 10000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -233611\/22 + 10616. Let p = 1\/5228 + 34961\/6535. What is the common denominator of p and a?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1070.037 from -71.\nAnswer: -1141.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmfyz. What is prob of picking 1 f and 1 y?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1471, -5825, -13121, -23359, -36539, -52661, -71725?\nAnswer: -93731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/123 and -71\/12?\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {o: 2, s: 1, d: 3, f: 8, y: 5, j: 1}.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 203390 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.489? (a) 4\/11 (b) -2 (c) 0 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4762061976?\nAnswer: 2, 3, 7, 28345607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 9 = -5*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 116*w**2 + 120*w**2 + 2*w**3 + 0 to n*w**2 + q*w**3 + o*w + g and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - h = -6, 5*a + 3*h = 17 + 9. Suppose a*x - 72 = -2*x. Is (-3)\/4 - (-4 - 249\/x) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 221.2 - 221.19997613. What is g rounded to 6 decimal places?\nAnswer: 0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 910741 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 265*c**3\/3 - 124*c**2 - 7*c - 5. What is the derivative of i(j) wrt j?\nAnswer: 530","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1505*u**2 + 774*u**2 - 2040*u**2 - u**2 + 6*u**2 - 3*u**2 + 0*u**2 - u**2 + 3*u**2 + (2*u - 5*u + 2*u)*(0 + 0 - u).\nAnswer: -2766*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 s when three letters picked without replacement from {j: 2, e: 2, s: 1, n: 1, z: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39234 and 51651058?\nAnswer: 1006","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164271*i**2 - 164306*i**2 + 328590*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 24920987.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 439, 878, 1317, 1756, 2195, 2634?\nAnswer: 3073","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*u**5 + 35*u**4 - 111*u**3 + 29*u**2 - 2*u.\nAnswer: u*(u - 1)*(u + 2)*(7*u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 187896 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*b + 14*b - 20. Let j be 22 - 5\/20*b. What is the highest common factor of j and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y + 59 = -151. Let g be (-1)\/(y\/(-24)*2\/(-5)). Let z be (150\/(12\/g))\/(1\/2). What is the highest common factor of 125 and z?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 <= -23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-4))\/(3204\/(-3560)*10\/(-36))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -5*4\/(16\/(-4)). Suppose 2*y - v*y = 0. Suppose 4*g - q - 13 = 0, 0 = -g - y*q + 4*q + 22. Solve -k = -0*t - 4*t, g*t + k = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -110574557*b**2 - 166971*b - 55657. Let j(r) = -15894*r**2 - 24*r - 8. Give -55657*j(k) + 8*s(k).\nAnswer: 15902*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-3) - 2\/12. Let h = 5.2107 + -0.2107. Which is the closest to u? (a) 0.3 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1760, -2031, -2294, -2549, -2796?\nAnswer: -3035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three tenths of a centimeter?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**5 + 309030*k**4.\nAnswer: -5*k**4*(k - 61806)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - 4*k)*(114*k + 120*k - 235*k) + (-270 - 27*k + 134 + 136)*(2*k + 0 + 0).\nAnswer: -52*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.154? (a) -5 (b) -0.12 (c) -0.3 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*z + 1. Let v = z - -11. What is the highest common divisor of v and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 46*d + 95*d + 19*d + 3*d.\nAnswer: 71*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 226d - 9?\nAnswer: 2264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -1 + (2 - -9) + -8 + -2\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3485555581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -196 = 7*j - 0*j. Let g = j + 58. Calculate the remainder when 89 is divided by g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30 and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s - 17. Let v be (-27)\/2 - 24\/16. Let a be k(v). Let j be ((-9)\/((-36)\/(-88)))\/a. Sort 1, 4, j.\nAnswer: 1, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*z**2 + 7*z**2 - 8*z**2 to l*z + b*z**2 + w and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18283 - 8079. List the prime factors of w.\nAnswer: 2, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 140, 0, 39 in decreasing order.\nAnswer: 140, 39, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19533, 20203, 22023, 25569, 31417, 40143, 52323, 68533?\nAnswer: 89349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*b**2*o**2 - 6*b**2*o - 3*b**2*q - 338*b*o*q + 3779*o**2*q wrt o.\nAnswer: 112*b**2 + 7558*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/4)\/d*d)**(-49) assuming d is positive.\nAnswer: d**(-245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c = -1628 + 1645. Let p(q) = -2*q + 9. Let b be p(7). Put c, 1, -2, b in ascending order.\nAnswer: b, -2, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 69 - 9 = 0. Let n(w) = 26*w**2. Let a(t) = -403*t**2. Let c(p) = g*n(p) + 5*a(p). What is the tens digit of c(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/((-3)\/(-15)) - (45\/(-2) - -17). Sort -1\/6, 211, b, -0.5 in descending order.\nAnswer: 211, b, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4968432 and 47\/6996?\nAnswer: 54652752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 233. Let a(t) = 49*t + 45*t - 214*t + 46*t + 51*t. Give a(x(z)).\nAnswer: -23*z - 5359","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 AM and 9:05 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 86 - 82. Put 0, 0.06, v in decreasing order.\nAnswer: v, 0.06, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4639824 and 4662?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10*(-2)\/15)\/((-11)\/(-99))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -29*n**7\/210 - 31*n**3\/6 - 29*n**2\/2 + 47. Let h(w) be the second derivative of m(w). Differentiate h(y) wrt y.\nAnswer: -116*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 + 45*f**2 - 100*f**2 - 28 + 107*f - 25.\nAnswer: (f - 53)*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -0.4, 0.18 in ascending order.\nAnswer: -0.4, 0.18, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11329 or -11338?\nAnswer: -11329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(88) - sqrt(88))\/sqrt(8).\nAnswer: 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226 - -227. What is the closest to 1\/5 in -0.2, j, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 1\/72*r**4 - 5*r + 1\/4*r**2 + 0 - 1\/9*r**3. Factor d(x).\nAnswer: (x - 3)*(x - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -2*f - 28. Let x be 4\/6 + 92\/(-3). Let r = x + f. Calculate the greatest common divisor of 84 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/17)\/((d**(-4)\/d)\/d))\/((d*d*d**6\/d)\/d**(-1)))\/((d\/(d\/(d\/(d\/(d**(-1)\/d*d*d)))*d))**44\/(d**6*d*d**3)) assuming d is positive.\nAnswer: d**(886\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 670.\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 8:09 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*2\/4*(-1240)\/(-1860)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - -0.07. Let z = o + -4.08. Let y = 1 - 6. Which is the second biggest value? (a) z (b) y (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -73*z - 37*z - 23*z + 21*z + (-3*z + 3*z - z)*(-3 + 1 + 0).\nAnswer: -110*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 411, -1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 z, and 1 d when three letters picked without replacement from {d: 5, u: 3, y: 1, z: 1, l: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 3. Let k(p) = 1. Let t(c) = 3*k(c) - u(c). Let l be t(1). Let a be -3*1\/(-3)*1. Which is smaller: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -477, -955, -1433?\n\"Answer: -478*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(-105))\/(3 - 17\/5)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77 - 73.3. Let s = g + -27.7. Let t = -25.32 - s. Round t to one dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-3)*1 + 1. Let s = 5 + -5.3. Let v be ((-2)\/5)\/((-41)\/(-10) - 4). Sort s, b, v in increasing order.\nAnswer: v, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2*y = -254, 0*y - 5*y = -3*n + 763. Let p be n\/(-96)*(-3)\/2. Let v = 33 - 18. Solve 9 = -3*o + 3*t, 0 = -p*o - 0*t - 5*t + v for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 332, 324, 316?\n\"Answer: -8*q + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 75\/2*44\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 13765261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814 = -150*b + 149*b. What are the prime factors of b?\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 20 = 2*s, 0 = n - 2*s - 3*s + 15. Calculate the highest common divisor of 50 and n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 6*z + 8. Let g(a) = -a**2 + 12. Let k be g(0). Suppose 0 = -3*t + 5*t - k. Give c(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gwjcjmgmjmwcmscgjccw?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7\/3)\/z)\/z**(-5\/6) assuming z is positive.\nAnswer: z**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + 13*y**2 - 7435*y - 59800. Determine r(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 74*w**2 - 20*w**2 - 3*w - 19*w**2 - 7 + 3*w. Let b(l) = -23*l**2 + 5. Calculate -7*b(y) - 5*t(y).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctcttttttttcttctttc. Give prob of sequence tctc.\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 - r**2 + 9*r**2 - 2*r - r in the form v*r + k*r**2 + h and give k.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.79314 - -73486.9\nAnswer: 73486.10686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-625)\/(-11) - (1 - 39\/33). Suppose 4*v - w = n, 0*v + 3*n = -3*v + 24. Solve -m + v = -4*a, -4*a + 5 - 3 = 2*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0.037\nAnswer: 0.0185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*d + 8 = 4*k + 25*d, -k - 12*d = -2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11633, -37869, -78709, -134153, -204201, -288853?\nAnswer: -388109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(21\/9)*(-4)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 4:22 PM?\nAnswer: 2:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -13*j**3 - j**2. Let y be 87 + 4*(-4 + 3). Let a = y + -82. What is t(a)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -20724 and 0.2?\nAnswer: -4144.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 1523*v**2 - 3050*v**2 + 1517*v**2 + 10.\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 10:20 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -489 divided by 163\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2901.505 + 2901. Round j to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/10 and ((-8)\/(-100))\/((-12)\/165)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11683145 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13739821225\/108160098 - -435051\/3433. Let u = c - -37\/118. What is the common denominator of u and 23\/27?\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 50 = 6*d. Is ((-53)\/5)\/(2\/d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1419\/2 - -709. Let f = 0.31 + -0.01. Which is the closest to 0.2? (a) z (b) f (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(132) + -1*sqrt(132))*4)\/(4*sqrt(324)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 19 = -b, 611*q - 609*q - 6 = 0. Which is bigger: 251 or b?\nAnswer: 251","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.144 + 0.414. Which is the third biggest value? (a) -4 (b) m (c) -1\/2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/9)\/(795\/(-1431)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.01 - -0.01. What is the closest to 0.2 in r, 2\/9, -11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 1010000110001010011?\nAnswer: -1010000110001010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of s**4\/4 - 4*s**3\/3 + 2*s**2 - 14*s - 43. Let w be n(4). Is (w - 1) + 1 + 1913 + 0 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)*o*o)**(2\/11))**(3\/8)\/((o\/o**(-1))**(-38)*o\/o**(-3\/2)*o**(1\/4)) assuming o is positive.\nAnswer: o**(293\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 5*d**2 + 7*d + 4. Let t = -23 - 9. Let c = -33 - -7. Let m = t - c. What is i(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 28 - 10)*(3*p**3 - p**3 - p**3).\nAnswer: -48*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h**2 + 434266783 - 434266783.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 8131?\nAnswer: -8128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2320\/(-1740))\/(556\/6).\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a**3 + 189*a**2 + 1836*a = 0. Calculate a.\nAnswer: -51, -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 11*h**2 + 21*h + 16. Let n be b(6). Let g = -29 - n. Calculate the smallest common multiple of 39 and g.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66489021 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - 284 - -300 - ((0 - (1 + -1)) + -50)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s + 9. Let z be a(-9). Suppose 2*i - 5*q - 42 = z, 0 = 2*i + 4*q + 2 - 8. What is the first derivative of -8 - 2 - 2*m**4 + i*m**4 wrt m?\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + f - 689 = 0, -15*n + 17*n - 2*f = 1386. List the prime factors of n.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 113 = 5*b, -4*b - 2*o + o = -87. Suppose 5*l - 157 + b = 0. Solve i + h + 3*h = 15, 0 = 5*i + 4*h - l for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/7)*j**9)\/(j**0\/j)**16 assuming j is positive.\nAnswer: j**(177\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4463 a factor of 935721506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*u - 33\/2*u**2 + 27\/2*u**4 + 6 - 9*u**3.\nAnswer: 3*(u - 1)**2*(3*u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3960 - -3957. Let z = -857\/9 - -95. Which is the smallest value? (a) w (b) z (c) -109\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 5*j. Let p be m(-4). Let l be p + ((-1)\/1)\/1. Let q = -25 + l. What is the remainder when 29 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/2 + 10*h**2 - 7*h. Let f be z(7). Sort f, 0, -3 in descending order.\nAnswer: 0, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2420 - 2423)\/((-1)\/((-4)\/15)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2. Let c(t) be the third derivative of 7*t**5\/60 + 5*t**4\/24 - t**3\/3 + 2141*t**2. Give c(g) + 6*k(g).\nAnswer: g**2 + 5*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17043*v**2*y**2 - 279*v**2 - 5*v*y**2 - v*y + 3*y + 3 wrt y.\nAnswer: -34086*v**2 - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 + (-305 - -187) - ((2 - -13) + 2)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 192086 divided by -4.\nAnswer: -96043\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ey when two letters picked without replacement from eyaykyyk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 3 + -2 - (-26 + -26 + 48)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2826645?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 2*k - 34, 2*g = 3*k + 4 - 35. Suppose -k*r + 76 = -3*r. Suppose 0 = -a + 2*a - 19. Are r and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 105186574 to the nearest integer?\nAnswer: 10256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**2 - 14*m - 46. Calculate j(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4fa9 - 53e?\nAnswer: 4a6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) 1\/28 (c) 2\/3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q**3 + 8*q**2 + 11*q + 3. Let y(l) = -3*l**3 - 5*l**2 - 7*l - 2. Let a = 18 + -10. Let p(m) = a*y(m) + 5*r(m). Give p(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -1322*a. Let h(v) = -27*v. Give h(t(r)).\nAnswer: 35694*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) -3 (c) 1 (d) -3\/4 (e) -1 (f) -37956\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from {l: 3, h: 4, x: 1, s: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 689450943?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 27 + 1 + -7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 0.052, 5\/12, 4, -2\/3 in ascending order.\nAnswer: -2\/3, -0.01, 0.052, 5\/12, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 6, g: 8, h: 1, p: 1}. Give prob of picking 1 g, 1 x, and 1 p.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9932 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 26 = 3*l + 10, 0 = -4*l. Let h = -11 - n. Calculate the highest common divisor of h and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9664, 9662, 9672, 9700, 9752, 9834, 9952?\n\"Answer: g**3 - 9*g + 9672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 3*v**3 - 2*v**2 + 2*v + 8. Let q be w(2). Solve -4*d = -40 + q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17 - 1d?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 3*b - 3, -3*b = 2*b + 15. Suppose -z*i = i. Let w be i*(-3)\/6*-1. Let f(s) = s**2 - s - 2. What is f(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 52 and 392.7445.\nAnswer: 20422.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202222 - 1111010?\nAnswer: -201011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in meters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6687 divided by -17.\nAnswer: -6687\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 5 + 5*c - 5 - c**2. Let m be 4*(4 + (4 - 6) - 1). Let w be g(m). Solve -3 = -n + 2*d - 10, -3*d + 18 = -w*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 299150.\nAnswer: 2, 5, 31, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 20*x - 210. Solve 0 = -5*z - x + 10 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 400 divided by 6.\nAnswer: 200\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -a, -2*c - a = c + 5. Sort -6, c, -2, -4.\nAnswer: -6, -4, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9888 is divided by 329?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/46144 and 101\/36.\nAnswer: 415296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 - -2.24.\nAnswer: -40.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32.2 - 32.199126. Round i to five dps.\nAnswer: 0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10*n**3*o - 378*n**3 - 16*n**2*o wrt o?\nAnswer: -10*n**3 - 16*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -91113 (c) 3\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2255083.\nAnswer: -2255084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2*l**3 - 41*l**2 + 15*l - 122. Calculate g(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.0686 rounded to one dp?\nAnswer: -60.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8391 + 8390.91651. Round c to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-50595)\/13492*(-144)\/(-10)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4120 + -130?\nAnswer: -4300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 165 - a86?\nAnswer: -921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13\/22 in 3, -0.1, -1.31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30cc47 (base 14) in base 10?\nAnswer: -1648815","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -7*v + 25*v**2 - 21*v**2 + 1 - 26*v. Let d = -17 - -29. Calculate the remainder when m(10) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 5:50 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5443 - -0.322029.\nAnswer: -5442.677971","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 336283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in months?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-228)\/(-15) - 4\/20 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, -7, -25, -51, -85?\n\"Answer: -4*a**2 + 2*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by 15385?\nAnswer: -9\/15385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*g + 9. Suppose h = 4*w + 101, 0*h + 364 = 4*h + g*w. What is the remainder when h is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.29894 centuries?\nAnswer: 0.829894","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**3 + 5*o + 6. Let m be f(-3). Calculate the least common multiple of 43 and 2\/(-1)*(-5 + m\/(-14)).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - 62?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (-13 - 4) - -1 - -146?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 200593443?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20197, -20147, -19997, -19699, -19205, -18467?\nAnswer: -17437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*4468\/(-20)*22\/2. Suppose -10*m + 40403 = -f. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1408) - (sqrt(1408) + sqrt(1408)*2))*-6*-1)\/((sqrt(1536) + (sqrt(1536) - -1*sqrt(1536)))\/(sqrt(12) + (sqrt(12) - 2*sqrt(12)*5))).\nAnswer: 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (95\/(-57) - -1) + 0\/(1 - 0). What is the smallest value in -8, p, -1, 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Divide 68854675 by 5.\nAnswer: 13770935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, m: 1, e: 1, z: 1, k: 1}. Give prob of sequence moe.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95499212*l**3*n**2 - 502*l**2 - 8*l*n**2 - 80*l*n + n**2 - 5*n wrt l?\nAnswer: 572995272*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -7*x**2 + 37*x + 30. Let s(j) = 13*j**2 - 71*j - 60. Let q(k) = -7*p(k) - 3*s(k). What is the hundreds digit of q(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -104*a + 1036. Let k be m(10). Put k, -587, -5 in descending order.\nAnswer: k, -5, -587","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2904908820?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2. Let m(n) = -13*n**2. Calculate l(m(f)).\nAnswer: 845*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**3 - 3 + 3)*(-507*f**2 + 117*f**2 - 180*f**2) + (-2*f + 0*f + 3*f + (1 - 2 - 1)*(2*f - 4 + 4) - 2*f - f + 0*f)*(-3*f**4 + f**4 + 4*f**4).\nAnswer: 1128*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {z: 3, c: 3, d: 1, t: 11, u: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jy when two letters picked without replacement from jssssssyjys.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/170 and -127\/1850.\nAnswer: 31450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5279 + 10657. Let z = -1735 + u. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7108 + -7108. Solve -15*l = -h - 19*l + 18, k = 3*h + 3*l - 18 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, e: 2, s: 1, k: 3}. Give prob of picking 1 i and 1 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*g + 17*g - 12 = -9*h, -5*g + 4*g + 14 = h for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 - -20. Suppose -f = -s + 10. Suppose -b = 6*b - 140. What is the least common multiple of s and b?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 s when four letters picked without replacement from {s: 2, c: 10, r: 6}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 252565 (base 8) to base 10.\nAnswer: 87413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -97157.54 + 97173.281031. Let v = -15.74 + b. Round v to 4 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1086.\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 - 10*y**2 - y - 14. Calculate u(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 4*t = -691, 55*h - 3347 = 50*h + 7*t. What is the highest common divisor of h and 108?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 10575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-8\/7)*t**(-8)\/t)\/(t**(-1\/7)*t**12) assuming t is positive.\nAnswer: t**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 11453759 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1)\/((-1)\/(-1))*(-355 + -8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + o**5 + 2*o**5 + (4*o**2 - 7*o**2 + 2*o**2)*(-3 + 2*o**3 + 3) + 2*o**5 - 4*o**5 + 0*o**5 + 2865 - o**3 - 2863 - 2*o**3 - 57*o**5.\nAnswer: -59*o**5 - 3*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/725 and -143\/30?\nAnswer: 4350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2\/7 - 492*p\/7 - 18080\/7 = 0. Calculate p.\nAnswer: -452, -40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*d**5 + 11590*d**4 - 569328*d**3 + 7134336*d**2 - 4506624*d = 0. What is d?\nAnswer: -3912, 0, 2\/3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/(-6) + 6 + 1. Let i(b) = -5*b + 7. Calculate i(w).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 1, m: 1, k: 2}. Give prob of picking 2 k.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -221515 (base 7) in base 14?\nAnswer: -1030c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/129 + 373\/903. What is the closest to 0.1 in -4, -0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 25.8, 42\/215, 2?\nAnswer: 42\/215","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1711 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 6*t**2 - 5. Let y be -3 + 1*(4 - -1). Suppose y*w + 9 = 4*p - w, 0 = -p - 2*w + 16. Give k(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*y + 16, -5*c = -3*y + 24 - 5. Let i(s) = -4*s + s + 160956 - 160956. What is i(c)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((sqrt(9) - (2*sqrt(9) + sqrt(9)))*1)\/(-2*sqrt(432))*4)**2 + 3).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7168584*s**2 - 49985004*s wrt s.\nAnswer: 14337168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose 4*l - 6 - 3 = y, i*l - 18 = -2*y. Factor -9*s**2 - 3 + 2*s - 8*s - 3*s**l - 6*s + 3*s.\nAnswer: -3*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:40 AM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 16 + 36*c + 2*c**2 - 2*c**3 - 28*c - 6*c**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d**3 + 0)*(-2 + 2 - 3) - 4*d**3 + 4*d**3 + 2*d**3 + 732*d**3 + 466*d**3 + 31*d**3.\nAnswer: 1228*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7070629l to millilitres.\nAnswer: 707.0629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1329 is divided by 94.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f**3 - f**2 + 9*f + 7. Let n be (-9)\/18*-2 - 4. Let y be a(n). What is the greatest common divisor of 75 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44449 + 44448.954033. What is f rounded to 4 decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-84)\/18)\/(-7))\/(151\/10872)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -88.9 - -85. Let m = 4 + o. Let b = m - 1.1. What is the second biggest value in b, 4\/9, 1?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -25 (b) 1 (c) -0.3 (d) -5 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -414 divided by 39370?\nAnswer: -207\/19685","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10903676?\nAnswer: 2, 7, 55631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7 and 23387.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126370193 is divided by 75?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmiksatmat. What is prob of picking 2 a?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1330 = 61*f - 96*f. Is -41 bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 85 (b) 11 (c) 224293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 209*q**3 + 121. Let w(f) = 7*f**3 + 4. Give -4*i(m) + 121*w(m).\nAnswer: 11*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(176) + 3)**2*3.\nAnswer: 24*sqrt(11) + 531","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f - 84. Suppose 2*j - 3 = -3*v - 1, -f = -2*v + 4*j. Suppose c = v*c - 195. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -5 + 5*p - 14 + 4. List the prime factors of t(9).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 212, 209, 206, 203?\n\"Answer: -3*b + 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -77 - -72. Let w be 5\/(-5 + b)*0. Which is bigger: w or 5\/14?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2 - 55266*n - 110536 = 0. Calculate n.\nAnswer: -2, 55268","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*w + 4*l + l, 0 = -4*l - 20. Let n(q) = q**2 + 18*q + 36. Let u be n(-16). Calculate the common denominator of -52\/11 and u + (-66)\/(-16) + w.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11577799 rounded to two dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 10 = 3*c, -24 + 6 = -2*c - 5*b for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*o + 12*o + 2*s - 5, 3*s - 12 = 3*o. Let t(r) = 11*r - 11. Let z(l) = 2. Let k(f) = o*t(f) + 6*z(f). Let h(d) = d**2. Determine k(h(i)).\nAnswer: 11*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**3 - 24*m**2 + 74*m + 18. Determine p(7).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -519761+-0.1\nAnswer: -519761.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 11 - 23. Let w(q) = 7*q**2 - 5*q - 2. Let i(u) = -8*u**2 + 6*u + 3. What is p*i(s) - 4*w(s)?\nAnswer: -4*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*o**3 + 4995*o - 9992*o + 4997*o.\nAnswer: -146*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 109241805017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {w: 1, z: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 4*a - 8*a - 215, 3*r = 2*a + 211. Let h = 1815 + -1881. Let z = r - h. What are the prime factors of z?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1729 and 13311077?\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -141. Let i = m - 77.1. Let x = 7.89999972 - i. What is x rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 398370000 to the nearest one million.\nAnswer: 398000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 54 + 3. Let t = -20 + y. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 6932352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.056, 2\/7, -5?\nAnswer: -0.056","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 2. Suppose 3 - 18 = -3*h - 4*l, 0 = -h + l + 5. Let c be a(h). Solve 0 = u + 7 - c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.052 - -0.058. Sort 1, 1\/6, b in increasing order.\nAnswer: b, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 148*(-93)\/1116*-6\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/66700 and -31\/40250.\nAnswer: 2334500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 4:49 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10527 to the power of 1\/2, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1726166 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:45 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 364*d**2 - 187*d**2 + 141*d - 181*d**2 as t*d**2 + o + q*d and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 + -10.\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 60622 a multiple of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 64 = -d, -19 = -5*d + 1. Let r = 12 - k. Factor 2\/5*w**3 + r - 2\/5*w**2 + 0*w.\nAnswer: 2*w**2*(w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -219 + 4159\/19. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 666*t + 36963.\nAnswer: 3*(t - 111)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2 = 0, 0 = 6*m - m - 2*h + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 0*p + 4. Let m = 235.9 + -248. Let q = m + 12. Which is the nearest to p? (a) 3 (b) q (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 1224.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4a93bc (base 14) to base 13.\nAnswer: -6b883a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.09, 21\/13, 2, -0.5?\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(2)*1 + (sqrt(63) + (sqrt(1575) - (sqrt(1575) + 1*sqrt(1575))) - sqrt(63)))\/((sqrt(180)\/sqrt(4)*-2)\/sqrt(5)))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6865726 and 848.\nAnswer: 54925808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - (-90)\/(-12)*(-34)\/3. Suppose 33 + p = f. Does 12 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/(-253) - (163\/11 + -1). Let u(z) = -z - 13. Let t be u(m). Put t, -1\/4, 4, -0.2 in decreasing order.\nAnswer: 4, t, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -2*a**2 + 1. Let d(v) = -2*v - 8. Give -d(j) - 6*z(j).\nAnswer: 12*j**2 + 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 325 and 3474575?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 + 0*t**3 - 4*t**3)*(t - 6*t + 3*t) - 129 + 4*t**4 - 8781307*t**3 + 8781307*t**3 + (-t**3 - t**3 + 0*t**3)*(-2 - t + 2).\nAnswer: 8*t**4 - 129","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 20124.\nAnswer: 20124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 10, 5*k + i = 56 - 54 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1685 = -79*p - 182*p - 76*p. What is the closest to -3 in p, 15, -2\/29, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 7\/2035 (b) 0.4 (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 1:57 AM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -516.223 - 3467.\nAnswer: -3983.223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.353 and -54.\nAnswer: 19.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 90.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -8*b + 7. Let q be c(3). Let r = 19 - q. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -442 - -485. Which is bigger: n or 37?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58*4*(184\/(-23))\/64.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -713*x**6\/2 - 5*x**3\/3 - 205*x + 1307. Find the third derivative of f(z) wrt z.\nAnswer: -128340*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4 + 3380*d**3 - 1424666*d**2 - 2859480*d - 1431432.\nAnswer: -2*(d - 846)**2*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}