diff --git "a/data/dm_maths/full_data_1/1681_11255.jsonl" "b/data/dm_maths/full_data_1/1681_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1681_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let z(v) = 2*v**2 + 4*v + 1. Calculate the remainder when 19 is divided by z(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 192 and 9075.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229162, 229170, 229178, 229186?\nAnswer: 229194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*n + 19*n = 9*l - 5*l - 18, -35*l + 45 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 71 (b) 2\/13 (c) 31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-66)\/21)\/(936\/(-364)) + -1.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, o: 2, i: 2, z: 2, j: 2, h: 1}. What is prob of picking 2 j and 2 z?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8974 or 8975?\nAnswer: 8974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 12013?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (14\/28)\/(((-3)\/(-1))\/180) and 78.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide ((-38)\/(-76))\/(1\/232)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11471, 22942, 34415, 45896, 57391?\nAnswer: 68906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*x**2 + 1 - 68*x**3 - 24*x**3 - 63*x**3 - 2*x**3 to the form v*x + o*x**2 + m*x**3 + j and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 3*o - 4. Let k be y(9). Suppose -10*m + 131 - k = 0. Factor 2\/13*c**3 - 2\/13*c - 2\/13*c**4 + m + 2\/13*c**2.\nAnswer: -2*c*(c - 1)**2*(c + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1611*g - 3417*g + 1805*g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.689 - -29.689. Which is the nearest to 10? (a) 1 (b) -0.4 (c) 1\/5 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**4 + c**4 - 7*c**4 + (-21*c + 10*c - 19*c)*(103*c**2 - 4*c**3 - 103*c**2) to y*c + b*c**4 + f + v*c**2 + j*c**3 and give b.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 AM and 3:16 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 102774 to the power of 1\/2, to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/40 and 26\/155.\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 - 2.04. Let m be 3136\/(-6174) + (-29)\/(-9) + -3. What is the nearest to m in -2\/7, c, 3?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4855 + -4505. What are the prime factors of n?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**3 - 39*h**2 + 332*h - 1463. Give t(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1587 + -1670 - (-134 + 1)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) + sqrt(190)*-2)*-2 - sqrt(190) - (-3*(sqrt(190) - 2*sqrt(190)) - sqrt(190) - sqrt(190)))\/((sqrt(60)\/(sqrt(9)\/sqrt(3) + sqrt(3)))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*r + 5*v, 0 = -3*r + r + 2*v + 38. Calculate the remainder when 5\/r*(22 + -1) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(3\/4)*d*d**5*d)\/(d**(-1))**(1\/8)*(d*d*d**(4\/3)*d*d**3\/d)**(-8\/9) assuming d is positive.\nAnswer: d**(701\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -114024 - -8267373. Let k = -4016651 - n. Round k to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + 20*l**2 + 173*l - 77. Determine h(-5).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.02 - 7.02. Let m = g - -6. Which is the second biggest value? (a) 5 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 5*j + 92 - 69 = 0, -5*j = 15 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 635 (base 7) to base 10\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 at least as big as 42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*z - 120 + z**2 + z**2 - z**2 wrt z.\nAnswer: 2*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-11)\/(-2))\/(6\/12). Let r(s) = s - 1. Let y be r(-6). Let i = y + b. Solve i*n = 4*x + 4 + 4, -3*n - 4*x - 1 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9287007 is divided by 1547831.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -397.4682 to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57.05641 + -0.09641. What is d rounded to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a - 4860 = -22*a. Let i = 553 - a. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5847, 5827, 5799, 5763, 5719?\nAnswer: 5667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(3\/(-1) - (-14)\/5). Let r(y) = -y**3 - 10*y**2 - 8*y + 3. What is the tens digit of r(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-17346)\/196*2*246\/(-9).\nAnswer: 2, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*z + 15 = 87. Suppose -9*o = z*o - 15. Which is smaller: -2 or o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 + 27*z - 43. Let u be x(-15). Let n(c) = -120*c**u + 107*c - 107*c. Let g(b) = -b**2. Calculate g(n(o)).\nAnswer: -14400*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 - 2*j**2 - j + 3. Let p be b(1). Solve -w + g = 3*g + p, 4*w = g - 22 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1363 = 3*g, -8*g + 3*g + 4*w = 2301. Let q = g + 489. Is q a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 315\/43958 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 136.96879 days?\nAnswer: 19.56697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 93 + -97. Let t = -4.1 - z. Let k = -0.07 - -0.47. What is the closest to -1\/5 in k, 2\/7, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 6*y + 5. Let m be (-4)\/18 - 4355\/(-117). Let x = m + -32. Let n(t) = 3*t + 3. Determine x*n(i) - 3*p(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 185728 and 803854.\nAnswer: 2902","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -104\/5 + 2\/5*b**2 - 102\/5*b = 0.\nAnswer: -1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 373228302.\nAnswer: 2, 3, 17, 673, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 550 + -547. Let i = -1 - -6. Sort -5, i, -15, b in ascending order.\nAnswer: -15, -5, b, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55385 divided by -5?\nAnswer: -11077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5 and 46?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 19704.2, 4, 1\/5, -5, 0.5?\nAnswer: 19704.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 4, 19 in descending order.\nAnswer: 19, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4 - 9*f - 3 + 2 - f. Let t be b(-4). Suppose 4*r - 15 = -t. Sort r, -2\/9, 0.1.\nAnswer: r, -2\/9, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/24)\/(1449\/552)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 23 - 15 - 8 + 29*d. Let h(s) = -2*s. Determine q(h(x)).\nAnswer: -58*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -r**4*y - 6*r**4 - 2721*r**3*y + 3*r**3 + 6302*r**2*y - 5*y wrt r.\nAnswer: -24*r*y - 144*r - 16326*y + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/10 and -19\/45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 8*m - l + 28, -2*l = -2*m + 16. Suppose -4*p + m = -24. Solve 2*y - p = -3*a, -3*a = -12 + 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 6\/13, 0.18, -276?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171164 is divided by 429?\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 7 = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 98292 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w + 50. Suppose 0 = -4*r + 5*z + 8 - 41, -2*r + 5*z - 9 = 0. Let c be o(r). Suppose 20 = -0*b + 4*b. Solve -b*x - c = -7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 9, f: 1, t: 7}. Give prob of sequence tt.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = u + 5*u. Suppose 0 = -s - s + u. Sort -5, s, 6 in decreasing order.\nAnswer: 6, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10166253037 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i - 5*i - 9*i + (699 + 134*i - 699)*(-7 - 1 - 4) to the form s + t*i and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Let y(v) be the second derivative of -v**5\/20 + v**4\/4 + 5*v**3\/6 + v. What is y(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 44\/3. What is the second smallest value in -2, -4, 5, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 103413278 to the nearest integer?\nAnswer: 10169","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/(-42)*(-56)\/12. Suppose 2*n + 0*i - 274 = d*i, 2*i = 8. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 15*o + 30*o - 41*o. Let x(a) = 3*a - 7*a + 0*a. What is x(f(d))?\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202 by 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2814757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7b1 - 0?\nAnswer: -7b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -21. Let x = q - -26. Suppose 23 = 4*z - 1. Solve -x*j - 10 = z for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173246.9854 + 173300. Let w = q + -53. Round w to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from odonookdnidonoino.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 4*t + 715. Let y = t - 215. Let a be 52\/y - 4\/(-18). What is the closest to 1 in 0.4, 5, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 + 16*i + 29. Let v be k(-5). Let j(p) = 2*p - 260*p**2 + 2 + 524*p**2 - 263*p**2. Give j(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20 - -39. What is the remainder when 37 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0391 * -1.6.\nAnswer: 0.06256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -1804 (c) 4 (d) 592\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -422*l - 2. Let a(p) = 413*p + 6. Give -2*a(u) - 3*y(u).\nAnswer: 440*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 3*g - 1 = 12, -2*q = 2*g - 8. Suppose u = -q*s - 103, 3*u - 4*s + 351 = 23. Are -108 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*k**5 - 24*k**4*t - k**3*t + 45*k**2 - 2*t wrt k.\nAnswer: -180*k**2 - 576*k*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 - 13. Let q = -3682.7 - -3682.8. Which is the third smallest value? (a) z (b) 0.06 (c) q (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**4 + 16*p**3\/9 + 31*p**2\/9 + 2*p\/3 = 0. What is p?\nAnswer: -1, -2\/9, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, m: 10}. Give prob of picking 2 m.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 8*b**2 + 19*b + 8. Let y be f(-4). Let r(u) = u**3 + 3*u**2 - 8*u - 14. Give r(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1152)\/(-552) - 4\/46. Find the second derivative of -100*u**4 - u + 2 - 34*u**k + 21*u**2 + 13*u**2 wrt u.\nAnswer: -1200*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27238?\nAnswer: 2, 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42842?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 35 = -2*s. What is the common denominator of 134\/(-21) - (-2)\/s and 29\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56936, -227563, -511942, -910073, -1421956, -2047591, -2786978?\n\"Answer: -56876*v**2 + v - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + t = -1627, -3*t + 6*t = 3*p - 2436. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t + 10. Let g be a(-5). Let w = -18 - g. Let f = -32 - w. Are f and 9\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3, -13, -41, -99, -199, -353, -573?\n\"Answer: -2*u**3 + 3*u**2 - 5*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from oxooooxxoxxox.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*k**3 - 225*k**3 + 38*k**3 - 168*k**3.\nAnswer: -326*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 + h - 1. Let g be w(1). Let p = g - -10. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1204\/(-14)*(12\/(-102) + 42\/68)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 4*c + 3. Let b(r) = -3*r**2 + 11*r - 8. Determine 3*b(k) + 8*d(k).\nAnswer: -k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23162 is divided by 5773.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-33)*2\/1. Let r = -0.01 - 0.09. Let w(g) = -g**2 - 3*g - 1. Let k be w(-3). What is the nearest to k in f, 0.4, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let z be p*(-2)\/4 + -2. Let n(a) = -3*a - 3. What is n(z)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5929 is divided by 3527.\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.19 + 11.19. Which is the closest to -2\/7? (a) -12.4 (b) 4\/3 (c) -6 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - 7. Let b be 26\/7 - 4\/(-14). Suppose -4 = -b*r, r + g - 1 = 5*n. Solve -2*k + 3 - n = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-4))\/3*2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: c34a (base 15) to base 2\nAnswer: 1010000100011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -297*b**3 - 3*b**2 - b + 2. Let o be a(-1). What is the tens digit of (-7 - o\/15)\/((-2)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.317 rounded to 2 dps?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lzpljssjspssjsf. What is prob of picking 1 z, 1 p, and 1 l?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**4 + 2*o**3 - 2*o**3 + (-o + 2 - 2)*(10*o**3 + 8*o**3 - 4*o**3) to w*o**2 + g*o + k*o**3 + t*o**4 + r and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1127 and 4?\nAnswer: 4508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(-7)\/((-490)\/7)*5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -398, 3, 126, -98 in decreasing order.\nAnswer: 126, 3, -3, -98, -398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 85 + -79. What is the remainder when 73 is divided by 3\/(s\/(-150)*-3)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-9))\/(301\/(-75) + 4). Let l = d + -27. List the prime factors of l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*w**2 - 15*w**2 + 2*w**2 to the form z + p*w + s*w**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*u + 5)*(45*u + 41*u - 61*u)*(0 + 4 - 1).\nAnswer: 150*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n*n**(-1\/43))*n\/(n*n*n*n*n*n**(-4\/11))*n)\/(n**(-4)\/(n\/n**10)))**46 assuming n is positive.\nAnswer: n**(-209162\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 + -2. Let r = -0.8 - m. Let y = r - 1.05. What is y rounded to 1 decimal place?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00238185877 rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of t**4\/8 + 9*t**3\/2 + 135*t**2\/4 - 675*t\/2 + 347. Factor n(x).\nAnswer: (x - 3)*(x + 15)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 + 269*(1 - 12\/(-12)) and 28.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.3495618 centuries?\nAnswer: 0.03495618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggggagg. What is prob of picking 1 g and 1 a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.8 + -0.5. Let b = -2 + 1. Let o = 6 - 8. What is the nearest to o in 2\/21, l, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f - 11. Let a be h(-5). Suppose 12*y - 10*y = -a. Let o = y - -16. Calculate the greatest common factor of o and 112.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9628 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 - 45*m**2 + 49*m + 139. What is u(-46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 5904?\nAnswer: -5\/5904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7789061 + 219*u**2 + 7789061.\nAnswer: 219*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - q + 2. Suppose 5*i - 2*n - 2 = 0, -2*i + 6 = 4*n - 14. Let b be u(i). Calculate the highest common factor of b and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 57 + 1?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -10*w + 184. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 3 (b) -4\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 813 and 5149?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 + 14*u - 90. Let h be q(5). Solve 2*a + 3*i + h = 0, -3*a + 0*a = 3*i + 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*p - 5*p - p**2 - 12*p + 2*p**2.\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 4*w**2 + 6*w + 153. Let s be d(0). What is the highest common factor of s and 1581?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 312423 and 185090?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*d**3 - 464352*d**2 + 13475959380*d + 26953776200 = 0. What is d?\nAnswer: -2, 58045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -51\/3950 and 69\/13825?\nAnswer: 27650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12004 (base 5) to base 11.\nAnswer: -72a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -209 + 322. Calculate the greatest common factor of p and 2147.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -4202034202?\nAnswer: 4202034211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 1:30 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 19, -5, 2, 5, -3, 108 in descending order.\nAnswer: 108, 19, 5, 2, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150 = -208*x + 202*x for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0220463 millennia to decades.\nAnswer: 2.20463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*v - 5*j, -459*j = -456*j - 9 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5664 = 202*o - 412 for o.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 9 + 3*j)*(-106*j**2 + 103*j**2 - 20 - 27*j**3 - 833*j + 832*j) in the form x*j + v*j**2 + r*j**3 + w*j**4 + z and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 114 + -113.5. Let i be (3*2)\/(-3) - 8\/(-12). Put i, q, 4 in decreasing order.\nAnswer: 4, q, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/20 + 33\/12 + 4. What is the least common multiple of 93 and k\/(-6) + 3 + 22?\nAnswer: 744","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 66310032?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -16, -22, -6, -0.02, -10 in descending order.\nAnswer: -0.02, -4, -6, -10, -16, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 8*r + h + 125 = 0, 253 = 4*r - 5*h. What are the prime factors of r?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39.6 - 39.5. What is the nearest to -0.05 in 1, -4\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*k - 4)*(-366 - 328 + 76 - 435 - 307).\nAnswer: 2720*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*2)\/(8*(344\/(-160))\/43).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 16, 20227, 30 in decreasing order.\nAnswer: 20227, 30, 16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42269 + 42267.8. Let m be -2 + -2 + 1 - -1. What is the biggest value in o, 2\/5, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1567*t - 7*j = 1566*t - 9, 5*t - 93 = -11*j for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = -144. Let v be (2\/(-2))\/(2\/16). Let g be 4\/(-16) + k\/v. Put 1, g, -0.3 in decreasing order.\nAnswer: g, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-491)\/(-2946) - ((-1606)\/12 + -2). Calculate the greatest common factor of 493 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 9*u**2 + 168*u - 21. Let i be w(-19). What is the greatest common factor of i and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81376589.\nAnswer: 7, 11625227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*u + 2871 = 3757 + 4074 for u.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -1\/2 (b) 0.4 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -dc613a - -3?\nAnswer: -dc6137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 35\/100 - (-4)\/10. What is the second biggest value in -0.4, u, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 15 = 3*i, 3*l = -2*i - 1 + 12. Let q(h) = -h**3 - 32*h**2 - 34*h - 91. Let c be q(-31). Solve -l = g + c*g - 2*w, -4*g - 4 = -2*w for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -130029, -520175, -1170535, -2081205, -3252281, -4683859, -6376035?\nAnswer: -8328905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22 + 63011*y + 44 + 221257*y - 22.\nAnswer: 284268*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -27 + 212. Let v(a) = a + 190 - 2*a - f. What is v(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1884100, 1884099, 1884098, 1884097, 1884096, 1884095?\nAnswer: 1884094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -281.9 - -109.2. What is z rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*d + 28 = 0. Suppose -2*n + 3*n = d. Suppose n*q - 4*k + 24 = 0, -2*k + 18 = 2*q + 2*k. What is the nearest to 0 in 0.1, q, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331786447 to the power of 1\/4, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*w + 81*w + 86*w + 78*w.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 7*r**3 - 6*r**2 + 5*r. Let a(d) = 2*d**2 + d + 0*d - 3*d**2 + d**3. Let n(z) = -4*a(z) + l(z). Let c = 13 - 12. Calculate n(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/42 and -11\/38001.\nAnswer: 532014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhpsl. What is prob of sequence sph?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.4 + -14.7. Let s = 9.7 + o. Let x = -14.4 - s. Sort -0.3, -2\/23, x in descending order.\nAnswer: -2\/23, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*v + 35 = 0, 0*t - t + 4*v - 7 = 0. Suppose z - 3*f - 3 = 17, -2*f = -2*z + 20. Suppose 4*n - 2 - 6 = 0. Sort z, n, t.\nAnswer: t, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/20 + -1\/4. Which is greater: 1 or y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -305*o = -210*o. Let s(q) be the third derivative of o*q + 1\/24*q**6 + 4*q**2 + 1\/42*q**7 + 0*q**4 + 0*q**5 + 0 + 0*q**3. Factor s(g).\nAnswer: 5*g**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -32265084 + -3?\nAnswer: -32265087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((q\/(q**(2\/5)\/q*q))**(-28))**44)**(8\/5))**(1\/51) assuming q is positive.\nAnswer: q**(-9856\/425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -128. Does 20 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -319\/911 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 6*u**2 - 2*u - 5. Let b be w(-6). Let l = 10 - b. Suppose -z - l*z = -28. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 0*v**3 + 2*v**3 + 5*v - 4*v**3 + v**3 + 5*v**2 + 6. Let q be n(6). Let j(l) = l**3 + 17*l**2 - 17*l + 19. Let s be j(-18). Is q not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 4*j**2 + 16*j + 17. What is the first derivative of t(n) wrt n?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/1189552 and -45\/42484.\nAnswer: 1189552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 2*z - 13, -2*z - n - 8 = 3*z. Let j be ((-2)\/(-4))\/(z\/2). Let w(o) = o - 5. Let b be w(5). Which is bigger: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3) - 1)*-18. Is (-586)\/(-10) - w\/(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vr when two letters picked without replacement from {r: 1, t: 2, e: 3, f: 3, p: 1, v: 8}.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 989\/5 + -4061\/20. Find the common denominator of a and 9\/((-1800)\/905) - -4.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**3 - t**3 + 16*t - 5*t**3 - 10*t as d*t**3 + b*t**2 + v + j*t and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 66.328922 and -3?\nAnswer: -198.986766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -9*s**2 - 623*s - 137. Give d(-69).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17 + 20. Suppose -g*v + 0*v = -2865. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 82446, 164892, 247338, 329784?\n\"Answer: 82446*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -769321.\nAnswer: -5\/769321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4392*x**2 + 276*x**2 + 4109*x**2.\nAnswer: -7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*x = -13, -6*u + u + 4*x = -86. Is 2638\/(((-132)\/u)\/(-11)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*v + 102 = 2*k, k + v - 20 = 0. Suppose 367 = 3*u + k. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**2 + 19*g + 4. Calculate the smallest common multiple of 24 and u(19).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4270904?\nAnswer: 2, 11, 48533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 62*l**2 - 36*l + 17*l + 19*l to the form q*l**2 + p*l + b and give q.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10820004 by -20969.\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-258)\/(-430)*4\/6. Solve -8\/5*x**2 + 0*x + 0*x**3 + 6\/5*x**4 + 0 - z*x**5 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/34)\/12*10\/(100\/(-510))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6668855*d**5 - 3705701*d.\nAnswer: -133377100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4)\/(v**(-5)\/v))\/(((v*v**(-1\/2))\/v)\/v)**(11\/5) assuming v is positive.\nAnswer: v**(53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 623043 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.3483 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5850 and 55026.\nAnswer: 321902100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 39*i**2 - 81*i + 30. Let q be v(-41). Let z(c) = c**3 + 13*c**2 - 38*c - 13. Is 50 a factor of z(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 1, l: 1, x: 1, o: 1}. Give prob of sequence xl.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38916 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:24 AM and 12:44 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**4\/2 + 905*u**3\/2 - 20726*u**2 + 143960*u - 273312 = 0.\nAnswer: -949, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 3210*z + 7728075.\nAnswer: (z + 4815)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 177 = -2*f, -5*i - 4*f + 2*f + 173 = 0. Suppose -2 = -y - 0*y. Suppose -y*k + 18 = -c, -3*k - 5*c = -i + 8. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**9*c)\/(((c**9*c*c)\/c)\/c*c))\/(c*((c*c**5)\/c)\/c*c\/(c*c**(-2\/15)*c)*c) assuming c is positive.\nAnswer: c**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**4 - 7*l**3 - 6*l**2 - 3 + 9*l**3 + 5 - 3*l**3 in the form w*l**3 + v*l**4 + s + b*l**2 + k*l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -14, -16, -12, -2, 14?\n\"Answer: 3*a**2 - 17*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l - 20 = 7*l + 2*s, -s + 4 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1536*g**2 - 742*g wrt g.\nAnswer: 3072","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 28*p**2 - 13*p**2 + 3 - 14*p**2 as l*p + f*p**2 + x and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*k + 529 + 91 = 0, 0 = -4*t - 5*k + 780. Let r = -118 - 20. Let f = t + r. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3300201 (base 4) to base 16.\nAnswer: -3c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 - 43*u**2 - 83*u + 49. What is c(-41)?\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4*z**3 - 139*z**2 + 18*z - 507. Let i be k(-35). Put 3, 0, -2, i, 4 in descending order.\nAnswer: i, 4, 3, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + (-8)\/32*0)*16\/(-60). Let o be (8\/(-462))\/((-4)\/6). What is the closest to o in -2, w, 3\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60052024 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 3, 3*j + 696 = -4*t + 5. Let y = 233 + j. Solve -w = i, -5*w + w + y = 2*i for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-426)\/1065*(-15)\/1)\/((-1)\/(-4))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x**23*x))**17 assuming x is positive.\nAnswer: x**(-391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + -4 - (4 - 8). Let b(j) = j**3 - 12*j**2 - 14*j + 16. Let l be b(13). Let x(v) = -v**3 - 6*v**2 - v - v + l*v**2. Determine x(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8) - -2 - 2?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 7*s + 16. Let a(d) = -6*d - 14. Let h(f) = -6*a(f) - 5*k(f). What is h(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 2:06 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -65*v**5 - 131*v.\nAnswer: -1300*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128116539, 128116536, 128116533?\nAnswer: 128116530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 - 4*t + 7. Let l be g(-5). Suppose 3*c = 3, 4*o - 5*c - 17 = -l. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 157*i + 6794 = -9*i for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 13154 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 816255 and 5148?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39064, -78226, -117432, -156682?\nAnswer: -195976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -6*v + 7. Let u be (3\/2)\/(54\/(-180)). Let b(g) = 5*g - 6. Calculate u*b(j) - 4*d(j).\nAnswer: -j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-five halves of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 5*s**2 - 6*s**2)*((1 - 2 + 0)*(-3*s + 4*s - 3*s) + s - 3*s + 3*s).\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24177454 and 287328?\nAnswer: 5986","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-628)\/(-9) - 26\/(-117). Suppose 0 = -58*o + 63*o - w. Let u = 17 - 3. Calculate the highest common divisor of o and u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*c = -21*c - 400 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*p, 0*m = m - 2*p + 2. Let t(c) = 0*c + 2*c + c**2 + 14*c - m*c**2. Determine t(16).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -16*y + 18*y - 3*y. Let p(g) be the second derivative of -2*g + 0*g**3 + 0 + 0*g**2 - 1\/6*g**4. Give p(t(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1045 (b) -0.5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -10. Let w = -25.4 - b. What is the third biggest value in w, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8461805*n**2*s**2*u - n**2*s**2 - 2*n**2*u - 89*n**2 - 2*n*s**2 - 8*n - 33*s - 2 wrt u?\nAnswer: -8461805*n**2*s**2 - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128284 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: What is the fourth biggest value in -0.1, 3, 0.0935, 0.08?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwd when three letters picked without replacement from addpadddddddwaadddad.\nAnswer: 13\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 1137651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 3*f. Let m be (-72)\/(-32) + 6\/8. Let t be (-7)\/m - (-2 + 5\/3). Determine j(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1058, 8261, 27812, 65885, 128654, 222293?\nAnswer: 352976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 213*r*s**2 - 38*r*s*v - 3*s**3*v**2 + s**3 - 2*s - 6*v**3 wrt v?\nAnswer: -38*r*s - 6*s**3*v - 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-689247)\/(-11782)*(38\/18 - 1)\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 132529157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2 = 7. Suppose k*a - 3*n = 2, -3*a - n - 3 = -7*a. Let q(f) = -6*f - 1. Give q(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 + 61*h**2 - 75*h - 72. List the prime factors of n(-27).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 359, 0, -3 in descending order.\nAnswer: 359, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 197 + -3)*(-15)\/(-20). Let f be (-1)\/(3\/s*2). List the prime factors of 134\/(-2)*(-27 - f).\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 - -0.023079.\nAnswer: 26.023079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 0*s = -5*u + 20, 0 = 2*s + 4*u. Let g = 6 - s. Put 0, g, 2 in ascending order.\nAnswer: g, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**3 - 11*k**2 + 13*k - 22. Is 17 a factor of n(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -5*a**4\/24 + a**3\/6 - 4*a**2. Let s be c(-1). Solve -5*f - s = 4 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -880*k**2 - 1140825 + 1140825.\nAnswer: -880*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 3*p = -17, -p + 3*p = -3*s + 10. Let a = s + -1. Let f(v) = -v + v**2 + v - v. Calculate f(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, 6\/13, -0.06, 3\/4, 1\/22.\nAnswer: -0.06, 1\/22, 6\/13, 3\/4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5*-913\nAnswer: -4565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 746 is divided by 83.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {h: 2, c: 1, a: 1, v: 2, y: 1, n: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-2))\/((1\/(-68))\/(41\/533*13)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h**3 - 2 - 51*h**3 + 3.\nAnswer: -3*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-3)*10\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -67 and -186856 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 197 + -197. Solve f = 22*g - 32*g + 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4940.839 to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2410.78707 seconds?\nAnswer: 0.027902628125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/27)\/((-38)\/(-57)). Which is the nearest to l? (a) 0.1 (b) -4 (c) -0.7 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.15 - 426.2983?\nAnswer: -439.4483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 16) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1157 divide 1365619726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 61432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 6405919031 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 0 + 9*h + 13*h + 0*h.\nAnswer: 22*h - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*u + 1 + 17*u + 16*u + 5*u - 40*u + 2*u.\nAnswer: 16*u + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**3 - 5*y**2 - 5*y + 5*y**2 + 8*y**2 - 6*y**2 + 3 + 3 as b*y**3 + m*y + o*y**2 + a and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 108 + -108.00000146. Round h to seven decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -143, -151, -181, -239, -331?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -0.06 (c) 5 (d) 4\/5 (e) -15 (f) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5.4 or -2?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 2702554?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wnwvwwvnnnnwxav. Give prob of picking 1 x and 1 w.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k + 3*k**2 - 2*k + (-74 + 74 + 29*k**2)*(0 + 2 - 1) + 3*k**2 + 2*k + 0*k + 2 - k**2)*(-1 - k + 1).\nAnswer: -34*k**3 - 2*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w + 38*w + 17*w.\nAnswer: 59*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -23*f + 136 for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 - 3*i**3 - i - 61*i**2 + 60*i**2 + 2*i - 200*i**3 to w*i**2 + k*i**4 + p*i + q + r*i**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 15*y**2 - 3*y + 28. What is c(15)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 18*q**3 - 18*q**2 - 2*q + 10. Let m(h) = 4*h**3 - 2*h**2. Let r(x) = c(x) - 4*m(x). Factor r(j).\nAnswer: 2*(j - 5)*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 43*d + 113. Calculate t(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**11)**(3\/22)*(m*m*m**(-2)\/m*m)**(-7\/9) assuming m is positive.\nAnswer: m**(3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -311*p = 277*p - 624*p + 720 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0221 + -0.0779. Let x be (12\/(-5) - -2) + 28\/245. Which is the closest to d? (a) x (b) 0.2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 + 1)*(2*z + 2*z - 5*z) - 5*z + 2*z + 4*z + (-98*z - 42*z - 124*z)*(0 + 2 - 4) + 1 - 5 + 2 - 2*z as o + d*z and give d.\nAnswer: 525","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) 0 (c) -101\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22439 is divided by 5539.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1 - 2 + 2. Let g = -103 - -107. Let z(i) = i**2 - 7 - i**2 + 10 - i**2. Calculate g*v(q) + z(q).\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/8 of a kilometer?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1671969320 to the nearest 10000.\nAnswer: -1671970000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-25)*2 - (-95408)\/(-20). Round f to the nearest 100.\nAnswer: -4800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-21)\/1*11\/(-33). Suppose -3*r - 12 = -a*r. Suppose -13*t = -52*t + 234. What is the highest common factor of t and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -5*c**2. Let a(r) = -6*r**2. Let w(x) = -4*a(x) + 5*f(x). Let z(b) = -1489*b - 2*b**2 + 3003*b - 1515*b. Give z(w(n)).\nAnswer: -2*n**4 + n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -565 - -565. Is -1\/1310 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -1127*d**6\/15 - 1693*d**2 - d + 648. Find the first derivative of f(i) wrt i.\nAnswer: -9016*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -17, -32, -43, -50, -53?\n\"Answer: 2*g**2 - 21*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**(-26))**(8\/3)\/((j**(4\/9)*j**(2\/7)\/j)\/(j**(1\/2)\/(j*j**(-3\/4)))) assuming j is positive.\nAnswer: j**(-17341\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -593*i + 737. Let r(j) = -1185*j + 1473. Let x(v) = -13*f(v) + 6*r(v). What is the derivative of x(l) wrt l?\nAnswer: 599","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12614?\nAnswer: 2, 7, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 12*p + 16. Let m be h(10). Is -23\/6 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2565, 5137, 7709?\nAnswer: 10281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 11*t**2 - 9*t + 1. Let c(f) = -f**2 + f - 1. Let l(a) = 18*c(a) + 2*r(a). Factor l(u).\nAnswer: 4*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 254900\/(31 + -6)*(-2)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**2 - 9*q - 3 + 4*q**2 - q**3 + 4*q + 35*q**4 + 7*q to v*q + w*q**3 + a*q**4 + j*q**2 + b and give a.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*(sqrt(1539) - (1 + sqrt(1539) + 1)))*3*6.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -569 - -574. Solve -f - 3 = 14*z - 15*z, m*z - 3 = -f for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7096 (base 10) in base 16?\nAnswer: 1bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 130 and 6.\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0*c**2 - c**2 - 2102*c**4 + 2104*c**4 + 3*c**3 as t*c**3 + n + f*c + v*c**4 + d*c**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b + 9. Let c(w) = 3*w - 9. Let q(g) = -3*c(g) - 4*i(g). Let x(u) = 31*u + 1106. Let y be x(-36). Determine q(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1787*k + 1676 with respect to k.\nAnswer: 1787","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3, 74, 211, 414?\n\"Answer: 33*l**2 - 28*l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*z**4 - 29*z**3 - 1456*z**2 + 3354647*z?\nAnswer: -72*z**2 - 174*z - 2912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnyy. What is prob of sequence ynp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c**4 - 6*c**3 - 7*c**2 + 3*c - 3. Let k(f) = 16*f**4 - 25*f**3 - 29*f**2 + 12*f - 11. Let x(h) = -6*k(h) + 22*z(h). Factor x(j).\nAnswer: -2*j*(j - 3)*(j + 1)*(4*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2034991860.\nAnswer: 2, 3, 5, 11, 37, 167, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26982 - 1241091\/46. Calculate the common denominator of k and (-98)\/60*(-2)\/((-8)\/(-6)).\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 28741.1363 to the nearest ten.\nAnswer: 28740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 350493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 397 - 4*s + 397 + 388 + 395 - 7*s**2 - 1580. Let n(j) = 6*j**2 + 3*j + 2. Determine -4*i(y) - 5*n(y).\nAnswer: -2*y**2 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 2*s + 1116. Let x be d(32). Put x, -2, 2\/9, -13\/2, 1\/8 in increasing order.\nAnswer: -13\/2, -2, 1\/8, 2\/9, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {f: 2, r: 4, g: 10}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 2064\/84)\/((-5)\/((-35)\/(-2)))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154028 is divided by 50407?\nAnswer: 2807","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/80*4\/3. Let o = -2\/5 + k. Which is the third biggest value? (a) -5 (b) -1\/4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p*p**(4\/3))\/(p**(-13\/3)\/p))\/((p*p\/(p**7*p))\/p)**4)**(2\/163) assuming p is positive.\nAnswer: p**(226\/489)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12611960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = -p. Let h(k) = 2*k. Let z(s) = s - 1. Let g(u) = -4*h(u) + 7*z(u). Calculate g(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 111034 and 475860?\nAnswer: 3331020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - m + 6 = 0. Suppose m*j + 3207 = 5*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -458*d + 455*d - 5*f = 1, 0 = -d + 3*f - 5. Let z = -47\/3 + 191\/12. What is the third biggest value in z, -4\/7, d, 4?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14772.686 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 1330, 1\/3, -7\/12 in ascending order.\nAnswer: -1, -7\/12, 0, 1\/3, 1330","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-9)\/s*s**(2\/7)*s assuming s is positive.\nAnswer: s**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 370*n - 6006. Calculate p(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 486755 and 67.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -317*v - 1609. Determine j(-6).\nAnswer: 293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 13*d + 11*d - 4, -4*f - 2*d = 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + g + 24 = 3*g, 25 = -5*g. Suppose -14*u = -n*u + 159. What is the remainder when u is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**2 + 0*w**2 + w**2)*(150 - 499 - 878 - 625) + 1 - 1 + 2*w**2 to q + z*w + s*w**2 and give s.\nAnswer: -1850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + p - 16, -14 = -3*j - 0*j - 5*p. Is 1\/j*(22 - -920) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/(3 + 0) - -1. Let r = 28 - u. Suppose -31 = -q + 4*p, 3*q + q + 5*p = 187. What is the remainder when q is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -8.46.\nAnswer: -4.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjjjvj. Give prob of picking 3 j.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141038?\nAnswer: 2, 97, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ryriyirri. Give prob of picking 2 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.03 (b) 0.6 (c) 1 (d) -443\/4 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/202023 and 76\/165.\nAnswer: 11111265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 u when two letters picked without replacement from bnjnnujjjnybnkk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**6\/10 + s**3\/2 + 2*s. What is the second derivative of b(a) wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 (base 10) in base 15?\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -72*s + 67*s. Find the common denominator of -83\/132 and (s\/(-90))\/(3 + (-3810)\/1278).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 66820 and 3146965?\nAnswer: 1285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 9 = 3*l, -22 + 0 = 4*l - d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1252\/3*c - 195938\/3 - 2\/3*c**2 = 0 for c.\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 37*l**2 - 43*l + 75. Let r(s) = 20*s**2 - 22*s + 38. Suppose -4*t - 21 = 2*b - 55, 4*b = -t + 47. Let f(k) = b*r(k) - 6*d(k). Factor f(u).\nAnswer: -2*(u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68.78 - 68. Let s = x + -0.78. Let l = -2 - -1.6. What is the nearest to s in l, 1\/2, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2878 + 5211. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11460.4 - 11460. Put v, 1\/13, -5, 2, -3\/5 in decreasing order.\nAnswer: 2, v, 1\/13, -3\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3152 + 34676\/11. What is the nearest to -2\/5 in -0.5, a, 36?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 5*b + 68 = 0, 2*b = -2*c + 44. Calculate the greatest common divisor of c and 189.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 107.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 81 + 5*q**2 - 77 - 3*q**3 in the form r*q**3 + i*q**2 + w*q + x and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7267 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3780 divided by -15.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123272*j + 123287*j - 15 = 0. Is j <= -10\/2053?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(2 - 58\/30). Let t = 38 + h. Does 23 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-1\/49)\/c)\/c)\/c)**(-2\/89) assuming c is positive.\nAnswer: c**(296\/4361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -1124241?\nAnswer: 1124243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lx when two letters picked without replacement from llllqoqqlqxqlllql.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3 (b) 2\/23 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-14)\/21*(-55 + -2) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/407913 and 67\/33.\nAnswer: 407913","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 82 + -94. Let b = p + 80. Is b > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 69 and 2829.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -6*x + 34. Calculate the least common multiple of x and 183.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 551 = 35*c + 164 - 700 for c.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/68 + 3544\/68?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, d: 2}. What is prob of sequence drd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.212332 - 108.692532. Let f = 0.0198 - i. What is f rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -699 - -695. Suppose 5*a - 9 = a - h, 0 = -4*h + 4. Suppose -a = -x - 4. What is the closest to x in u, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13443033 to the nearest integer?\nAnswer: 3666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/60 and (-118)\/8*25\/200.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72435.96 millilitres in litres?\nAnswer: 72.43596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p**3 + 2*p**2 - 5*p - 5. Let b(w) = -4*w**3 + 3*w**2 - 6*w - 6. Let q(y) = -5*b(y) + 6*l(y). What are the prime factors of q(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 0 + 0*f - 1\/6*f**3 - f**2 - 13\/24*f**4. What is the tens digit of n(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 + 30*m + 2. Let s(z) = -12*z**2 - 119*z - 9. Determine -9*h(v) - 2*s(v).\nAnswer: -3*v**2 - 32*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1765, 1764, 1763, 1762, 1761?\n\"Answer: -i + 1766","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 + 7*r**2 - 12*r + 5. Is h(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 859551907 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 6) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 + 2205.94205.\nAnswer: 2228.94205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3*z - 71, -2*q + 0*q - 4*z = -162. Suppose 4*j - q = v, -j + 6*v - 2*v + 23 = 0. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*d - 3*q + 5*q, 2*q = -2*d. Let v(o) = o + 0 + d + 0. What is v(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 34918 + 13837 = 35*t. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -5*u + 5, -4*u + 2*k = 4*k - 18. Suppose -b + 2 = 3*z - z, -2*z + u*b + 8 = 0. Solve 0 = z*g + 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13065.06 minutes in seconds?\nAnswer: 783903.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 0 + 1\/20*x**6 + 1\/105*x**7 + 0*x - 1\/4*x**4 - 3*x**2 + 1\/30*x**5 - 2\/3*x**3. Let r(p) = 0. What is p?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933453949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 446919.\nAnswer: -7\/446919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, a: 1, w: 2, y: 4}. What is prob of sequence wya?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3338*m**2 + 18*m + 55. Let g(h) = -2227*h**2 + 12*h + 37. Let i(f) = 7*g(f) - 5*k(f). What is the second derivative of i(t) wrt t?\nAnswer: 2202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1576532.587 to the nearest one thousand.\nAnswer: 1577000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 26 - 41 = 4*r, -2*r - 13 = -3*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 222150 is divided by 55522?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2655 + 985 + 464 = 114*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-105)\/10)\/(-7)*4. Let w be 6*2\/4*(-8)\/d. Put -6, 1, w in descending order.\nAnswer: 1, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v - 153. Let o(l) = 10*l**2 + 28*l - 4. Let d be o(-3). Let w(j) = 2*j**2 - j**d + 580*j - 580*j. What is c(w(x))?\nAnswer: 2*x**2 - 153","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 3, 0.6, -0.05, 155731, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-7) + 715\/77. Let t = x - 3. Suppose -p + t*p = 0. Solve -4*u - 18 = c - p*u, 4*c = 2*u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (56*r - 96*r - 224*r)*(0 + r + 0) + 4*r**2 + 3*r**2 - 6*r**2 to s + w*r**2 + d*r and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*s - s + 42 = 0, 6*p + 4*s + 56 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 35, -11 in decreasing order.\nAnswer: 35, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1542140 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 509145 divided by 39?\nAnswer: 13055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 319006, 319005, 319004?\nAnswer: 319003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 12:12 PM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -379*q**3 + 765*q**3 - 395*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**2 - 475*f**3 - 4*f**2 + 472*f**3 - 89 + 922 in the form g + o*f + x*f**3 + a*f**2 and give g.\nAnswer: 833","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2999 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14700, -29399, -44170, -59013, -73928, -88915, -103974?\nAnswer: -119105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15770?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: d4b4b (base 15) to base 4\nAnswer: 2210211323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -30\/9050261 and -66\/53478815.\nAnswer: 588266965","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 308349990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1200221 (base 3) to base 11\nAnswer: a28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 4, -42 in ascending order.\nAnswer: -42, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -8*s**2 - 2721*s + 911349. Give h(-548).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 1631*q - 191. Let p(b) = -11*b**2. Give z(p(k)).\nAnswer: -17941*k**2 - 191","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 3*h**4\/8 + 5*h**3\/3 + 3*h**2. Let y(p) = -p**3 - 6*p**2 + 2. Let b be y(-6). List the prime factors of j(b).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -3*u - 9. Let q be v(-7). Let d = 6 - q. What is the units digit of (d\/4)\/(3\/(-16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1206 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/266 - 4752476\/(-316673).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 37, 100, 217, 406, 685, 1072, 1585?\nAnswer: 2242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-3\/4)\/(w\/(w\/((w**(-1\/2)*w)\/w)))*(w*w**(1\/7))\/(w**(2\/7)*w)*(w**7*w\/w**(-8))**(-4\/29) assuming w is positive.\nAnswer: w**(-2111\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1478 + 2744. Let h = 2063 - t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 56 - 48 = -4*t, t - 4 = 0. Solve -20 = -4*d - k for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 132 = 15. What is the greatest common factor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8c2 (base 13) to base 12\nAnswer: a5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Suppose -2*f = b*n - n - 13, -4*f - 23 = -n. Let j(p) = p**3 - 4*p**2 + p - 7. Let s be j(5). Solve -5*m = -4*o + 3*o - s, -m + n = o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02739 - 0.32739. Let u = 27.07 - 27. What is the smallest value in 2\/7, f, u, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - -72. Suppose -2*v - 4*w - 189 = -41, -5*v - 415 = -5*w. Let a = r - v. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -56 - -71. Let x = -11 + f. Which is smaller: 7 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - 1. Let r(y) = 44*y**2 - 42*y - 3. Suppose 270 - 240 = 5*l. Let b(m) = l*v(m) - 2*r(m). Find the second derivative of b(j) wrt j.\nAnswer: -188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1243 divide 10013341?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6347\/47955 - 4\/2085. Which is the biggest value? (a) 2 (b) p (c) 2\/45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 192511?\nAnswer: 192511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xpppapapapappxpxpp. Give prob of sequence xx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 8*n + 11. Suppose b + 4 = -4. Let r be m(b). Suppose -15*z + 18*z - 99 = 0. Calculate the highest common factor of z and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-20)*-1)\/(2\/(-10))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 488, 14, 86 in increasing order.\nAnswer: -5, 0, 14, 86, 488","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 + 6*x + 3. Suppose -4*k = 18 - 2. What are the prime factors of a(k)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 5*s + 6. Let h be v(-6). Suppose -11 = -3*a - 8*a. Calculate the remainder when -2 - (-8)\/(h + 2) is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10 - (-300)\/42) + 10)\/(12 - 5988\/504)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2526 and -12\/1641479?\nAnswer: 9848874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 1. Let x be 2\/(-8) - 69\/12. Let y = b + x. Sort 1, y, 5 in decreasing order.\nAnswer: 5, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 66*b - 7113. Give h(150).\nAnswer: 2787","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 + 35*c + 184. Does 15 divide a(14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**4\/8 + 11*t**2. Let i = -1 - -5. Suppose 0 = c + i*h - 19, 0*h + 25 = 5*h. What is k(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 76.\nAnswer: -9\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, o: 1, t: 2, w: 4, s: 3}. Give prob of picking 1 t, 1 h, and 1 w.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 287793 to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 4:14 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16*48\/(-1024))\/(6\/112)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*u**2 - 56*u**2 + 1333131*u**3 - 1333084*u**3.\nAnswer: 47*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 9:43 AM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 8, -5, 5, 3, -160 in ascending order.\nAnswer: -160, -5, -4, -2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 5*q - 10. Let w be j(-7). Let p = -19.6 - -18.6. Sort w, p, -5 in increasing order.\nAnswer: -5, p, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 3*y**2 + 10*y - 11. What is t(-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -0.2. Which is the second biggest value? (a) -3 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 477301688 at most 477301688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 54*n**2*s**3 + 10*n**2 + 111*n + 13*s**6 - s**2 + 4*s wrt s.\nAnswer: 324*n**2 + 1560*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + i + 19, 0 = 4*k - i + 49 - 23 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 36. Suppose r = -2*u - 3*u + 10. Solve 3*n + u*n + 20 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 263524 = -0*n. Let r(v) = v**2 - 4*v. Let h be r(4). Suppose h = -4*m + n + 42119. What is m rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 9. Let o = 5.7 - w. Let g = 1050 - 1053. Which is the second biggest value? (a) o (b) -2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 144.663 + 4.250138\nAnswer: 148.913138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b - 1. Let a(r) = 2*r + 14. Let o(c) = 1. Let j(i) = 2*a(i) - 36*o(i). Give j(w) - 8*v(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 plus -223413773?\nAnswer: -223413772.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12027853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*a**3 + a**4 - 40*a**3 + 113*a**3 - 10 - 37*a**3 to the form v*a**2 + f*a**3 + w + y*a + c*a**4 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8 = 4*q. Let n be (0 - (4 - q))\/1. Solve -g - t + 5 = 3*t, n*t - 4 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -z + 13, 391 = -85*z - 228662*p + 228665*p for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15, 0.13, 4247?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 15 = -3*z, -40*z + 3*b - 3 = -41*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z\/(z\/(z**(2\/23)\/z)))**(-3\/10))**(-18))**(-28))**(-4) assuming z is positive.\nAnswer: z**(-63504\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 - 65 - 7*c**3 + 121.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54019787369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10.002 + -9.9. What is n rounded to 2 decimal places?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a week in seconds?\nAnswer: 60480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35053?\nAnswer: 35053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**8))\/y)**(3\/23)*y\/y**18*y**(-35) assuming y is positive.\nAnswer: y**(-1223\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2186203023?\nAnswer: 3, 19, 223, 57331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + a = -9, -5*a - 16 + 31 = -5*t. Let d be -1 - (t - -10) - -19. Solve 12*p = d*p - 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/7 or 550747?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14a57 (base 14) to base 16.\nAnswer: -c8e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**5\/h*h*h**(2\/9))\/(h**5*h**(-1\/7))*((h*h\/((h*h**(-1))\/h)*h)\/h)**(-1\/3)*h*h\/h**(-4\/7)*h**(-3\/4) assuming h is positive.\nAnswer: h**(299\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 + 5*u - 3. Let z be s(5). Let g be ((-7)\/(z\/8))\/2. Let v = g - -4. Solve -5*i = -15 + v for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = f + 8, -84 = -2*g - 3*f. Suppose -91*j + 121*j = -3150. What is the common denominator of j\/g*(-19)\/5 and -79\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three tenths of a day?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c - 87*c + 2735580 = 0. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 58*h**3 + 32*h**2 + 15*h - 8. Let k(z) = 58*z**3 + 34*z**2 + 17*z - 10. Let r(q) = -6*k(q) + 7*s(q). What is the second derivative of r(m) wrt m?\nAnswer: 348*m + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 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: Expand (75 + 7*o - 75)*(-287 + 287 - 94*o).\nAnswer: -658*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -681157*a**2 + 390929*a wrt a.\nAnswer: -1362314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 l when four letters picked without replacement from pllpphhopqdhhlhpopll?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*f - 4*y - 63, 5*y + 32 = f. Suppose f + 10 = 9*b. Factor -1\/3 + 1\/3*z**2 - 4\/3*z**b + 4\/3*z.\nAnswer: -(z - 1)*(z + 1)*(4*z - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/4)\/(0 + 1). Let p be 3\/2 - 15\/9*q. What is the biggest value in -5, p, -1, -1\/2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1214 - 1213242?\nAnswer: -1214500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*n\/(n*(n*n*n\/n**4*n*n)\/n))**(1\/35))**5 assuming n is positive.\nAnswer: n**(-2\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-29)*b**27*b**(1\/10)*b*b**16 assuming b is positive.\nAnswer: b**(741\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2635, 2, -2 in increasing order.\nAnswer: -3, -2, 2, 2635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(2448)*2 + -4.\nAnswer: -24*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 1) + (36 + -72 - -42) + 61 + -1.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -152116 - 5?\nAnswer: -152124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 1. Let o be q(1). Differentiate o + 0 - l**4 - 2*l**4 with respect to l.\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*i**3 + 3*i**3 + i**3)*(-5*i - 3*i + 2*i) + (1 - 1 + i)*(-5*i**3 + 2*i**3 + 4*i**3) to d*i**2 + a*i + s*i**3 + h + u*i**4 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 24, 14\/31, 5 in ascending order.\nAnswer: 14\/31, 3\/2, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 44*v**2 - 26*v**2 - 6*v**2 + (-6*v**2 + 4*v**2 + 4*v**2)*(-3 + 3 + 1) + (2 + 4 - 3)*(2*v**2 + 0*v**2 - v**2) as c*v**2 + d*v + n and give c.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 divided by -10?\nAnswer: -78\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30\/23 - 1336\/989. Let a = m - -149\/430. What is the common denominator of -13\/10 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 419 = 5*n, -6*h + 413 = 5*n - 2*h. Suppose -o + 4*m = -11, -61*o + 57*o + 44 = -m. Calculate the remainder when n is divided by o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 424 is divided by (-6)\/6*-61*1.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1289542\/(-144840) - 231\/(-770). Let g = 24\/1207 + i. Calculate the common denominator of -89\/24 and g.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(1\/1)*4. Suppose -u = -3 - 8. Let p = q + u. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1315 + 0.1315. Let o = 3 + -1.5. Let z = 0.5 + o. Which is the closest to z? (a) n (b) 1\/3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -808 - -833. Let v be ((-2)\/c)\/((-55)\/1650). Suppose -3\/5*h**2 - v - 12\/5*h = 0. What is h?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let r(o) = -43*o - 44. Let p be r(-1). Let w be 2\/(-12)*22 - p\/(-3). Which is the nearest to l? (a) 3\/5 (b) w (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - 4*l. Let i = 19 + -16. Suppose i*k = 5*k + 46. Let w = k + 26. Give o(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (812 - 64*s - 65*s - 49*s + 181*s)*(s**2 + 2*s**2 + 0*s**2 + 2*s**3).\nAnswer: 6*s**4 + 1633*s**3 + 2436*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 19*w - 12*w + 3*w**2 + 27*w + 0*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, s: 3, b: 4, v: 6}. What is prob of picking 2 v and 1 s?\nAnswer: 45\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 8*v**2 - 7*v + 2. Let t be g(6). Suppose -4*f - 84 = t. Let n = 49 + f. Solve -4*k = -0*k + 4*w - n, -4*k - 5*w + 23 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/2 - 1779483*z + 3558969\/2.\nAnswer: -3*(z - 1)*(z + 1186323)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (767 - 767 + 33*s + 4*s)*(6*s**3 - 3*s**3 - s**3) as d*s + w*s**2 + o*s**4 + f*s**3 + a and give o.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 3:41 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 8 + 11)*(9*w + 4*w + 2*w)*(-2 - 4*w + 2).\nAnswer: -1680*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen eighths of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 39849*g**3*s**3 + 2*g**2*s**3 + 75*g**2*s - 2*g**2 - 18*s**3 wrt g.\nAnswer: 239094*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8466 divided by 17?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-68)\/56 + (-3)\/(-2). Let i = -274 - -276. Which is the nearest to u? (a) i (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*s - 602237, 0 = -2*s - 2*q - 128717 + 530195. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 653328?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000012058714 rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 481 and 16828303.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 + 118*o - 55*o + 3*o**3 - 64*o + 0 + 2*o**5 + 0 + (3*o**2 + 2*o**2 + 4*o**2)*(-30*o**3 - 230*o**2 + 230*o**2).\nAnswer: -266*o**5 + 3*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*y - 39 + 260 - 509 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1097 is divided by 474?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64598661 and 33?\nAnswer: 710585271","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 4\/14*(-57)\/(-6)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)\/(b\/b**(2\/5)))\/(((b*b\/(b\/(b*b\/b**(-8))))\/b)\/(b**(-1)*b*b)) assuming b is positive.\nAnswer: b**(-139\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8883 or 8889?\nAnswer: 8883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 minus 241?\nAnswer: -238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 11*r + 327. Let b be o(-30). Put -5, -0.06, -1\/4, b in increasing order.\nAnswer: -5, b, -1\/4, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -14 from -710.\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(3\/7))\/(n\/(n\/n**(-3\/11)*n)))**(9\/7) assuming n is positive.\nAnswer: n**(1872\/539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - -2. Let m = 1555.5 - 1555. Put 0.1, m, t, -2\/5 in decreasing order.\nAnswer: m, t, 0.1, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*sqrt(140) + sqrt(140) - (sqrt(35) - 1*sqrt(3500)))\/((sqrt(84)\/(sqrt(32) - sqrt(2)))\/((sqrt(96) + sqrt(6))*3)).\nAnswer: 1575*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/72 and -107\/246.\nAnswer: 2952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 6*s + 21 = s, 0 = 5*u - 2*s - 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o - 15. Let t(m) = 598 - 598 + 84*m**2 - 83*m**2. Calculate j(t(c)).\nAnswer: -3*c**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -8450 (base 11) in base 15?\nAnswer: -34ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15.0771*305.2\nAnswer: 4601.53092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -17620308 + 222?\nAnswer: -17620076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/5)\/(304\/(-988)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 12 = 4*n - 10*a, 2*n + 5*a = 3. Let z(g) be the second derivative of 1\/2*g**3 + n*g + 0*g**2 + 0. Let y(r) = 4*r. Determine z(y(t)).\nAnswer: 12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 8:27 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 2 = -4*v, 3*n + 3*v - 5 - 1 = 8 - 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 46. Let x(l) be the first derivative of l**4 + 0*l**j + 0*l + 1\/2*l**2 + 8. What is the second derivative of x(c) wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2\/5 - 4088*b\/5 - 108992\/5.\nAnswer: 4*(b - 1048)*(b + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*p - 35 + 20 + 0 wrt p?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and -40075.\nAnswer: 360675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15 or -78\/5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 115550 - 19?\nAnswer: 115531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14*(-4 + 534\/21). Let k be (-222)\/(-4)*30\/9. Let q = v - k. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/108)\/((-118580)\/(-19404))?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -302621 + 2206?\nAnswer: -300413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -464, -472, -502, -560?\nAnswer: -652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 1299a0?\nAnswer: -129997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, -0.0181, -2\/149?\nAnswer: -2\/149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(11)*-1*-6*6 + sqrt(55)\/sqrt(5) + -1 + sqrt(11) + sqrt(275)*-1 + sqrt(275))**2.\nAnswer: 304*sqrt(11) + 15900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 161*u**3 + u**2 - 1. Is d(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 - 3*a - 4. Let s be i(4). Let y(p) = -p**2 - 4*p. Let t be y(-3). Suppose s = -l - t*l + 176. Is l a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k**5 + 68*k**4 + 228*k**3 + 236*k**2 + 80*k = 0 for k.\nAnswer: -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4) - (-1)\/2. What is the remainder when 26\/(z*4\/(-10)) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 208 and 3289.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122 - 10293*n + 5177*n + 122 + 5146*n.\nAnswer: 30*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**4\/2 + 2*c**3\/3 - 6*c**2 + 283. Factor r(i).\nAnswer: 2*i*(i - 2)*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13790 divided by -5\nAnswer: 2758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -9782 (base 13) to base 8\nAnswer: -51106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 6. Let z(s) = 3*s + 9. Let j be z(-3). Which is the smallest value? (a) j (b) q (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158406.6t in milligrams?\nAnswer: 158406600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:26 PM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 15 = 3*g. Suppose m + 3*c = 6*m + g, -4*c = -2*m - 4. Differentiate 5*j**3 + m*j**3 - 9*j**3 - 4 wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 21 = 24. Let b(j) = -123*j**3 - 2*j - 121*j**f - 1 + 241*j**3. What is b(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 281819 and 164.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6)\/((-12)\/(-64366))*1\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 f when two letters picked without replacement from {p: 3, d: 3, f: 3, y: 1, c: 4, b: 2}.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s + 4. Let n be p(-6). List the prime factors of (20\/8)\/(n\/(-4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 539 = -925*z + 974*z for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/81 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 3*sqrt(170)\/sqrt(10).\nAnswer: 5 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -11*n**2. Let a(b) = 6*b**2 - 5*b - 5. Let s(t) = -t**2 + t + 1. Let z(d) = 2*a(d) + 10*s(d). Determine z(w(u)).\nAnswer: 242*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 5*c**2\/3 + 590*c = 0.\nAnswer: -354, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v - 1. Let n(u) = -u. Suppose 1 = -l + 3. Let k(q) = l*n(q) + w(q). Differentiate k(j) with respect to j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -8*u + 8. Let r be (-6)\/(-4)*(3 - 1). Let x(f) = -f**2 + 4*f - 5. Let j be x(r). What are the prime factors of w(j)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 22*z - 7. Let y be w(23). Let i be (26\/(-10))\/(y\/(-480)). Calculate the highest common factor of 1092 and i.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -28.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/3 of a decade in months?\nAnswer: 2080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of y**5\/120 - y**4\/24 + y**3\/2 + 4*y**2. Let z(h) be the first derivative of s(h). Calculate z(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 323 - -112. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -7*x - 26. Is a(-8) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/7 - 167186*x\/7 + 123451800\/7.\nAnswer: -2*(x - 732)*(x + 84325)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -2*q**3 + 7*q**2 - 1 + 3*q**3 + q - 2*q**2. Calculate the remainder when 41 is divided by x(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -3*u + 8. Let j be u*-3*(-3)\/18. Is j - (-1*58 - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3829 + 329 = -693*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + d**2 - 1. What are the prime factors of w(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and 18292816182119.\nAnswer: 18292816182118.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 79*x + 1978. Let a be v(-25). Let z(f) be the first derivative of f**2 + 5*f - 1. What are the prime factors of z(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) + 1 - ((sqrt(144)\/sqrt(9))\/sqrt(8))**2.\nAnswer: -1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + b**2 + b + 3. Determine q(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -66a6 + 86?\nAnswer: -6620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 2*a + 3. Let n be s(3). Let f(l) = l**2 + 10. What is the least common multiple of 12 and f(n)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8433*n**2 + 9 - 10 + 7*n**3 + 9*n**3.\nAnswer: 16*n**3 - 8433*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of -93*k**6\/2 + 71*k**5\/60 - 6*k**3 - 3013*k**2 + 2*k. What is the third derivative of b(u) wrt u?\nAnswer: -33480","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3652 - -15. Let x = 6730 - c. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104719223.\nAnswer: 7, 359, 5953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 400873 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 16 = -b, 0 = 2*b - 4*p - 3 + 27 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52046037 is divided by 8975.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (12190\/(-736) - -19) + -2 + (-1)\/8\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897349.\nAnswer: 897349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 293*c + 231*c - 416*c.\nAnswer: 108*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 163 + 3730270?\nAnswer: 3730453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 1009*u\/5.\nAnswer: -u*(u + 1009)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 401 a factor of 6276808?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 1 + 1 - 52*l - 1.\nAnswer: -49*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -2. Let c be y\/((-4)\/(-202))*-1. Round c to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 35*b - 308. Give h(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5269 is divided by 873.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -136*m + 12. Suppose 137*f = 140*f + 9. Let n(g) = 270*g - 21. Let l(t) = f*n(t) - 5*v(t). Let a(u) = -u. Calculate l(a(z)).\nAnswer: 130*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 206*x**3 + 2*x**2 - 10*x + 3. Is o(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 1. Let w(p) be the first derivative of p**2\/2 - 4*p + 3. Let t be w(4). Suppose -v = t, 3*l = 7*l + 3*v - 8. What is f(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/7, -1, 1, -0.03?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 11:47 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s + 15. Let p(k) = k. What is p(i(w))?\nAnswer: -5*w + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 76 + -12 + (-31 - 20)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2294*i + 4986. Give d(3).\nAnswer: -1896","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3840 + 1674 - 3578 + 938 - 2570)*(w + w + 0*w).\nAnswer: -14752*w","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1190 is divided by 1167?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-5)*-2*(320\/(-16))\/(-280).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**3 + 3*a**3 - 4*a**3)*(-11*a - 24*a - 10*a) - 61*a**4 - 61*a**4 + 43*a**4 in the form r + u*a**4 + o*a**3 + c*a**2 + k*a and give u.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -56 + 16. Calculate the greatest common divisor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -11. Let a = t - 6. Let b(w) = w**3 + 5*w**2 + 3*w + 1. Give b(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 2:36 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -124*o**4 - 3*o + 5*o + 13 + 126*o**4 in the form q*o**4 + k*o**2 + n + f*o**3 + d*o and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -856*i + 10655. List the prime factors of o(-51).\nAnswer: 54311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a - 9 + 8 - 3.\nAnswer: -2*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-220)\/(-25))\/11*10\/4. Let f(a) be the second derivative of -a + 0 + 4*a**r - 1\/6*a**3. Give f(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the second derivative of m**4\/4 - 282*m**3 - 1695*m**2\/2 - 578*m. Solve n(j) = 0 for j.\nAnswer: -1, 565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -5*u + 21. Let o(r) = 7*r**2 - 58*r + 69. Let a be o(7). Suppose a*s = u*s + 1011. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(132))\/sqrt(12) - (sqrt(11) + (4 + sqrt(11))*4).\nAnswer: -16 - 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/6*7)\/(7*1\/(-1694)). Solve 850 - m = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/75 and -44\/25.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-100)\/(-120)*44\/130. Which is smaller: t or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5626, 5628, 5630?\n\"Answer: 2*z + 5624","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 366083359 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01405 and -22312?\nAnswer: -313.4836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/4, -11, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2036846m to kilometers.\nAnswer: 0.0002036846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*o**3 + 2 + (2*o**3 + 0*o**3 - 3*o**3)*(2 + 0 - 4) + o**2 - o**2 - 5*o**3)*(-2841 - 688 + 1307).\nAnswer: 11110*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:20 PM?\nAnswer: 5:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 127 + -112. What is the lowest common multiple of z and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/7541 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 847 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000101 + 111?\nAnswer: -110111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of 40*u**8\/7 + u**7\/42 + 149*u**4\/6 - 102*u + 2. Find the third derivative of p(h) wrt h.\nAnswer: 38400*h**3 + 60*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 25352*r**2*v - 2322*r**2 - r*v + 3*v + 16 wrt v?\nAnswer: 25352*r**2 - r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 86.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*n + 19, 688*g - 3*n = 693*g + 20. Is g > 355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -1299*y**2 - 6489*y + 85. Give m(-5).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -252393 by -3.\nAnswer: 84131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*q + 857, -6 = 2*q - 16. Let o = 151 - j. Let m = o - -129. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*b = 181 + 1211 + 893 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y + 60. Suppose 0 = c - 4*c + y. Calculate the smallest common multiple of c and 3.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 238 and 21496188?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 15 = 3*g. Let a be 1\/7 + (-246)\/(-42). What is the third derivative of -4*k**2 - 66*k**3 + k**6 + 66*k**g + 2*k**a wrt k?\nAnswer: 360*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -53*x + 313. Let q be h(6). Which is the nearest to q? (a) 2\/5 (b) -0.3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 + -171. Let d = y - -214. Calculate the highest common factor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2001, 1993, 1983, 1971?\nAnswer: 1957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -9601390, -9601394, -9601402, -9601414, -9601430, -9601450?\n\"Answer: -2*a**2 + 2*a - 9601390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - n - 9 = 5*p, 5*n + 5*p - 5 = 0. Suppose -5 + 7 = 2*k. Let r be (k\/5)\/((-54)\/90). Which is the closest to n? (a) 0.2 (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 47040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1800 - -1762.05. Let y = 7.6 + 30.4. Let r = y + s. Are -3 and r unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.1634441 * -0.5\nAnswer: 1.58172205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dkmckm. Give prob of sequence kkmc.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -83*r + 53*r - 270 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 197 a factor of 97815228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.98344 to 2 dps.\nAnswer: 0.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - 7 - -9) + (3 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -20*(2\/(-5) - 0). Let c = 1 + v. Does 4 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -26*h + 18. Let c(m) = -4*m - 8 + 9*m + 2 + 4*m. Let v = 50 + -30. Let s(b) = v*c(b) + 6*f(b). Differentiate s(j) with respect to j.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t + 3. Determine q(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21228.83g?\nAnswer: 21228830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.9*-23.8.\nAnswer: 449.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1634 - 201?\nAnswer: -2135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -117604*d - 3763334. Determine n(-32).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + -1 - 8)*15\/(-15). Suppose 80 = 4*l + 5*q, 5*l - 129 = j*q - 4*q. Calculate the remainder when 92 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.007 + 3.32. Let c = z - 0.312328. Round c to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -24 (b) 3 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 5*r - 5*n - 51, 0 = 3*r - n - 78. Solve 2*m = -3*m - r for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-15))\/(392\/(-1008)*8\/(-210))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -3*w + 27, 3*u - 29*w + 15 = -27*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -334b (base 14) to base 7.\nAnswer: -34624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1658 and 485741773?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 6 = -2. Let u be (40\/12)\/(o\/15). Solve s + 13 = 5*g, -3*g = -5*s + 2*g - u for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 916785489?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -100220020 (base 4) in base 8?\nAnswer: -205010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 12:38 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1336?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13086889 is divided by 1220.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420040 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: What is the hundred thousands digit of 620263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58065?\nAnswer: 3, 5, 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16312 + -16446.94. Let v = n - -135. Let h be (10\/(-8))\/(-1) - 2. What is the closest to 0.1 in h, v, 0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 8 = i, -2*i - 2*q + 2 = -6. Let y be (1\/2)\/(-1)*14. Let h(o) = -2*o**3 - 16*o**2 - 13*o + 9. Let k be h(y). Solve i = -7*c + k*c - 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 522336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 s when four letters picked without replacement from sssuus.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 5)*(134 + 3750*p + 135 + 6526*p + 2366*p - 266) as o + g*p and give g.\nAnswer: 12642","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9753*r - 10436*r + 20736*r)*(1 + r + 0*r + 2) + 2*r**2 + 2*r**2 - 5*r**2.\nAnswer: 546*r**2 + 1641*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54766 (base 9) to base 6.\nAnswer: 440140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -0.2, 16610864?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -49*h**3 - 2*h**2 + 1. Let q(t) = 1314*t + 7885. Let g be q(-6). Calculate s(g).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -96, -60, -62, -102?\nAnswer: -180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 44*b = -14 - 118 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(242) + 1*sqrt(242) + -1 + 5).\nAnswer: -66*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = k + 2*k. Let d = 31 + -31. Suppose d*m = -4*m - 12, -m + 3 = -2*i. Sort i, k, 5 in descending order.\nAnswer: 5, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10041397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 176 and -152417 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*g + 189846 = 192270 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.602018 tonnes in milligrams?\nAnswer: 3602018000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2*c)*(-3 + 1 + 5 - 3 + 2 + 0 + (4 - 2 - 5)*(47 - 56 - 115)) to the form q + t*c and give t.\nAnswer: 748","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 72631 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 j(v) = 564*v + 6769. Let u be j(-12). Which is the third biggest value? (a) -2 (b) -4 (c) 2 (d) -0.086 (e) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 271.0228 tonnes?\nAnswer: 271022800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.3879 - -0.3879. Let p be 6*(3\/(-3))\/1. Which is the nearest to y? (a) 1\/3 (b) p (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -10*l - 5. Let k(p) = -11*p - 6. Calculate -4*a(w) + 3*k(w).\nAnswer: 7*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.45 - -0.05. Let j = a - 0.5. What is the nearest to 0 in 0, j, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001379473496 to 7 dps.\nAnswer: 0.0013795","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -11*u + 252. What is the remainder when x(12) is divided by 38?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 10*y**2 + 10*y + 3. Let v be (-3)\/(-7) - 132\/14. Let b be s(v). Let c be b\/(-99) + (1 - 1). Is -1 not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 461 + 467. Suppose -9 = 5*x - 3*m, 4*x - 3 = -3*m + u. Solve x = 5*y - 2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*p - 190 = 6*p. List the prime factors of p.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -3, 145, 4, -1 in decreasing order.\nAnswer: 145, 4, 0, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 945796 and 472898?\nAnswer: 945796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 96\/11 - 570\/11*q**3 + 1128\/11*q + 1992\/11*q**2 = 0.\nAnswer: -2\/5, -2\/19, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:12 PM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 20897887 and 459551?\nAnswer: 7789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 31*c**2 + 59*c - 1. Let t be v(-2). Let b = -22 + 5. Let j = b + 19. Put t, j, 1 in decreasing order.\nAnswer: j, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23200263 a multiple of 125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2460 - -2475. Let h be (-5674)\/18 + (-6)\/(-27). Let i = -150 - h. Calculate the highest common factor of i and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1153395761 to the power of 1\/4, to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yxg when three letters picked without replacement from {w: 1, b: 1, g: 2, x: 2, n: 1, y: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -62, -28, -3 in decreasing order.\nAnswer: -3, -28, -29, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178399?\nAnswer: 13, 13723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49068 is divided by 876?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 2)*(14 + -19). Suppose -5*q = -3*c + 80, -2*c + t*q + 35 = -10. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) 0.12 (c) -0.09 (d) 167 (e) 0.8 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -59 + 56. Let w(j) = -4*j**3 + 4*j**2 + j + 4. Is w(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f - 3. Suppose 6*k = -0*k + 30. Put f, 13, k in descending order.\nAnswer: 13, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l + 35. What is x(-21)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*((-13)\/468*9)\/(26\/(-4))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1604*b - 4794*b - 26*b**3 + 1605*b + 1585*b.\nAnswer: -26*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -304\/83765 or -1?\nAnswer: -304\/83765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 - 88*y + 354. Give j(39).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, z: 4, o: 1, l: 2}. Give prob of sequence elzo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 + 17 - (13 - (0 + 5) - 5).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, n: 14}. Give prob of sequence bbb.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 151208 by -643.\nAnswer: -151208\/643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/7*(-161)\/3*(-36522)\/46667.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 1578 = 5*n. Is n a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 + 2*d**2 + 7*d**2.\nAnswer: 10*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, x: 1, w: 2, j: 2, n: 1}. What is prob of sequence xi?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-9\/4))**(-2\/29) assuming h is positive.\nAnswer: h**(9\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 10*m + 179. Calculate the remainder when u(0) is divided by 63.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 96*u + 411. Calculate z(17).\nAnswer: 2043","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2372, -3180, -5382, -9674, -16752?\nAnswer: -27312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 8*z + 32. Let p be k(-4). Solve p = 3*r + 7*r + 30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3990.439l to millilitres.\nAnswer: 3990439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.016 + -0.025. Let y = -0.042 - n. Round y to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2 + 59*k - 220 = 0. What is k?\nAnswer: 4, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (6\/21 - 4010592\/(-56))*33\/66.\nAnswer: 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*u - 16 = 225*u + 4*v, 3*u - 29 = 5*v. Calculate the greatest common factor of u and 843.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 4*c. Let d(j) = -j. Let o(x) = 24*d(x) + 4*w(x). Let s be o(-2). Solve -3*b = -7*b + s for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 553 and 79.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + 2*s)*(3*s**4 - 5*s**4 + 3*s**4)*(3 - 1 + 16).\nAnswer: -18*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3 + 4)\/((-1)\/(-7)). Let q(l) = -b*l + 6 + 4*l + 4*l. What is q(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12426 + 12449. Solve -27*o - s*o = 8*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53130 and 106260?\nAnswer: 106260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t + 0*t + 3*t + (1 - 2 + 3)*(-t + 2*t - 2*t) + 29*t + 73*t + 66*t.\nAnswer: 165*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 + 2)*1*9. Find the first derivative of 12 - o*s - 15*s**2 - 6 + 9*s wrt s.\nAnswer: -30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + (8 - (-5 + (-5 - -15))) + -9?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -26. Let p(j) = j**2 - 8. Let m be p(-6). What is the tens digit of 1*1*m - c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 != 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20204, 22908, 25612?\n\"Answer: 2704*i + 17500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of r**5\/12 - r**4\/24 - 4*r**2. What is the lowest common multiple of 16 and o(2)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*o**3 - 33*o + 928?\nAnswer: 36*o**2 - 33","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n. Let g be i(-10). Suppose 2*d - d - 1 = 0, -g = -5*x - 5*d. Calculate the highest common divisor of 11 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32837\/46 or -713?\nAnswer: -713","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -6*13\/(-65) - 1788\/(-10) and 80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -283*o**3 + 2*o**2 - 77663*o - 145297296 wrt o.\nAnswer: -849*o**2 + 4*o - 77663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 247403215 a multiple of 89?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 2 + -1 + -7\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 b when four letters picked without replacement from {e: 2, b: 3, d: 4, g: 6}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 37516 = 4*q, -38*w + 43*w - 46883 = -q. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -9.8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 245931571 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4507 and 1280.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 2\/3, 8726225, -1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -5*(-1 + 3\/(-15)). Let u be (4\/p)\/(6\/(-45)). Let r be 3 + (u - (-12)\/4). What is the highest common divisor of 4 and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 7*t + 1. Suppose 0 = 3*w + 2*w + j - 119, -w = -2*j - 15. Calculate the remainder when p(6) is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 6*t - 3. Let f be r(7). Let z = f - 4. Suppose -2*i + 3*i - 6 = z. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6000611803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16051150.\nAnswer: 2, 5, 89, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*j + 5 + 31, 30 = 4*n - 5*j. Suppose -5*f = -n - 5. Solve -s = 3*x - 14, f*s = 4*x - 23 - 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c7527 - 1?\nAnswer: -2c7528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c1 + 1d6a25?\nAnswer: 1d6964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 35 and 595?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, b: 4, u: 7}. What is prob of sequence upub?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.304929 meters to centimeters.\nAnswer: 30.4929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 42*r**3 + 2*r**2 - r - 1. List the prime factors of z(1).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2220 - -1?\nAnswer: -2213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 29971\/(-8118) - (-1)\/18. Which is smaller: 14 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 divided by 2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -16. Let a = x - -18. Suppose 7 = 5*p - 3, 5*p = -a*v + 758. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1344 - 0.3656. Sort -1\/140, 0, j, 5 in decreasing order.\nAnswer: 5, 0, -1\/140, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -5, 0.13, -4, 41, -13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.01738 and -17.24.\nAnswer: -17.22262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -63 (b) 2 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 46. Suppose 4*n + 2*s - 3*s - 89 = 0, 49 = 2*n - 5*s. Calculate the remainder when h is divided by n.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(2 + -11 + 3). Let v(r) be the first derivative of -r**4\/4 - 5*r**3\/3 + 2*r**2 - 8*r - 1. Let b be v(k). Solve b = -0*w + w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q + 5. What is the units digit of v(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 5*p + 48. Let n be p\/24 - (-2)\/(-6). Put n, -2\/19, -3 in descending order.\nAnswer: -2\/19, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 7*r - 20, r - 7 = a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.153 and -0.4411?\nAnswer: 0.0674883","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/18*(-135)\/(-15). Let x = 0.16 - 7.16. Let m = x + 3. Sort m, v, 4\/5 in increasing order.\nAnswer: m, 4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1119 * 44.\nAnswer: 49236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -27\/2, -0.5, -3.55, 0.1, -0.1 in decreasing order.\nAnswer: 0.1, -0.1, -0.5, -3.55, -27\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -258.1 - -258. What is the closest to 0 in p, 4\/9, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*q**3 - 11*q**3 + 13*q + 7*q - 5*q wrt q?\nAnswer: -126*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217076297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and -7150263628.\nAnswer: -7150263628.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**5 - 4036*c**4 - 1020076*c**3 - 995916*c**2 + 5068224*c - 3048192 = 0. Calculate c.\nAnswer: -504, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 26 = 0, 0*l - l - 3*r - 68 = -8*r for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 553389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 6) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(96)*-3)*-6.\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13507*q**5 + 682*q**3*z - 1051*q*z - 57*q + 2*z - 261 wrt q?\nAnswer: 270140*q**3 + 4092*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**3 - 2*t**2 - 956 + 953 + 0*t**2 + (3 - 3 - t**2)*(-2*t + 0 + 0).\nAnswer: t**3 - 2*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 449.7231mm?\nAnswer: 0.4497231","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b3bbb (base 15) to base 9.\nAnswer: -2445065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -199 (b) -3 (c) -0.3 (d) -0.2 (e) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12033.005819 - -12033. Round l to 4 dps.\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14560)\/3120)\/((-56)\/456)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.95935195 rounded to four dps?\nAnswer: 1.9594","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 58, 173, 356, 601, 902?\n\"Answer: -z**3 + 40*z**2 + 2*z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -91. Let i = 130 + t. Let o = i - 51. Which is the fourth smallest value? (a) o (b) -4 (c) -2\/7 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + p - 10 + 2, -3*u - 2*p = -12. Solve v + 2*b + 3 = 0, u*v = -0*v - 5*b for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1289.9 (b) -4\/7 (c) 0.4 (d) -6.6 (e) -3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - 10*v**2 + v + 11. Let i be d(-10). Let y = 4 - i. Let r = -2 + 3. What is the greatest common factor of r and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54 and 48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -9a87 (base 12) to base 4\nAnswer: -10023013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 3*p**2 - 10*p + 2. Let r be t(5). What is the third smallest value in 0.1, -0.7, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.927 and 0.1.\nAnswer: -0.1927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -330 - 217. Let k = d - -542. Which is the second biggest value? (a) k (b) 0.08 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + x + 22. Let j be -1 + 2*2\/4. What is the lowest common multiple of i(j) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*n - 3*n - 4*n - 4*n - 91*n**2.\nAnswer: -91*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - 1)*(-123245 - 512) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18511120 is divided by 2644424?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2553134 is divided by 195?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (768\/(-24) - -85).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 6*y - y - 25 = 0, 3*y = 3*f - 9. Suppose -f*g + 40 = -0*g. Calculate the highest common divisor of 90 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1453063 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -196325 equal to -196325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 74, 50, -20, -160, -394, -746, -1240, -1900?\n\"Answer: -4*i**3 + i**2 + i + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -8*718\/(-4)*(-3)\/(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3382 or -3383?\nAnswer: -3383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zi when two letters picked without replacement from {s: 7, z: 3, i: 2}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*x, 0 = 2*g + 36*x - 37*x - 4 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 16\/36 + (-2390)\/(-90).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -6 - (40\/(-24) + 44578\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-21)\/(-6))\/(2\/(-4)). Is s\/(28\/(-88)) + 2 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/15)\/(24\/9 + -2). Find p such that 0 + 1\/5*p + 0*p**3 + d*p**4 - 1\/5*p**5 - 2\/5*p**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r + 4 + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 6*m**2 + 11*m. Let r(w) be the third derivative of w**5\/60 - w**4\/24 + 5*w**2. Let v(c) = -4*n(c) - 36*r(c). Find k such that v(k) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/2 != 29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 - 12 = -4*r, 3*o - 5 = 2*r. Suppose -3*y + 5*l = -145, 3*l - 43 = -y + r*l. List the prime factors of y.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145408?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18818\/3*d**3 - 54902\/3*d**2 - 4624\/3*d - 32.\nAnswer: 2*(d - 3)*(97*d + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 13*q**2 - 482*q + 43. Let r be n(37). Solve -4*z = 5*d + 7, 11*z + 3*d + 12 = r*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 36*t**2 + 42*t + 99. List the prime factors of y(-25).\nAnswer: 3, 11, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 351 = 74*a + 409 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.1 and 43 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, 5, 2, -5, -6 in increasing order.\nAnswer: -60, -6, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x**2 - 2*x**2 - 7*x**5 + 4*x**2 + 2*x**2 wrt x.\nAnswer: -420*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134865.\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gik when three letters picked without replacement from gcijkk?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 47561460 and 260?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n - 801 = -20*n. What is the third derivative of 74*t**6 + 120*t**2 - n*t**2 + 140*t**2 + 2*t**4 wrt t?\nAnswer: 8880*t**3 + 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/216 and -91\/4?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2150*x - 2402*x - 2536 - 11740 = -983*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 3) + 6 + 0 + -36 + 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (16 + (6 - (0 + 12))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 5232\nAnswer: 10464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -16 and -227.\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 14, b: 1}. Give prob of sequence vbv.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 923*h**2 + 23077*h + 50. Determine g(-25).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - (1*sqrt(11)*3 + sqrt(11)))**2 - sqrt(88)\/sqrt(2).\nAnswer: -2*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of y**4\/4 - 7*y**3\/3 + y**2\/2 + 10*y + 126. Determine v(7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 4. Let h be p(2). Suppose h*s - 21 = -5. Is (-3446)\/(-24)*3 - (-2)\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -7*y - 2*y + 6*y. Give g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -133 + 135.01. Let y = x + -0.01. Let o = 2 + -4. Is o not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6806 divided by 1339.\nAnswer: 6806\/1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.13*24.1302\nAnswer: -3.136926","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 3. Let j(r) be the third derivative of r**4\/24 + 5*r**3\/6 + 25*r**2. What is 4*j(i) + 7*s(i)?\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*87.79225.\nAnswer: 351.169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/5, 9, -0.3, 3.454?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - i - 4*s - 14 = 0, -3*i - 3*s + 12 = 0. Let b be (-2 + 2)\/3 + 0. Let m be 13 + 1 + b\/(-3). Solve 4*j + i + m = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3642 - -3642.04968. Round f to three dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33077348 or 33077352?\nAnswer: 33077348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w**2 + w + 21. Let x = -2617 - -2617. What is q(x)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e4cc8 (base 16) to base 10.\nAnswer: 1985736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 times 19\nAnswer: 399","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 365*i**2 + 4*i - 3. Let w(k) = -k**2 + 2*k - 1. Give -j(m) + 2*w(m).\nAnswer: -367*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -531 - -577. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1743 + -1328. Which is the nearest to -1? (a) 4 (b) s (c) 2\/11 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24645 + -251?\nAnswer: -25226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14040 and -4.\nAnswer: 56160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from {c: 2, u: 1, v: 1, g: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 z, and 1 p when three letters picked without replacement from mczpdfm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*((sqrt(1053) + sqrt(1053)*-2)**2 - sqrt(1053)) + 3)*-2*1.\nAnswer: -216*sqrt(13) + 25296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + 50*t + 261. Let f be g(-5). Let y = -0.13 - -0.03. What is the nearest to -2\/7 in y, f, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w + 3*t - 117 - 29 = 21 + 25, w - 13 = -2*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*w + 7*w - 2*w + 9 - 3*w wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -231345 + -442?\nAnswer: -232231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 449 times -3\nAnswer: -1347","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1058*c**3 + 2*c**2 + 248*c - 494. Is h(2) a multiple of 87?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4541 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 1. Let j = 14 + -8. Suppose w = 3*n - 0*w - 16, -2*n + 4*w = j. Suppose 6 = -n*q + 41. Determine h(q).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21126055693 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137408*i**5 + 284096*i**2.\nAnswer: 8244480*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(1\/2)\/(((g\/g**(2\/17))\/g)\/g)*(g*g**5)**(-33))**(9\/5))**(-1\/50) assuming g is positive.\nAnswer: g**(60093\/8500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*m + 7*b, -69*b = -4*m - 66*b + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -616.4 + 616. Let z be 16\/10 + 2 + -3. What is the closest to -7 in z, y, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -233 + 40?\nAnswer: -1c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffpj when four letters picked without replacement from jjpfffjpjjpfppffff.\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -2*m. Let u(v) = 59091*v + 136*v**2 + 105*v**2 + 180*v**2 - 59090*v. What is l(u(f))?\nAnswer: -842*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l = -5*s + 15, -7*s - 2*l - 3*l - 82 + 27 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 108736202?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3039894 divided by -9\nAnswer: -337766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4187 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -38\/1943183 and 145\/48378.\nAnswer: 11659098","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: (13 + 3 - 7 - 13) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 487 + 0.26\nAnswer: 487.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171974 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from xxyxxaxaaaaaxa.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*i + 2*u, -7 = -2*i + 2*u + 1. Which is smaller: 3.8 or i?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 149689 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - 2*y**5 + 0*y**5 + 0*y**5 + 2*y**5 + (y**5 - 2*y + 2*y)*(1 + 2 - 1) + (-4 + 6*y - y - 6*y)*(3*y**4 - 4*y**4 + 4*y**4).\nAnswer: -y**5 - 12*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -32566524 rounded to the nearest one million?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45420678 by -7.\nAnswer: 45420678\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -3*i + 9, 3*i + 5*f = -2*i - 35. Is (i + 1)\/(1\/(-21)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20020 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 7*y + 11, 5*d = 3*d + 34*y + 70 for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 7:45 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 33*c**3*k**2 - 2*c**3*k - 25*c**3 + c*k**2 - 8*c + 2*k with respect to k.\nAnswer: 66*c**3*k - 2*c**3 + 2*c*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 + 3*o**2 - 7*o - 8. Let x be l(-3). Let g(h) = -h**3 - 15*h**2 - 19*h + 12. What is the lowest common multiple of g(x) and 4?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + d + 0*d)*(-3*d + d + d + (2*d + d - d)*(1 + 3 - 2) + 3 - 3 + 2*d + d + 0 + 0 + 0*d - d + 0*d + (-2*d + 2*d + 2*d)*(-5 + 5 - 1)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2*a - 5 + 24*a**2 + 12.\nAnswer: 24*a**2 - 2*a + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4375\/4 + 1093. Put -2\/3, x, -3 in decreasing order.\nAnswer: -2\/3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400\/(-24)*-7*96\/448?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*y + 2*y - 4*y + y to v + c*y and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -631, -2120, -5015, -9784, -16895, -26816, -40015?\nAnswer: -56960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2090?\nAnswer: 2, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-5 - 240\/(-36)) + (-1807)\/(-3) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -25*y - 11. Let u(m) = 6*m. Let v(c) = g(c) + 4*u(c). Determine v(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00297926 to five dps.\nAnswer: 0.00298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-15)\/((-1800)\/16)*(-72)\/(-36)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -171, -14, 289, 738, 1333, 2074, 2961?\nAnswer: 3994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8080051.\nAnswer: 7, 23557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 9*f + 25086 = 2*f, f + 2 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*n**2 - 175*n + 110.\nAnswer: 5*(n - 11)*(3*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 94913, 94912, 94911?\nAnswer: 94910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f1f + -46?\nAnswer: 1ed9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.1, -4\/7, 2\/3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 226 or 55?\nAnswer: 226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7087.74665 + 7088. Round n to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4854894 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 17. Let u = k + 8. Which is the smallest value? (a) 3 (b) u (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 1 + 1)*(-2 - 3 - 2)*(-1 - 2 + 2) + m + 6 - 6.\nAnswer: 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14321036 to the nearest integer?\nAnswer: 3784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 f when three letters picked without replacement from ffuhuhwuhufwwfhufwfh?\nAnswer: 5\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 41 (b) -0.3 (c) 10\/11 (d) -105 (e) 0.056\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/47)*x)\/(x\/((x*x*x**24*x)\/x)) assuming x is positive.\nAnswer: x**(1220\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75404222 (base 8) to base 4.\nAnswer: 331200202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-13)\/((-91)\/651)*(-2)\/(-6). Suppose 0 = b*d - 3431411 + 982411. Round d to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6411, -25193, -56497, -100323, -156671, -225541?\n\"Answer: -6261*i**2 + i - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 310, 390, 470, 550, 630?\n\"Answer: 80*l + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 29581\/2, -0.3, 490.3 in ascending order.\nAnswer: -0.3, 490.3, 29581\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/9 + 85\/(-15). Put f, -2, -4 in increasing order.\nAnswer: f, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*1*sqrt(6655) - sqrt(6655)) + sqrt(6655))\/(sqrt(10)\/(sqrt(2) + sqrt(64)\/sqrt(8))))**2.\nAnswer: 191664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ddk when three letters picked without replacement from {v: 2, d: 2, k: 5, p: 1, s: 5, f: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 129?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {r: 2, j: 2, x: 5}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9444*p**2 - 2*p - 4. Suppose -3*d + 5 + 10 = 0. Suppose -5*b + d = -25. Let x be v(b). What is x rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 4*g**2 - 3*g + 1. Let p be j(-1). Suppose t - 1 = -0. Let x = t - p. Solve -x*y = -5*y + 15 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -27*u**3 - 2*u**2 - 126. Let q(v) = v**3 - v**2 - 1. Let m(o) = c(o) - 4*q(o). What is the first derivative of m(y) wrt y?\nAnswer: -93*y**2 + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139120.38 rounded to the nearest one thousand?\nAnswer: 139000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 131 = -3*q + 120, -2*q = 3*d - 33. Let w(j) = j**3 + j**2 - j + 7. Calculate the lowest common multiple of d and w(0).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126809932 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212133133 (base 4) to base 6.\nAnswer: -3213531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2, 3\/2, 10?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, -0.03, 1.122?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/4 in 0.44, -0.1, 18\/17, -18, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -2100101?\nAnswer: -2100103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2971 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4 + 2366*h**4 + 70 - 23*h**2 - 5*h**2 - 6136*h**4 wrt h.\nAnswer: -90480*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4041, 5, 231 in ascending order.\nAnswer: -4041, 2, 5, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -3*q**2 + 0 + 0*q + 1\/3*q**3 + 1\/12*q**4 + 1\/20*q**5. Is i(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/7 + 3950*m\/7 = 0.\nAnswer: 0, 1975","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.84318 to two decimal places.\nAnswer: 17.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 22 - 18. Suppose b*t - 60 = 2*q - 6*q, 3*q = 9. Suppose 3*i - 4*i - 11 = -u, -3*u + 39 = 3*i. What is the highest common factor of u and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 23. Let c(r) = 4*r**3 - 2*r + 1. Let w be c(1). Suppose -w*s + 10 = 5*b, 3*b + 3*s - 2*s = l. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-6)\/5)\/((-6)\/80). Let g be m\/1*1\/2. Let k = 11 - g. Solve -4*d + 3 = v, -3*v + 4*v - k = d for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000115 to four dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 594 - 606. Let p = i + 2104\/7. What is the common denominator of p and -6\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20, 17, 21 in increasing order.\nAnswer: 17, 20, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 133 + -54. Let d = w + -72.1. Round d to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29599763 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65426 = 4*t - r - r, -5*r - 16340 = t. Let u = 2306114\/141 + t. Find the common denominator of 4\/3 and u.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6116719 and 80801.\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 105 and 280.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66 - ((-21)\/(-14))\/((-6 - 12\/(-8)) + 4).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/100 and 29\/6950.\nAnswer: 13900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -b**6\/120 - 7*b**5\/60 - b**4\/8 + b**3 - 87*b**2. Give x(-7).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19688*h - 1062265 = -2245643 - 1159494 for h.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-6) + 10\/(-4). Does 5 divide 2 + 5 + 0 + n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 19*t - 26. Which is the biggest value? (a) -158 (b) 1 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 8*v**3 + 26*v**2 + 2*v - 9. Let p be l(-3). Which is the third smallest value? (a) -3 (b) p (c) 5 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4503217391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 617 - 1732*y - 617 to m*y + b and give m.\nAnswer: -1732","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78149 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2. Let m(w) = 3*w + 1216. Let j(b) = 27*b + 10935. Let i(d) = 2*j(d) - 19*m(d). Determine i(a(k)).\nAnswer: -3*k**2 - 1234","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l + 7. Let r(z) be the second derivative of z**5\/24 + z**4\/4 + z**3\/3 + 3*z. Let y(f) be the second derivative of r(f). Calculate 4*m(p) - 5*y(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -m**7\/120 - m**4\/8 + 3*m**3\/2 - 3*m. Let r(x) be the second derivative of q(x). Differentiate r(u) wrt u.\nAnswer: -21*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p + 46. Let f be j(-4). Solve 6*u = f - 2 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3660704, -14642813, -32946328, -58571249, -91517576, -131785309, -179374448?\nAnswer: -234284993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1446 is divided by 701?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + 0 + -1 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k**2 - 3*k. Let d = 3 - 5. Let t(n) = -20*n**2 + 10*n. Let h(s) = -8*s**2 + 4*s. Let b(f) = 12*h(f) - 5*t(f). What is d*y(i) + 3*b(i)?\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -372 - -517?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*7\/(-32))\/(9261\/(-2646))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.3 - 47.7. Let h = 72.1713 - 123.164. Let x = h - j. Round x to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + h**4 + h**2)*(-4 - 9 + 0) + (-h**3 - 6*h**3 + 3*h**3)*(2 - h - 2).\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 12 = 4*n, -5*c = -4*n + 6 - 0. Let m be 4*1\/(-2 - n). Let b be 12\/m*(-4)\/6. Solve 4 = b*q + 2*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 16*s = 36. Solve 5*q = -s*m + 29, -10 - 13 = -5*q - m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (3 - -7) - (-17)\/((-357)\/90).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3914727485 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/((-54)\/4098))\/((2\/3600)\/(-1)). What is h rounded to the nearest ten thousand?\nAnswer: 410000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 318 - 316.53. Let h = d + -1.426. What is h rounded to one decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 322, 319, 298, 247, 154, 7, -206, -497?\n\"Answer: -2*l**3 + 3*l**2 + 2*l + 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 207\/11? (a) 2\/3 (b) 0 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 3\/4 (c) 1 (d) 12 (e) 5\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -4. Suppose -2*a = -3*b - 9, -2*a - 2*b - 2 = 4. Suppose -v*i + a*i = -15. Solve -i*f = -13 - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1550056, -1550070, -1550088, -1550110?\nAnswer: -1550136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37312159 + 89733641 = -0*f - 21*f. What is f rounded to the nearest 1000000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4822.374 years in decades?\nAnswer: 482.2374","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 = -1. Let t(j) = j. Let a(n) = -3*n - 7. Let u be 1166\/(-286) - (-16)\/416*2. Calculate h*a(o) + u*t(o).\nAnswer: -o + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1701a74 (base 12) in base 16?\nAnswer: -4830b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from flkbm. Give prob of picking 2 b and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 8*v = -13*v + 14764. What is the thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2 + 14*o + 5. Suppose -8*t + 0*t - 32 = 0. Let v be k(t). Let s be ((-1)\/2)\/((-7 - v) + 6). Which is the closest to s? (a) -3\/2 (b) 8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 less than -1461?\nAnswer: -1460.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1456546561 + -5?\nAnswer: 1456546553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 77*j**2 - 182*j**2 - 244 + 106*j**2 - 149 in the form w*j + x + p*j**2 and give x.\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**3\/3 + 3. Let x be l(1). Let n be (x\/2)\/(1\/4). Solve -t + n*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1554.99998925 + -1555. What is b rounded to seven dps?\nAnswer: -0.0000108","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504 = 4*q - 480 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -238 + -0.5.\nAnswer: -238.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 + -4. Let m(y) = y**3 + 4*y**2 - 5*y + 6. Let d be m(-5). What are the prime factors of ((-35)\/q)\/((-1)\/d)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1802\/3317 + -18\/31. Let g = 170\/1177 - w. Let v be (3\/(-9))\/((-22)\/(-12)). Sort g, v, -2.\nAnswer: -2, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**4\/5 - 104*o**3\/15 - 448*o**2\/5 - 512*o - 1687. Determine y, given that d(y) = 0.\nAnswer: -10, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(216)\/sqrt(6))\/(sqrt(12)*3*-6).\nAnswer: -2*sqrt(3)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 788830007.\nAnswer: 7, 112690001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -37*n + 41. Is h(-7) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1503196 - 3945889229\/2625. Let f be (-127)\/(-250) + (-2)\/4. Let i = f - x. Which is the biggest value? (a) i (b) 2\/5 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in eleven halves of a centimeter?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 39.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 3, z: 4}. What is prob of sequence zzzh?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -2*q**2\/5 - 27516*q\/5 - 1127360 = 0.\nAnswer: -13550, -208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -97 - 158d35?\nAnswer: -158dcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q - 53. Let p(d) = -d. Give b(p(i)).\nAnswer: -3*i - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**4 - 40*d**3 - 135*d**2 + 370*d - 200 = 0.\nAnswer: -4, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13.9*-168\nAnswer: -2335.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.7 + 6.3. Let d = s + -13. Let y = 0.2 - 0.5. Which is the biggest value? (a) d (b) 2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 314815578 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4937, -2, 0.3, 0.4, -1?\nAnswer: -4937","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -205, 5, 0, -2 in increasing order.\nAnswer: -205, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 3*n**2 - 5 - 4*n**2 + 0*n**2 + 1 + 8*n. Give l(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -120 - -168. Let u = c - 47. Calculate the least common multiple of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333316245*t**3 - 8*t**2 + 28723093*t?\nAnswer: 1999897470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -35*f**2 + 35*f**2 - 18 + f - 15*f**3 wrt f.\nAnswer: -45*f**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -910 - -911. Let q be (-107)\/6 - 3\/18. List the prime factors of 6\/q*-5*(65 + m).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v**2 - 11*v + 6. Let x(o) = 9*o + 7*o**2 + 3*o - 7 - 3*o**2. Let s(w) = -5*q(w) - 4*x(w). Let s(u) = 0. Calculate u.\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/90)\/(18\/(-45)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 + -20. Let i be (-21 + o)\/(4\/(-30)). Find the common denominator of -73\/3 and (-14 + i)\/((10\/26)\/(-1)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/17)*t*t**(9\/5)*t)\/(t**(2\/5)*t**10))**(-2\/11) assuming t is positive.\nAnswer: t**(942\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48*(-285)\/720*(-33)\/(-57)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7895 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**3 - 3*s**2 + s. Let v be l(3). Solve -7 = v*a + 5*x, 3*x + 4 + 9 = -4*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**40*z)\/(z*z*z*z\/z**(2\/61)*z)*z**(-1\/13)*z\/(z\/z**(-8)) assuming z is positive.\nAnswer: z**(22962\/793)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -17*s**2 - 2*s - 2. Let v(n) = -136*n**2 - 17*n - 17. Give 17*q(o) - 2*v(o).\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -82*f**2 - 6*f + 3. Let k(z) = 27*z**2 + 2*z - 1. Give 2*a(i) + 7*k(i).\nAnswer: 25*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 5*-2*(sqrt(5808) + 1 - (sqrt(48) - 6*(sqrt(288)\/sqrt(6) - sqrt(48)))))**2*5.\nAnswer: 52000*sqrt(3) + 2400845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 3*sqrt(108) - (-5 + (sqrt(108)*1 - sqrt(108))))**2.\nAnswer: 324*sqrt(3) + 1053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-3))\/b)**(7\/5)*b**(-17)\/((b\/b**(-18))\/b) assuming b is positive.\nAnswer: b**(-189\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6605.3 from -3.6.\nAnswer: 6601.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*o**4 + 20*o**4 - 1 - 12*o**3 + 7 - o + 7*o**3 as p*o**4 + h*o + g*o**3 + a + d*o**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 174 - 21. Suppose -q = -u + 29. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -5, -0.17, 352, -0.15?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -38.26 - -39. Let a = l - -0.16. Let p = -0.4 + a. What is the third biggest value in p, -4, 0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 = 25*z - 511. Suppose -3*x - x = -240. What is the greatest common factor of x and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7700996 by -1132.\nAnswer: -6803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/7 - (196 - 201).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43383431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1200 and 30984960?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**4 - u**3 + u**2. Let n(t) = 5*t**4 + 4*t**3 - 4*t**2 - 3*t. Let s(z) = -4*a(z) - n(z). Find the second derivative of s(o) wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2750 or 289?\nAnswer: 2750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n - 111*n**3 + 221*n**3 + 6 + 10*n**3 - 22*n**3 - 3 to m*n + p*n**2 + w + d*n**3 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f**2 + 2*f + 2. Does 3 divide k(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -125*d - 23. Let b(f) = 57*f + 11. Let x(z) = 13*b(z) + 6*g(z). Let y(i) = -28*i + 16. Determine -16*x(a) + 5*y(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5454940 divided by -272747?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-128)\/(-40)*(-30)\/(-4). Let f = -8 + 12. What is the least common multiple of ((-6)\/(-8))\/(1\/w) and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 11 = r, w + 16367 - 16363 = r for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1151138715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 + m - 1. Let b(k) = -k**3 + 3*k**2 + k - 3. Let h = 196 + -202. Let z(g) = g**3 + 6*g**2 - 3*g - 16. Let y be z(h). Calculate y*b(a) - 6*i(a).\nAnswer: -2*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1005\/7 + 144. Let q(r) = r**2 - r + 1. Let f(j) = 4*j**2 - 12*j + 10. Let t(h) = f(h) - 2*q(h). Let c be t(4). Is c greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0. Let v(k) = z - k + 0. Let m(g) be the second derivative of 2*g**3\/3 + 3*g + 8. What is m(v(o))?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-64)*(-6 - -2). Is (-1398)\/(-3) - (-6)\/t a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -42714*b - 939699. Give v(-22).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1261751 divided by -5\nAnswer: 1261751\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 1106 = -0*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) 2\/7 (c) 0.47 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w**5 + 28385*w**4 + 40327910*w**3 + 120473230*w**2 - 362043755*w + 201214225 = 0. What is w?\nAnswer: -2837, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-24)*(-11 - -7). Let z = 76 + -77. What is the nearest to z in 0.4, p, -23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of -188 + 72 + 61*o - 138*o**3 + o**2 + 135*o**3. What is the first derivative of m(v) wrt v?\nAnswer: -18*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 - -8. Let n = 24 + a. Suppose 3*r - 15 = 0, -n*p + 6*r = 2*r - 75. What is the remainder when 73 is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) - (sqrt(245) + 0 - sqrt(245)) - (sqrt(5) + 2 + sqrt(5) + sqrt(5))*-6)**2 + 1 + -4 + 3*sqrt(320) + (-3 + sqrt(320))*4.\nAnswer: 656*sqrt(5) + 3254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 25?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1473.3 rounded to the nearest 10?\nAnswer: -1470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 0) + -9 + -2 + -2.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -15*s + 1883. Let z = s - 265. Solve 6 = -z*n + 18 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 1 + 0)*(-166 - 17*z - 39 + 203 + (-7*z + 2*z + 3*z)*(-1 + 0 + 0))*(1 + 2*z**4 - 1).\nAnswer: -150*z**5 - 20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one fifteenth of a minute?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -369*k**2 + 173860*k - 28735. Determine s(471).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 354297675?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 229146.61993 plus 0.4?\nAnswer: 229147.01993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n - 32. Suppose -g - 4*g = -2*r - 8, 5*r = 4*g - 20. Suppose g*t = 5*t - 20, -5*u = -2*t + 113. What is the units digit of x(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -10 (c) 1\/4 (d) -3 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*w - z, -4*w = -3*w - z for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41106095?\nAnswer: 5, 8221219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 28, 68, 120, 190, 284, 408, 568, 770?\n\"Answer: p**3 + 33*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w + w**2 + 6*w + 1 + w. Let d be a(-5). Let k be 2706\/15 + d\/(-15). Calculate the greatest common divisor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5000304 (base 7) to base 10\nAnswer: -588396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 5. Let m be v(-9). Let y(q) = 3*q**2 + 2 + 7*q + 7 - m + 3*q. Is y(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*w**5*z - 29*w**2*z + 518*w*z wrt w?\nAnswer: 280*w**3*z - 58*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2407 - 2404.8792. Round y to 2 dps.\nAnswer: 2.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 450?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -36. Suppose v + k = 2*v. Suppose 0 = 3*g - 4*r - 15 - 6, 0 = -5*r - v. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5\/2 - 215*g**4\/2 + 145*g**3 + 2585*g**2 - 10375*g\/2 + 5125\/2 = 0. What is g?\nAnswer: -5, 1, 5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 equal to 94\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-28)\/(-36))\/1 + 6\/27. Put q, 10, 5 in decreasing order.\nAnswer: 10, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 6*q + 1. Let k be (-7)\/((-21)\/(-414))*1. Let v be k\/(-30) - (-2)\/5. Let j be g(v). Sort -2, j, 7 in decreasing order.\nAnswer: 7, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -411162 and -307.\nAnswer: 126226734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 6. Let i = -10 - q. Let y(t) = -t - 8. Let n be y(i). Is n less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/341 and 222\/84 - (-1)\/(-7).\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u**4 + 2480 - 4*u - 13*u + 24568*u**3 - 12506*u**3 - 1860*u**2 - 12670*u**3 = 0. Calculate u.\nAnswer: -2, 1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3629202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -30332525?\nAnswer: 30332530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 9*u - 13. Suppose -8*s - 12 + 60 = 0. Let n be x(s). Solve k - n = -4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/5, 1, -0.1 in descending order.\nAnswer: 1, 1\/5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f + 5*j - 27, 2*f = -4*j + 18. Suppose 3*x + b = f*b + 2090, -x + b + 698 = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -5*h**2 - 6*h + 3. Let c(j) = -11*j**2 - 19*j + 4. Let r(b) = 55*b**2 + 98*b - 19. Let w(f) = 11*c(f) + 2*r(f). What is -13*u(i) + 6*w(i)?\nAnswer: -i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 426.7551mg?\nAnswer: 0.0000004267551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1\/(-2) + (-27)\/(-6) and 33\/(-2)*(12\/(-9) + 0)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 10*s + 44. Let d(j) = 2*j + 9. Let q(v) = 3*c(v) - 14*d(v). Let z(p) = p + 5. Calculate -3*q(f) + 4*z(f).\nAnswer: -2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 16\/72 - (-68)\/18. Let u = g + 9. What are the prime factors of u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 9*n + 10 = -4*k, 3*n = -2*k + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4*v = 12, -39*h - 4*v - 9 = -42*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-177)\/(-6))\/(1\/2). Suppose -3*u - 9*j = -8*j - 1262, 4*u - 1689 = 5*j. Suppose 8*x - q = u. Is 10 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*x = 138 - 202 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1179)\/27)\/(((-1)\/(-21))\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-40)\/(-8))\/((-10)\/12)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, n: 4, s: 4, p: 1, g: 2, m: 1}. What is prob of sequence kp?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11175.\nAnswer: 3, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 divided by -2612?\nAnswer: 25\/653","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*d - 2 = -2*d, 5*v + d = 22. Solve f = -2, -3*i + v*f = i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -79\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/6)\/((-7)\/949620189) + 2. Let y be q\/(-28) - (68\/(-28) - -3). What is y rounded to the nearest 100000?\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 11 = -4*x + 3*t, -4*x - 4*t - 36 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**4 - 5104*i**3 - 5111*i**2 + 30630*i = 0.\nAnswer: -3, 0, 2, 5105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5\/1838 or -1?\nAnswer: 5\/1838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + -431365?\nAnswer: -431366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, x: 3}. Give prob of picking 1 e and 3 x.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/169? (a) -1 (b) 2 (c) -1126\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2102002 + -10120101?\nAnswer: -1011022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 49 + 56. Let m = 2 - w. Calculate the remainder when m is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 4*u + 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120536 + 4335?\nAnswer: -113201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 257\/3 - 85. Suppose -2 = -5*t + 13. What is the second smallest value in 5, o, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2. Suppose 0 = -x + 3 - 1. Let i(k) = 2*k**2 - k**2 - 2*k**2 + 3*k**x. What is l(i(a))?\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-56)\/70)\/(8\/(-580)). Suppose -h + 1 + 36 = 4*v, -4*v = -2*h + 134. Which is bigger: h or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-30))\/((-12)\/120)*-3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 713 is divided by 232.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 344 + -362 - (-11 - (5 - 13)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12084\/16 - (-1)\/(-4). Suppose 2*p = -4, -5*n + z = -2*p + 7*p. Suppose 0 = -4*y + n + 79. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -375 - -416. Calculate the highest common factor of d and 41.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 54, 0.2, -53, -5\/4.\nAnswer: -53, -5\/4, 0.2, 0.3, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 h, and 1 l when three letters picked without replacement from {d: 2, h: 4, l: 4, t: 3, v: 3}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 358*i**4 + 480*i**3 - 4*i**2 + 77693*i?\nAnswer: 8592*i + 2880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 7 + 8 = f, f + 25 = -3*a. Let l = 0.04 - -4.96. Suppose -11*j + 37*j = -130. What is the closest to a in l, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pee when three letters picked without replacement from ppeepppppppppepepp.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-520)\/(-2080)*35*(-1 + 5).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 - 3*h**2 - 2. Let a(i) = -i + 13. Let m be a(7). Let w = m + -3. Determine g(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -1\/70 (b) 3\/4 (c) 1 (d) -3\/5 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)\/(sqrt(99)\/(sqrt(9) + 3*sqrt(9) - sqrt(9))) + ((sqrt(25) + sqrt(1600))*2)\/sqrt(5))**2*2.\nAnswer: 4410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 1. Suppose -5*q - 3*r = -r - 23, 16 = 4*q + r. Suppose -3*w = -2*s + 10, -1 - q = -3*s - w. Solve s*m + 4 = 0, c*t = -t - 5*m - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2078169 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**2 - 59 + 6*p**2 - 7*p**2.\nAnswer: -3*p**2 - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -188, 3, -2 in descending order.\nAnswer: 3, -2, -4, -188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69810*-0.1.\nAnswer: -6981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a388 + -b5?\nAnswer: -4a481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 - -4.827574458.\nAnswer: -18.172425542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 144*t**2 + 102*t**2 + 151*t**2 + 145*t**2 + 142*t**2 + 218*t**2 - 905*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 160 divided by 16\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*-6*1370\/822\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 183 - 169 = -5*q, -2*d - 2*d + 8 = -2*q for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 16 (b) -0.3 (c) -3 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 15 = 5*n + 5, -5*l - 20 = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 458*o + 1025. Let w be p(0). Suppose j - 10 = -0*m + 3*m, -3*j = 4*m - 95. What is the greatest common factor of w and j?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 13 = 46. Let l = v - -3. Let r = -11 + l. Which is the third smallest value? (a) r (b) 12 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**3 + 2*w**3 - w**5 + (3*w**5 - w**3 + w**3 + (-2*w**3 - 4 + 4)*(-w**2 + 0*w**2 - w**2) - 3*w**5 + 0*w**2 + 0*w**2)*(-2 + 0 + 0).\nAnswer: -9*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/1)\/(6\/9). Suppose -o*q = -5*q + 4. Let t(y) = -y**2 + 4*y - q*y - 2*y. Let u(h) = -2*h. What is t(u(i))?\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/11, -4\/37, 4.3, 4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*g = -1567 + 1728. What is the nearest to 26 in g, 4, -2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - (sqrt(190) - (sqrt(190)*3 - sqrt(190)))*-2 - sqrt(190))*-3)\/((-2*sqrt(80)*-2)\/sqrt(8)).\nAnswer: 3*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 3*d - 76. Calculate the least common multiple of 1 and 99\/66*(d + -1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.392*-2.95\nAnswer: 10.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5929)*-1 + sqrt(5929) - sqrt(5929) - sqrt(5929))\/(5*(2*sqrt(7) - sqrt(7))).\nAnswer: -22*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10522.\nAnswer: 2, 5261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14895661.\nAnswer: 11, 907, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3 and -8\/1875.\nAnswer: 1875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28658\/28)\/23 - 5)\/((-44)\/(-88)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 1:12 AM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a millennium in years?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -3 (b) 3 (c) 1\/2 (d) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -812827, -812826, -812825, -812824, -812823, -812822?\n\"Answer: q - 812828","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 88 = 7565*b - 7571*b, w = -5*b + 22 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-31)*u\/u**(-5\/3))**(2\/41) assuming u is positive.\nAnswer: u**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 747 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, w: 4, r: 1}. Give prob of sequence rdw.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.49 + -2.49. What is the nearest to 1 in f, -4\/3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 434044, -6, 1 in decreasing order.\nAnswer: 434044, 1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 10:57 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {q: 4, m: 8, j: 1, n: 2, f: 4}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.102892 * 0.736.\nAnswer: 0.075728512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d + 2. Let n(a) = -163*a**2. What is s(n(y))?\nAnswer: -1793*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3646 is divided by 601?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3515852 divided by 3.\nAnswer: 3515852\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -48.1 - -44. Let n = a - -4.3. What is the closest to 0 in n, 3, -2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*h - 7*h. Calculate the greatest common factor of 3 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, 17, 39, 63, 89, 117?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*n + 12 = -28. Suppose 12 = 4*k - n*k. Solve -6*u + 36 = k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((1 + 0 + (sqrt(704) + -5*sqrt(704)*2 - sqrt(704) - (sqrt(704) + (sqrt(704) - (-1 + sqrt(704)*-1)))))*-5)**2.\nAnswer: 2974397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**3 - 2*k**2 + 2*k. Let s be n(2). Let l(v) be the first derivative of -v**4\/4 + 2*v**3 - 3*v**2\/2 - 4*v - 2. Is l(s) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13 - 2 - 4)*(4*f**3 - 2*f**3 + 2*f**3) - f**3 - f**3 + 0*f**3 to s*f**3 + k + i*f + l*f**2 and give s.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*s - 78*s**2 + 11*s - 1 - 1 + s**4 + 79*s**2 + 13*s**3 in the form v + b*s + l*s**2 + w*s**3 + z*s**4 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1302 and 28039221?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*(2 + 0 + sqrt(1573) + -5 + -1))**2.\nAnswer: -3168*sqrt(13) + 57204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 102*k - 4691. Let w be i(46). Sort w, -4, 40, 4 in descending order.\nAnswer: 40, 4, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 28 + -14 - 6 - -9\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 6.\nAnswer: -29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-19))\/o**(4\/7))\/(o\/o**(-10))**(-4) assuming o is positive.\nAnswer: o**(444\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10675844.\nAnswer: 2, 71, 37591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -51*d**2 + 3*d + 7. Suppose -2*x = -10, 0*y + y - 8 = -2*x. Let j be m(y). Round j to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 6*y**2 - 6*y - 3. Let d be m(-5). Let a = 4 - 2. Is d bigger than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -1\/15*d**5 - 4*d**2 + 0*d**4 + 0*d + 0 + 0*d**3. Let p(u) = 6*u. Let b(s) = -2*s. Let g(c) = -2*b(c) - p(c). Give t(g(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 320*b**2 - 467*b - 7. Is k(-26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 13. Suppose 28*n = 24*n + 12. Is (-1492)\/2*c\/6*n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmmgmggqgqgq. What is prob of picking 2 m?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45424 is divided by 164?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + 14 - -15)\/(3\/(-30)*-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, -13, 36\/11, 43\/12, 11.9?\nAnswer: 36\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-3))\/(653\/(-2612) + 45\/(-8) - -6)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tpmvmvtvmtvfmmttttv. Give prob of sequence tp.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-1))**44*h**(-9)*h**(1\/3) assuming h is positive.\nAnswer: h**(238\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 44 = -4*n, 5*z = -5*n - 7 + 2 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -114869.\nAnswer: 34460.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(-5) + (-609026)\/(-235)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 3*u - 7*u + u + 4*u. Let b(n) = 4*n**2. Determine t(b(o)).\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32.13 - -32. Let y = x - -0.13043. What is y rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 9686, 19320, 28904, 38438, 47922, 57356, 66740?\n\"Answer: -25*x**2 + 9709*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzvvzvzvzzzzv. What is prob of sequence vvv?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 1:24 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*u + 3895 = 13744. Let r be (10 - u\/49)\/((-2)\/34). Is -6 at most as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**3*v**2 - 3732*t**3*v + 3*t**2*v**2 + 4*v**2 + 492*v wrt t?\nAnswer: -18*v**2 - 22392*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -251*k + 12455. Calculate i(49).\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 140 - 135. Let m be 1 - (-5 + 9 - a). Find the third derivative of -2*s**2 - 4*s**2 - 3*s**2 - 3*s**m + s**3 + 5*s**4 wrt s.\nAnswer: 120*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 460592?\nAnswer: 2, 11, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 divided by -3?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**4\/8 + 5*m**3\/6 + 2*m**2 + 2*m + 83. Determine q, given that d(q) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2. Let n be 4 + (0 - (3 + -3)). Let p(q) = 2*q - n*q + q. Determine y(p(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 350059 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, c: 1, v: 2, j: 4, n: 2, g: 2}. What is prob of sequence vvc?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 138\/24 - 6\/8. Solve -5*z = -8*b + 3*b - 15, -3*b = -t*z + 17 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q**2 + 26*q - 1. Let i(b) = b**2 + 0*b**2 - b - 8*b. Let p(d) = -7*i(d) - 2*j(d). Let v be p(9). Solve 19 = -3*y - s, -4*s = s + v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -422 + 417. Which is the second biggest value? (a) -0.5 (b) 5 (c) -14 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(2*(sqrt(170) + sqrt(170) + (-4*sqrt(170)*2 - sqrt(170))))\/(sqrt(80)\/(sqrt(16)\/sqrt(2))*5).\nAnswer: 14*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 - 26*o**2 - o - 8. Let r be m(-26). Let b(u) = 2*u + 7 - r + 11. Let c(a) = -2*a - 1. Calculate b(c(i)).\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.1. Let u = -70310\/11 + 421871\/66. What is the fourth biggest value in u, 3, k, 8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1282028 and 0.515.\nAnswer: -660244.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 3:40 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000243317384 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2*s - 10*r - 208, 3*s - 63 = 3*r for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + 7. Solve -t + 3*m - 14 = -0*m, 2*t + v = 5*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28 and 8708.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + 2*d**2 + 14*d - 8. Determine t(8).\nAnswer: -280","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n + 1. Let h(m) = -m. Let g = 0 + 2. Suppose -12 + g = 2*t. Let y(v) = t*h(v) - k(v). What is y(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100111001111011 - -100?\nAnswer: 10100111001111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*x = 5*x - 10, 0 = -5*x. Solve -4*s = m*n + 4, -2*s + 6*s + 4*n = 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 4*s**3 + 112*s**2 - 9*s - 154. Determine q(-28).\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (61\/(-305))\/(16\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2 - 552*k - 22382. What is l(-226)?\nAnswer: 218","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 9 + 0 = 0. Suppose q + 20 = 5*p, c*q + 40 = 7*q + 4*p. Suppose -3*x - 2*x + 35 = 0. Calculate the remainder when x is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 - 4 = 5*k, w = -5. Let j = 304.1 + -305.1. Let n be (1 - (-2)\/(-4))\/(-2). Which is the closest to j? (a) 0.4 (b) k (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 59000 + 8*m + 12*m**2 - 4*m**4 - 59000 = 0. What is m?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 35 - (-48600)\/1215?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 12*b**2 - 3*b + 24. Let g(h) = h**2 - h. Let k(o) = 5*g(o) + s(o). Let p be k(8). Calculate the highest common divisor of p and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 19*l**2 - 21*l - 17. Let m be d(-20). Solve -m*z + 2*z + 3 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 19*l**4\/2 - 2*l**3\/3 + l**2 - l - 1. Suppose 2*t + 8 - 10 = 0. Is n(t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174999 is divided by 7129.\nAnswer: 3903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 313 and 7?\nAnswer: 2191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 814?\nAnswer: -162.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-4) - (-19598372850)\/(-120). Let r = q - -288619773. Round r to the nearest one million.\nAnswer: 125000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 3*p**4\/8 + 11*p**3\/6 + 2*p**2. Suppose -6*q = -58 - 8. Let m(i) = -5*i - 6. Determine q*m(s) + 6*k(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 440 = 2*u. Calculate the remainder when 41 is divided by -5*-3*u\/(-60).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/11)\/u)**(2\/47)\/(u**15*u)**(8\/13) assuming u is positive.\nAnswer: u**(-66410\/6721)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 391181759?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26589?\nAnswer: 3, 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1181 + -1181. Solve 6*x - 3*x = 5*r - 24, -4*x - 12 = j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130898 is divided by 1350?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/88 and 7\/88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -77*o + 4. Let t(g) = -153*g + 9. Calculate 7*q(b) - 3*t(b).\nAnswer: -80*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/263 - -520\/789. Which is the second biggest value? (a) p (b) -3\/2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - 0. Let z be -36*(-8)\/448*21\/(-18). Which is the second biggest value? (a) z (b) -4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177*c**2*h**3 - 47*c**2*h**2 wrt h.\nAnswer: -1062*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -350 + 231. Let j = k - -122. Solve j*v = -2*i - v - 2, 3*i - 2*v = 21 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 12:42 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 37a78 (base 11) in base 15?\nAnswer: 1125a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 219652221.\nAnswer: 3, 59, 1240973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9030*r + 56206. Give l(-6).\nAnswer: 2026","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*x + 1986 + 160 = 0. Let u(o) = -o + 10. Let c be u(5). Suppose 31 + 34 = c*j. What is the remainder when x is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 12*w**2 - 1549*w - 14172. Calculate s(-9).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {b: 5, q: 4, u: 7}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -4056 divided by -8?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*k - 9 = 621 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o\/(o\/(o*o**(2\/3)))))\/o*((o\/o**(-5\/2))\/o)\/o)**(-15))**(2\/73) assuming o is positive.\nAnswer: o**(-25\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2.7 (b) 0.12 (c) -5 (d) 95 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f = 4*c + 10*f - 12, 3*c + 4*f = 20 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -468018665+0.0151\nAnswer: -468018664.9849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 782673805 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2 (b) -3 (c) 0.3 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -9295*t**2 + 5*t**3 - 15*t - 10 + 9295*t**2 = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -5*g + g + 2*g. Let r(z) = z**2 + 2*z + 2. Let m(b) = 3 + 2 + 0*b - 4 + b. Let s(u) = 2*m(u) - r(u). Give s(f(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 23707, 23679, 23625, 23539, 23415?\n\"Answer: -d**3 - 7*d**2 + 23715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1 and 201165?\nAnswer: 201165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 807868 is divided by 18325.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.04924 + 2.04. Round j to four dps.\nAnswer: -0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186 divided by -4052.\nAnswer: -93\/2026","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 4*q + 8. Let n be y(-2). What is the thousands digit of -9 + n\/2 - -1008?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -667802 + 667805. Let s be 10\/(-66) - 2\/(-6). Let z be 4\/14 + 97\/(-21). Which is the third smallest value? (a) z (b) s (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-10)*t*t*t**0*t)**(-14\/13)*(t\/t**(1\/2))\/(t\/(t\/t**(-1)))*(t*(t\/((t\/t**(2\/7))\/t))\/t*t)\/(t**(1\/10)*t) assuming t is positive.\nAnswer: t**(4162\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 11:32 AM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (10\/4)\/(396\/(-880) - (-8)\/(-10))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 31?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-63)\/2) + (-1690)\/(-315) + -5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91854 divided by 243.\nAnswer: -378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2746 in 0, -1\/2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 121697, 243366, 365035, 486704, 608373?\n\"Answer: 121669*f + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1377))**2 + sqrt(17) + 2.\nAnswer: sqrt(17) + 1379","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 39\/91*(-3 + 36\/(-16))?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 4 = j + j, 5*y + 14 = j. Let m = j - -11. Find the common denominator of (-4631)\/660 - (-6)\/m and 13\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47329653?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182 - -184. Solve -j*z - 3*z + s - 25 = 0, -s = z - 1 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 minus -1741483.01?\nAnswer: 1741321.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 5*u + 17, 0 = 3*u + b - 0*b + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1308588?\nAnswer: 2, 3, 109049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 5*f + 12 = 0, 5*x = 4*f - 2 + 4. Solve 0 = -x*q + 2 + 4 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/21, 13, 1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 2:15 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 3145909 and 3145909 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) -0.4 (c) 0.2 (d) -1\/3 (e) 3289\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 114 + 3775077?\nAnswer: 3775191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in kilograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + -2 + 17499\/(-2502). Let i = j + -24\/139. What is the common denominator of (-202)\/16*-1 + 0 and i?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59319*q**4\/5 + 992653272*q**3\/5 + 1107281785896*q**2 + 2057594019229280*q - 4119618754037200 = 0. What is q?\nAnswer: -217570\/39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*w - 2*p, 4*w + 4*p + 101376 = 101336 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 + j**2 - 3*j**2 + (6*j - 14*j - 40*j)*(-6*j + 4*j + 17*j).\nAnswer: -723*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 5 - 13. Suppose -3*p - o = 3, p - 5*o + 19 = -p. What is the units digit of 63\/(-6)*p - (b - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-794)\/1191)\/(((-1145)\/(-15))\/(-1))?\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.49981 to 3 decimal places.\nAnswer: -5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5)\/c**(1\/7))**(1\/9)\/((c**(2\/3))**(-29)\/(c**(-2)\/(c*c**(-1\/5)*c))) assuming c is positive.\nAnswer: c**(1571\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 634588 or 634589?\nAnswer: 634588","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 126 + 29 - 9*n + n.\nAnswer: -7*n - 97","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 17*x**2 - 4*x - 2. Let r be a(-3). Suppose 13 = 8*p - 19. Suppose -p*s = 15 - r. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3985 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13382.\nAnswer: 2, 6691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4668 = 148*n + 172*n + 1148 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - 4\/(-8))*2. Let d = q - -10. Factor -3\/2 - 3\/2*j**2 + d*j.\nAnswer: -3*(j - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-2 - -7) - (-5 + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1021318 is divided by 9038?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 4*k**2 - 3*k. Let s be j(2). Suppose s*z - 7 = 5. Let q = -1 + z. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1307578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from tgfcqtqttftcqq.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 660 and 924.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(833)*-2 - sqrt(833) - sqrt(833)*-1*-5)**2.\nAnswer: 112*sqrt(17) + 53313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**11*f**(-1\/4)*f**(6\/5)\/f**(-7) assuming f is positive.\nAnswer: f**(379\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 313, -0.6, -1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -13. Let m = u - 1. Let v = 3.999988 - m. Round v to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8037*h - 4340 = -8657*h for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*y**2 + y + 2*y - y**2 - y to the form b*y + k + a*y**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/40 + 1\/8. Suppose p = 2*n - 3*d - 45600009, 4*n - 3*n + 4*d - 22799977 = 0. Let m be (-1)\/2 + n\/(-6). What is m rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**5\/o**(-2\/3)*o**(-2\/11)*o\/(o*o**1*o)*o assuming o is positive.\nAnswer: o**(148\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1387 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 3. Let g be w(-7). Suppose 0 = 3*k - g - 29. Suppose 0 = l + 4 - k. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 271783\/14430 + -3\/2405. Find the common denominator of n and 77\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*n - 3*n = 19 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 8:02 PM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.3 minus -0.6149?\nAnswer: 7.9149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Let f = -118 - -124. Suppose a = -f*y + 9*y - 21. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*j - 355 = -j, -5*j = -2*i + 254. Let q = 131 - i. Calculate the highest common divisor of 14 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*r - 20 = 0, 0 = -3*r - r - 20. Suppose -3*g + 4 = -o, -2*g - 2*g - 2 = -v*o. Let w = 11 - 7. Solve -5*p + 12 = w*j + o, 4*p = 5*j + 8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -79*k - 18. Let u(r) = r**2 - 12*r + 28. Let m be u(8). Is y(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -77 + 142. Let m = -59 + s. Suppose -5*t = -11*t + m. Solve -4 = -3*g - t for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14245015 (base 6) in base 3?\nAnswer: -220210221102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*i + 48*i - 34*i + 2)*(14 + 40 + 0 + 25).\nAnswer: -790*i + 158","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 246945 and 33252?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 69\/187 or 0?\nAnswer: 69\/187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.3, 10\/7, 14 in ascending order.\nAnswer: -2.3, 10\/7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.03 (c) 427 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 6*h**2 - 5*h - 3. Let z(f) = f**2 - 7*f + 5. Let g be z(7). Suppose 28 - 3 = -g*x. Determine t(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-2)\/(-1))\/2)\/((-1)\/5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 708.32 - 707. Round s to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*(10\/(-3) - 3). Let s = k - -14. Let j be -4 - 4*(s - -4). Solve 0 = 3*y, -4*q - 4 = -j*q + 3*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 136.75 + -136.7500002043. What is i rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38278198 divided by 1?\nAnswer: -38278198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 124676.226 microseconds to days.\nAnswer: 0.000001443011875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-11032)\/10 - (-4)\/20. Let k = q + 1563. Suppose -375 = -5*i + k. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + -59. Let r = y - -142. Calculate the remainder when 142 is divided by r.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**4*g*(g*g**(-4\/7)*g)\/g*g)\/((g\/g**(1\/3))\/(g**(-1\/4)*g)))\/((g**(-1)\/g)**(-16\/5)\/(g*((g**(-3\/7)\/g)\/g)\/g*g*g**(1\/6))) assuming g is positive.\nAnswer: g**(-23\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -12*r. Suppose -3*k - 96 = -3*h - r, 4*h = -k + 108. Let x be 2\/((-2 + 3)\/7). What is the greatest common divisor of x and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**2 - 10*a**2 - 2*a**2)*(-2*a - a + a) - a**3 + 2*a**3 + 0*a**3 + 7*a**3 - 2*a**3 - a**3 + a**2 + 2*a + 4*a**3 - 3*a**2 - 6*a**3.\nAnswer: 21*a**3 - 2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6b + 2906?\nAnswer: 2972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/4)\/(34\/2584*38).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-189)\/(-5))\/9*-5.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 13 - 7 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77930964, 155861929, 233792894, 311723859, 389654824?\nAnswer: 467585789","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2*a**2 + 2. Let u be r(-2). Let h(j) = j**2 - 12*j + 12. Let m be h(u). Let w be 3*m\/(-60)*10. Solve 2*x + 3*x + 32 = w*l, 26 = -5*x + 2*l for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -206304 and -1?\nAnswer: 206304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 1:20 PM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9664 (base 12) in base 9?\nAnswer: 24554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**5)**(9\/4)\/((x*x\/(x**(2\/3)*x))\/(x*x*x\/(x**2*x)*x)*(x*x\/x**(-3\/5))\/(((((x**(-4)\/x)\/x*x*x)\/x*x)\/x)\/x)) assuming x is positive.\nAnswer: x**(-103\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 2*y + 20, 2*y + 7 - 3 = -q. Let 0 - 1\/3*a**2 + 1\/3*a**q - 2\/3*a**3 + 2\/3*a = 0. Calculate a.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -1. Suppose h*k = k - 6. Let m(x) = -x**3 + x**2 + 3*x + 2. Calculate m(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t + 77 = -3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-11)*(-4 - -3). Solve 10*x - 5*x = v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.255 + -0.045. Suppose -2*j = 6 - 16. Which is the nearest to -0.1? (a) j (b) -1 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + d + 1000. Let r(b) = b**3 + 4*b**2 + 4*b + 3. Let j be r(-3). Let v be x(j). What is v rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -29037.647 to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/(-2))\/(-3 + 1). Suppose 2*v = -3*m + 58, m - z*v - 22 = -v. Does 18 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -604*a + 24895 = -136*a - 85*a for a.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51543124 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 6. Suppose 1 = r + 2*g, -g + 1 = r + 4. Let q(b) be the first derivative of 9*b**2\/2 + 13*b + 795. Give r*o(m) - 3*q(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29812 - 2159*m + 29812 to j*m + x and give j.\nAnswer: -2159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-70))\/(1264\/4424).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1043\/89 or -13?\nAnswer: -1043\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*j + 2 = 39*j. Let o be (j\/(-4))\/((-33)\/(-88)). Which is the smallest value? (a) -0.5 (b) o (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x + 6504. Let k(h) = -34*h. Calculate l(k(v)).\nAnswer: 34*v + 6504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -213137, -426276, -639415, -852554?\n\"Answer: -213139*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(-6)*(-6)\/57*(-95)\/(-1330).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.0844035, 13 in decreasing order.\nAnswer: 13, -0.0844035, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/3 - 23918842*v\/3 + 23918840\/3.\nAnswer: 2*(v - 11959420)*(v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100111100001000111 (base 2) to base 7.\nAnswer: 1242622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*n = -70206, 21092 + 13998 = -2*x + 5*n. Let s = x - -9550. Round s to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 7, -7, -39, -95?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 9*j**3 + 2*j - 2. What is the tens digit of v(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 40 (b) -0.4 (c) -854.6 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -26*q. Let y(m) = -2*m**2 - 5*m - 81. What is g(y(c))?\nAnswer: 52*c**2 + 130*c + 2106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 4:44 AM?\nAnswer: 9:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -4*b + 7, -5*m - b = -19 - 0. What is the remainder when (m\/2)\/((-3)\/(-4)) is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1652 + -1653. Let s(v) = -45*v - 3. Let p(q) = -q - 1. Calculate h*s(a) + 3*p(a).\nAnswer: 42*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 11*f**2 + 12*f + 10. Calculate the smallest common multiple of r(-8) and 72.\nAnswer: 7416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j**2 + 0*j**2 - 26*j**2.\nAnswer: -28*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 10*u**2 + 4*u - 5. Let l be n(9). Let a = 229 + l. What are the prime factors of a?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77277 + 38635 + 38642 - 23*m.\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 7, 1\/130, 2\/9, -1, 118, 1, -0.5?\nAnswer: 1\/130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2. Let u(d) = -2284*d**2. What is u(p(g))?\nAnswer: -2284*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*k - 73*k - 209 = 0 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhggoheooenhhgaoee. Give prob of sequence aeo.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 21*d**5\/5 + 13*d**4\/4 - 145*d**3\/3 + 3*d**2\/2 - 917. Find the third derivative of g(h) wrt h.\nAnswer: 504*h + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 9 - 11 = 0, 4*f - 52 = -i. Let m = 3 + f. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by (8 - 1)*43\/7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -175732 divided by 1.\nAnswer: -175732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 2:28 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/23, -39, 11, 0.3408?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341756 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 12:27 PM?\nAnswer: 3:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 0*y**2 - 7*y**3 + y**2 - 8*y + 10*y + 1. Let w be z(-1). Suppose 4*i = 11 + 9. Solve -i*o - 13 = w for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 5*s + 13. Let b(d) = 2*d**2 + d - 2. Let f(u) = 4*b(u) + q(u). Let z(h) = -4*h**2 - 5*h - 3. Calculate 3*f(j) + 5*z(j).\nAnswer: 7*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-32\/5)\/(a\/(a*a**11)))\/(a**(-15))**(1\/7) assuming a is positive.\nAnswer: a**(236\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -4*i - 2. Suppose 61 = 54*c - 263. Let t(n) = -7*n - 3. Give c*t(v) - 11*w(v).\nAnswer: 2*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2205235\/9 - 245284. Let d = -257 - k. Factor -16\/9 + 4\/9*f**2 - 2\/9*f**3 + d*f.\nAnswer: -2*(f - 2)**2*(f + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -2*h - 2*l - 1, 2*l = -2*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -134*g**3 + 3*g**2 + 3*g + 2. Let z(o) = -268*o**3 + 5*o**2 + 6*o + 3. Let i(u) = 7*p(u) - 4*z(u). What is the units digit of i(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.69 + -2.6454. Let c = -0.0554 - w. What is the closest to c in 3, -44, -1\/6, -3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4019709 + 6569704. Suppose -s - 510005 = -f, -5*f - 2*s + s = -t. What is f rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 2:11 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/(-20) + (-4)\/(-16) + 6\/(-27).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 + y. Let g be i(-3). Let l = 43 - g. Let s = -26 + l. What is the highest common factor of 6 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*u - c + 406, 2*c + 6 = 0. Calculate the remainder when 3357 is divided by u.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 4*d - 5*d**2 + 10*d**2 - 4*d**2. Let p(f) = -2*f. Determine p(h(v)).\nAnswer: -2*v**2 - 8*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20844 is divided by 898?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3319 - 3313. Solve 3*p = -f - 4, i = -3*p - 2*f - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 16. Let d(s) = -s**3 + 8*s**2 - 8*s + 4. Let j be d(u). Let r be (1\/j)\/((-3)\/45). Sort -5, r, -3 in increasing order.\nAnswer: -5, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6772, 6773, 6774?\nAnswer: 6775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2 = -2*s + 6, -n + 5*s + 24 = 0. Find i such that -4*i**5 + 16*i**n - 4069*i - 20*i**3 + 4069*i + 8*i**2 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23802, -23800, -23798?\n\"Answer: 2*v - 23804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-153)\/(-36)*14)\/((-1120)\/(-640)))\/22?\nAnswer: 17\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 112*c**4 - 10*c**2 + 5*c?\nAnswer: 2688*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*d - 4*s - 29, -5 = -2*d + s. Suppose 2*n - 2*x - 2 = d, -3*n = 2*x + 4 + 13. Put n, -1, -23, 5 in ascending order.\nAnswer: -23, n, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 7*u + 9. Let c be b(-8). Suppose -3*v = -3*j - 84, -2*v + v + 2*j + 29 = 0. Let t = v - c. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000307982 rounded to seven dps?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*c - 37 = 8 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*k**2 - 49*k + 49*k - 32*k**2 - 186 + 60*k**2 + 186.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i - 5*i + 2*i + 2)*(5*i**2 - 3*i**2 - i**2).\nAnswer: -5*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/5 + ((-36)\/(-30))\/3. What is the closest to 0.1 in 2, a, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of 107*c**6\/30 + c**4\/4 + 196*c**3\/3 + 11*c. What is the second derivative of n(y) wrt y?\nAnswer: 1284*y**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v + v**2 - v + (2 - 2 + v)*(-2*v + 4*v + 0*v) - 2*v**2 + 2*v**2 + v**2 - 432 + 434 - 8*v**2 - v - 5*v.\nAnswer: -4*v**2 - 6*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-480)\/100 + (-1)\/5. Let m be 16 + -4*r\/(-5). Suppose -8*o = -m*o + 344. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2467\/290 - -447\/58. Which is the second smallest value? (a) t (b) -249\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/1111 - 204\/1111. Sort -1, -0.35, l, 5.\nAnswer: -1, -0.35, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 5*j**2 - 39*j + 30. Determine u(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**5\/7 - 100*n**4\/7 - 628*n**3\/7 - 1112*n**2\/7 + 42*n + 1548\/7 = 0. Calculate n.\nAnswer: -43, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -9\/25 (b) 0.065 (c) 3 (d) 43 (e) -2\/7 (f) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3.78 * -352.069\nAnswer: 1330.82082","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -4021 and -4021 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30882710?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31652 - 4?\nAnswer: -31656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*x + 31799, 0*k - 4*k + 31792 = 4*x. Does 181 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3214639 by -1.\nAnswer: 3214639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38 and 342.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1083032 and 14564.\nAnswer: 1324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3798 is divided by 1258?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 17054021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 65*d**2 - 2*d - 22. Let l(i) = 22*i**2 - i - 7. Let y(q) = 14*l(q) - 4*t(q). Let m be y(7). Round m to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 162379.4141 + -162386. What is n rounded to 1 dp?\nAnswer: -6.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + 4 - sqrt(125)) + 1 - (sqrt(125) + -4*sqrt(125)*-6))**2 + 1.\nAnswer: -1250*sqrt(5) + 78151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14504542.\nAnswer: 2, 13, 571, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -8, -2498.89.\nAnswer: -2498.89, -8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 327 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 11*d**2 + 359*d + 232. What is l(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1134)*1)\/sqrt(2) - (0 + (1*sqrt(7)*3 - sqrt(7)) + sqrt(7))**2.\nAnswer: -63 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -4*o**2 + 848*o - 8080 = 0.\nAnswer: 10, 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (35 - 35 - 9*m)*(-3*m - 3*m + 2*m)*(m - 2*m + 3*m + (-2*m + m + 0*m)*(2 + 3 + 6)) in the form g*m + l + y*m**2 + q*m**3 and give q.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*k = 18647 - 18115 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*d - 3645 = 0, d = 3*g - 3*d - 10925. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57 and 2.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4 + 2*v**3 + v**2.\nAnswer: v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqqqqqqqqqdqqqqqqq. Give prob of sequence qd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/17)\/(f\/f**2*f))\/(((f*f*f\/(f**(2\/3)*f))\/f)\/f**(2\/11))*(f\/f**(-1))**(-38)*f**(-1\/9)*f**(-2\/3)\/f assuming f is positive.\nAnswer: f**(-131353\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 46 - -169?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 81 - 31 = 0. Calculate the common denominator of 687\/f + (-10)\/35 and -39\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 42, 84, 126, 168?\n\"Answer: 42*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**2 + 4173*q**4 + q - 4165*q**4 - 2*q in the form k*q**4 + d*q + x + i*q**2 + g*q**3 and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 795 is divided by 252.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 - 62. Let v = 2.7 - 3. What is the biggest value in -1\/6, v, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -104*y**4 + 181*y**4 - 72*y**2 - 108*y**4 + 24*y**2 wrt y.\nAnswer: -744*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*l - 62 + 17 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 63976697?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 19, 22, 11, -20, -77, -166, -293?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 4*k + 2 - 6*k**2 - 2 - 5*k in the form s*k + z*k**2 + h + y*k**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -15*r + 65. Suppose 79 = -5*d + 3*o, 0 = -0*d + 2*d - 2*o + 34. Let w be g(d). What is the greatest common factor of w and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-9)\/q)**10\/(q\/(q*q**(5\/6)))**(-5) assuming q is positive.\nAnswer: q**(-625\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-9 - -14) + -10)*6\/(-5). Solve 0 = -2*g + 8, -g + y = -9*q + 7*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 4*i**2 + 6. Let h be w(-4). Solve -q = -h*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1944236 and -125\/37996.\nAnswer: 114709924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.263 and 7753.152.\nAnswer: 7753.415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -z**2\/2 - 18*z + 162. Give r(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 3)*(-1 + 2*v - 1 - v) to the form a*v + j and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2)*(-29)\/(-638)*33\/6\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -35*u**3 - 1. Let b be i(-1). Suppose -2*p - 5*n + 13 = 0, -3*n + 13 + b = 4*p. Does 20 divide (-176)\/(-6) + p\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -23497.\nAnswer: 11\/23497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3*-10*2\/12. Which is the third smallest value? (a) 0.5 (b) g (c) 0.03 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -13*r**2 - 147*r + 1. Let s(u) = -15*u**2 - 165*u + 2. Let c(v) = -8*s(v) + 9*z(v). Determine c(4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 3 - 6 + 1 + 46*a to the form z + r*a and give r.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*u + 146*u - 1605 = 0 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/15, 7.0939, 163?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + q - 26224 = 70841, 2*q = -b - 32369. Round b to the nearest one thousand.\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110*q + 72 = -98*q for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b (base 16) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4989412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - 4*k**2 + 2*k - 5. Let v be w(4). Let g = -3 - -3. Solve g = 4*b + 16, v*i + 1 = -b - 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-4))\/((-728)\/(-182)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -373, -374, -375, -376?\n\"Answer: -y - 372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 120807863 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 47495200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 23 - 27 = 0. Calculate the remainder when 17 is divided by x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.11, -4, 0.06, 3\/2, 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29962239 + 0*g**3 - 29962239 + 7*g**3 - 3*g**3 + g**3 - 2*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8 - -7)\/(1*-1). Let q(i) = i - 1. Let r(j) = -2*j + 2. Let v(c) = d*r(c) + 5*q(c). What is the first derivative of v(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 5*w + 1. Let p be h(-5). Let j = 278 + -276. What is the first derivative of 9*i + 5 - j*i**4 + p - 9*i wrt i?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6120 by 17732.\nAnswer: -1530\/4433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228401.\nAnswer: 37, 6173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 3 (b) 0 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.034981 minutes to milliseconds.\nAnswer: 482098.86","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (806 - 815) + (-5)\/(30\/(-63))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5167, -3493, -1819, -145, 1529, 3203?\nAnswer: 4877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j + j - 6*j. Let i(z) be the second derivative of z**3\/3 - z**2 - z. Let d(f) = f + 2. Let t be d(-5). What is t*h(s) - i(s)?\nAnswer: s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 44335792.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-15))\/(31\/(-155))*-3*1\/(-6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5\/4 - b**4 + 5*b**3\/4.\nAnswer: -b**3*(b - 1)*(b + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1839469?\nAnswer: 1839469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000101110010000111 (base 2) to base 11.\nAnswer: 185827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 11\/1)*-2. Let g be (36\/c)\/((-6)\/200). Suppose -3*y - g = -5*q, 4*q - 4*y = 25 + 7. Calculate the remainder when 36 is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 11.\nAnswer: -6, -3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 589763467 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-14)\/(-63) - 17486\/(-126). Calculate the greatest common factor of 4309 and d.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2 - 3*g**2 + 3 + 12*g + 0*g**2 - 2. What is the remainder when 3 is divided by z(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-28092)*((-404)\/505)\/((-1)\/(-5)). Is j < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 3281?\nAnswer: 327d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 186 divide 71203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 6*h**2 + 4. What is k(5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/640 and -69\/2240.\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -87892459*z**4 + 68579647*z**2?\nAnswer: -2109419016*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vttvtvv. What is prob of sequence vt?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 367*p**2 + 32 + 400*p**2 - 635*p**2 - 12 - 2*p**2 + 0*p**2 + p**2 + (1 + 0 + 0)*(4*p**2 - 2*p**2 - 3*p**2) in the form h*p**2 + d + x*p and give h.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1339, -5377, -12101, -21511, -33607?\n\"Answer: -1343*d**2 - 9*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17991, -37445, -58365, -80751, -104603?\nAnswer: -129921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 31 (b) 4\/3 (c) 1 (d) 376\/7 (e) 0.45\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 327470 - 327470. Suppose 2*p = -3*i + 15, 4*i - 24 = -4*p - 0. Suppose i*x + 4 = 1. Sort j, x, 2, -5 in increasing order.\nAnswer: -5, x, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1917 * 0.5.\nAnswer: -0.09585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 - 4*j + 2. Let w be g(4). Suppose 3*c + 5*k - w*k = 39, 40 = 2*c - 5*k. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**2. Suppose -17*q = 2*l - 14*q, -4*l = -2*q. Let j(k) be the second derivative of 0*k**2 + 0*k**3 + 3*k + l + 2\/3*k**4. Determine a(j(u)).\nAnswer: -128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 232*p**3 - 43\/4*p**4 - 762*p**2 - 140 - 9\/4*p**5 + 788*p = 0.\nAnswer: -14, 2\/9, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3997 - 0.07938631?\nAnswer: 3996.92061369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 3533*h - 116126. What is r(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1064601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 30 = -3*n, -3*n = -4*x + 7*x - 33. Let k be 35\/(-7) + n - 0. Put 1, -11, -3, k in descending order.\nAnswer: k, 1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94954 by 340.\nAnswer: 47477\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 450639684 and 1023.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 37, 3, -2, -8, -4 in decreasing order.\nAnswer: 37, 3, -1, -2, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3246.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(1216) - (sqrt(19) + 4)**2*-2.\nAnswer: 70 + 64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**6\/120 - d**5\/40 - d**3\/3 - d**2. Let u(v) be the first derivative of w(v). What is the second derivative of u(x) wrt x?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 276, 3004, 7532, 13854, 21964, 31856?\nAnswer: 43524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -219137 at least as big as -219129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19720 + 24465. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 5 + -16 + 9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - m + 393. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*17.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 0*b - 19. Let i = 4.78703 - 1.78703. What is the nearest to -0.2 in b, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 + 41?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m = -2*g + 43, 0 = -2*m - 5*g + 34. Suppose -5 = 5*w - 20. Calculate the remainder when m is divided by (w - 0)*(-8)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8724509 + 8.356635?\nAnswer: -8724500.643365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 388841597 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 955 (base 12) to base 11.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -403, -811, -1217, -1621, -2023, -2423, -2821?\nAnswer: -3217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 158141?\nAnswer: 158141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 + 9*x**2 - 11*x**2.\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -0.4 (c) -1.771 (d) 0 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*r + 64 = 0, -5*r = 1592*u - 1590*u - 65 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -2. Suppose -4*y + 7 = -o + y, v*y + 9 = 5*o. Suppose -o*b - b = -28. List the prime factors of b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -43715 + 5?\nAnswer: -43710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*s + 5*s + s - 9*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyryryyyyy.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16955210*x**3 - 8477801*x**3 - 8476234*x**3.\nAnswer: 1175*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 999*v - 5039. Calculate t(5).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icc. Give prob of sequence ci.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 + 2*m**3 - 5*m**3 + (m + 3*m - 2*m)*(1 + 2*m**2 - 1))*(229*m - 181 + 181).\nAnswer: 458*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 - 8*l**2 + 12*l + 29. What is the hundreds digit of y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*t + 56*t + 3*w = 8, -5*t + 20 = -5*w for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d + 8. Suppose n + 3*q = 3*n + 12, 5*n = -3*q + 12. Let i be g(n). Let z = 35 - i. Calculate the remainder when 51 is divided by z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -325 divided by -3921\nAnswer: 325\/3921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 464023 take away -613?\nAnswer: 464636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a - 3. Let l be j(5). Suppose 2*r - 3*x - 10 - 2 = 0, 0 = 3*x + l. Suppose -5 = n, -2*g - 5*n = -5*g + 19. Which is smaller: g or r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 3. Let x be l(-7). Let s be x - 2 - (2 + 6). Let c be (-3)\/(-6) - 3\/s. Solve 1 + c = 2*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2 + 3 + 15*q + 2*q. Let o(c) = c + 9. Let k be o(-7). Is g(k) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 440 and 390280.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33 - -2075?\nAnswer: 2130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = q - 880, 0*l + 440 = 2*l + q. Suppose 2*k - l = -3*k. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p - 5. Let v be u(0). List the prime factors of ((-29)\/4)\/(v\/20).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 - -10. Let w = 7 - -4. Let z = w + t. Calculate the remainder when 20 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 163 and 163189569?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -35 + 641 + 6*-1?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13401907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**3 - 91*r**2 + 576*r - 6. What is b(8)?\nAnswer: -2246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 2*l + 0*l)*(6*l + 2*l - l) + (876 - 82*l - 876)*(-2*l + l - 2*l).\nAnswer: 267*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14678, 14427, 14168, 13895, 13602, 13283?\n\"Answer: -p**3 + 2*p**2 - 250*p + 14927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -49 + 47. What is the tens digit of 5*(f + 92\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4917000 to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1719 + -1690. Calculate the remainder when 231 is divided by o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1684*-32.4\nAnswer: -54561.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 424\/10 + ((-26)\/(-10) - (-24)\/(-8)). Solve -90 - s = -22*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + 36. Suppose 5*q = 4*b + l, 2*q - 27 - 15 = -4*b. Find the second derivative of 10*u**5 + 6*u**5 + q*u + 2*u**5 wrt u.\nAnswer: 360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5557740 divided by -6330\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*l - 239 = 16*l + 133 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28911863 is divided by 372.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 - 4032312*r - 4064885016336 = 0.\nAnswer: -2016156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 91 = 4*f, 4*j - 1159 = 4*f - 831. What is the greatest common factor of 3397 and j?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5220*t**3 - 5220*t**3 - 117*t**2 + 10439*t**3 - 111*t**2 + 228*t**2.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22 and -132.4.\nAnswer: -2912.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, -1\/3, -26622?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 453 = 1109 + 775 - 709 for r.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 104791320 and 2328696.\nAnswer: 104791320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of -16*p**5\/5 - 20*p**4 - 44*p**3 - 40*p**2 - 16*p + 584. Determine w, given that f(w) = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g - 784 = -20*g. What is the remainder when 665\/(-10)*(-4 + -2) is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**7*w)\/w)**(-33)\/(w*w**(-3)\/w*w\/(w*w**(-10))) assuming w is positive.\nAnswer: w**(-271)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 3*j + 4*q - 24, 5*q = -3*j + 22. Let x be (j + -6)*(0 + -9). Calculate the highest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) - ((sqrt(1573)*-1)**2 + sqrt(13))) - sqrt(26)\/(sqrt(12)\/sqrt(6)*4).\nAnswer: -9438 - sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from duuuduuudud. Give prob of picking 2 d and 2 u.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*g*s**2 - g*s - 32239*g - 7813*s**2 - 2*s - 5 wrt s?\nAnswer: 128*g - 15626","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)\/sqrt(6)*-6 + 0)*-3*-1.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*t - 294 + 2243 = -3829 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - d + 4*d. Let o(j) be the first derivative of 6*j**2 + j + 172. Calculate i(o(u)).\nAnswer: 24*u + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fhzrnih. Give prob of sequence hfhi.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24735.08um to millimeters.\nAnswer: 24.73508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 21*z**2 + 54*z - 296. Calculate l(17).\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 31757692 less than 0.1?\nAnswer: -31757691.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 32. Suppose -30 = 3*c + d. Let n = 47 + c. Calculate the remainder when 110 is divided by n.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*x = -11, -4 + 3 = -5*r + 4*x. Let f = r - -3. Suppose -a - 3781 + 16881 = f. Round a to the nearest one thousand.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17931271?\nAnswer: 191, 269, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 5)\/(1\/11). Calculate the remainder when 59 is divided by (36 - n)*(-4)\/(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 181\/836 - -7\/209. What is the nearest to 2 in -5, 26, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -251596983\/7 <= -35942427?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cb54 - 2?\nAnswer: -cb56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -8. Let l = 4 - k. Let t = -3.47176 - -2.47176. Sort 5, t, l in descending order.\nAnswer: 5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3043 or 3008?\nAnswer: 3043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n - 6. Calculate u(1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -454*j**4 + j**3 - 1 - 4*j**2 + 232*j**4 + 261*j**4 to the form r*j + b*j**4 + w*j**3 + c + d*j**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -27, -32, -21, 12?\n\"Answer: m**3 - m**2 - 19*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 212161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -2463 bigger than 0.1466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 315 + -160. Calculate the highest common factor of q and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**4 - 5*y**3 - 2*y + 8. Let j(f) = -f**4 - f**3 - f + 1. Let p(i) = -5*j(i) + m(i). Find the second derivative of p(r) wrt r.\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.073 - -0.273. Put -2, -1\/6, g, 0.06 in decreasing order.\nAnswer: g, 0.06, -1\/6, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*a + 568 = 575, 5*a - 17 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of 1\/105*g**7 + 1\/3*g**3 + 3*g**2 + 0*g**4 + 0 + 0*g**6 + 0*g**5 + 0*g. Differentiate y(k) with respect to k.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20022002111 (base 3) to base 11.\nAnswer: -85185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - 14\/6*-3. Suppose 36 = 8*h - f*h. Calculate the remainder when ((-4)\/26 + (-799)\/(-39))*h is divided by 37.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7477554, 7477553, 7477552?\nAnswer: 7477551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -2*j**3\/3 + 16*j**2\/3 + 518*j\/3 + 2156\/3 = 0.\nAnswer: -7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 190754423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * 10.88.\nAnswer: 2.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 5.569443ml?\nAnswer: 0.005569443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/9 + (-2434)\/(-18). Suppose -2*m - m = -3*h + c, -4*h - 5*m = -171. Let y = -77545 + 77561. What is the remainder when h is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 + -801084003?\nAnswer: -801083934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bjegkegggg. What is prob of sequence gbge?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(2\/7)*w*w*w**6)\/(w**(-1))**(10\/7)*w**(-4)*w*w\/w**(-2)*w*(w\/(w\/(w\/(w*w**(-5)))*w))\/w*w*w**(2\/3) assuming w is positive.\nAnswer: w**(332\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 - 182. Let w = b + 97. Suppose -2*x - 3*l = -158, 5*l = w*l - 6. What is the greatest common factor of 19 and x?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 954 = -678. Which is smaller: t or 198?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 214001.7ng to milligrams.\nAnswer: 0.2140017","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12407?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-6) - (-1)\/(-12). Let k be ((-8)\/12)\/((-4)\/3). Factor i + 1\/4*z**2 + k*z.\nAnswer: (z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 57 = -3*v. Let h be (-36)\/v + 1\/(-4). Let m(d) be the first derivative of -2*d**2 - 2*d + 1. Let n(j) = 16*j + 9. Give h*n(l) + 9*m(l).\nAnswer: -4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19916 - 19905. Let j be -7 + 259 + 0 + 1. Calculate the greatest common factor of j and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -30*-1*(-2)\/4. Let i be 125\/(-10)*18\/f. Is 15 a factor of (9\/i)\/((-3)\/(-375))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 + 78?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 455905020 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 3\/5 (b) 0.1 (c) 1 (d) 0.14 (e) -246 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 22, -4, 3, 4 in decreasing order.\nAnswer: 22, 4, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -25667485 < -25667485?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 376*i = 54*i + 4570 - 1672 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 3*o - 1. Let v = -16 - -77. Suppose 12 = 59*s - v*s. Is 6 a factor of r(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -71*t + 51. Let i be w(12). Let c = i - -1159. What are the prime factors of c?\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74341831 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t + 10. Let d be b(-7). Let p = d + 1. Suppose 4\/3*k**3 + 0*k**2 - 2\/3*k**p + 2\/3 - 4\/3*k = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4209 - 248. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 160, 441, 854, 1399, 2076, 2885?\n\"Answer: 66*d**2 + 83*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -10330?\nAnswer: 3\/10330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000075415 rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 1 + (-18 - 10) - (1 - (-83 + 3)).\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + -5. Suppose 2*v = 5*v - 3*g - 84, y*v + g = 47. Let c = -15 + v. Calculate the remainder when 19 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (4 + -11) - 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1509, -6202, -14233, -25770, -40981, -60034, -83097, -110338?\nAnswer: -141925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61.764 - -96.27. Round k to the nearest integer.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4467 a factor of 92569641?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 24401323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -33911 divided by -5?\nAnswer: 33911\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-10)\/(-65) + (-6485)\/(-13).\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oc when two letters picked without replacement from {h: 1, c: 4, n: 5, o: 4, r: 6}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cx when two letters picked without replacement from {j: 1, p: 1, z: 1, c: 1, x: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14)\/((-1)\/2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 32*p**2 - 4*p - 3. Suppose 4*w + m + 9 = 0, -2*m = -w - 0*m. Let f be k(w). Round f to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 641a - -1a?\nAnswer: 6439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/162)\/(96\/18 - 5)?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -32.75475528 + -2.\nAnswer: -34.75475528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721 + 754 = -11*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5833063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -19591765.\nAnswer: -4\/19591765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 2283*g**7\/7 + 1886*g**3\/3 + 749. What is the third derivative of n(i) wrt i?\nAnswer: 273960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -2. Let f be (2\/(-5))\/(1\/(-5)). Let i = f - p. Which is greater: 1\/2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205571166 by -3.\nAnswer: -68523722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**4\/7 + 180*v**3 - 25618*v**2\/7 + 3480*v = 0.\nAnswer: 0, 1, 20, 609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**4 + 5*n**4 + 0*n**4)*(-1 + 4 + 6).\nAnswer: 90*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2464 and 60599?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*n = 2*n + 14367 - 2991. Solve -8 = n*x - 308*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0, -145813.\nAnswer: -145813, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*g - 177 = -5*k - 202 + 295 + 430, 5*k = -1 - 14 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 5*v**4 + 240*v**3 + 2875*v**2 - 240*v - 2880 = 0.\nAnswer: -24, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -8 - 29946*y + 29947*y - 7. What is h(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-14)*(-16)\/192*-12.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 2*l = 14, -2*l + 5*l = 3*j - 9. Calculate the remainder when (-86)\/(-2) + j - -1 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572127243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 39*q - 14. Calculate w(12).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 10:02 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/36*156\/130)\/(28\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1644098\/3 or -548033?\nAnswer: -548033","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 9*p**2 + 11*p + 3. Let n(d) = 4*d**2 + 6*d + 2. Let j(h) = -5*n(h) + 3*u(h). Let o be 6*(-3 - 5\/(-2)). Is j(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -123322231223111?\nAnswer: 123322231223111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -30\/119 and -23\/3689.\nAnswer: 3689","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 315 - 273. Let y be 16 - ((3 - 0) + -1). What is the highest common factor of r and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 + 260*d**3 + 51983*d**2 + 1500730*d\/3 + 1185800.\nAnswer: (d + 4)*(d + 6)*(d + 385)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -4*w**6\/57 - 58*w**5\/95 - 75*w**4\/38 - 170*w**3\/57 - 41*w**2\/19 - 12*w\/19 + 71. Determine k so that g(k) = 0.\nAnswer: -3, -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287857533371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -19. Which is the second smallest value? (a) g (b) -0.4 (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5128094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 2*o**2 + 14*o + 40. What is n(-3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 16, -0.19, 10\/33, 2\/5.\nAnswer: -1\/3, -0.19, 10\/33, 2\/5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6993 = -1373*a + 1262*a for a.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -2445*k**4\/2 + k**3\/3 + 46*k**2 - 82*k. Let b be t(-11). Round b to the nearest 100000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 + 6 + (-5 - -15)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 299288?\nAnswer: 2, 11, 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 9216672 to the power of 1\/2, to the nearest integer?\nAnswer: 3036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111 - -136. Suppose 384 = -21*q + x*q. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*m - 86637 = -88365 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (25\/10)\/(-5)*4\/(-8)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 21 (b) 12 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*g + 22 = -8*g - 5*h, -4*h = -3*g + 22 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 3*l + l)*(l - 7*l + l)*(2 + 0 + 0).\nAnswer: 30*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 - -7.1. Put 1\/6, 0, z in increasing order.\nAnswer: 0, z, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112440 - 1432?\nAnswer: -114422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 20*l - 19*l + 12, 0 = w - 2*l + 4. Let j = -0.1 + 0.3. Let g = j - 0.1. Sort -2\/23, w, g in increasing order.\nAnswer: -2\/23, g, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 12:35 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -193\/850 - -5\/34. Let n be 1\/2*(1 - (4 + -4)). Which is the nearest to 2? (a) -2\/13 (b) s (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993416.92 rounded to the nearest 10000?\nAnswer: 2990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -814.52 + 813.420094. Let o = -1.1 - y. What is o rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -40 - -4d0?\nAnswer: 490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 284789881 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -17.7. Let k = -11 + 1. Let p = 5 + k. Put p, -1, v in descending order.\nAnswer: v, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 536\/63 + -74\/9. What is the nearest to 2\/5 in -1, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942.8493 decades to centuries.\nAnswer: 94.28493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -17. Sort a, -0.2, 2\/5.\nAnswer: a, -0.2, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -0.2 (c) 1\/12 (d) -25 (e) 365\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112640 - 4523?\nAnswer: 105114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3*m**3 + 7*m**2 - 5*m - 1. Let f(q) = 2*q**3 - 6*q**2 + 6*q + 2. Let y(a) = 6*c(a) + 7*f(a). Factor y(x).\nAnswer: -4*(x - 2)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23352, -46706, -70060, -93414, -116768, -140122?\n\"Answer: -23354*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddddddd. Give prob of sequence dd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-6) + (637\/(-14) - -12) + 12.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -99, 9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h - 5. Let d(n) = -n - 3*n + n - 1 + 5. Let i(q) = 5*d(q) + 4*m(q). Let s(x) = x - 2. Let a(z) = -z + 1. Let g(o) = 2*a(o) + s(o). Give i(g(y)).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*c + 24187 = -963*c - 25205 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250 = s - 4*g, -3*s - 3*g + 266 + 484 = 0. What is s rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99750?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a kilometer in meters?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10\/4)\/5)\/((14\/294)\/(968\/308)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 1. Let r = 20 - b. Solve -2*i + 3*q = 17, 3*i - 2*q = -i - r for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/140297 and 7\/5.\nAnswer: 701485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -16.3 and -0.14.\nAnswer: -16.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**5*u + 586*o**4*u**2 + 17*o*u**2 - 12*o wrt o.\nAnswer: -60*o**3*u + 7032*o**2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9520?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-3))**16*u*u*(u*u*u*u**(-10))\/u*u*u\/(u*u*u*u**(-7)*u)*u assuming u is positive.\nAnswer: u**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*m**2 + 2*m + 0*m - 6*m**3 - 3*m**2 to i + t*m**3 + l*m + n*m**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i + 6. Let k be l(4). Suppose t + k*t = -153. Let x = -29 - t. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*f + 56*f - 171*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-24) - 7\/(-63).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 152 (base 8) to base 3\nAnswer: 10221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 1. Let l(r) = -7*r**2 - 8. Suppose -8 = -2*i, 0 = 6*s - 5*i + 38 - 12. Give s*l(x) - 2*q(x).\nAnswer: 7*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/22, -1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20288?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77792*u**3 - 7*u + 25932*u**3 + 25926*u**3 + 25932*u**3.\nAnswer: -2*u**3 - 7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469 is divided by 70.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/21 or 14986?\nAnswer: 14986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2940968 is divided by 1557?\nAnswer: 1352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (-9 - -1)) + 19.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.2, -0.017, -1\/2, -1318?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (6*3\/(-18))\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4*f + 11 = -w, 0 = w + 2*f + 5. Let j = w + 4. Sort -1, j, -4 in ascending order.\nAnswer: -4, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 2*j - 2. Let n(k) = 3111*k - 2562. Give -2562*d(z) + 2*n(z).\nAnswer: 1098*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5693912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3340224 (base 7) in base 10?\nAnswer: 413088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**3 - 2*m - 22*m**3 - 19*m**3 - 3*m**3.\nAnswer: -36*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/24*(-18)\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*r**3 + 7 + 113*r**3 - 13*r**3 - 49*r**3.\nAnswer: 4*r**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2488167800 and 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8144*l*s**2 - 43*l - 28*s wrt s.\nAnswer: -16288*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*q**3 - 17 - 3*q**2 + 54*q**3 + q**2 in the form m*q**2 + g*q + s*q**3 + v and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 38. Which is the nearest to -0.1? (a) -3 (b) 0 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -3*h - 0*h, -20 = 5*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.30834ng to kilograms.\nAnswer: 0.00000000003330834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 166?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, r: 2}. Give prob of picking 2 d.\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -3.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -754, 5, 1\/16, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 - 11 = -4*l - 15 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 460 + -231. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -3*f - 16, -w + 3*w + 0*w + 238 = -59*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/((-420)\/(-8)) + 1612\/60. Suppose -q*y = -25*y - 28. Solve y = 4*g - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 735 - 424. Suppose r - 316 = -p. Solve 0 = -p*w - 2 - 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/26 - (770\/(-65) + 6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 446387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.05173148\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -25\/19, -2, -1\/9 in increasing order.\nAnswer: -2, -25\/19, -1\/9, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + y - 12. Let w(u) = y - 13*u - 4 + 12*u. Let p(f) be the second derivative of 5*f**3\/3 + 9*f. Give w(p(r)).\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9724 to 2 decimal places.\nAnswer: -0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 130 = 89*q + 129, 3*q + 1 = -2*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 1613*v**2 - 5*v - 6. Let r be p(-1). Let u = r + -316. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31136 = 20104*l - 21077*l for l.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/42052 and -47\/84104.\nAnswer: 84104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/9 + 377\/(-45). Let q be 948\/80 - 4\/1. Let c = l + q. Which is bigger: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79138178 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (632\/(-12))\/2*-1. Let n = p + -161\/6. Let f = 1 + -0.6. What is the third biggest value in -1\/8, n, f?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 4:16 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4\/2 + 61*d**3\/2 + 173*d**2\/2 - 61*d\/2 - 87 = 0.\nAnswer: -58, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -5*m + 5, 30 = -4*o + o - 5*m for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-3))**20)**(-40) assuming u is positive.\nAnswer: u**2400","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-228)\/532*(-8)\/108)\/(20\/7))\/(-1)?\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 8*l**2 + 8*l + 12. Let h be g(9). Suppose -4*i - 9 = -2*s + 3, h*i + 6 = 0. Solve 3*u - s = 4*p + 18, -4*p - 5*u = -12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-10))\/(2\/4)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 36. Which is the closest to 2\/5? (a) -4 (b) d (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1122327 + 677068109.\nAnswer: 678190436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 6032703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001101111 (base 2) to base 14.\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 3233893?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttbttttbttb. What is prob of picking 1 t and 2 b?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78199\/10 - 7832. Let q = -1805\/74 + -86\/111. Find the common denominator of q and b.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.724355 rounded to 1 decimal place?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 59861.55ml in litres?\nAnswer: 59.86155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 214813 a multiple of 257?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -6196\/259159?\nAnswer: -6196\/259159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 3936*a**2. Let o(f) = 2*f. Calculate x(o(v)).\nAnswer: 15744*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3100 + -3098. Calculate the smallest common multiple of r and ((-22)\/4)\/((-1)\/2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (31\/((-8370)\/72))\/((-4)\/(-10)). Which is bigger: c or -0.02643?\nAnswer: -0.02643","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 110*v**4 - 6*v**2 - 2871?\nAnswer: 440*v**3 - 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7408 and 13872.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2880) + 2)**2 + sqrt(2880) - (-3 + (sqrt(2880) + 0 - sqrt(2880))**2).\nAnswer: 120*sqrt(5) + 2887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 646*t**3 - 52*t**2 - 47*t + 23. Let i(r) = 430*r**3 - 33*r**2 - 31*r + 15. Let s(h) = -11*i(h) + 7*j(h). What is the second derivative of s(z) wrt z?\nAnswer: -1248*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200220010121 (base 3) to base 4.\nAnswer: 1122302233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 293 - 41. Let u = h + -18. Let k be 1\/(-3) - (-158)\/6. What is the greatest common factor of k and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 20*i + 42. Let w be c(18). Suppose 5*o = -2*l + 6367, -l = -w*o + 11*o - 3176. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32914 by 14.\nAnswer: -2351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4803 or -27\/13?\nAnswer: -4803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 88*l + l**3 - 5*l**3 - 2*l**4 - 87*l to the form a*l**2 + h*l**4 + s*l**3 + q*l + d and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 16 + (-40 - -24) + -3 + 60.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*((-4)\/(-180))\/(12\/120).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20.56*-0.2.\nAnswer: -4.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 769237 by 769237.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13*o**3*z + 30327*o**3 - 10*o**2*z + o**2 + 2*o*z - 16*o + 45*z + 4 wrt o?\nAnswer: 78*z + 181962","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 3*m + 19. Let w be a(-4). What is the second derivative of 1051*j - 1032*j + 0*j**5 - w*j**5 wrt j?\nAnswer: -460*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 36 + 16 + 37)*(2 - 2 - 2*z).\nAnswer: -138*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.027*-3.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 5*n + 10 = -5*l, 0 = -l + 2*n + 4. Let 0 + 2\/3*d**4 - 4\/3*d**3 + 0*d**2 + l*d + 2\/3*d**5 = 0. What is d?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k**2 - 6*k**2 - 2*k**3 - 6 - 7*k - 2*k**2. Does 23 divide c(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + (sqrt(153) - (1*sqrt(153) - sqrt(153)))*-5 - sqrt(153) - sqrt(153))\/sqrt(9)*3.\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fgjs when four letters picked without replacement from {s: 1, g: 1, j: 1, f: 2}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 46792442 to the nearest 1000000.\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 100969 = 40*u - 599839. What is the hundreds digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23808 and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2288*p**2 + 22535*p + 239693061?\nAnswer: 4576*p + 22535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yh when two letters picked without replacement from {y: 1, h: 4, g: 2, q: 6, v: 3}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 1219\/1383?\nAnswer: 1219\/1383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 504064.2l?\nAnswer: 504064200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5276 is divided by 1658?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 25\/279 or -2.23?\nAnswer: 25\/279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1700, 1773, 1890, 2051, 2256?\nAnswer: 2505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -711 * -136.83\nAnswer: 97286.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 i when two letters picked without replacement from iwiqwoiwii.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46109.91 - 46081.51559. Let z = q + -28.4. Round z to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, l: 2, m: 7, g: 1, n: 5, q: 1}. Give prob of sequence lntl.\nAnswer: 1\/5712","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 t when three letters picked without replacement from utupt?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 4) + 2 + (6 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6499008\/297 - (5 + (-265)\/55)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 41*v**3 - 5*v**2 - v + 2. Calculate j(-1).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14086 + -126110\/9. Let u = t + -3131\/45. Is u at least 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 228220099?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 190*b**2*k**2 + 21*b*k**2 - 3*k**2 wrt b.\nAnswer: 380*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -48*o + 1. Let z(h) be the second derivative of h**5\/30 + 29*h**2 + 77*h. Let m(r) be the first derivative of z(r). Give v(m(g)).\nAnswer: -96*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 676, 1025, 5.\nAnswer: 5, 25, 676, 1025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*y - 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1830 and 1820.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 24 in 1, 23\/121, -1.42?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 44.672 + -3.672. Are -3\/67 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-32)*1104\/(-138)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**2 - 5*d - 5. Let b be c(6). Suppose 5 + 5 = 2*n + 3*l, 2*l = -2*n + 8. Let k(t) = -6 + 2 + 6*t**3 + 5 - 2*t**n. Determine k(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 344.928 micrometers to centimeters.\nAnswer: 0.0344928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 6*r**2 - 2*r - 8. Let k be q(-6). Let b = -219 - -307. Suppose 0 = 28*g - 32*g + b. Solve -k*y + 14 + 0 = 2*v, 0 = 4*v - 2*y + g for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 2:23 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 32 = 224. Suppose -c - 4*t - l = -2*c, 2*c = 4*t + 28. Put -3, c, -1, 5 in descending order.\nAnswer: 5, c, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 190*i**2 - 5*i + 17. Let z(y) = 381*y**2 - 11*y + 31. Let s(x) = -7*j(x) + 4*z(x). List the prime factors of s(-3).\nAnswer: 2, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 8318*t + 55329. What is x(-7)?\nAnswer: -2897","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3*b - 10, -2*j - 5*b + 3*b + 4 = 0. Let z = -14 + -34. Let o be z\/30 - j*1. What is the smallest value in o, 1\/5, -2\/9?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 12*o + 2. Let f be p(0). Solve -3*h = -f*c + 17, -h + 5 = 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1758, -3519, -5280, -7041, -8802, -10563?\nAnswer: -12324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/12 and 3\/485830.\nAnswer: 2914980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is b44 (base 13) in base 8?\nAnswer: 3573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -5*r**9\/3024 - r**5\/10 - 3*r**3 + 9. Let x(n) be the third derivative of q(n). What is the second derivative of x(y) wrt y?\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2 - 102*g = 0.\nAnswer: 0, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(-55)\/(-15) + (12 - 18). Solve 2*v + 4*g + j = -5, 0 = -2*v - 3*g - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 14902061476*g**2 + 32227536*g + 17424 = 0.\nAnswer: -66\/61037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -4*o + 45. Is r(7) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 3, 4*d = -2*i + 5319 + 6207. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 8 = -s. Calculate the remainder when 22 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 - -27. List the prime factors of t\/7 - -4*2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z. Let t(a) be the second derivative of -a**4 + 95*a. Give t(g(u)).\nAnswer: -192*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11 and (-792)\/(-5) - 5\/75*6?\nAnswer: 1738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3 + sqrt(39)\/sqrt(3)*3).\nAnswer: -6 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 513731 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 times -12688?\nAnswer: 1027728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 151*x + x**2 - 151*x - 4*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3179478353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -10. Suppose 19 = 6*b - 17. Let z be 125\/(-15)*b\/(-2). Solve 5*w = 5*n + z, n - 3*w + f + 1 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 9 = -7*i + 4*i, -3*x - 3 = i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m - 3. Let p(c) be the second derivative of -c**5\/20 - c**3\/6 - c**2\/2 - 1002*c + 2. Let g = 4 - 3. What is g*r(v) - p(v)?\nAnswer: v**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 75 = 5*d - 5*z, 0 = 2*d + 2*z - 30. Solve 3*h + 2 - d = -3*y, -4*h + 21 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 38.55 in 4, 1\/4, -4\/7, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 14226098, 14226100, 14226102, 14226104, 14226106?\n\"Answer: 2*p + 14226096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 29*i - 42. Let b(j) = 6*j**2 + 94*j - 134. Let s(q) = -5*b(q) + 16*l(q). Let h be 2\/(-3) + (-34)\/(-6). Give s(h).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**4\/2 - 204*s**3 - 1671*s**2\/2 - 630*s = 0. Calculate s.\nAnswer: -3, -1, 0, 140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1044*v - 1052*v + 3128*v - 1034*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1761289*i + 1662426?\nAnswer: 1761289","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 14 - 6 = 0. Find the second derivative of -u**5 + s*u**4 - 43*u - 15*u**4 + 0*u - 17*u**4 wrt u.\nAnswer: -20*u**3 - 264*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2012.1 + -1906. Let a = 101 - w. Let j = a + 5. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-39)\/(-12) - 3\/12. Suppose 47 = k*f + 8. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 14 (b) 1\/29 (c) -0.022\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125, -523, -1165, -2033, -3109, -4375?\nAnswer: -5813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -8452, -16903, -25354, -33805, -42256?\n\"Answer: -8451*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minus 403128935493?\nAnswer: -403128935449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a + 27 + 685 = -64*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*-2 + -1 + 177 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 76\/851175 and 119\/3745170?\nAnswer: 18725850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.3149334 and -1.\nAnswer: -2.3149334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-14149460\nAnswer: -5659784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15 + -3)*(-5 - -4). Let o be (-2)\/(-6) + -16*(-3)\/v. Let t = -8.89 + -0.11. What is the third biggest value in o, t, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87666715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1490\/(-51) - (2190\/(-170) + 13) - 32\/(-24).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t - 41*t = -455. Solve -2*d - w + 5 = 0, 3*w = -t*d + 4*d + 15 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 12343.9 and -50203.51.\nAnswer: -37859.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 - 13. Suppose d + j - 25 = 0. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-152)\/(-190))\/(-4))\/(18\/(-5)).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 112, 112, 110, 106?\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 157*j**2 - 4*j.\nAnswer: 157*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 21, -13, -7, -1 in decreasing order.\nAnswer: 21, 1, -1, -7, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 79?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 66460*b**2 + 199345*b - 132890.\nAnswer: 5*(b - 13289)*(b - 2)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((5\/2)\/(710\/(-2556)))\/((-6)\/14).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 224\/(-12)*2823\/6587?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -561.6 at least as big as 2\/73?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 5*u**2 + 8*u - 3. Let w(g) = 6*g**2 + g - 1. Let i be w(1). What is the units digit of l(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssi when three letters picked without replacement from {s: 3, i: 3}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*z + 50*r - 54*r, -4*r + 8 = -5*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/(-3))\/10*4\/20?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100 - 10?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/28728 and -76\/6891.\nAnswer: 65988216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 w, and 1 v when three letters picked without replacement from twvrpppppwtkttp.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 = 4*y, -33*y - 2*y = 4*f - 31*y + 17 - 177 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -66?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -h**3 + 166. Let d(b) = 5*b + 3. Let u(m) = 5*m + 2. Let i(c) = 2*d(c) - 3*u(c). What is r(i(y))?\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 61.09425 minutes?\nAnswer: 0.0060609375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (47\/(-2))\/(3\/6). Let o be (-12)\/7 + (-14)\/s. Is -24\/7 at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 565249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b. Suppose 0 = -f + 5*x + 24, -3*f + 3*x + 7 + 5 = 0. Let r be ((-20)\/150 - 43\/15)\/3. Let i(s) = 5*s**2 + s. Calculate f*q(a) + r*i(a).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49 * 15.\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -82. Suppose -21*j + u*j + 70 = 0. Sort -3, -4, j.\nAnswer: -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2, -0.04, -5, -4715 in decreasing order.\nAnswer: 2, 0.4, -0.04, -5, -4715","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*a - 7*a + 6*a + (-2 - 2 + 2)*(-4*a + a + 2*a).\nAnswer: 5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 5 = y. Let n(c) = -c - 6. Let i = -10 - -20. What is the least common multiple of i and n(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -395, -98, 197, 490, 781, 1070, 1357?\nAnswer: 1642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 0)*((-2 - 2*k + 2)*(-2 + 0 + 0) + 2*k + 2*k - 6*k + 5*k + 16 - 6*k + 3*k + (3 - 3 + 2*k)*(-5 - 2 + 1)).\nAnswer: 32*k - 64","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*1*-2)\/sqrt(384).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 + 5*w - 5. Let c be t(-5). Let p(o) = 181*o - 11. Let f(h) = 454*h - 21. Let b(g) = -2*f(g) + 5*p(g). Let i be b(c). Solve 0*k + i = k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3*s**3 + 5*s**2 - 2*s + 3. Let c(m) = -m**3 - m**2 - m. Let n(g) = c(g) - h(g). Let u be 2*(4 - 8) + (-24)\/(-2). Calculate n(u).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**3\/3 + q**2\/2 - 17*q - 8. Suppose 4*j - 5*t + 49 = 0, 4*j - t + 10 = -19. List the prime factors of l(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n**3 - 3*n**4 - 2*n**3 + 4*n**4 - 2*n - 7 to the form l*n + u*n**4 + j*n**3 + t + a*n**2 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 3:14 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1996 less than or equal to -1958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -192*t - 445. Let c(q) = -959*q - 2227. Let j(u) = 2*c(u) - 11*f(u). What is the first derivative of j(p) wrt p?\nAnswer: 194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w**3 - 40*w**2 - 12*w - 28. Determine h(-20).\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001333040 (base 5) to base 13.\nAnswer: 544541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2680 and 48240?\nAnswer: 48240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -211112200 (base 3) to base 9\nAnswer: -24480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r - 6. Let g be d(-6). What are the prime factors of (-22)\/(-2)*1 - g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 280\/300*-15 - (-255)\/((-30)\/(-6)).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(720) - (3 + sqrt(720))*-1) + (sqrt(605)*-1 + 2)*6.\nAnswer: 24 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*h + 3*c + 15, -5*c - 25 = -3*h. Let w be 24\/(-10) + 5 + -3. Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.3353 to two decimal places.\nAnswer: -4.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.13+-0.012\nAnswer: 0.118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -236 or 3?\nAnswer: -236","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.74? (a) 2\/635 (b) -21 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -215, -216, -217, -218, -219, -220?\n\"Answer: -n - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from mmfsmmmffmfmmffffs.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -5*k**2\/4 + 318033840*k - 20229104677029120 = 0.\nAnswer: 127213536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20057 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*z**2 + z**4 - 3*z**4 - 2*z**4 + z**2 wrt z?\nAnswer: -96*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 1\/24 (b) 0.01 (c) -0.102\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3204 - 3129 = -3*o, -4*d + 5*o + 265 = 0. Calculate the lowest common multiple of 816 and d.\nAnswer: 4080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11017145639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 58\/21797?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**2\/q**(-2))\/(q**(4\/9)*q**(-3)))\/(q*q**(-5)*q**0*q*q**(-2)*q**(-6)\/q) assuming q is positive.\nAnswer: q**(167\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1055533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.406 and 899 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 b when four letters picked without replacement from {f: 1, v: 2, b: 2, a: 1, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2446384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23060202*r**4 + 81175288*r**2.\nAnswer: 553444848*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(-726)*11*(-8)\/8?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27839 - 194877\/7. What is the smallest value in -1\/4, 694, o, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 20. Let u be d(0). Let p be (u\/(-6))\/((-26)\/(-39)). Let q be 2 + 1780004\/(p + 3). What is q rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**5\/20 - a**4\/3 - 5*a**3\/3 + 5*a**2 - 16*a. Calculate the smallest common multiple of 6 and l(6).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 5)*(-2*l + 0*l + 3*l) + (-2 - 4 + 4)*(4*l - 3*l + l) - l + l - l + 0*l + 2*l + 0*l to h + g*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 20.6 (b) 3\/5 (c) -1\/3 (d) 1 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 2152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0419+-0.8309\nAnswer: -0.8728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*sqrt(13) + -5 - 3*((-1*sqrt(1573))**2 - sqrt(13))) + 5.\nAnswer: -4721 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 31*a - 2 - 6*a - 6*a - 4*a - 8*a. Give p(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzprrzrzzzzp. What is prob of sequence zpz?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27962 and 10373.\nAnswer: 643126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 + 1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*m - 2*d + 5*d, -d + 2 = 0. Let y be (12\/(-5) + m)\/(8\/(-10)). Is y at least as big as 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1072 - 1072 + a.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-369*r + 16*r**2 + 369*r)*(17*r - 6*r + 31*r).\nAnswer: 672*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((2*(sqrt(19) + -2)**2 - (2 + sqrt(19) + -2)**2) + -1).\nAnswer: -8*sqrt(19) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.8520006 + -16.3225.\nAnswer: -17.1745006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, x: 7, z: 2, m: 2, f: 4, q: 1}. Give prob of sequence mzz.\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**4\/12 + 7*k**2 + 3*k. Let j be ((-3)\/(-4))\/((21\/56)\/(-3)). Let t be 2\/(-10)*(-6 - j). Give m(t).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45713455 (base 8) to base 5.\nAnswer: 10020402022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -931*q**5\/30 - 3341*q**4\/24 + 4*q**2 + 119. What is the second derivative of j(b) wrt b?\nAnswer: -3724","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * -0.1078716.\nAnswer: 3.8833776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1590)\/954)\/((-340)\/(-6))?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 255*p. Let f(j) = 639*j. What is f(r(c))?\nAnswer: 162945*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1428?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -211201 - -11112022022120?\nAnswer: 11112021110212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 7. Let l be x(0). Suppose -l*k = -5*k. Suppose 10 = 3*i - k*a - a, -i + 10 = 3*a. Put 5, -4, -5, i in increasing order.\nAnswer: -5, -4, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6*a = 2*p + 17, 0 = -5*a + 5*p - 10. Let t be (969\/(-38))\/((a\/8)\/1). Factor 3 - 3 + 9*d**2 + t*d**3 - 6*d - 53*d**3.\nAnswer: 3*d*(d + 1)*(5*d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 213 - 194. Do f and 20 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 + 85 + 80)*(-67*d**5 + 88*d**5 + 52*d**5).\nAnswer: 3723*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0228 * -2.37.\nAnswer: -0.054036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31.6 - 26.6. Which is the smallest value? (a) y (b) -81 (c) 1 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -718 + 2205. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**3 - 10*k**2 + 22*k - 442. What is a(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 144252529 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 24.282?\nAnswer: 4.8564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (3 + sqrt(117) + sqrt(13)))*-1 - sqrt(104)\/(sqrt(968)*2 - sqrt(8)))**2.\nAnswer: 124*sqrt(13)\/7 + 53941\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) 8\/5 (c) 1\/5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.221843.\nAnswer: 0.0887372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1856.98506 to the nearest 10.\nAnswer: -1860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h + 12. Let f be o(5). Suppose 4*z = f*l - 4580, -z = -3*l - 2256 + 9121. Suppose 0 = -10*m - 638 + l. List the prime factors of m.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 7305136?\nAnswer: -7305132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*(x**(-4\/3)*x)\/x))\/(x\/(x\/x**(3\/10))*x))\/(x**(2\/7))**(-11\/5) assuming x is positive.\nAnswer: x**(349\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/(-6))\/((-1)\/(6\/(-3))). Suppose a*v = 3*v - 16. Calculate the lowest common multiple of 8 and -4 + 12 + v\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.049926?\nAnswer: -0.24963","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-33)\/(-132) + 3163*356\/16 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2372, 2371, 2370, 2369, 2368, 2367?\n\"Answer: -z + 2373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -27*p + 245. Let x be g(9). Solve -5*z = -4*i + 35, -i + 2*i = x*z + 11 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 7 - 1 - (-50 - -47)) + -1857 + 1804\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 5*a + 4. Suppose 2*c + 2*c = 3*r - 18, 6 = -3*r. What is the tens digit of b(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Suppose -5*z + p = 30. Let i be (-3 - z - 5)\/(-2). Are -6 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 10. Let g be i(-9). Let c(z) = -z**2 - z. Let k(f) = 2*f**3 + 2*f**2 + 2*f - 2. Calculate g*k(o) - 2*c(o).\nAnswer: -2*o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(336\/(-480))?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 7*q + 3. Let z be l(5). Let m be (-2 - 1)*z\/(-21). What is the nearest to m in 4, -1, 1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/4 of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 7 = -3*q - 2*w, 5*w = -5*q + 15. Let n(t) = -t - 3. Let b be n(5). Let h = 6 - b. Calculate the remainder when h is divided by q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 14*a**3 + 9*a**2 + 2. Suppose -7*w = -0*w - 35. Let r(i) = -7*i**3 - 5*i**2 - 1. What is w*r(p) + 3*z(p)?\nAnswer: 7*p**3 + 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 44154 - 5?\nAnswer: 44145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tpnn when four letters picked without replacement from {p: 1, n: 3, t: 11}?\nAnswer: 11\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 29*p**3 - 13*p**2 + 18*p - 1. Is k(6) a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -122 + -1?\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 14 + -8. Let p(r) be the first derivative of r**4\/2 - 11*r**3\/3 - 2*r**2 - 2*r + 114. Let c be p(d). Sort -2, c, 3 in increasing order.\nAnswer: -2, 3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/7 (b) 3\/2 (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-635 + 295 + 937)*(-2*k**2 - 1 + 1) in the form w + d*k + a*k**2 and give a.\nAnswer: -1194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 969.1529 minus 11679?\nAnswer: -10709.8471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41853 divided by -1.\nAnswer: -41853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 483dbe (base 16) to base 12.\nAnswer: 1703992","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = q + q. Suppose -q - 12 = -3*b. Let n be b + 1 + -1 + -1. Solve -2*m = 3*x - 10, 2*x + m + 6 = n*m for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mn when two letters picked without replacement from {m: 1, v: 1, n: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 67*l - 4448. Let k be v(67). Solve -6*h + 35 = k for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*u + 145*u + 221*u)*(6*u + 3*u + 3*u).\nAnswer: 4596*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2 = -6. What is the third derivative of 5*s**4 + 12*s**2 - 2*s**4 - s**2 + 8*s**l wrt s?\nAnswer: 264*s","meta":{"dup_signals":{},"source":"calculus__differentiate_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: Let o(f) = -11*f - 73. Is 32 a factor of o(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 237428 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4\/7, -1\/6, 4\/3, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 97*n**2 - 1. Let u(i) = -i**3 - 2*i**2 - 2. Let r be u(0). What are the prime factors of o(r)?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 504 is divided by 113?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 - 3*w**2 + 2*w. Let i(a) = -5693*a**3 - 18*a**2 + 10*a. Determine i(u) - 6*z(u).\nAnswer: -5705*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 30956299.04 to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39388214?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/10)\/((-53508)\/12740)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l\/l**(-4))\/l)\/(l*l**(-1\/6)*l))\/((l**(-1\/2)\/l)\/((l\/(l\/l**3))\/l)))**(-18\/5) assuming l is positive.\nAnswer: l**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56062.46l to millilitres.\nAnswer: 56062460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*i**2 + 15*i**2 - 48*i**2 - i**2.\nAnswer: -42*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 5*g - g - 20, 0 = g. Let h(w) be the third derivative of w**4\/24 + w**3\/6 + 2*w**2. Let o be h(7). Solve -c*t = o - 33 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 92 + 98 = 0. Suppose 0 = -5*q + q + 2*v + y, -4*v + 1 = -q. Let s(c) = c**2 - 17. Calculate the remainder when s(-7) is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**5\/3 - 5*w**4\/3 - 13*w**3 + 3*w**2 + 54*w.\nAnswer: w*(w - 9)*(w - 2)*(w + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 5:35 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17087 - 7436. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 139 - 131. Let o = 121 - 113.1. Let u = t - o. What is the nearest to u in 1, -0.4, -3\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, e: 4, v: 1, s: 2, m: 2}. 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 t(r) = r**3 + r**2 - r + 1. Let w(m) = -3*m**3 + 5*m**2 + 14*m + 16. Let d(y) = 4*t(y) + w(y). Let v be d(-8). Solve 0*a = v*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51 and 4.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35 and 585?\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4*sqrt(117) + 0 + -2 + sqrt(13)*-2 + 0)**2.\nAnswer: -240*sqrt(13) + 7824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -13*g - 77. Let r be z(-6). Which is the fourth biggest value? (a) -11 (b) 0.06 (c) r (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - 3*c + 8, -3*c - 6 = -3*h + 2*c. Suppose -r - 5*a + 34 = 0, -a = 5*r - h*a - 144. Does 29 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 16, k: 2}. Give prob of sequence jjk.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.476458 + -0.01?\nAnswer: 121.466458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/2*138\/(-1932)*-154)\/((-2)\/(-4))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 - 9. Find the third derivative of 0*r**2 - 4*r**6 + r**6 + g*r**2 wrt r.\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90493.6 + -372116086.\nAnswer: -372206579.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 9:29 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -7*x**2 - 5*x + 1. Let z(m) = 8*m**2 + 6*m - 2. Let i(o) = o**2 - 6*o - 10. Let t be i(6). Let c be (-2 + t - -4) + -7 + 8. Give c*s(j) - 6*z(j).\nAnswer: j**2 - j + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7 + 12. What is the closest to -0.1 in -4, 11, z?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30 + 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53275059 by 3.\nAnswer: -17758353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -114321133 (base 6) to base 4\nAnswer: -20102113101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) -11\/6 (c) 1\/13 (d) 296 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1827 and 50472?\nAnswer: 10245816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.19 + -0.21. Sort o, 2\/9, -0.2, 4 in decreasing order.\nAnswer: 4, 2\/9, -0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72791 is divided by 5198.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.3, 5, -6, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -6*z - 45. Let y be n(-12). Let l be (8\/6)\/(18\/y). Suppose -2*k + 4 = w, -l*k + 5*w = 2*w - 12. Solve k*i + i = 4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 7:44 PM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -2*((-1 + sqrt(300) + sqrt(300))*2 + sqrt(300))*2)*6*6 + 3)**2.\nAnswer: -1598400*sqrt(3) + 155532321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.8 - -11. Let c = t - 0.1. Which is smaller: c or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l - 78 = -5*l. Which is the biggest value? (a) l (b) 0.3 (c) -0.5 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78 + 158. Suppose 0*y - m = -2*y. 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: Let p = -0.3 + 0.8. Let n = 51 - 23. Let u be (n\/49)\/((-44)\/(-14)). Sort 0.1, p, u.\nAnswer: 0.1, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from nkkkvvkvnhkkknkkvk.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1711269 + 756911 = 22*v. What is v rounded to the nearest ten thousand?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 13 = -5*m - 2, -4*m = 5*j + 29. Is 54\/4 - m\/2 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 4 + 22*o + o + 32*o - 19*o. Let z(c) = 7*c + 38. Let k be z(-5). What is the tens digit of s(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(((-22)\/6)\/11))\/(6\/4))\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 8*i**2 - 3*i + 59. Let q(p) = 23*p**2 - 8*p + 175. Let c(k) = 17*n(k) - 6*q(k). Let x be c(0). Is -43 equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28\/(-4)*(-10 - (-68)\/7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8764781*d*r**3 - 27221999*d - 2*r with respect to r.\nAnswer: -26294343*d*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1021751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -291 + 294. Let o = -3 + 2. Let i = o + 0. Which is the closest to i? (a) -1\/4 (b) l (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 4\/3, -0.04, -2, 1, -3, 555340?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.298 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 101 + -6?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1531529.\nAnswer: 1109, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r + 16 = 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 220 and 1045?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 12:34 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 165*k + 2256 = 171*k. What are the prime factors of k?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 8*d + 21. Let y(k) = 1. Let a(q) = m(q) - 6*y(q). Let i be a(6). Differentiate 10*f**3 - 9 - 10 - 4*f**i + 12*f**3 wrt f.\nAnswer: 54*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 465*d + 18. What is the hundreds digit of h(20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2298 - -196\nAnswer: 2494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*d - 32 = 5*z, 5*z = 5*d - 120. Let a = z + 5. What is a rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39225259?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15\/111616 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 394452262?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 + 10*h - 7. Suppose -4*q = -0*q - 28. Let j be f(q). Let d be (0 - (j + -2))*-65000. Round d to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -218*m + 143*m + 140*m - 359 - 161 = 0 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6254097 and 171?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 2*r - 258. Let i be r\/(-8) - 19\/(-76). Suppose -5*g + y = -314, -i + 140 = 2*g + 3*y. Does 9 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 54 = -10*o - 10. Let h(r) = -5*r + 1. Let u(c) = -11*c + 3. Let f(t) = 9*h(t) - 4*u(t). Let v(b) = 2. What is o*f(n) + 4*v(n)?\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6474*q**2*t**2 + 14*q**2 - 57*t**2 + 18697 wrt t?\nAnswer: 12948*q**2*t - 114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, w: 6}. Give prob of sequence bb.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2306 = 113*w + 118*w - 227 for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1405 - 902. Suppose -z - o = -4*p + 2*p, 4*z + 1259 = 5*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10478 (base 10) to base 11.\nAnswer: -7966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -189, -200, -197, -174, -125?\n\"Answer: u**3 + u**2 - 21*u - 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d**2. Let i(y) = 123*y - 32. Let z(c) = 81*c - 20. Let h(o) = 5*i(o) - 8*z(o). Give g(h(q)).\nAnswer: 9801*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + i - 1. Let j be p(-4). Let y = 15 - j. What is the derivative of -y + 4 + u**2 + 1 - 4*u**2 wrt u?\nAnswer: -6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7650.44 + -6950. Round u to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13122280?\nAnswer: 2, 5, 251, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 191 and 8?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -31244 (base 6) in base 13?\nAnswer: -1bb5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 AM and 4:12 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 269008149 to the nearest one hundred thousand.\nAnswer: 269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -5. Let w be 18\/15*(-20)\/(-6). Let c be ((-1)\/14)\/(2\/w). Put t, -4, c in descending order.\nAnswer: c, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {t: 5, v: 3, a: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 6*b**2 - 2*b - 8. Let o = 15 + -11. Let h be s(o). Let c be 2\/(-9) - (-47)\/9. Solve 2*n + 3*y = -13, -c*y - 14 - h = -5*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*u + 48 - 16 = -313*u. Let j(h) be the second derivative of 0*h**3 + 0*h**4 + 0 + 1\/20*h**5 + 7*h**u + 22*h. Differentiate j(i) wrt i.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88380 divided by 64?\nAnswer: 22095\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/504 and 155\/756.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -8, 3460 in descending order.\nAnswer: 3460, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20\/189 + -1682\/19467. Is b < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 0*h**2 + 3*h**4 + 139\/20*h**5 + 14*h + 2 + 0*h**3. Find the third derivative of c(b) wrt b.\nAnswer: 834","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/2377707 and -35\/117.\nAnswer: 92730573","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3\/5)*i*i)\/(i\/(i\/(i*i**5*i))*i)*(i**(3\/4))**(-8\/11) assuming i is positive.\nAnswer: i**(-393\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 v, and 1 q when four letters picked without replacement from {c: 2, v: 2, w: 2, q: 1, x: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + q = -r + 5, -q = -2*r + 1. Let b be -3 + 1 + 0\/(-2) - -2. Which is bigger: b or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1166, -1761, -1216, 1039, 5574, 12959, 23764?\n\"Answer: 95*n**3 - 1260*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2100 + -23126?\nAnswer: -25226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z. Let b(q) = 116548*q. Give b(k(l)).\nAnswer: 699288*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/5 and 73\/190?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 156.5699 + -555.14.\nAnswer: -398.5701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - w + 1. Let h be p(0). Put -2, -5, h, -17 in descending order.\nAnswer: h, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/25*((-9)\/6 - -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47048 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 3755246.\nAnswer: -3755243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -115889, -115617, -115345, -115073, -114801, -114529?\n\"Answer: 272*w - 116161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 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: Calculate the remainder when 83326 is divided by 103.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/50970 and -119\/1009206?\nAnswer: 5046030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, n: 16}. What is prob of sequence znnn?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5 - v - v**3 + 3*v + 7*v**2 - v. Let b be t(7). Solve b*q = 4*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 529 = -2*t + 5*w, 0 = -2*t + 4*w - 1100. Let o = 927 + t. Suppose -q + 141 = -2*p, 0 = -2*q - q - 4*p + o. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1.2, 1, 17222?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from uumuuuuvfmmufmvfe?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3517 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 66984882*g + 19780677 wrt g?\nAnswer: 66984882","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 92 - 89. Suppose -q = -5*a + 650, -h*a = -q - 238 - 150. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-4 + 1)*98460\/(-108)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 8*n**2 + n + 12. Let o be f(-8). Let r(i) = -3*i**2 - 2 - 2*i - o*i - i + 8*i. Let s(h) = -h**2 - 3*h + 2. Let p be s(-3). What is r(p)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*m + 13 = -2*m, 3*m = p - 13. Suppose -2*l + 15 = -s, -l + 11 + p = 5*s. Which is the nearest to -1? (a) l (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -859, -821, -783, -745, -707?\n\"Answer: 38*u - 897","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*l**2 - 10 + 25 - 7 - 9.\nAnswer: 13*l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253157 is divided by 61?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1300.3 and -0.2?\nAnswer: -260.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -3. Let b(u) = -16*u**n - 1 + 1 + 14*u**2. Let c(t) be the third derivative of t**5\/5 - 2*t**2. Calculate b(c(w)).\nAnswer: -288*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -2*q**3 - 4*q**2 + q + 1. Let p = -11 - -8. What are the prime factors of o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99565603?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 47*o**2 - 9*o + 13. Give n(2).\nAnswer: 183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than -86\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2754*k + 135117. Give x(-50).\nAnswer: -2583","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y**2. Let s(m) = -64*m**2 + 4*m - 1. Let i(q) = 128*q**2 - 9*q + 3. Let b(p) = 4*i(p) + 9*s(p). What is z(b(w))?\nAnswer: -8192*w**4 + 768*w**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 66136539?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-6)\/9)\/(-2))\/((-36)\/120*(-31)\/1116).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 365 + 225?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 7*a**2 - 9*a. Let s be t(-6). Suppose 0 = 3*w - 0*w - s. Find the third derivative of o**2 + o**w + 0*o**6 - 2*o**2 wrt o.\nAnswer: 120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) - (-1*sqrt(132) + sqrt(132)))*4 - -6*(sqrt(132) - 1*sqrt(132)))\/(1*1*sqrt(432)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4704 is divided by 152?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + x + 8, 3*d - 2 = 2*x - 0. Suppose 7 - d = 5*i. Sort -0.5, 0.2, i in ascending order.\nAnswer: -0.5, 0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -300 greater than or equal to -108973?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139075 is divided by 305.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**3\/3 + 452*i**2 - 86066*i\/3 + 221100 = 0.\nAnswer: -737, 9, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5238073707?\nAnswer: 3, 1291, 1352459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 117\/(-36) - 6?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -50*w - 5. Suppose -k + 2*y + 2*y - 11 = 0, -3*k - 13 = -2*y. Is n(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 120013 + -3?\nAnswer: 120010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59407 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4115 (b) 5 (c) -4.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47524926 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11393*l + 30 = -11398*l, 5*l = -3*o - 30 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 - 152.504. Let w = u - -0.464. What is the second smallest value in -10, w, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 12:28 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68802 is divided by 199.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 4*o**2. Let v = -7 + 11. Suppose v*s = 8 - 0. Let k(n) = -4*n + n - s + 2. Calculate w(k(l)).\nAnswer: 36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 10:15 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10300299?\nAnswer: 3, 19, 157, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -2*f**2 + 11*f - 3. Let r be s(5). Suppose 0 = -r*d + 4*w + 32, 26 = 4*d + w - 11. Let v = d - 8. Solve j - 2*o = -5, 0 = v*j - 5*j + 5*o - 15 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4204320 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 1 + 6 = 5*f, 2*f - 18 = 4*x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -2\/17, 0.03, -5, -0.1, -4\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -30*h**3 + 8*h**2 - 5. Let z(t) be the second derivative of -t**5\/2 + t**4\/4 - t**2 - 5588*t. Give 4*j(y) - 11*z(y).\nAnswer: -10*y**3 - y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4922964688?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 2, j: 3}. What is prob of sequence ssj?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -59352.\nAnswer: 1\/59352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -14*(-1)\/7*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 880755.1nm to centimeters.\nAnswer: 0.08807551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/18 - ((-22)\/6 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (76\/(-95)*5)\/(2\/6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -142 - 154 - 16*i + 258. Calculate the remainder when 88 is divided by x(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 52\/(-12) - 3*-1. Let p be (-2)\/(-9) + (-58)\/18. Let x be p\/15 - (-104)\/20. Which is the third smallest value? (a) h (b) x (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-4)\/(-40))\/((-6)\/(-15))\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -79b94 (base 13) to base 4\nAnswer: -312013300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1167, 17711, 62621, 150081, 294275?\nAnswer: 509387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 255, 488, 717, 942, 1163, 1380?\nAnswer: 1593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 246 divide 159150192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ktbb when four letters picked without replacement from bknknbnktwnban?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-13\/4)*y**(-3\/14))\/(y**10*y**(2\/33)) assuming y is positive.\nAnswer: y**(-12497\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -p**5\/60 - 7*p**4\/24 + 5*p**3\/6 - 2*p**2. Let o(t) = t**2 + 47*t - 8. Let c be o(-47). Calculate r(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/278784 and 113\/126.\nAnswer: 1951488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t**2 - 4*t**2 + 3*t**2)*(-t - t + 3*t + (-1 + 1 - 3*t)*(4 - 4 - 2)).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78 - 4 - ((2 - -1) + -2)?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0940959 rounded to four dps?\nAnswer: 0.0941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 19.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 201 + -199. Find n, given that 2\/5*n**w + 0*n - 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)*s)**9*(s\/(s*s\/(s**(1\/5)*s)*s))\/s**(-5)*((s\/(s**(-4)*s))**(-40))**(-25) assuming s is positive.\nAnswer: s**(20096\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - o + 2*o)*(1 + 0 - 3) - o - 4*o + 4*o - 2*o - 14*o + 13*o.\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 208346, 208150, 207954?\nAnswer: 207758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13548 rounded to the nearest one hundred?\nAnswer: 13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -4. Suppose 2*u + 4*t - 16 = -2*u, -3*u = -2*t - 2. Suppose -b = 5*v - 20, -b = u*b. Solve 0 = x - v*h - 25, -3*x + 0*h = y*h - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 494, 1939, 4346, 7715, 12046, 17339, 23594?\nAnswer: 30811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1\/2*((-100)\/(-5))\/((-4)\/(-2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 (base 15) in base 10?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 12:39 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 271 + -271.3. Which is the second smallest value? (a) -0.14 (b) -0.2 (c) g (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 158699015?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275078455 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*f**3 + 9*f + 39 + 43*f**3 - 9*f.\nAnswer: -f**3 + 39","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 8067.749209 to the nearest 10.\nAnswer: 8070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20021619 or -20021618?\nAnswer: -20021619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u + 0*u + 3*u - 26. Let p(o) = 2197*o - 21966. Let b be p(10). Calculate g(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -186, 18, 322, 696, 1110?\nAnswer: 1534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7*((-8)\/14)\/(-4). Find the first derivative of -4*v + q - 3 - 8*v wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3661847 to the nearest ten thousand.\nAnswer: 3660000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1266*((-22)\/(-20) + 21\/(-35)). Suppose 4*w - 1261 = 5*g, 2*w + 0*g - 5*g = n. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-1\/5)*g**(-10))\/(g**(1\/14)\/g*g*g*g**3))**(-1\/7) assuming g is positive.\nAnswer: g**(929\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, i: 3, u: 7}. Give prob of picking 2 f and 2 u.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = 252 - 107 + 195. Solve y = 6*y + 5*b - g, 4*y + b - 16 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/21, 1\/7, 29?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 16. Let i be t(13). Let l = -16 + i. What is the remainder when 18 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3258 or 3260?\nAnswer: 3260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2091007 and 62959.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 179052.2g?\nAnswer: 0.1790522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-77)\/14 + 6)*0. Suppose o = h - 4322 + 22. Round h to the nearest 10000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 6*a + 50. Let v(q) = -14*q - 99. Let s(m) = 13*j(m) + 6*v(m). Let n be s(13). Let h(r) = -r**2 - 3*r + 6. Let c be h(4). Are c and n equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3 - 9. Let y = 11\/20 + -3\/10. Solve y*i**m + 0*i - 1\/4 = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62*((66\/(-12))\/(275\/(-25)))\/(2\/(-2)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 23712.63 minutes?\nAnswer: 1422757.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**34)\/(l\/l**28)*l**(-3\/19)*l**20*l assuming l is positive.\nAnswer: l**(282\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000357242912 to 7 dps.\nAnswer: -0.0000357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 704.9812 from 554.3.\nAnswer: -150.6812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + 6013*c**2 - 2*c - 6121*c**2 as m + n*c + i*c**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -454613, -454612, -454589, -454538, -454453?\n\"Answer: n**3 + 5*n**2 - 21*n - 454598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 AM and 9:16 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1992723 and 1.\nAnswer: -1992722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 52 = -18. Let c(y) = 14*y**3 + 2*y**2 - 7*y + 5. Let p(i) = 5*i**3 + i**2 - 2*i + 2. Let w(s) = u*p(s) + 6*c(s). Let w(r) = 0. What is r?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -8, 16\/17 in ascending order.\nAnswer: -8, 2\/3, 16\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8005 + 833 - 7296 + 152 - 2098)*(-2*i - 2*i + 5*i).\nAnswer: -16414*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 462527694 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auam when four letters picked without replacement from {s: 1, f: 2, u: 2, m: 1, a: 4, e: 2}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -10*q. Let f(a) = -a. Let d(z) = -2*z**2 - 4*z. Let k(t) = d(t) - 4*f(t). What is u(k(v))?\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**3 + 19*k**2 - k + 45. Calculate the remainder when i(-17) is divided by 131.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.54614 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*k - 15683*k**2 - 81*k - 25456*k**2 + 65*k.\nAnswer: -41139*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4742*d - 2369*d - 2374*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -886, 438, 4028, 11018, 22542?\n\"Answer: 189*m**3 - m**2 + 4*m - 1078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 4*m - 1. Let f be u(5). Let z = f - -10. Suppose -j - z*j = a + 6, 4*a - 21 = -5*j. Calculate the greatest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 645179314?\nAnswer: 2, 13, 19, 67, 101, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 8*w**2 + 6*w + 10. Let h be r(-7). Suppose 18*m - h*m = 4. Solve c + m*c - 3*p = -1, -4*p = c - 9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1032 and 230.\nAnswer: 118680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 9:23 AM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 996\/209707 - -4822936901\/2849918130. Let d = g - -4\/1359. What is the common denominator of 83\/6 and d?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -121.55256 to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in years?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 40*x**2. Let f(z) = -4*z**2. Determine f(a(i)).\nAnswer: -6400*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dlneldlldllleldllnn. What is prob of sequence en?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**2)**1*(m\/(m*m**(-3\/2)\/m*m*m))\/(m**1*m))\/(((((m**9\/m)\/m*m)\/m)\/m)\/(m\/(m\/m**(-11)*m)))**(-1\/32) assuming m is positive.\nAnswer: m**(17\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 14*y - 9. Let k be d(-8). Let w be 9\/(-6) - 70\/(-4). Factor -w*s + 2 + 2*s**2 - k*s**3 + 45*s**3 + 6.\nAnswer: 2*(s - 1)*(s + 2)*(3*s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -32*y**2 - 8*y - 7. Let k(u) = -27*u**2 - 7*u - 7. Let s(i) = -6*k(i) + 5*p(i). Let l(r) = 2*r**2 + 3*r + 6. Give -2*l(o) + 3*s(o).\nAnswer: 2*o**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + 10. Let k be (80 - 4)*(-152)\/(-32). Let c = 381 - k. What is the lowest common multiple of c and z?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/2 + -8 + 1500\/(-8). Let m = 198 + q. Solve m*u + 6 = u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-2)\/8)\/(40*10\/20)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**4\/12 - x**3\/2 - 4*x**2. Let b(r) = -4*r + 5. Calculate 3*b(v) + 5*t(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9036630?\nAnswer: 2, 3, 5, 33469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8406600 divided by 3.\nAnswer: 2802200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 6*b**2 - b - 2. Let t be c(-6). Suppose 2*a + 22 = t*a. Let w = 0 + 44. What is the highest common divisor of a and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101000101 - 1000001?\nAnswer: 1100000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*c + 72 = 0, 80*a = 83*a + 3*c - 45 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*t + 4*a, 15 = -2*a - a for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -936 + 977. What is the remainder when 612 is divided by l?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 45 and 5625?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 + 4504200*w**2 - 18016776*w + 18016768 = 0. Calculate w.\nAnswer: 2, 2252096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 15628 to the nearest 1000.\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*z**2 + 38*z**2 - 2 - 1)*(2*z**2 + 3*z - 3*z).\nAnswer: 2*z**4 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115811?\nAnswer: 115811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 36 = 4*b - b, -3*v + 9 = 0. Suppose -n + 3 = -0*n. Suppose n = -3*l + b. Let g(d) = -2*d**3 + 3*d**2 + d - 2. What is g(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 974053, 974043, 974033, 974023?\nAnswer: 974013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 2. Suppose -4*n = -3*r + 24, 2*n - 3*r = -3*n - 30. What is m(n)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 583628?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -534051 (base 6) in base 7?\nAnswer: -241204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 723, 0.2, 1 in ascending order.\nAnswer: -40, 0.2, 1, 723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -226 or -901\/4?\nAnswer: -226","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*c - 2*c**2 + 3 - c**2 - 124*c + 102*c to the form g*c + t*c**2 + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 9*b**2 + b - 4. Let n be j(9). Find the second derivative of 3*l**5 + l + l - 2*l**n wrt l.\nAnswer: 20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.844086 litres to millilitres.\nAnswer: 3844.086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -3*n**2 - 6*n + 13. Let h(u) = 2*u**2 + 6*u - 12. Let b(d) = 5*h(d) + 4*k(d). Let w be b(6). Is w*174\/(-12)*(-1)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 6*r + 4. Let c(g) = 1. Determine 4*c(f) - x(f).\nAnswer: -f**3 - 6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 70*p. Calculate l(1).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -3*q - 33. What is the units digit of (1 + q)*3\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 11*h + 1552. Let j = -371 - h. Calculate the remainder when 58 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 6*l**2 + l + 6. Let s be v(-6). Suppose -z - 3*z - 5*x - 14 = s, 4*x = 3*z + 26. What is the units digit of -8*(-1 - 3\/z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = -3*o + 157, -114 = -2*o + z. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(175) + -1 - sqrt(175)) + 0 - sqrt(175) - (sqrt(1008) + 0 + sqrt(1008) - sqrt(1008))*-5) + -3)**2.\nAnswer: -63573 + 1320*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 21 = -3*g + 4*g, -20 = -4*g. Suppose -5*p + 10 = v*m - 20, 0 = -4*p + 3*m - 7. Solve p = -4*r - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3058 - 87?\nAnswer: 2861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {e: 8, z: 1, k: 1, o: 3, l: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1054 and 1802.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*v + 1 - 7, -3*v + 9 = -2*x. Let y(f) = -f**2 + 4*f + 3. Let w be y(v). Let n(r) = 2*r**3 - 2*r**2 - w*r - r**3 - r**2 + 5. Determine n(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 6, 39 in descending order.\nAnswer: 39, 6, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**(-3\/10)*o)\/o)**(5\/14))**(-18\/5) assuming o is positive.\nAnswer: o**(27\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = g - 24. What is the least common multiple of 7 and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148027657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -80*l**3 - l**2 - l - 1. Let q be r(-1). Let p be (-70)\/(-9) - (-18)\/81. Let v = p + q. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -250, -151, -1, 0, 4, -289.\nAnswer: -289, -250, -151, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42*2\/99*13*(-312)\/4732?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkey when four letters picked without replacement from {r: 4, y: 1, e: 5, k: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 216*r**3 + 662*r**2 - 269484*r.\nAnswer: 1296*r + 1324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.055908?\nAnswer: 0.027954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a kilometer in meters?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2509, -2619, -2739, -2875, -3033, -3219, -3439?\nAnswer: -3699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -9. Let a be (-2)\/(-2) + u - 100. Let f = -55 - a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71737279.14132 - 1.\nAnswer: 71737278.14132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = h - 1240, 3750 = 6*h - 3*h - m. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40765852?\nAnswer: 2, 353, 28871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a millennium in decades?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 25*n**2 - 197*n - 1. What is the remainder when 134 is divided by f(8)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/(-2) - 1691\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + (4 - 1) + 1. Suppose -i = -2*w + 4, w + 5*i = -3*w - o. Let m = -3 + 5. Which is the closest to -0.1? (a) 1\/3 (b) w (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 + 3 - 3)*(-4*h**3 + 5*h**3 - 4*h**3)*(-74 + 27 + 11).\nAnswer: 216*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.08 + 0.08. Let y = n + 13.9978. What is y rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + n**2 - n + 2. What is the tens digit of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 361, 708, 1035, 1330, 1581, 1776?\nAnswer: 1903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -2\/15, -43, 23\/8, -0.2, 13?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 + 2. Let c = -2446 + 2458. Solve c = p*r - 0*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7, -36\/19, 0, 5, -16 in increasing order.\nAnswer: -16, -36\/19, 0, 0.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85.5 + -1.5. Let t = 82 + h. Sort t, -3\/7, -3, -2 in descending order.\nAnswer: -3\/7, -2, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 960 = -5*s + 6365. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -15*z. Let y(w) = 4*w. Give y(p(f)).\nAnswer: -60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13380 is divided by 51.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*j**3 - 139*j + 139*j - 10*j**5 + (1 - 2*j - 1)*(-2*j**4 + 0*j**4 + 3*j**4).\nAnswer: -12*j**5 + 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 64703 less than or equal to 63641?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6*f**3*x + 2*f*x - 98*x wrt f.\nAnswer: 18*f**2*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 6*w - 5*w, -2*j + w + 2*w = 19 - 43 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {j: 3, p: 2, d: 10, b: 5}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1709?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r - 33 + 33. Let b(o) = -o. Give s(b(i)).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmcm when four letters picked without replacement from dyccmmnddd?\nAnswer: 1\/1260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 157 a factor of 36016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5 + 471*t**4 + 7419*t**3 + 39585*t**2 + 73794*t + 41160 = 0. Calculate t.\nAnswer: -140, -7, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-151 - -124) + 57\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8639 + -8639.07. Let o be -3 - 5\/(10\/(-18)). Let y be o\/(-4) - (1 + -1). Sort y, -3, x in descending order.\nAnswer: x, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 6*b - 1. Calculate the remainder when -5*(3\/(-6))\/(4\/48) is divided by d(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of 2*z**3\/27 + 17*z**2\/9 + 20*z\/3 + 216. Factor k(y).\nAnswer: 2*(y + 2)*(y + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1143061740 divided by -4?\nAnswer: -285765435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9536 and 38672056.\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 194*a - 2. Let w(m) = -m**3 - m**2 - m + 2. Let c be w(-2). Let j be y(c). Let t = 9335\/6 - j. Find the common denominator of t and 19\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8.1. Which is the closest to 1? (a) 0 (b) 0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 - (-2 - (4 + -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(99) + -4*sqrt(99))*3 - sqrt(99))\/(sqrt(108)\/(sqrt(60)\/sqrt(5))) + -4.\nAnswer: -10*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.48 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17678?\nAnswer: 2, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 639*z + 1942 - 3880 + 1938 in the form l + o*z and give o.\nAnswer: 639","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = m + 114 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -1\/3, 1\/4, 3, -2\/15?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/38 and 69\/2014.\nAnswer: 2014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/3 - 10162*u**2\/3 - 142594*u\/3 - 112090 = 0.\nAnswer: -11, -3, 5095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4742*p + 3. Let g be b(1). Let w = g + -3052. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-82)\/(-16) + 18\/(-24) and 113\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1353 - 1353 + 3*s**2.\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 8820 = 13*t + 18*t. Calculate the greatest common divisor of t and 1323.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -j - 5*h - 1, -2 = -j - 3*h. Suppose 3*f = 4*u + 107, -5*f - 2*u + 128 = -f. Calculate the highest common factor of j and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2779, 11575, 26247, 46807, 73267, 105639, 143935, 188167?\nAnswer: 238347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-4)\/(0 - 4). Put 4, c, 3 in ascending order.\nAnswer: c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 11:45 AM?\nAnswer: 11:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28746 is divided by 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**8\/6720 + 13*g**5\/30 + g**3\/6 - 285*g**2. Let s(f) be the third derivative of u(f). Let b(v) = -33*v. Determine s(b(q)).\nAnswer: -3267*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2 + 5 - 3*j - 12. Is o(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**2\/2 + z + 2. Let y(a) = 5*a - 7. Let r(m) = -m + 1. Let b(x) = 6*r(x) + y(x). Give 4*b(f) + 3*j(f).\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 75172025 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - -2 - 3) + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -914*d*h**3 + 54*d + 57369*h**3 wrt d?\nAnswer: -914*h**3 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 23 (c) 11 (d) -0.1 (e) -2\/23 (f) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 692137.72 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27d (base 14) to base 10.\nAnswer: -503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.193474 months in years?\nAnswer: 0.6827895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of 149*w**4\/4 + 4*w**3\/3 + 373*w**2 - 1467. What is the second derivative of a(x) wrt x?\nAnswer: 894*x + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 3)*(3 + 6 - i - 1).\nAnswer: -3*i + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -743 (base 8) to base 4\nAnswer: -13203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -37, -74, -127?\nAnswer: -196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 517.\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 602020 - 602020.1999995. Let u = -0.2 - k. What is u rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-3 - -2 - (0 - -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 167874, -0.005, -5?\nAnswer: 167874","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 1348 = -4400. Let x = n - -132208\/69. Let l = x - -5\/1104. Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**(13\/4)*(z**5*z)\/(z*z*z**(-7)))\/(z\/z**(-5)*(z*z**2*z)\/z)**34 assuming z is positive.\nAnswer: z**(-1167\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 315.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 3 = 5*c, -5*n - 4*c = -1 - 14. Solve 19 = n*q + 7 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 4. Suppose 4*g + 0*g = -3*k, 0 = g - 5*k - 23. Calculate x(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 3*h = 2, 0 = -5*v - 3*h - 2*h + 20. Suppose -4*n + 2 + 6 = 0. Let c(k) = -k - 1. Let x(t) = 2*t + 0*t - 6 + 6. Calculate n*x(p) + v*c(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 8:40 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**2 - n + n - 13*n**2.\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 6*l**2 - 3*l. Let h be u(-6). Suppose z - 3*y = 2*y - 3, 5*z = 4*y + 48. What is the greatest common factor of z and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40 + 22 + 6 + 4*y**2 - 17 + 5 + 23.\nAnswer: 4*y**2 + 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 3. Let c(n) = n**3 + n**2 + n. Let t be c(w). Suppose -4*s + 4*v + 24 = 0, 6*s - 4*s + v = t. Solve -5*r - 24 = 2*b - 3*b, -s*r - b - 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -i + 5*i - 43, 2*i = v - 3. Suppose v*h - 257 = 79. Let r be 30 + -20 + 1*2. What is the highest common divisor of r and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3016.2 to the nearest ten.\nAnswer: 3020","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 4*c - 6. Let u be z(-4). Let w = -17 - u. Suppose 0 = 4*t - 2*t - 3*s - 81, -w*t = -5*s - 210. Calculate the remainder when t is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 1e104?\nAnswer: 1e0ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**6\/120 + t**3\/3 + 4*t**2. Let p(u) be the first derivative of c(u). Let q(k) = 3*k - k - 4*k. Calculate p(q(x)).\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6 + -125?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - m**2 - m. Let o(d) = -11*d - 18*d**2 + 3*d**3 + 1 + 1 + 12*d**2. Let z = 0 - 1. Let f(s) = z*o(s) + 4*x(s). Factor f(a).\nAnswer: -(a - 1)*(a + 1)*(7*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2080?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 3*a + 5*m = 17, 5*a + 2*m = 22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.584432, 0.2, -5 in descending order.\nAnswer: 0.2, -3.584432, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 268, 282, 296, 310, 324, 338?\nAnswer: 352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146.773 - 0.227. Let w = m + 159.9. Let o = w - 12.8999917. Round o to 6 decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.9 + -6.9. Let f = -0.04 - -0.54. Let d = -30 - -32. What is the nearest to -0.1 in f, b, d?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 0.11, -2, -0.4 in descending order.\nAnswer: 6, 1, 0.11, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 + 10*o**3 + 8*o**3 + 7*o**3.\nAnswer: 27*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 50 = -o - 20*m, -5*m = 4*o - 52 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.08 (b) -0.5 (c) 0.2 (d) 2\/39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 19\/4 of a milligram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, 146, 50, 4, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2754, 2750, 2760, 2796, 2870, 2994?\n\"Answer: 2*i**3 - 5*i**2 - 3*i + 2760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k = -23*k + 1548. Suppose -d + 0*d + 4*c = -k, 3*d + c = 568. Suppose 4*l + 752 = 4*r, -r + d = -4*l + 5*l. What is the tens digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vc when two letters picked without replacement from ccccvcccccccccvvcccc?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10738561?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -160023168 divided by -9748.\nAnswer: 16416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (19\/(-19))\/(8\/184). Which is smaller: q or -0.3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.473303ml in litres?\nAnswer: 0.008473303","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 14060?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.75299708 rounded to 2 decimal places?\nAnswer: -0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46042266 a multiple of 402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -4. Let s(k) = -2*k**3 + 7*k**2 + 112*k - 435. Let t be s(4). What is the fourth biggest value in -2\/11, g, t, 1.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a. Let n(s) be the first derivative of s**5\/60 - 11*s**3 - 19*s**2\/2 - 54. Let x(u) be the second derivative of n(u). Give x(c(j)).\nAnswer: 4*j**2 - 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64 - -62. Let y(p) = -p**2 - p - 1. Give y(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o + 4*o - 17*o - 1)*(-5*o**3 + 9*o**4 - 10*o**4 + 3*o**3).\nAnswer: 5*o**5 + 11*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(300))\/sqrt(4)*-4 + ((-1*sqrt(36))\/sqrt(12) - sqrt(21)\/sqrt(112)).\nAnswer: 235*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**3 - 4*p**3 - 1 - 4*p**3 - 3*p**3 + 5*p**3 - 3*p**3 + (2*p**2 - 4*p**2 + 4*p**2)*(-3 + 3 - 2*p) + 3*p**3 + p**3 - 6*p**3 - 2*p**3 + p - p.\nAnswer: -15*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 57\/5 of a micrometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*r - g, -4*g + 9 + 3 = -5*r. Let c be (2 + -5)*(-1 + (-25)\/(-30)). What is the biggest value in c, -0.4, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -6195\nAnswer: 1\/6195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*d**3 - 972 + 5148*d**4 - 216*d**2 - 5112*d**4 + 4*d**5 - 972*d + 79*d**3.\nAnswer: 4*(d - 3)*(d + 3)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2022103 (base 4) to base 13.\nAnswer: -404b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 + 0*o**2 + 14122*o + 0*o**2 - 14123*o + 347*o**3 + 359*o**3.\nAnswer: 706*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - 7.85. Let t = m + 12. Let x = t + -3.99967. Round x to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 434 divided by 4.\nAnswer: 217\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/((-850)\/(-120)))\/(1\/5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 176*f - 194. Let s(z) = 3*z**2 + 354*z + 386. Let x(r) = -7*m(r) - 4*s(r). Suppose x(i) = 0. What is i?\nAnswer: -1, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*i + 2*t + 13, 5*i + 2*t - 6 = -29 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 - (5 + -3 + -10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 289120 and 81593.\nAnswer: 169713440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes after 7:22 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -m - 185, -3 = q + m - 48. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -15. Is 13 a factor of 6\/t*(-220)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -898, -1987, -3792, -6307, -9526, -13443, -18052?\n\"Answer: o**3 - 364*o**2 - 4*o - 531","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z. Suppose 22 = -2*u + 26. Let d be a(u). What is q in 8*q + 11 + 2*q**2 - d - 1 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(-65) + (-33)\/78. Put 0, o, 108 in decreasing order.\nAnswer: 108, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -164 - 1648908210.5.\nAnswer: -1648908374.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 903649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -982319 and -142.\nAnswer: -982461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(((-480)\/(-84))\/(-20))\/((-2)\/(-28))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1b94 (base 15) in base 6?\nAnswer: -43421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 4:49 PM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -11, 12 in descending order.\nAnswer: 12, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 348 is divided by 51?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, n: 1, w: 2, t: 6, m: 2}. What is prob of sequence dw?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3470 + 14968. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 1. Let d be i(-2). Let y(x) = 11*x**2 + 11*x - 17. Let p(q) = -11*q**2 - 9*q + 15. Let l(m) = -7*p(m) - 6*y(m). Is 3 a factor of l(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = 5. Let y = 8 + v. Solve -4*x - g + 4*g = -3, x + y = -4*g for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 50?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3.1527 or -1572?\nAnswer: -1572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:28 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 97257889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5841654 is divided by 389440.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 7*m + 11. Let g be k(8). Let f(t) be the first derivative of -1\/4*t + 1\/12*t**g - 1\/8*t**2 - 1 + 1\/16*t**4. Factor f(n).\nAnswer: (n - 1)*(n + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 5*u = 3*d + 5, -5*u = -4*d + 5. Suppose d = 5*k - 13 - 7. Find the second derivative of 2*t**k + t - 3*t**4 - t**4 wrt t.\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c*c*c*c*c**(-1\/11)*c*c*c**1)\/(c**(12\/5)\/c**(-2\/39)))**(-3\/4) assuming c is positive.\nAnswer: c**(-11707\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*u + 2*u + 0*u)*(0*u**3 - 3*u**3 - 3*u**3) to c*u**3 + b*u**2 + n*u**4 + g*u + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 644 divided by 433\nAnswer: 644\/433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 243 + -242.8. What is the biggest value in 1, w, -0.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -1.1, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1632203 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2 (b) -168 (c) 4 (d) 3\/4 (e) 1\/4 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1715173?\nAnswer: 439, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 32*p + p**3 - 32*p + 5*p**3.\nAnswer: 6*p**3 - 58*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**4)**(-26)\/(n**6)**(-1\/28) assuming n is positive.\nAnswer: n**(1095\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/sqrt(4) + 5 + (sqrt(192) - (-2*sqrt(192))**2).\nAnswer: -763 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 (base 14) in base 9?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 191063 to the power of 1\/2, to the nearest integer?\nAnswer: 437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -25620000 to the nearest one million.\nAnswer: -26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - 0.04. Let h = -133.3 + 133. Let d = 0.05 + 0.25. Which is the closest to u? (a) h (b) d (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0266112975 rounded to four dps?\nAnswer: -0.0266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 139697, 128545, 109951, 83909, 50413, 9457?\n\"Answer: -k**3 - 3715*k**2 + 143413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1055227?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 12*y - 7. Let w = 5 - 1. Calculate the remainder when z(w) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 621660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2750*c**3 - 24*c**2 - 11*c - 4. Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 726657951?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/7))**(-33)*(r\/(r*r**(-2\/3)))\/r**4)**47 assuming r is positive.\nAnswer: r**(6016\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 44*z**2 + 23*z + 43. What are the prime factors of v(-6)?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a + 29. Let t be l(9). Solve -6*f = -f + t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2252802650 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 41 + -43 - (0 + -3)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**9\/272160 - n**8\/45360 + n**7\/7560 - 3*n**5\/20 - 11*n**2. Let w(u) be the third derivative of q(u). Solve w(y) = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/21)*s\/(s*s**(-3\/2)))\/(s**(1\/2))**35)**40 assuming s is positive.\nAnswer: s**(-13360\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 74589 and 520536?\nAnswer: 24465192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -18. What is the lowest common multiple of 11 and m\/(-4)*(-4)\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -0.1, 3\/7, -2, -3 in ascending order.\nAnswer: -3, -2, -0.1, 3\/7, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-13))**(-9\/5) assuming r is positive.\nAnswer: r**(117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g**2 + 4957*g - 29731. Give w(6).\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(114))\/sqrt(6) + 2)**2.\nAnswer: 8*sqrt(19) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*t - 71600, -2*y - 3*t + 69537 = -2051. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -16*y - 22*y - 2 - 22*y - 6 + 61*y. Determine d(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 1154*h - 14896. Let u be z(13). Solve -91 + u = 5*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -1101110?\nAnswer: 1101114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39\/91 + (-624)\/(-14)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 1. Let s(j) = -13*j - 287. Let d be s(-22). Let w(f) = 12*f - 18. Give d*w(y) - 10*i(y).\nAnswer: -2*y + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -234 - -703\/3. Let u = -0.4 - 2.6. Let t = u - -3.1. What is the nearest to -1 in 1\/7, t, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -4*y - 0 + 7, -2*y = 4*n - 6. Sort -3, y, 3.\nAnswer: -3, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6199601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1693? (a) 4 (b) -91 (c) 0.4 (d) 0.7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 4, 888, -2, 3.\nAnswer: -5, -3, -2, 3, 4, 888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -126*k + 115*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123013 - -11203?\nAnswer: -111210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvdddvlvvd. What is prob of sequence ll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 4) in base 16?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r = -6*s + 4*s - 3, -5*s - 2*r = -6 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-33)\/(-15) - 1)\/(6\/400). Suppose -3*j = 5*j + z. Let a(n) = -5*n - 42. Let c be a(j). Solve c - 6 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 164 + 312*n**2 + 162 - 326 + (-10*n - 6*n - n)*(2 - 2 + 2*n).\nAnswer: 278*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7441.99 + 7442. Which is the third biggest value? (a) 43 (b) -5 (c) w (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 487850874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3119 + 3119. Solve q = -9*k + 12 - 21 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -19. Suppose -g*s + 20 = -y, -5*s + y + 17 = -7. Solve -1 = -s*i + 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2*z = -10. Let v = -5 + 8. Calculate the remainder when z is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -23, -48, -85, -140, -219, -328, -473?\n\"Answer: -j**3 - 18*j - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 38*i - 7. Let u = -279 + 283. What is the tens digit of p(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2096*c. Let u(x) = 45*x. Determine -12*u(g) - 3*z(g).\nAnswer: 5748*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**0)**(-33)*x**(2\/15)\/(x*x**(-6)))\/(x**(-1\/9)\/((x*(x**5*x)\/x)\/x))**(-27\/4) assuming x is positive.\nAnswer: x**(-881\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**2)**31\/(q*q**(1\/3))**(4\/7))\/(q**10\/(q*q\/(q\/(q*q\/(q**1\/q)))*q))**(-14) assuming q is positive.\nAnswer: q**(1097\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-4))\/(4\/(-160)). Suppose -t - 2 = 1, -u = -4*w + 4*t. List the prime factors of w.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k**(8\/3)\/k)\/k)\/(k\/(k**(-2)\/k)))\/(k\/k**(8\/3)*(k\/k**(8\/5))\/k))**(-2\/15) assuming k is positive.\nAnswer: k**(2\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-2)*(6\/(-10))\/((-2835)\/1575).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.02002 times 0.17025\nAnswer: 0.003408405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 12:31 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1809.1 - 1779. What is j rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 247, 579, 1039, 1627, 2343?\n\"Answer: 64*w**2 + 12*w - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 0*x = -4*x + 14, -2*x - 2 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -39723*r + 19850*r + 19886*r. Let j(f) = -36*f**2. Determine u(j(q)).\nAnswer: -468*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -16*s**4 + 2*s**2 + 27*s + 2. Let n(g) = -639*g**4 + 81*g**2 + 1080*g + 81. Let h(u) = 81*j(u) - 2*n(u). Find the second derivative of h(k) wrt k.\nAnswer: -216*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bffbbbfb. What is prob of picking 2 f and 2 b?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/11 (b) -8\/7 (c) -4\/7 (d) -5 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) - 6*sqrt(539)*3 - (0 + 0 + sqrt(539) + sqrt(539)))**2.\nAnswer: 194579","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -44305, -88551, -132795, -177037?\n\"Answer: d**2 - 44249*d - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14009603639 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - -5 - ((0 - -16) + (-204 - -191))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 3 + (-9 - -7 - 4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - r**2 - 6 + 6)*(1 + 8 + 5).\nAnswer: -14*r**2 - 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35844 + -12*(-10)\/90*-3?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (2 - -2)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, p: 1, z: 3, q: 3, i: 2, w: 5}. What is prob of picking 1 g and 2 q?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 659.166 to 0 dps.\nAnswer: 659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 466721513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10*(126\/(-14))\/495\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 + 7 = -s + 2*n, -4*s + 50 = -n. Suppose -7*a + 4*a + s = 0. Solve a*q + 2 = 14 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 - -31748?\nAnswer: 31750.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 + 7*v**2 - 15*v - 12. Let u = 7 - 17. Let z be q(u). Let l = z + 113. What is l rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 111*g**2 - 36*g - 35. What is the hundreds digit of s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -69, -168, -267, -366, -465, -564?\n\"Answer: -99*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/18)\/(-5) - ((-33504757)\/(-30666))\/(-871)?\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.5 (b) -25 (c) -2\/3 (d) -2\/129 (e) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6814192 is divided by 219?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11231 - 10003. Is 4911\/4 at least as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from syydqhsh. Give prob of sequence hq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-9))\/((-18)\/(-26460)). Calculate the greatest common divisor of m and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -57\/319 and -15\/765194?\nAnswer: 8417134","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5112495 + 7764354 = 23*l - 572792. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 15*g. Let r be (1*3)\/(1026\/1710). Let z(m) be the third derivative of -1\/3*m**4 + 0*m**3 + 0*m + 0 + 3*m**2. Calculate r*z(w) + 3*c(w).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 118063168 divided by -16\nAnswer: -7378948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -13805 and -14696 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 2*x - 10, 6*y - 4*x - 45 = y. Suppose -y*k + 45 = -55. Let i = -4 - -9. What is the greatest common factor of k and i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420466159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 6:35 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 124?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -85 - -348. Let o = 468 - b. What is the remainder when o is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -7 - 2*c**2 + 0*c**2 + 15*c**2. Let y(k) = -6*k**2 + 3. Determine 3*q(w) + 7*y(w).\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99487, 198979, 298473, 397969, 497467, 596967?\nAnswer: 696469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 747618 divided by 3\nAnswer: 249206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 9289 (b) -0.3 (c) 1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1130*u - 15787. Give o(-14).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 45062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 12 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 960 and 420.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(500)*1 + (sqrt(5) - (4 + (sqrt(500) - sqrt(5)))))*4 + -5)**2.\nAnswer: -336*sqrt(5) + 761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -296 - -296.5. Suppose h - 7 = -5*j, 2*h + 4*j - 3 + 19 = 0. Let f = h + 196\/11. What is the second smallest value in f, 2\/5, c?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38221585 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -4*d**2 + 8*d - 2. Let t(j) = j**2 - j - 1. Suppose 0*i + 51 = 3*i. Let u = 12 - i. Let l(y) = u*t(y) - o(y). Determine l(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*sqrt(112)*-1)\/sqrt(8))\/(sqrt(56)\/(sqrt(24)\/sqrt(3))*-4) + -1)**2.\nAnswer: 2*sqrt(2) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/27, 1\/87, -1\/33 in descending order.\nAnswer: 1\/87, -1\/33, -2\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -100150*f**3 + 1492539 wrt f.\nAnswer: -300450*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Are -3606 and -1\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) 1\/17 (c) 1.1 (d) -161 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**3 - 9*a. Let w(j) = -5*j + 0*j**3 - 11*j**3 + 12*j**3 + j**3. Calculate 4*q(v) - 7*w(v).\nAnswer: -2*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.002 (b) -113 (c) 1\/3 (d) 6\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**2 - 14. Let v(s) = 4*s. Determine v(n(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from uuyjrrrurru?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9440006 = -4*n - 3*p, -3*n + 7080006 = -6*n - 3*p. Round n to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4*(-9)\/(-5))\/((-516)\/(-60) - 9). Let l(v) = 2*v**2 + 31*v - 85. Give l(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.583 + 1\nAnswer: -4.583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16\/88 - ((-114)\/(-22) - 2). Let l = 1 - -5. Let p = i + l. Solve 3 = 2*x - p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 - 128. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 = 4*d - 69. Let n be (-14)\/119 + 19\/17. Put 2, d, 7, n in decreasing order.\nAnswer: 7, 2, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + -2*(sqrt(133) - (sqrt(133)*1 - sqrt(133))))\/((-2*sqrt(77) + sqrt(77))\/sqrt(11)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5523 + -5485. Calculate the remainder when 428 is divided by d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 = 7. Suppose -7*t = 2*a - 2*t - 28, 5*t - 47 = -3*a. Calculate the remainder when a is divided by 8 + -1*2 + h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 284062721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -5*k + 110, -57*v = 7*k - 58*v + 22 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q**2 + 3*q. Let n(k) = -222*k - 10. Let x(b) = 25*b + 1. Let o(c) = n(c) + 10*x(c). Determine o(p(w)).\nAnswer: -252*w**2 + 84*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qj when two letters picked without replacement from qnjjt?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 6*s. Let o(d) = -d - 706. Calculate f(o(h)).\nAnswer: -6*h - 4236","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4933700026?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m. Let p = -12 - -14. Let i(c) = c**2 + 3*c**2 + c - 3*c**p. Give -3*i(f) - y(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20181274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 + 327*d**4 - 149*d**2 + 0 - 33*d**3 - 328*d**4 wrt d?\nAnswer: -24*d - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2141202856?\nAnswer: 2, 13, 1483, 13883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -993, -14 in increasing order.\nAnswer: -993, -14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18303 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2430\/(-1440)*8\/(-3)*13*(-8)\/(-52)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**2 - z + 2. Let x be c(-2). Let n be x*(14\/(-4))\/(-1). Let j = n - -25. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 5*s + 8. Let o be r(-6). Suppose o*u - 86 = 212. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 2*v + 326, 2*m - 603*v + 599*v = 284. Solve m*c = 145*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000081987 rounded to 7 dps?\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -50.\nAnswer: -50, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 1 - 1 + (-l - 4*l + 2*l)*(2 - 1 - 2) + 6 - 7*l - 6 + (-l - 2*l + l)*(-2 + 0 + 1) + 0*l + l - 2*l as c + u*l and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50 + -39. Suppose -28 = -5*c + 17. Let v = y + c. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, 2\/15, -0.5, 21\/43, -2\/15, 5, 0.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 31\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 137115*g**2 + 15391*g wrt g.\nAnswer: 274230","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 9*r**2 + 10*r + 2. Let a be d(10). Suppose a*q = 10 - 2. Solve i + i - q = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20723.968731 + 20724. What is i rounded to three dps?\nAnswer: 0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -37*h**2 + 68. Let g(k) = 4*k**2. What is g(r(y))?\nAnswer: 5476*y**4 - 20128*y**2 + 18496","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 888 and 42?\nAnswer: 6216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568 plus 2.661333?\nAnswer: 1570.661333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7)\/(c*c\/(c*c**8)))**(-32)\/((c\/(c\/(c**(-1\/4)\/c)))**(17\/2))**(-22) assuming c is positive.\nAnswer: c**(-935\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 7)*(-4*t**2 + 4*t**2 - 2*t**4).\nAnswer: -20*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 17*q - 14. Let v be g(-17). Suppose 1141*u - v*u - 1 = 0. Which is greater: u or 2\/135?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01839755514 to 6 dps.\nAnswer: -0.018398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b (base 13) to base 7\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kwq. What is prob of sequence kq?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**3 - 11*t**2 + 19*t + 7. Let x be j(2). Calculate the greatest common divisor of 1075 and x.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-10)\/6)\/(2\/(-36)). Suppose 0*y = -5*y + a. What is the remainder when y is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**5 + 6*m**3 + 8*m - 6. Let b(h) = 3*h**5 + 11*h**3 + 16*h - 11. Let k(d) = 6*b(d) - 11*f(d). Find the second derivative of k(r) wrt r.\nAnswer: 140*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 148, -0.4, 0.3, -0.2 in descending order.\nAnswer: 148, 0.3, -0.1, -0.2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -145 - 2. Let z = s - -54. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/88 and -13\/1056.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3, 550, 2 in increasing order.\nAnswer: -2\/5, 2, 3, 550","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 4*v - 9. Let i be l(6). Suppose -i = 4*a - 15. Let b(f) = f - 1. Let u be b(5). Solve u*g = g + a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 - i + 1. Let p(q) = -q**2 + 44*q - 79. Let r(d) = -p(d) - 4*s(d). Solve r(t) = 0 for t.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2353*d**2*k*v**3 + 4*d**2*k*v**2 + 5*d*k*v**3 - 28*d*k + 4*k*v**3 wrt d.\nAnswer: 4706*k*v**3 + 8*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3)\/(-66)*4 + (-32)\/176. Sort 20, v, -6, 5 in descending order.\nAnswer: 20, 5, v, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 18*h**2 - h. Suppose -3*q + 4*q - t = 1, 5*t = -10. Is 19 a factor of u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 j when three letters picked without replacement from {j: 4, z: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*u**3 - 248*u**2 - 1491*u + 57330.\nAnswer: (u - 21)**2*(9*u + 130)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261969 = -2292*r + 229881 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-11)*((-11)\/66*-12)\/10\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.983 + 0.017. Let s = w - 22. Sort -3\/13, 4, s in ascending order.\nAnswer: s, -3\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 0 + 2 + -4 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-4))\/(1\/10). Suppose 2*b = -5*m + 55 + 20, -d*m = 3*b - 105. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -204.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*f**3 + 11681*f**2 - 11681*f**2.\nAnswer: -140*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*n - 2*n + 2*x, -4*n + x - 24 = 0. Let g be (-3)\/7*n\/(-9). Which is the biggest value? (a) g (b) 3\/4 (c) -5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22991, -3, 5, 2, -5 in decreasing order.\nAnswer: 22991, 5, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c = 2. Is (1 + c)\/1*-53 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 8*r**2 - 8*r + 9. Let j be x(7). Suppose 21 = j*s + s. Find the first derivative of -6 + 4*k - s + 0*k + 7 wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, o: 10, l: 3, u: 2, q: 2, z: 1}. Give prob of sequence qqzo.\nAnswer: 5\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 20165560 in descending order.\nAnswer: 20165560, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 31*g - 8208 + 4104 - 1872*g + 4106 to w + m*g and give m.\nAnswer: -1841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -3*m - 44. Give v(-8).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101100101 - -1110220?\nAnswer: 102211021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 592875 and 18755?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/((-2221)\/186564 + 255\/252).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6081039457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 50.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + (7 + -1 - (7 + -4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 - 66. Let h = -61 - p. Suppose 5*s - 230 = -5*a, -4*s + 2*s - h = -a. Does 30 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/10)\/(1*-3)*6\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 0.3 (c) 47 (d) -0.27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256*r**5\/9 - 89536*r**4\/9 + 17348*r**3 - 8820*r**2 + 1392*r = 0. What is r?\nAnswer: 0, 3\/8, 1, 348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/18 + 1*3\/(-27).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of 1523*a**6\/40 + 8809*a**4\/24 + 2*a**2 + 575*a + 8. What is the second derivative of c(p) wrt p?\nAnswer: 27414*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 5*g**2 - g - 1. What is y(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 28*c - 111. Let u(q) = q**2 - 41*q + 91. Let t be u(38). Let h be l(t). Solve -h*a = -2*k + 30, 4*a - 5 = -k - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 179433485*m**2 + 0 + 179434433*m**2.\nAnswer: 948*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-102)\/4)\/(180\/(-120)) + -10. Solve 5*w - 4*n = 7, -b = -w + 3*n - 10 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 0 + 11\/2*x**4 + 0*x**2 - 5\/21*x**7 + 50*x - 1\/20*x**5 + 0*x**3 + 0*x**6. What is the third derivative of o(a) wrt a?\nAnswer: -600*a**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -95501 by -1.\nAnswer: 95501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39743925 divided by 7948785.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 1270*p + 283210. Let j be u(-223). Let z = 0.34 - -0.06. Which is the biggest value? (a) 0.1 (b) z (c) 0.2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29250866?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -4*q**2 + 14*q + 9. Let m be u(10). Is (-3 + 0 + 2)*m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/340 - (-48)\/(-408)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 1:10 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33928456*i**4*t**3 + 2*i*t**3 - 80489*i*t - 8*t**3 + t**2 wrt i.\nAnswer: -407141472*i**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -895293, -1790572, -2685851, -3581130, -4476409?\n\"Answer: -895279*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 1170*m - 2462 = 1167*m, -5*m = d - 510. Calculate the lowest common multiple of d and 90.\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 13152 = -3*j, 2*j + 9683 + 3467 = 3*k. List the prime factors of k.\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12673933 - 12673895.999916. Let c = q - 37. What is c rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104.17800852 rounded to 2 dps?\nAnswer: -104.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 - -0.1. Let f(w) = -w + 8. Let q be f(6). Let r be 11\/(-3) - (q - 5). Which is the closest to z? (a) r (b) 0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 8 = -0*j - 4*r, 4*j - 4*r = 8. What is k in 4 - 2*k**2 + j*k**2 + 4 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61 - (-4 + 1) - (-4056 - -4089).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(23\/5)\/(b**(4\/17)*b*b))**(-33) assuming b is positive.\nAnswer: b**(-6633\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27367595 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 507362 (base 15) to base 4\nAnswer: 32210323103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(6*sqrt(88)\/sqrt(4))\/(sqrt(8)\/(sqrt(4)*-1)))**2.\nAnswer: 3565","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 2 r when three letters picked without replacement from rzrz?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 452\/6 - 2\/(-3). Suppose -4*t - 2*w - 2*w = -b, -5*w - 31 = -4*t. Calculate the least common multiple of (-1232)\/(-385)*(-5)\/(-2) and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 14*d - 32. Let p(o) = -o**2 - 157*o + 975. Let a be p(6). What is t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 = -264*a + 259*a - 2*f, -5*f = -15 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 424591 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (241\/1)\/(1\/1). Suppose 5*z - 1391 = -d. Suppose 5*w - 25 = 5*j - z, 128 = 4*j + 5*w. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*r - 6*r + 3*r**3)*((-6*r + 6 - 6)*(1 - 2 + 2) + 3*r - 4*r + 0*r) in the form h*r**4 + p*r + b*r**2 + k + v*r**3 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -7 (b) -0.056 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -283.49999504 - -283.5. Round p to seven dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5577287 is divided by 75.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 5*p**2. Suppose 3*k + 4*g - 2 = 0, 0*g = -5*k - g + 9. Let y(i) = 14*i - k*i - 5*i. What is c(y(f))?\nAnswer: 245*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*s + 196, s - 47 = -w + 17. Let d be ((-652)\/(-815))\/((-2)\/w*-2). Solve -5*y + 20 = 4*n, 0*n + 3*y = -2*n + d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*g + 218 = 0, 0 = 4*y + 67*g - 63*g - 440. Calculate the least common multiple of 9 and y.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i + 6*i + i. Let b(o) = -o - 2. Let j(w) = -3*w - 5. Let y(l) = -5*b(l) + 2*j(l). Calculate p(y(r)).\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z**2. Let t(x) = 8*x**2 + 2*x - 318465. What is t(d(c))?\nAnswer: 32*c**4 + 4*c**2 - 318465","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -760, 3, 4, 0, 0.3, -1646, 0.2 in decreasing order.\nAnswer: 4, 3, 0.3, 0.2, 0, -760, -1646","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 3*j - 2, -6*t = j - 3*t - 10 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - 19 - (-1 + -3 + 26 + 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 - (0 - 0) - -12. Suppose -i - i + c = 3*t, i = -3*t + 12. What is the second derivative of 3*y**3 - 3*y + i*y + 6*y - 4*y wrt y?\nAnswer: 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -2\/13 (b) 3\/11 (c) -44 (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -652*o**2 - 91*o - 644*o**2 + 1286*o**2 in the form c*o + y*o**2 + r and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89*o - 28*o = 122. Solve 1 + 39 = 5*j + 4*x, -3*j + 22 = o*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*u + 51536 = 51061 for u.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 2 + 4. Let y(o) be the second derivative of 5*o - o**2 - 2\/3*o**3 - 1\/20*o**5 + 0 - 1\/6*o**4. What is y(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21c3b (base 14) in base 3?\nAnswer: 11011110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 11*q + 4. Suppose 4 = c, 2*u - u - c = 1. Let n be x(u). Suppose -4*o = -6*o + n. What are the prime factors of o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -195*o**2 - 55 + 330*o**2 - 2*o + 0*o + 77 wrt o.\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27465*f**3 + 5*f + 24*f**2 + 47*f**2 + 27466*f**3 to the form t*f**2 + j*f + w*f**3 + v and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p + 65. Let r be q(-9). Let z(d) be the first derivative of r - 7\/4*d**4 + 0*d + 0*d**2 + 4\/3*d**3. What is the third derivative of z(t) wrt t?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 5*o - m - 25515000, o - 5103000 = 5*m. Round o to the nearest 100000.\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 1:25 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.54 + -1.804205885\nAnswer: -0.264205885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p + 49 + 3*p + 21 - 39 + 13. Let q be c(-9). Put 9, q, 10 in decreasing order.\nAnswer: 10, 9, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(-5)\/q)\/q**(-13))**(-1\/56))**10 assuming q is positive.\nAnswer: q**(-5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2265837 and 420.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + v + 1. Let k(g) = 3*g**2 - 20*g + 1. Calculate -k(f) + s(f).\nAnswer: -4*f**2 + 21*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-42))\/(((-50)\/15)\/(-5)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8512474589 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -2508, -3\/61, -2 in descending order.\nAnswer: 3, -3\/61, -2, -5, -2508","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -537, -432, -271, -30, 315, 788, 1413?\n\"Answer: 4*k**3 + 4*k**2 + 65*k - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -299\/180 - 4\/45. Let v = -859.9 - -854.9. Sort -0.3, v, a, -3.\nAnswer: v, -3, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g - 2. Suppose -5*r - 36 = 4*m, -3*r - 16 = r. Let v be l(m). What is the tens digit of (1\/v)\/(6\/720)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*r**4\/4 - r**3 + 7*r**2 + 4*r.\nAnswer: -r*(r - 2)*(r + 2)*(7*r + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2 = 4*y - 19, -3*y - 3*p = -27. Suppose -a - 2*l = -2, 2*l + y = 3*a + 3*l. Solve -2*i = -5*v - 15, 5*v + a*i = 6 - 41 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-6)\/(-2)*114\/(-171))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55485 = 6165*p - 1350*p - 185265 for p.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0853968484 to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of 4\/5*s**5 + 1\/5*s**6 + 2\/105*s**7 - 18*s**2 + 0 + 2*s**3 + 0*s + 5\/3*s**4. Determine m so that i(m) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 10:17 PM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 106160?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 6*p - 56\/3 - 1\/3*p**2 = 0.\nAnswer: 4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94 + -84 + (-2 - -6).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*h**2*v + 180361*h*v**2 + 4*v**2 - 14*v + 10402 wrt h?\nAnswer: -36*h*v + 180361*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 613.223 to zero dps.\nAnswer: 613","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*l - 80*l + 71*l - 1357 = 0 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1121200020 (base 3) to base 6.\nAnswer: 403223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88102 = 412*j - 48*j - 907*j - 976*j for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, p: 2}. Give prob of picking 2 w.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 214312 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1970576401.\nAnswer: 1637, 1203773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**7\/70 + p**5\/60 - p**2 - 5*p. Let z(c) be the first derivative of r(c). What is the third derivative of z(m) wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*t**4 + 14 - 10 + 3 + (2 + 3*t - 2)*(0*t**3 + 5*t**3 + 6*t**3).\nAnswer: 26*t**4 + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -14452*a - 117. Let u(h) = 348033063*h + 2817555. What is -72245*j(w) - 3*u(w)?\nAnswer: -14449*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -816 + 751.7. Let b = p - 11.7. Let s = 80.3 + b. What is s rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/319260 and -1\/1784100.\nAnswer: 30329700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-33)*3 - ((-7100)\/275 - -23). Factor -32\/5*y**5 + 0*y**2 + 0*y - 16\/5*y**4 + 0 - 2\/5*y**u.\nAnswer: -2*y**3*(4*y + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (-5 - -2)) + -7\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 12:55 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -5*t - 195, -5*k + t - 1004 = -81. Let s = k + 369. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.009903 rounded to 4 dps?\nAnswer: 0.0099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 2*w + 10. Suppose -13*o + 12*o = 6. Give r(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 8728, 17804, 27224, 36988, 47096, 57548?\n\"Answer: 172*r**2 + 8560*r - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 times 0.72?\nAnswer: -75.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 + -2 + 27)*14\/4. Suppose -u = -n + 5*j, -n - 3*j = 17 - 110. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18891\/10 + 1832327\/970. Let r = 588\/11 + -4677\/77. Calculate the common denominator of x and r.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37118 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 155 = -29*h + 64*h, -3*h + 35 = 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12.9 - 12.5. Let l = -15 - -10. Sort o, l, -0.5 in descending order.\nAnswer: o, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9256165cm in kilometers?\nAnswer: 0.000009256165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 57*a + 8 + 246*a - 4 - 6 - 327*a - 1.\nAnswer: -24*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0456 - -23.8444. Let t = -24 + y. Let l = -0.39 + t. Sort l, 0.5, 3\/4 in descending order.\nAnswer: 3\/4, 0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2. Let w(q) be the second derivative of 7*q**6\/720 + q**4\/2 - 8*q. Let i(u) be the third derivative of w(u). Calculate i(x(m)).\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4 (b) -31 (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6625984.\nAnswer: 2, 19, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 17*a**3\/6 + a**2 + 5*a. Let c be z(3). Suppose -13 + c = 4*o. Does 3 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 4:33 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/5)\/(4\/(-20)). Sort 3, 1, x in descending order.\nAnswer: 3, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 327784.\nAnswer: 2, 40973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 2. Let v be i(4). Suppose -4*x - 98 = 190. Let u be (x\/15 + 4)*-5. Which is smaller: v or u?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 - -87. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 30.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -18*w**5\/7 + 6948240*w**4 - 308038154*w**3\/7 + 637692716*w**2\/7 - 497184056*w\/7 + 129700176\/7 = 0.\nAnswer: 2\/3, 2, 3, 2702087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.66848 * 2.\nAnswer: -9.33696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6662733.\nAnswer: 3, 7, 11, 28843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 25*f + 25*f - 48*f. Calculate v(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 149868, 149836, 149782, 149706, 149608?\n\"Answer: -11*f**2 + f + 149878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -14096273a + -2?\nAnswer: -140962741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 748.9137 - -0.0863. Let j = u + -651.6. Let r = 152 - j. Round r to 0 decimal places.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 1:42 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 1 - 7 + 156*v**3 - 4.\nAnswer: 156*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2. Let m(c) be the third derivative of -109*c**5\/30 + 2*c**2 - 524*c. Give t(m(w)).\nAnswer: 95048*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 11:36 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1306520 is divided by 78.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/11 (b) 1\/5 (c) 24\/1813 (d) -1 (e) 1\/86 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6352, 12704, 19066, 25444, 31844, 38272?\n\"Answer: l**3 - l**2 + 6348*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 989 + -981. Solve -6*r = l*r - 28 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24 + 16*t + 53 - 29 to n + h*t and give h.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*b - 14*b - 5*b + 27*b in the form x*b + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(10\/3)*h**(-2\/11))**0\/((h**3)**(-24))**2 assuming h is positive.\nAnswer: h**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 77271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-32)\/(-80)*(-9)\/6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -262, -593, -1056, -1651?\nAnswer: -2378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 171 - 155. Suppose -6*o + 4*o = -24. Let p be (-9)\/(-4) + o\/y. Solve 0 = -s + p*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-3))\/((-28)\/1476). Let c = 1039 - 1074. Let k = m + c. Is k >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 46398559?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-12)\/(-20))*2\/(-188)*(9 + -4)?\nAnswer: -6\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 959306 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: Convert 13b7797 (base 12) to base 4.\nAnswer: 33022022203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 10. Suppose -2*d = -5*d - o + 63, -a*d = o - 84. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138953 = -4501*h + 40316 - 31892 for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.2 (c) -4 (d) -0.09 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i**3 - 9*i**3 - 11*i**3 + 45*i**3 - 11*i**3.\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t**2 - 1. Let w be r(1). Suppose -w = -y - y. 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 q(x) = x**3 - 5*x**2 - 5*x - 10. Let l be q(-4). Let p = -82 - l. Is (-7677)\/(-39) + 8\/p a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + 111?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g. Let i(j) = j**2 + 3*j. Let v(p) = i(p) - 3*s(p). Suppose -4 = -c + 2*b + 2, -15 = -5*c - 5*b. Let o(y) = -4*y + c*y + 5*y**2. What is o(v(q))?\nAnswer: 5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.4 - 7.7. Let u = -7.3 - g. Put u, 2, 6 in decreasing order.\nAnswer: 6, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 253391*o**3*v**2 + 53*o**2*v**2 - 2802*o**2 + 2*o*v wrt o?\nAnswer: 1520346*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**2)**(-39)*(y**3)**31)**45 assuming y is positive.\nAnswer: y**5940","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4251040*s**3 + 8502174*s**3 - 4251130*s**3.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**4\/3 + 42*n**3 - 313*n**2 - 1064*n\/3 = 0.\nAnswer: -133, -1, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 708.809 grams?\nAnswer: 708809000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 32 = 7*d. Let p = -11.8 - -13. Let f = 0.17 + -4.17. Which is the second biggest value? (a) p (b) f (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02 - -1.22. Let i = p + 0. Let m = 14 - 13. Is i != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1334*s - 5643 - 21294 - 217 = 32876 for s.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14229648.\nAnswer: 2, 3, 32939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 68 - 64. Let g(u) = u + 7. Let z be g(-5). Let n be 1*-1 - (-6 - -1). Solve -n*h = i - z*i - 17, -l*i + 22 = 2*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-35)\/14)\/(1\/2). Let y(g) = -7*g**2 - 3*g - 2. Let a(w) = 3*w**2 + w + 1. Calculate x*a(h) - 2*y(h).\nAnswer: -h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g + 11. Let q be u(-4). Suppose -q*l + 20 = 62. Let i be 9\/(-21) - 10\/l. What is the second smallest value in -5, -3\/2, i?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 6*l + 5. Let s be m(7). Let u be s\/1 - 0 - -4. Suppose 2*y + 2*w = 12, -u*y - w = -4*w - 17. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116900123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*r - 11*u + 13*u, -r - 5 = 3*u. Let w(c) = c**3 - 11*c**2 + 15*c - 14. Determine w(r).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 276*n + 284. Calculate j(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*i**2 - 25 + 21*i**2 + 45*i**2 + 6.\nAnswer: 61*i**2 - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -287 - -291. What is the smallest common multiple of 16 and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 865556333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 5 = 4*p, -8621 + 8616 = p + m for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**3\/3 - 6*a**2 - 5*a - 46. Give c(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 9, 1721.\nAnswer: -4, 5, 9, 1721","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 m when two letters picked without replacement from dttdddm.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**5\/30 + i**4\/12 + i**3\/6 - 6*i**2. Let o(a) = -3*a**2 + 3*a + 2. Give 3*o(f) - 4*v(f).\nAnswer: -f**2 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 40 = -3*a. Let j be (-1 - 1) + 7 + -1. Solve -g - j*g = -a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 5 = -219. Suppose 2*u = q + 102. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {a: 1, h: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 88 - 100?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(2 + -3 + sqrt(176)*1 + sqrt(176) - -1*((sqrt(176) + 1*sqrt(176))**2 + sqrt(176))*-3)*4.\nAnswer: -8448 - 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (53\/1272*76)\/(((-1)\/1)\/(-6))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 s when four letters picked without replacement from {s: 9, m: 5}.\nAnswer: 360\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21 + 37. Suppose 0 = 3*p + a - 26, -3*a + i = 2*p - a. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 4, -5 in decreasing order.\nAnswer: 34, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12065240003\/6090 + -1981156. What is the common denominator of -121\/18 and m?\nAnswer: 18270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**(4\/7))\/m)\/(m\/(m*(m*m**(-2\/11))\/m)))**(2\/15) assuming m is positive.\nAnswer: m**(38\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (4 + sqrt(112)*-1*6)**2 + (sqrt(1008) - -1*sqrt(1008))\/(sqrt(9) + sqrt(324) + sqrt(36)))*-4.\nAnswer: -16196 + 6880*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110.37 - 371363.43.\nAnswer: -371253.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-21) - (-6161)\/2121. Let l = -3.9 + 4. What is the closest to s in l, -1\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25650 and 25650?\nAnswer: 25650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -73 - -73.2. What is the nearest to k in -2\/5, 7, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 1. Determine q(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/5, -1, 1\/106, 4\/5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*z - 126. Calculate the lowest common multiple of z and 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10966 or -10973?\nAnswer: -10973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 2*g**2 - 3*g + 3. Suppose -132 = -4*t - d, -t + 38 = -3*d + 2*d. Suppose 16 = -3*v - i - t, -12 = -3*i. Let w be 29\/(-9) + (-4)\/v. Give q(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 452652*m**2*q**2 + 24678*m**2*q - 4*m**2 + 1 wrt q?\nAnswer: 905304*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/sqrt(3)*-1)\/((sqrt(40) + sqrt(1440))\/sqrt(5) + sqrt(8)).\nAnswer: -sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1439?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -763278 divided by -763278\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**2*u**(-1\/2))\/(u**(-2)*u**4\/u) assuming u is positive.\nAnswer: sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 3.39806\nAnswer: 1.019418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(s**2 - 6*s**2 + s + 0*s**2 + (3*s - 2*s - 2*s)*(-s + 4*s - s)).\nAnswer: 7*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 346 + -344. Determine r, given that -2\/3 + r - 1\/3*r**c = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -516.\nAnswer: -1\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l - 176 - 11*l - 14*l + 63*l**2 + 180 wrt l?\nAnswer: 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627510598 to the power of 1\/2, to the nearest integer?\nAnswer: 25050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ou when two letters picked without replacement from {o: 2, u: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 0)*(-4)\/(-6)*-21. Let j be 34 - w - ((-2 - -2) + 1). Solve 5*z = j*p + 15, 5*p = -2*z - 20 + 5 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (18 + -3)\/3 + 1. Let b = 11 - r. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26327 * 1.366\nAnswer: -35962.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 234 divided by -50.\nAnswer: -117\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 119 - 1*(-1 - -1). Let l = -102460 + 102474. What is the highest common divisor of l and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -9*p + 6. Let j(v) = v**2 + v. Let b(m) = -2*j(m) - q(m). Give b(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r - 23. Let b be n(8). Let s be 100 - (-2 + 0)*b. Is (18\/(-27))\/((-1)\/s) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -17104.\nAnswer: 5131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*n + 10. Let x be 50\/(-15)*6\/n. Put 0, x, 1 in decreasing order.\nAnswer: x, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -12. Suppose -f = -0 + l. What is the closest to -1 in f, 3\/5, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12766 and 1216207.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -506 by -11.\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5*y**2 + 3)*(2*y - 4*y + y)*(-4 - 1 - 147*y + 168*y) to s*y**4 + r + w*y**3 + o*y**2 + v*y and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 11:13 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266955 is divided by 88983?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 7. Let s be (-4)\/(-14) + 47\/7 + 1. Let y(u) = -u**3 + 10*u**2 - 17*u + 2. Let m be y(s). What is n(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 4:02 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 137327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 30647 divided by -165\nAnswer: -30647\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -7\/5 (b) -3\/4 (c) -3\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 3*t**2 + t**2 + 30*t**3 + 4*t**2.\nAnswer: 30*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 17 = -5*k, -13*k - 5*p = -14*k + 9. Suppose i - 365 = -k*i + 4*c, 4*c = -2*i + 146. What is the remainder when i is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51336163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2602849 is divided by 2602832.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24395)\/124950 - (-1)\/10.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -24. Suppose 4*w = 3*o - 23, -4*w + o - 1 = -6*w. Calculate the remainder when 48 is divided by -34*w\/i*-5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + 2\/(-2)*-1. Suppose 0 = d - 1, 0 = -5*t - 0*t - 3*d + 373. Suppose 4*i = -2*s - i + 46, p*s - 2*i = t. Is s a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z - 12 = -15*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2753202277 to the nearest integer?\nAnswer: 1402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 - 6*c - 6. Let k be u(-3). Solve 0 = -5*j - 15, 3*j - 18 = k*s + 8*j for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1424*y - 1824 = -400*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 875 = -3*d. What is the remainder when d is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3\/19 + 28174*i**2\/19 = 0. What is i?\nAnswer: -14087, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((5 + sqrt(448) + -1)*1 - ((sqrt(448) - -2*sqrt(448)*1) + (-1*sqrt(448)*2 - sqrt(448)))**2) + 2.\nAnswer: 9 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.0057, 5, -9, -1 in increasing order.\nAnswer: -9, -1, 0.0057, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*z + 2*j + 34, 4*j - 4 = -z. Solve 36 - 4 = z*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1798 is divided by 1685?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - 1 - 4) + (20 - 33) - -4?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(1452)*-4 + sqrt(1452))\/(-4*-1*sqrt(24)).\nAnswer: 187*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/37 - -359\/888. Let j = t + -1\/12. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b (base 15) in base 13?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**5 + 3*f**2 - 3*f**2 + (356*f + 523*f**4 - 356*f)*(69*f - 37*f - 14*f)*(5 - 5 - 1).\nAnswer: -9413*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -74 + 81.1. Let i = 7 - g. Suppose -95*f = -f - 22*f + 288. What is the closest to i in 1\/3, -0.3, f?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d - 1 + 1 + (1 + 1 + 0)*(0*d - 6*d + 4*d) - 4*d + 0 + 0 - 3*d + 0*d + 2*d)*(-99*d + 9318 - 9318)*(d**2 + 9*d**2 + 0*d**2).\nAnswer: 10890*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48.1544 + 0.0456. Let h = l + -56. What is h rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(144) + sqrt(144)*-2))\/(sqrt(108)*1 - -2*sqrt(972)).\nAnswer: -10*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 107384 (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -218 - -222. Suppose -l + 1 = 3*m. Let c be (-13)\/(-48) - 1\/3. Which is smaller: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -27, -22, -17, -12, -7, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128 = 75*b - 43*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1435 - 293 = -105*y - 958 for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in sixty-two sevenths of a week?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 11413002233?\nAnswer: -11413002303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 91560008 a multiple of 2804?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 10270 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m = -7*a + 8*a - 1, a = m + 1 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11100010000001011011 (base 2) to base 6\nAnswer: -31502015","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4720601 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (0 - -1) - (-5 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 + 122. Let t(s) = -s**3 + 11*s**2 - 12*s + 24. Let w be t(v). Solve -4*i - 3 = 5*o, 3*o - 20 + 9 = w*i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 751081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 10*g**2 + 3*g - 9. Let m(x) be the second derivative of -4 + 5\/6*x**3 - 7*x**2 - 6*x + 5\/4*x**4. Give -5*m(w) + 8*q(w).\nAnswer: 5*w**2 - w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5 - 9093\/(-1827))*(-126)\/(-4). Does -2 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41449.\nAnswer: 181, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 127670237?\nAnswer: 919, 138923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**6\/20 - 48*m**5\/5 - 2709*m**4\/4 - 18490*m**3 + 238521*m**2\/4 + 2265*m. Suppose k(i) = 0. Calculate i.\nAnswer: -43, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -86\/165 and -119\/60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 210849 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6678 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -70256 (base 10) in base 4?\nAnswer: -101021300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9304 - -344272\/37. Which is smaller: 1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 + 9*w - 10. Let f(d) be the third derivative of -5*d**4\/24 + 2*d**3\/3 - 6*d**2. What is the least common multiple of f(-2) and h(4)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 926643570 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 96107471 to the power of 1\/2, to the nearest integer?\nAnswer: 9803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**6\/6 - t**5 + 2*t**4 - 4*t**3\/3 + 2. Factor v(m).\nAnswer: m**2*(m - 2)**2*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 10*j**2 + 6 + 0*j**2.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*a**3 - 612*a**2 + 528*a + 1168 = 0. What is a?\nAnswer: -1, 2, 146\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by -1430161.\nAnswer: -72\/1430161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5887, -11776, -17665, -23554, -29443, -35332?\nAnswer: -41221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.12 or -0.01383?\nAnswer: -0.01383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -g + 80646 - 9220, 2*m = 3*g - 214278. What are the prime factors of g?\nAnswer: 2, 71, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (29 - (4 - 20))*4\/(-12). Suppose j = -2*p + 6*j, -5*j = p - 15. Which is the closest to 0.5? (a) u (b) -1\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6036\/11 or 549?\nAnswer: 6036\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 4*m + 23 = 7*c, 0 = 2*c + 5*m. Suppose -5*f + o = 3 - 9, 0 = -5*f - 5*o. Put c, f, 3 in decreasing order.\nAnswer: 3, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.101 in 1, 0, -4, -0.04, -51?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 1004*h - 31664. Calculate v(30).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, g: 4, u: 2, y: 4}. Give prob of picking 1 r, 1 u, and 2 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 140 (c) 30.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -12 - (63 - (68 + -2)) - (2 - -92)?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 729931057.\nAnswer: 17, 349, 7237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - k**2 - k. Let c(p) = 9*p**3 - 6*p**2 - 6*p. Calculate -c(y) + 6*t(y).\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 73616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -48*q - 34. Let p(s) = 32*s + 22. Determine 8*p(a) + 5*v(a).\nAnswer: 16*a + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(63)*2 + sqrt(63))\/(sqrt(9) - sqrt(54)\/sqrt(6)*-2).\nAnswer: 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16981 is divided by 629?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 1\/8, -5, -35\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59\/7 - 355\/28. Let o = 425627\/9333376 + -42\/923. Let w = o - 748297\/91008. What is the common denominator of n and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7069*-5.\nAnswer: 3.5345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 17 = -0*o + 3*o, 0 = -b + 3*o + 1. Suppose -i = -0*i - t - 7, 0 = -2*i + b*t + 18. Let u(k) = k**3 - 3*k - 7. Is u(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(255))\/sqrt(5))\/(sqrt(24)\/(sqrt(8) + sqrt(8) + sqrt(8) + sqrt(8) + sqrt(200) - sqrt(8)) + sqrt(3)).\nAnswer: -16*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -108, -32, -964, -6, -2 in decreasing order.\nAnswer: -2, -6, -32, -108, -964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 240 = -3*k + 8, -4*u = 4*k - 320. Let o = -74 + k. Let r(n) = 3*n**2 + 8*n - 13. What is the remainder when 71 is divided by r(o)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*l - 156 = -4*x - 149*l, -3*x + 102 = 4*l. Let j(s) = s**2 + 2*s - 7. Let a be j(5). What is the highest common divisor of x and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87817686?\nAnswer: 2, 3, 11, 73, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 + -27. Suppose 3*w - 372 = w - 2*k, 4*w = -k + 750. Suppose 0 = -2*r - 4*a + 8*a + w, 2*r = g*a + 188. List the prime factors of r.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 * 0.21\nAnswer: -4.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 - (-7)\/(-21)*18. Let t(r) = r**3 - 5*r**2 - 5*r - 7. Suppose -y + 2 = -0*y - n, -4*y + 2*n + 16 = 0. Let k be t(y). Sort 0, m, k in decreasing order.\nAnswer: 0, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j + 5. Let h be c(-5). Let w be (14\/(-124))\/(((-918)\/1044)\/(-51)) - -7. Is h != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26475 divided by 4?\nAnswer: -26475\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 + 45 + 151 - 64 + 38 + s**2 as m*s + z + w*s**2 and give z.\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1837, 6883, 15293, 27067, 42205, 60707, 82573?\n\"Answer: 1682*q**2 + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129 = l + 23. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 - 5. Let j(x) = -1 + 8 - 9 - 2 + 3. Give 4*j(s) - t(s).\nAnswer: 3*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 69.497*-4\nAnswer: -277.988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1905 divided by 1905\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1933248314 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 4*c - 15. Suppose -l = c - 25. What is the smallest common multiple of l and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -237127144.2208939 + 8.2208939. Let r = 237127123.2999913 + n. Let z = r + 12.7. What is z rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -3*i + 6*i - 27, 32 = 4*i - 2*x. Solve 4*q = -4, i*m + 6 = 4*m - 3*q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.07086 rounded to two decimal places?\nAnswer: 1.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 168 + 180 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 15*u**2 + 2*u - 8. Let k be n(15). Let x be 933\/9 - (-6)\/18. Differentiate k*i - 58 - 71 + x with respect to i.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 - -109. Solve 2*a + 3 = i - 0, -t*i + 15 = -a for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t + 1. Let a = -126 + 124. Give h(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -14*m. Let l(a) = -73*a. Give n(l(z)).\nAnswer: 1022*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22, 35, 58, 91, 134, 187?\n\"Answer: 5*q**2 - 2*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of -14*c**6\/9 - 32*c**5\/5 - 26*c**4\/3 - 16*c**3\/9 + 6*c**2 + 16*c\/3 - 156. Solve l(d) = 0 for d.\nAnswer: -1, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13 - -2) + (-7570)\/3028?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -719285*y + 54592*y - 209275*y.\nAnswer: -873968*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*20*4\/16?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 11. Let u be w(19). Suppose -4*j + 5*f = -6 - 10, u = 2*j + 3*f. Suppose -j*x = -4*x - 485. What are the prime factors of x?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 22*l - 37. Let u be (-12)\/(-4)*2\/(-15) - (-72)\/(-45). Let j(b) = 7*b - 12. Calculate u*y(o) + 7*j(o).\nAnswer: 5*o - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3391 * -0.0959.\nAnswer: -325.1969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 + 64*t - 40952. Determine f(173).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -15, -1, 2 in descending order.\nAnswer: 5, 2, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 3*p**2 + p - 2. Let b(q) = 4*q**3 - 118*q**2 - 4319*q - 6. Let l(y) = b(y) - 3*h(y). Find the second derivative of l(d) wrt d.\nAnswer: 42*d - 218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-seven fifths of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1566 (base 7) to base 13\nAnswer: -39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -65*r**2 - 2*r**3 + 65*r**2 - 5 in the form q*r**2 + l*r + m*r**3 + o and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 110. Suppose 3*o = -l*r + 7*r + 447, -3*r = 2*o - 273. Calculate the greatest common divisor of o and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -5\/2*o**2 - 1\/3*o**3 + 3 + 2*o. What are the prime factors of l(-4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccos. What is prob of picking 1 s and 1 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the second derivative of -67*x**4\/12 - 189*x**2 - 141*x. What is the derivative of y(m) wrt m?\nAnswer: -134*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8666201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*a**3 - 134*a**2 + 4634*a + 2?\nAnswer: -36*a - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2719728 divided by -13332?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 4*k - 3. Let z be h(3). Let d(j) = -2*j. Let a be d(z). Suppose 4*o - 2*l - 440 = 2*l, a = -3*o - 4*l + 337. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23262 and 9564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, z: 6}. Give prob of picking 2 z and 2 h.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 9078922 to the power of 1\/3, to the nearest integer?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -t + 2*o - 0, -9 = -2*t - 3*o. Let y(d) = 4*d**2 + 3*d**2 - 4 - d + t*d**2 + 0*d. What is the tens digit of y(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -11*d**2. Suppose -3*n + 9 = -0*n. Let r(a) = 2*a. Let c(w) = -4*w. Let j(p) = n*c(p) + 5*r(p). Give j(i(l)).\nAnswer: 22*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {z: 11, u: 1, y: 2}.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 104244 and 2250?\nAnswer: 39091500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 484 - 6c2?\nAnswer: -23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0 - 1 = 4*v, 0 = -z + 5*v + 25. Suppose -z*d + 12 = -d. Solve 2 = -b - d for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 5*t**2 + 6*t**2 + 2*t**3 + 14 + 11*t. Let k be n(-10). Solve -3*d - 10 = -p, -p + k + 12 = -5*d for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 11*o + 9. Let v(a) be the first derivative of 5*a**2\/2 + 4*a - 2. Let d(q) = 3*l(q) - 7*v(q). Calculate d(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*p - y - y, p + 25 = -4*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/3))**(-33)\/(o\/(o*o*o\/o**(3\/5)*o)*o**11) assuming o is positive.\nAnswer: o**(-153\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3671383 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 o(c) be the second derivative of c**7\/180 + c**6\/360 - c**5\/120 - c**4\/4 - 15*c. Let r(x) be the third derivative of o(x). Calculate r(1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -8320\nAnswer: -33280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.331804cm in nanometers?\nAnswer: 43318040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**3 + 22*w**2 + 88*w + 98. Let a(l) = -2*l**3 + 25*l**2 + 88*l + 99. Let q(k) = -2*a(k) + 3*z(k). Factor q(u).\nAnswer: -2*(u - 12)*(u + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -38*w + 6 - 46*w - 6 as f*w + y and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8344?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 115*t - 33*t - 51*t + 145*t - 2*t**2 to g*t + v*t**2 + x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -3 + 2 - 4) + -82 + (690 - 585)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2590398563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (8\/18)\/(4 + 132\/(-54))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -10*d - 10. Let p = -148 - -141. Let n(a) = -7*a - 7. Give p*n(j) + 5*r(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, w: 7}. Give prob of sequence iii.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 1277*j**2\/2 + 385*j - 2225. What is the derivative of q(z) wrt z?\nAnswer: 1277","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1990, 3, 2 in increasing order.\nAnswer: 2, 3, 1990","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 5:43 PM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - (34 + 83 + -129).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of -b**6\/30 + b**5\/20 + b**3\/6 + 3044*b**2. What is i(2)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 102495?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17172, 34342, 51512, 68682?\nAnswer: 85852","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143063027 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 AM and 7:16 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90627 is divided by 342?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 221*h**3 + 5*h**2 - 198. Let z(t) = 332*t**3 + 7*t**2 - 297. Let k(d) = -7*a(d) + 5*z(d). Differentiate k(l) wrt l.\nAnswer: 339*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-206 - 159 + 77)*(-97 + q - 4*q + 100).\nAnswer: 864*q - 864","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17397355 + 1062645. What is r rounded to the nearest 1000000?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**4 - 7*w**4 + 4*w**4 + (4*w**2 - 3*w**2 + 0*w**2)*(0 + w**2 + 0).\nAnswer: -8*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4\/9 (b) -4 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2026 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: How many minutes are there between 3:49 AM and 12:16 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 8\/3, 12, -2\/5?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 102*f**5*m - 1318*f**3*m + 2*f**2*m + f**2 + 21*f*m + 2022*m + 2 wrt f.\nAnswer: 6120*f**2*m - 7908*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(567)*-1 + -5*(sqrt(7) + sqrt(49)\/(sqrt(7)*-1)).\nAnswer: -9*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (73 + 10 - 22 + 149)*(0 + 2*y + 0) to p*y + s and give p.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45 - 45. Are 0 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6*(-8)\/12 - -4900004. What is j rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0. Let w(j) be the third derivative of 13*j**5\/60 - j**3\/6 + 6*j**2. Let z be w(h). What is the greatest common divisor of z and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 - 6*y**2 + 7*y + 5. Let s be m(-7). Suppose -8*o = -s*o - 27. Is 2 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 23 + -15 + 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*w + 824 + 2253. Let o(v) = 358*v + 1 - 176*v - w*v. Let y(l) = -l**2 - 5*l - 5. Give -10*o(h) - 2*y(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1004 - 11?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 875665537 a multiple of 300?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 7*h. Let u = 394 - 392. Let v(k) = u*k + k + 1762*k**2 - 3*k - 1746*k**2. What is j(v(b))?\nAnswer: 112*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/((p\/((p\/(p\/(p\/(((p\/(p\/(((p\/(p\/p**(1\/2)))\/p)\/p)))\/p*p)\/p))*p))\/p))\/p)*p))**28\/(p\/(p*p**(-39)))**(-8) assuming p is positive.\nAnswer: p**242","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 15. Let p be (r + -5)\/(24\/(-12)). Suppose 7*l = p*l + 108. Is 9 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2*m. Let t(g) = 7*g + 195. Calculate 2*t(y) + 6*w(y).\nAnswer: 2*y + 390","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**3 - 122*g**2 - 3. Let i(x) = 4*x**3 + 121*x**2 + 2. Give -3*i(u) - 2*q(u).\nAnswer: -2*u**3 - 119*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -25072.786 times -0.5\nAnswer: 12536.393","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-5 - 126\/(-35) - -1)*-240 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 + 0)*(-33*o + 14*o - 21*o) + (-1 + 1 - 4*o)*(-1 - 6 + 5) + (0 + 1 + 0)*(-4*o - 3*o + 5*o) + (0 + 3 - 2)*(-6*o + 5*o + 3*o).\nAnswer: -112*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 2*s**2. Let x(c) be the second derivative of 4*c - 11\/6*c**3 + 0*c**2 + 0. Determine x(r(o)).\nAnswer: -22*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/143396 and 131\/4575636.\nAnswer: 50331996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 24.4 + 7.6. Let n = -31.87 + q. Let o = -0.27 - n. Sort -1\/3, -3\/2, o in decreasing order.\nAnswer: -1\/3, o, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (279\/3348)\/(3\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of d**6\/6 + 48*d**5\/5 + 171*d**4\/2 + 904*d**3\/3 + 969*d**2\/2 + 360*d - 1516. Factor t(c).\nAnswer: (c + 1)**2*(c + 3)**2*(c + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 126009387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 a when three letters picked without replacement from gkggagaaaaggagggggg?\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 31*l + 21. Does 38 divide c(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2581 = 14*j - 139*j - 81 for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1a4891 (base 11) in base 10?\nAnswer: 313853","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**2 + 6*q + 2. Let s be r(6). Let c(w) = 4*w**3 + 3*w**2 - 3*w + 1. Let v be c(1). Suppose -9*b = -13 - v. Is b at most as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*i + 53*i + 50 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66832.\nAnswer: 2, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-930)\/(-25))\/((-8)\/(-20)). Suppose 237 = -4*c + n. What is c rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/178796 and 63\/8?\nAnswer: 357592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**2\/4 + 5751757*p\/4 - 2875879\/2 = 0. What is p?\nAnswer: -5751758, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -421 + 0.4.\nAnswer: -420.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 4, -2, -51?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bqbggbggbcgqqg. Give prob of picking 2 g.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 10:11 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1119*b - 14118 - 2667 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t + 48*t + 2813 = -1155 + 944 for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 7854, 11592, 15330, 19068, 22806?\n\"Answer: 3738*l + 4116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 - 533\/26 - -4. Does 10 divide (l\/12)\/((-32)\/11976)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**4 + 142*s**3 - 1934*s**2 - 22542*s + 24336 = 0.\nAnswer: -8, 1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 k, and 1 p when three letters picked without replacement from {c: 3, k: 1, p: 4, r: 2, b: 2}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-5))\/((-153)\/(-45)*-5)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 70876716 divided by -3\nAnswer: -23625572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.9 + -4.092. Let o = 0.092 + y. Which is the third smallest value? (a) o (b) 3\/5 (c) -9\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thnnhthhtht. Give prob of sequence nh.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -468 by 39.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 102 - 842. Let z = -746 - b. Let o(y) = 9*y**2 + 23*y - 6. Let s(f) = -3*f**2 - 8*f + 2. What is z*o(u) - 17*s(u)?\nAnswer: -3*u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 6:22 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k**5 - 12*k**2 + 12*k**2 - k**4 + (-k**4 + 4*k**4 - 5*k**4)*(4*k - 5*k - k).\nAnswer: 7*k**5 - k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12887 is divided by 5588?\nAnswer: 1711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 > 31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 26288\/75578*3\/(-2)?\nAnswer: -12\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 47960227 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11448 + -11403. Solve h*d - 56*d = -11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4\/5 - 56*u**3 + 10336*u**2\/5 - 36992*u\/5.\nAnswer: 2*u*(u - 68)**2*(u - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 643900.\nAnswer: 2, 5, 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3364 + -2003. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k**3\/4 - 143*k**2\/4 + 87*k\/4 + 63\/4 = 0.\nAnswer: -21, -3\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 18 + 130. Let h = -71 - i. Sort -1, 2, h, 0 in ascending order.\nAnswer: -1, 0, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*w**3 + 0*w**3 - 2*w**3)*(-6 + 1 + 3) + 768*w**2 - 768*w**2 - 22*w**3 as u*w**3 + v + d*w + y*w**2 and give u.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of h**6\/120 + h**5\/30 - h**4\/6 - 4*h**3\/3 - 28*h**2. Find g such that b(g) = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -6. Let o = 14 - 13.6. What is the third biggest value in a, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 39.445 to zero dps.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**4 + 0*v**4 + 0*v**4)*(-2*v + v - 23 + 6).\nAnswer: -v**5 - 17*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -407 - -415. Suppose -5 = -5*v, w*c + 3*v = 3*c + 13. Solve m = -4*i - c*m - 22, 2*i + 5*m = -18 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/22 + 20\/11. Solve -3*j - d*c + 0 - 23 = 0, 2*j = c - 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262887?\nAnswer: 3, 87629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 - 42*v - 134. Let u be w(-17). Suppose -3*s + 8 = s. Solve s = 3*k - u*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 9*p - 42. Let a be q(5). Solve -a*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 73792075.\nAnswer: 73792070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 220 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b + 1. Let x(c) = 2 + 4 + 5*c - 5. Suppose -l + h = 0, -8 = 3*l + 3*h - 2. Determine l*x(k) + 3*i(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02601324668 to three dps.\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + ((sqrt(448) + 3 + 2*sqrt(448))**2 - sqrt(448))).\nAnswer: -24246 - 816*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7950249107?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) -352 (b) 5 (c) -1\/5 (d) 30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4*h + 12 = 2*j, 0 = -3*h + 4*j - 23. Let k be -2 - (1 - h)*-1. Suppose k*g = -r + 2*g - 2, -5*g = r - 26. 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 w(b) = -b**2 - 4*b + 3. Let j(n) = n**2 - n + 5. Suppose 0 = -3*o + o. Let l be j(o). Let u(v) = -v**2 - 5*v + 4. Determine l*u(a) - 6*w(a).\nAnswer: a**2 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) -0.5 (c) -1\/15 (d) -102\/5 (e) 6\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -270\/33811 + -2369434049\/879086. Let w = 2695 + j. Let a = 2\/13 - w. What is the third smallest value in -2\/3, 4, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llsj when four letters picked without replacement from {l: 7, s: 1, p: 1, b: 3, j: 2}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11204012 (base 5) to base 16\nAnswer: -1889b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -9 + 23. Let l(f) = -44*f + 139. Let n be l(3). Calculate the greatest common factor of i and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1695 and 1043440305.\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 258\/26 + 80\/(-8)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 greater than 1339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264271406.\nAnswer: 2, 7, 2696647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4 + 4*y**3 - 4*y**2 = 0. Calculate y.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 5*k - 8 = -35, -5*k - 25 = 0. Suppose 2*n - 4*p = 31902, -2*n - n + o*p + 47845 = 0. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 4\/((-616)\/(-1841)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 5*a + 16 = 0, 5*a - 9 + 28 = 4*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 16068 and -2690.9.\nAnswer: 13377.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92*(-8)\/(-640) + (-1)\/(-4))*6\/3?\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.1, 3\/4, -0.2, 228, 10?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 60 = 7*c - 3*c, -79139*n - c = -79127*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8237673 and 120258.\nAnswer: 16475346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 + -310?\nAnswer: -304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -515, -577, -653, -749, -871?\n\"Answer: -h**3 - h**2 - 52*h - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the second derivative of h**3\/3 - h. Let i(s) = 0*s**2 - s**2 + 3*s**2. Determine m(i(c)).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/2002 and -29\/99.\nAnswer: 18018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 265 = 2*j, -n = -3*j - 75 - 25. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**4\/8 - m**3 - 2*m**2. Let y be o(5). Let h(n) = -4 - 4*n**2 + 2*n - 5*n - n**3 + y*n**2. What is h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73 + -40. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17999*r + 9323493. Give n(518).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/127787 and -1\/23234.\nAnswer: 255574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 3. Suppose -3*g - 21 = -3*n, -38 = 3*g - 5*n - p. Let i(c) = 2*c - 3. Let b(d) = d - 1. Give g*b(v) + i(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -57 (base 16) to base 14\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 4*u - 2848, 5*k + 3*u + u = 4736. Let j = -265 + k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 2*c**2)*(1 - 2*c - 1) - c**3 + 170*c**2 - 170*c**2 + (2 - 3 + 2)*(-1 + 1 - 2*c**3) as h + z*c**3 + w*c**2 + n*c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(4 + (-3*sqrt(56))\/sqrt(8)).\nAnswer: -18*sqrt(7) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 10. Suppose -2 = -y, 5*y = -5*v - 0 - 10. Let p be b(v). Let n be 15\/2*(-1)\/(-3). What is the third smallest value in n, p, 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) -5 (b) 1 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 72565.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - 7 + 15. Is (c\/16)\/(2\/1304) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15329612662 minus 2?\nAnswer: 15329612660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s. Let b(k) = -7*k - 9. Let y be (-12 - -11)\/((-2)\/(-18)). Let q(v) = 3*v + 4. Suppose -n - 8 = n. Let m(u) = n*b(u) + y*q(u). What is m(j(p))?\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u, -3*k - 3*u = -16 - 8. Suppose -r - k = -5*p - 4, 5*r = -p + 84. Suppose 4*h - r = 124. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 3, -2, -10 in decreasing order.\nAnswer: 5, 3, 0, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7004 - 6872. Calculate the highest common factor of i and 1254.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 8*f**2 - 20*f - 3. Let s be c(-10). Let v(h) = -14*h + 12. Let r(j) = 9*j - 11. Let u(n) = s*r(n) - 2*v(n). Calculate u(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b**2 + 6*b + 15. What are the prime factors of j(-8)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qjtntmxxnttqt. What is prob of picking 1 j and 1 t?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -231. Let f = -73 + h. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 10:37 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4050) - 3*sqrt(4050)*-1)*3.\nAnswer: 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 5 - 6 - -8)\/((-15)\/(-35))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1490?\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 2:40 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + l = -3, -c - 5*l - 3 = 12. Suppose -5*a = -c*a - 20. Is (-2)\/a - 356\/(-8) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/38775 and 88\/17625.\nAnswer: 193875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10976 = -2655*p + 2431*p for p.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6 + 1 + 2 and 180\/(-630)*(-219)\/(-30).\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - -29)\/((-18)\/(-234))?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 9:40 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 17\/4 of a kilometer?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 + -17 - (6 + -1))*298\/(-447)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -694458, -2778233, -6251316, -11113701, -17365382?\n\"Answer: d**3 - 694660*d**2 + 198*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 1:23 AM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22482.\nAnswer: 2, 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -209, -1052, -2457, -4424?\n\"Answer: -281*l**2 + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8 + 6)\/(-24))\/(1\/38). Let y = 513 - 1553\/3. Let r = g + y. Is r greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2515142 and 3745.\nAnswer: 12575710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 - (1 + -3 + 3) and 4\/((-4 + 3)*-4) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45720 - 24644 + 1632 = -1428*r + 39796 for r.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1.870458t?\nAnswer: 1870458000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times 172733?\nAnswer: 5181990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/42)\/(20\/(-140)). Suppose 43 = -2*k - g, 3*g + 0*g + 9 = 0. Let r = 77\/4 + k. Which is the third biggest value? (a) z (b) 4\/7 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/5 at least -7\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1442 or 1352?\nAnswer: 1352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 115*t - 125*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*b)*(-2*b + 5*b - b + (-1 + 5 - 5)*(3*b - 3*b - 2*b) + 0*b - b + 2*b).\nAnswer: -15*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 793 - 798. Let n(y) = 4*y + 4. Let z(l) = 3 + 5*l + 3 - 1 + l**2. Let i(g) = c*n(g) + 4*z(g). Let h(f) = -4*f**2. Calculate i(h(x)).\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 42*g + 9*g + 23*g - 15 - 3*g. Let y(h) = -68*h + 15. Let n(c) = -5*m(c) - 6*y(c). What is the derivative of n(k) wrt k?\nAnswer: 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -34, -44, -66, -106, -170, -264, -394, -566?\nAnswer: -786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 - 2 = -4*w. Which is the nearest to w? (a) -3 (b) -2 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3102552?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5}. What is prob of picking 3 m?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -4*d + 2, 4*d - 45 = -i - 35 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.54 * 0.4\nAnswer: -0.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + -4 - 2) + 1 - 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57623208 and 1776.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 4*f - 43. Let r be s(-8). Is r greater than -485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-20))\/((-51)\/85). Factor 0 - g - 4*g**3 + 2*g**4 + 10\/3*g**2 - m*g**5.\nAnswer: -g*(g - 3)*(g - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*y - 20*y + 44*y.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 5*j = 25, -146*u + 68*u - 90 = -75*u - 32*j for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38962 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, l: 1, r: 8}. What is prob of picking 1 s, 1 l, and 2 r?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1135*d**2 + 1135*d**2 + 138*d**3)*(2 - 2 - d).\nAnswer: -138*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53789668.\nAnswer: 2, 197, 68261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12)*(-26)\/13.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-28) - (-12)\/7. Let w = -1 - -3. What is the highest common factor of w and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54 + 53.561.\nAnswer: 107.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65311441 and 221?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -176.3 in 1\/2, -9\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 56687102*r**3 - 20*r**2 + 52532*r - 27 wrt r.\nAnswer: 340122612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*k + 2*d + 116, 4*k = 3*d + 150. Is k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5371 = 5*r, 3*f = 48*r - 41*r + 5311. Does 18 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 2:34 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3 + (-1 - -1) + 322 + 8. What is the greatest common factor of 9 and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 70 (c) -1.31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (1 - -4 - (-92 - -104))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 145 and 29?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.27 in -12, 3, 2, 3\/7, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b + 10. Let i be m(-1). Let a(y) be the second derivative of 0*y**3 + 0 - 1\/6*y**i + 0*y**2 - 4*y. Let j(d) = -d. What is j(a(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) 0 (c) 2\/13 (d) 1.7 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 (base 11) in base 2?\nAnswer: -10010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0088 and -2143330406?\nAnswer: 2143330406.0088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 2*v + 32 = -h, -3*v + 3*h - 12 = 0. Let m = v - -15. Suppose -m = 3*b - 18. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**3. Suppose 0 = 5*p - 2*r, 4*p + 3*r = -p - 25. Let n(c) = -4*c**3 - c**2 - c. Let j be (-4)\/((-12)\/30*2). Calculate j*f(z) + p*n(z).\nAnswer: -2*z**3 + 2*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -616 (base 8) to base 14.\nAnswer: -206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 111*q + 0*q**2 + 2*q**2.\nAnswer: q**2 - 111*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, -2, -44, -122, -248, -434?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 67*l + 4. Let b(c) = 1. Let t(x) = -3*b(x) + z(x). Let q be t(-2). Let g = 191 + q. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 455 (base 6) to base 14.\nAnswer: cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - -10) + (5 + -20 - -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*i + 2 + 2, -2*p = -2*i - 20. Let f = 98 + -89. Solve -12*j = -f*j + p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 0, -5, 4 in decreasing order.\nAnswer: 29, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 152 + -151.8. Which is the third biggest value? (a) 5 (b) -3 (c) l (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-30)*2*(-3)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10 or -9.4?\nAnswer: -9.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60455 by -12091.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2040, 3.\nAnswer: -11, 3, 2040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2315 is divided by 1901.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**4 + 509*s**2 + 0*s**3 + 2*s**3 - 509*s**2 - 35 - s as q*s + c*s**3 + n*s**4 + p*s**2 + r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7093973 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 4 + 1552*a**2 - 1549*a**2 - 15. Let z be b(6). Let y = z + -45. Does 17 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the first derivative of -3*g - 3*g**2 - 7\/4*g**4 + 0*g**3 + 24. Let i(r) = 20*r**3 + 17*r + 8. Give -6*i(j) - 17*o(j).\nAnswer: -j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 1128*m + 1011. Determine v(-1).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-42)\/(-28) + 138\/4. Let n = h - 92. Let l = n - -65. What is the second biggest value in -2\/7, 1\/3, l, 1\/4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11921843?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2531215.9*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -39213 + 2\nAnswer: -39211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**0\/m)**(7\/9)\/(m*m*m\/((m**(-3\/8)\/m*m)\/m)*m*m\/(m**3*m)*m))\/((m**(-2))**(2\/65)\/(((((((m**0*m)\/m)\/m)\/m)\/m)\/m)\/m)**(4\/9)) assuming m is positive.\nAnswer: m**(-3283\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41.041 - 0.741. Let x = 44 - y. What is x rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -48 in -1\/2, -23, -0.04, 4\/7, 2\/27?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (724\/180 + -4)*(1 - (-6 - 9) - 10)?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*g = -119*g - 3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j = -277 - 13331. Suppose 11*q + 7*q = j. Suppose 2*t - 9 - 47 = 5*l, 0 = 4*t - 4*l - 136. Calculate the remainder when t is divided by q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (73 - 30) + (-12 - 15) + 66?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7023 - 84227\/12. Let a(x) = 13*x**3 - x**2 - x + 3. Let q be a(4). Let f = 13061\/16 - q. What is the common denominator of k and f?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 6*g**3 + 81*g**2 + 31*g + 32. Calculate the remainder when 380 is divided by v(-13).\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 32 = -r, 0*f - 2*f - 138 = -4*r. Suppose -30 + r = t. What is the second derivative of -26*z - 5443*z**2 + 5443*z**2 + t*z**4 wrt z?\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6*k + 2)*(2*k - k - 3*k + (6 - 3 - 4)*(-4*k + 3*k + 3*k)).\nAnswer: -24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6961.0005493 + -6961. What is r rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*s + 41 = -652*s - 3*f, 5*f = 22*s + 413 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6448 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7672, 15732, 23792, 31852, 39912?\n\"Answer: 8060*s - 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttu when three letters picked without replacement from {u: 2, n: 2, t: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-50*(-3)\/(-60))\/((-4)\/(-8)*(-2)\/30)\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -201222 + -10?\nAnswer: -201232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 at least 667?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -49, 3\/5, -1\/111, 6 in ascending order.\nAnswer: -49, -1\/111, 3\/5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(26\/4 + (-66)\/11). Let x = -7897\/5 - -896093\/570. Let f = 22\/3 + x. Are d and f non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 minus 22728347844?\nAnswer: -22728347845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 727*r + 759*r + 2)*(-15*r**2 + 0*r - 4*r + 7*r) to the form v + y*r**2 + b*r + d*r**3 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*z + 136 = 0, -18*z + 15*z = -2*u + 69. Suppose -4*q + 3*q - 4 = 0, 2*x = 3*q + 56. Calculate the greatest common divisor of x and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**4 + 12394*l**3 - 750386*l**2 + 2840342*l - 2102352 = 0. What is l?\nAnswer: -6257, 1, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-9)*l*l))\/(l**0*l*l))\/((l**(-11)*l)\/l**(4\/5)) assuming l is positive.\nAnswer: l**(84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1224 + 4?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azaxaazxazakzkakkk. What is prob of picking 2 z, 1 x, and 1 k?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 73192?\nAnswer: 73192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x**4. Let m(a) = -5*a**4 + a. Let b(r) = -r + 1. Let k be b(7). Let z(q) = k*m(q) - 5*p(q). What is the second derivative of z(d) wrt d?\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, 34966, 9 in decreasing order.\nAnswer: 34966, 9, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2951 + -2938. Sort n, 6, -0.5 in increasing order.\nAnswer: -0.5, 6, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-100)\/65)\/((-1398)\/27261)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = -j - 22, 8 = -4*b - 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1450 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -4 + 3 + 2*s**2 - 343*s**3 + 297*s**3. List the prime factors of a(-1).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 11*q + 4. Let p(y) be the second derivative of -2*y**5\/5 - y**4\/4 - y**3\/2 - y**2\/2 + y - 19. Let g be p(-1). What is j(g)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + s + 10. Determine c(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**3 + w**3 - 2*w**3)*(1 - 2*w - 1) + w + 0*w + 3*w**4 - 2*w**4.\nAnswer: 7*w**4 + w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 438 = x. Suppose 0 = -44*l + 66*l + 22. List the prime factors of ((1*x)\/3)\/(-2 - l).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 79a?\nAnswer: 7a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (13 - 11 - (11 + -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 496441 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 73 in 4\/23, -12.9, -1?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1461 + 1461 + 14*n to the form j + i*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 126505760 rounded to the nearest one hundred thousand?\nAnswer: 126500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 3*q - 12 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(117) - (sqrt(13) + 5*sqrt(52)).\nAnswer: -8*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, -1, -10 in ascending order.\nAnswer: -10, -4, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*o - 10 = -35*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 92937293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26820)\/(-84) - 7 - (-2)\/28*-4. What is the greatest common divisor of w and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7 (b) -48 (c) 2025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 * -23.622.\nAnswer: -2.83464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 55*r - 696 = 61*r, 3*r - 12 = 0. Put -3, 5, 23, m in descending order.\nAnswer: 23, 5, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcisdccccldc. Give prob of picking 2 c.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkwkkcocw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5144972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/3)*g))**(-11\/6)*g**(-2\/7)*g*g*g*((((g\/(g\/g**7))\/g)\/g)\/g)\/g assuming g is positive.\nAnswer: g**(437\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*o + 27 = 6, 0 = -5*b - 4*o + 119. Suppose 0 = -22*v + b*v. Let i be v + 2\/4 + 399\/42. What is the highest common divisor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/12 + 26\/(-156)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 6:56 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29268561 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 4*h - 72 - h.\nAnswer: -2*h - 72","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 65151\/99 - 10\/(-2). Let t = -665 + c. Factor t*r**3 + 0 + 6\/11*r**2 + 9\/11*r.\nAnswer: r*(r + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/9)\/((-2)\/222). Let r = d + -25. Let t(h) = 7 - 2*h + h - r. Determine t(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9*(-148)\/(-24))\/((77\/(-308))\/((-4)\/(-12)))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 29647 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 48\/(-120) - (-12)\/5. Suppose -x*c + 971 = y + c, c + 1942 = 2*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3425256870 to the power of 1\/5, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 14 = -5*l, -3*v - 5*l = -4*l + 21 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 2*d + 9. Let b be k(0). Put 3, -1, 1, b in descending order.\nAnswer: b, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y + 5. Let o(w) = -w + 10. Let d be o(7). Suppose 3*s - 20 = 4*z, 0 = -3*z - d*s - 23 - 13. Let k(p) = p - 2. Determine z*k(h) - 3*a(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 10*l**2 + 40*l - 208. Let j be p(3). Let q(i) = i**2 - i - 1. Let a(b) = 4*b**2 - 2*b - 2. Let h be 1\/(-2) + (-2)\/4. What is h*a(x) + j*q(x)?\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 5, c: 8}. What is prob of sequence zzc?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(34)\/sqrt(2))**2 + sqrt(17))*-6.\nAnswer: -96 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1890 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 - 8*h**2 + 15*h - 3. Suppose 0 = 5*z - 3*n - 15, -3*z + 2*n = -2*z + 4. Does 5 divide c(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -478*r + 188 + 234*r + 219*r + 40*r**2 wrt r.\nAnswer: 80*r - 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -2*j + 9943 + 234364, 0 = 4*f - 3*j - 195464. What are the prime factors of f?\nAnswer: 131, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16407\/28 or -587?\nAnswer: -16407\/28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1668 - -1736.1. Let f = m + -65. Let r = f - 3.10000011. Round r to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1911 by 1457.\nAnswer: -1911\/1457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -7*s + 20. Let z be s*(-3)\/(-18) - (-1456)\/78. Solve -3*u + y = u - z, 3*u - 2*y - 13 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from ggvvvv.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1042 - 356. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the third derivative of -h**8\/6720 - h**7\/504 - h**6\/720 - h**5\/40 + h**4\/24 - 3*h**2. Let i(s) be the second derivative of g(s). Determine i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316583935?\nAnswer: 5, 31, 2042477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 7*l**2 + 15*l + 5. Let k(m) = 4*m**2 + 7*m + 3. Let a be 1*(1 - (6 + 0)). Determine a*k(n) + 3*h(n).\nAnswer: n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**2*k**3 + 8*g**2*k - 1548009*g**2 + 4577593*k**3 + k**2 wrt g.\nAnswer: 2*g*k**3 + 16*g*k - 3096018*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 260826681?\nAnswer: 3, 311, 279557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24302 divided by 4?\nAnswer: 12151\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**3 + 2*d**3 - 3*d**4 + (-3 - 1 + 2)*(d**4 + 2*d**4 - d**4) - 2*d**4 + 5*d**4 - 4*d**4 + 402*d**4 - 204*d**4 - 205*d**4.\nAnswer: -15*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r + 3. Let u = 16 - 13. Let a be k(u). Solve -4*q = 3*n + 6 - 4, a = 3*q + 2*n + 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y - y + 3*y + y**2 + 1 + y. Let x(d) = 5*d**2 + d + 2. What is 3*o(c) - x(c)?\nAnswer: -2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*5809175.\nAnswer: -5809175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/2)*q*q**3\/q*q**(-7)\/q**(-2\/11))**(1\/20) assuming q is positive.\nAnswer: q**(-19\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 + -4 + 1 + 4. Suppose n = -14*m + 16*m + 26. Is -7 < m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.105 to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 462\/4*(3 - 5). Let d = p - -237. Let k be (-1 + 1)\/(0 - 1). Solve 2*o = -k*o + d for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07 in -4, -0.3, -1, -3, -1.2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1125 + 574 - -617) + 1 + (11 - 1).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -445, -3, 34\/737 in decreasing order.\nAnswer: 34\/737, -2\/5, -3, -445","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of 0 + 19\/8*h**4 - 63*h**2 + 0*h + 221\/6*h**3. Differentiate b(j) with respect to j.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1212022221 (base 3) to base 5\nAnswer: 2133231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 5 = 5*p - 31, 2*b + 3*p = 18. Suppose b*r = 23 - 2. Solve -3*u = 4*v + 1, -2*u + 3*v + r - 2 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**6\/360 - c**5\/40 + 2*c**3 - 17. Let r(h) be the third derivative of w(h). Let i be -5*(6\/10)\/(-1). Calculate r(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 8. Let b be o(11). What is the smallest value in -4\/3, b, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 16) to base 13.\nAnswer: -2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 - -0.3. Let k = -16303 + 16303.2. What is the nearest to k in f, -0.2, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*-4 + sqrt(13) + sqrt(13) + -5)**2.\nAnswer: 300*sqrt(13) + 11725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.3 - -0.1. Let c = d - 2.8. What is the second smallest value in -4, -0.4, c?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/30 - 5\/(-15))*10. Solve -2*i + 9 = -5*i, o*j - 26 = 2*i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/135)\/((-10)\/60). Factor -4\/3*m - 1\/9*m**3 + 2\/3*m**2 + x.\nAnswer: -(m - 2)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**5 - 233*f**4 - 111*f**3 + 578*f**2 - 232*f = 0. Calculate f.\nAnswer: -116, -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.58 - -2.98. Let s(z) = -8*z - 60. Let l be s(-8). Which is the smallest value? (a) l (b) 8 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -3123.4526?\nAnswer: -12493.8104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b68 (base 13) in base 3?\nAnswer: 212202122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000452233 rounded to 6 dps?\nAnswer: -0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 8*i + 53. Is 2 a factor of b(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50636262?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 560\/(-48))\/((-10)\/30)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v - 10*v = -21*a - 57, 4*v = 3*a + 17 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 225?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 - 8. Let t = 10 + -5. What is the remainder when t is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 172131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {n: 3, v: 2, b: 4, o: 6, a: 2, j: 1}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9015182 nanograms to milligrams.\nAnswer: 0.0000009015182","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**3 - 5*d**2 - 2*d + 7. Let k be m(-3). Suppose -4*b - 26 = v - 3*b, -4*b - k = 3*v. Let t = v + 69. List the prime factors of t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**3 - 252664350 + 252664350.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 4) + 1 - 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of 1\/3*k**3 + 0*k**2 + 5 + 0*k. Let v(x) = -x**2 + 2*x**2 + x**2. Determine f(v(n)).\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 159430690.\nAnswer: 2, 5, 29, 79, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45584, -91713, -138386, -185603, -233364, -281669?\nAnswer: -330518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 16624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7953 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*o**2 + 188395*o + 94200.\nAnswer: -5*(o - 18840)*(2*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, c: 2, j: 1, o: 8, x: 1, l: 3}. What is prob of sequence moll?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10\/27 - 53\/216. Find the common denominator of t and -35\/64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + u + 1 = 0, 2*y + 1279*u - 1282*u = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1382*x**2 - 697*x**2 - 688*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -419b (base 12) to base 2\nAnswer: -1110000000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.85 rounded to one decimal place?\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 s when four letters picked without replacement from {a: 6, j: 1, o: 2, r: 4, s: 3}.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1033011210 (base 4) to base 7.\nAnswer: -2516301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**2 - 8*s**2 + 6*s**2.\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/2 and -3\/34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 16.9, -1, -5\/4 in ascending order.\nAnswer: -5\/4, -1, 16.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l**3 - 2*l - 3*l**2 + 0*l + 3*l - 2 + 9*l**2 to the form t*l + b*l**2 + r + j*l**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 620267451 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 418187968 - 418255874.0983. Let q = t - -67903. Let p = 3.1 + q. What is p rounded to four decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -4. Suppose -4 = -b*h + 4*j + 12, -4*h = 5*j - 42. Solve -23 = 5*r - h for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -8, 6\/508645.\nAnswer: -8, 0, 6\/508645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*sqrt(12)*3)\/(sqrt(400) - (sqrt(400)*1 + sqrt(400))*4).\nAnswer: 12*sqrt(3)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 6*v**3 + 2*v**2 - 4*v - 5. Let g be x(-2). Let t = 41 + g. Suppose -5*j + 46 = -34. Solve -4*l + t*s = j, 5*s - 14 = 4*l + 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*(1 + sqrt(200) + -1*sqrt(200) + (1*sqrt(200) - sqrt(200) - sqrt(200)) + 0)*-5)**2.\nAnswer: -72000*sqrt(2) + 723600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 3\/4, 7.82, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o**2 - 5*o - 5. Let n(d) = -d**2 - d - 1. Let c(i) = -3*i + 151 - 10*i - 28 + 34*i. Let a be c(-6). Calculate a*n(q) + v(q).\nAnswer: -q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.69?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12564482*m**3 - 1136857*m**3 - 13966246*m**3.\nAnswer: -27667585*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*t - 13*t - t = -2913 + 429 for t.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21101220112 (base 3) in base 4?\nAnswer: -203211011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 2*h + 16 = 0. Let x be 14\/(28\/(-40)*-5). Put h, -4, -1, x in descending order.\nAnswer: x, -1, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -13. Suppose 0 = 11*i - 10*i - 5*j + 17, 3*j - 3 = -3*i. Let k(z) = -z - 13. Determine i*k(n) + 3*f(n).\nAnswer: 2*n - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + 2. Let n = v + 4. Let s be 8\/n*6\/(-4). Which is the nearest to -1? (a) -1\/5 (b) 0 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -35. Suppose 0 = -c + 3*j - 5 + l, -4*j = -3*c + 7. Sort c, 0, 3 in increasing order.\nAnswer: c, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:59 PM and 4:02 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/6 and 22\/421.\nAnswer: 2526","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + ad?\nAnswer: b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-64)*(-12)\/(27*1\/(-3)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/2 in 12\/11, -168, -1\/4, -0.03, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 256, 505, 756, 1009, 1264, 1521?\n\"Answer: l**2 + 246*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 b when three letters picked without replacement from {j: 3, b: 2, k: 3, a: 3, q: 3}.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/168 (b) 2 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-22)\/10 - 1\/(-5). Sort -1, x, -5.\nAnswer: -5, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**3\/21 + 35276*w**2\/7 + 466472136*w\/7 - 14004748880\/21 = 0. Calculate w.\nAnswer: -26462, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/40 of a tonne?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 6546192.\nAnswer: 6546192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 82786?\nAnswer: 82786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-2)\/(24\/42)*(-49132)\/2422.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and -0.08.\nAnswer: -0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 34 + 459 = 0. Let a be 51\/(-3 + (-1270)\/q). Let u = -1872 - a. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 602 divided by 2?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (296*o + 187*o - 15*o)*(-2 + 0 + 1) in the form n + s*o and give s.\nAnswer: -468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289 - 700*a**3 - 147 + 1400*a**3 - 701*a**3 - 142.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25.3 + -4.3. Let k = 21.4 - g. Sort k, -3, 0 in descending order.\nAnswer: k, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1962393, -1962390, -1962387?\n\"Answer: 3*y - 1962396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 7 + d**2)*(-5*d**3 + 2*d**3 + 0*d**3 - d**3 + 0 + 0 + (4*d - 1 + 1)*(-2*d**2 - 2*d**2 + 3*d**2) + 2*d**3 - d**3 - 3*d**3).\nAnswer: -10*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2118.397 to the nearest 10.\nAnswer: -2120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23167*j**2 - 23169*j**2 - 23167*j**2 - 23153*j**2 + 92674*j**2.\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4449526 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4738 divided by 415\nAnswer: -4738\/415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -139548.99529 and -8485.\nAnswer: -148033.99529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168, 305, 410, 483, 524, 533, 510?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 6*c**2 + 3*c - 65. Let w be f(7). Suppose 0 = -4*g + 40 - 8. Solve 0 = u - h + 9, w*u + g*h - 3*h + 5 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j - 2 = -d, -4*d - 5*j + 21 = 0. Suppose d*q - 67 + 170 = -5*o, -2*o - 116 = 5*q. Let l be (q\/20 + 1)*6. Is 0 bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 10*h - 8*h. Suppose -4*c + 3*r + 4 = 0, 3 = -2*r + h. Let j be 16\/(-72) + c\/18. Solve -3*a + j - 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/3 - 3)\/1. Let b = u + 10. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 28\/8)*(-1 - -31). Let l = 2655 - 47773\/18. What is the common denominator of l and ((-2)\/y)\/((-60)\/2385)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*h**2 + 3*h*y - 2534*h + 2*y - 5549 wrt h.\nAnswer: -4*h + 3*y - 2534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.29 * -2\nAnswer: -0.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -31?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*p = 81*p - 80 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1055 + -492. What are the prime factors of s?\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o + 387. Determine v(15).\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d**3 - 3*d**2 + 357*d - 22. List the prime factors of z(-18).\nAnswer: 2, 41, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 7:28 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 8 - 4 - 8)*(8*d + 37*d + 0*d).\nAnswer: -270*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15954083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 6226518.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1675 divided by 305\nAnswer: 335\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 6. Let f = -6 - c. Let u(p) = 3*p**3 - 11*p**2 + 9*p - 14. Let q(m) = m**3 + m - 4*m**2 + 3*m - 5 - m. Calculate f*u(i) - 11*q(i).\nAnswer: i**3 + 3*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 10*u + 57. Let s be m(-5). Suppose 5*i - 305 = 2*k - s*k, -16 = -4*k. List the prime factors of i.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 229*c*f*k + 61248*c*f - f + 1044511*k - 82 wrt c?\nAnswer: 229*f*k + 61248*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 658281 and 0.3.\nAnswer: 658281.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2004)\/132 - -15) + (-36)\/(-77)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17338.1 milliseconds to nanoseconds.\nAnswer: 17338100000","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -10, -3, 8, 23, 42, 65, 92?\n\"Answer: 2*b**2 + b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/83 and -23\/1743?\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -31, 1\/6, 11\/2, -3, -66?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1768*u**4 - 7*u - 36 wrt u.\nAnswer: 21216*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 445*v**2 - 2244*v + 512*v**2 - 954*v**2 + 2 as z + r*v + a*v**2 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -197 + 2?\nAnswer: -195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*i - 552*i**2 + 16*i - 29*i)*(11 - 18 - 11).\nAnswer: 9936*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (5 + -6 + 1 - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 12:08 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -4*s**2 + 7*s + 7. Let g be x(6). Let c(f) = -2*f**2 + 15*f - 7. Let z be c(10). Let j = z - g. Does 15 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x - 4*x + x - 6 - 2*x**3 as i + b*x**3 + z*x**2 + d*x and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 11 = -4*n - 4*q, 2*q - 6 = -4*n. Let p be (-6 - n)*(-26)\/10. Solve 0*b - 4*b = 4*a - 20, -b + p = 3*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64223539 is divided by 44?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7717203, -15434371, -23151539, -30868707, -38585875, -46303043?\nAnswer: -54020211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 67.8863 - -0.0137. Let a = -67.79 + m. What is the nearest to 2 in 5, 3, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -140, -138, -136, -134?\n\"Answer: 2*g - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.542 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2*x**2 - 203*x - 3303. Determine g(-20).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/372*((-72)\/135)\/(5\/25)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.3, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0149 + -317.0149. Let r = p - -316. What is the nearest to r in 0.4, -0.1, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 + (-2 + -6 - (2 + -21))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 112\/7 - -18 - -4*1. What is the greatest common factor of d and 9481?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 - 11*t - 11. Let g(h) = -h - 1. Determine -22*g(r) + 2*l(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d - 1. Let m be t(9). Let r(x) = -5*x**2 + 8*x + 2. Let o(q) = 17*q + 14*q**2 - 15*q - 25*q - 2 - 4. Determine m*r(l) + 6*o(l).\nAnswer: -l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 11*m - 6 - 6 - 13*m to r + l*m and give r.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 9*i**2 + 0*i + 0*i**5 + 0*i**6 - 1\/6*i**4 - 29\/168*i**8 + 1\/2*i**3 - 2 + 0*i**7. Find the second derivative of a(k) wrt k.\nAnswer: -1160*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 8*s - 6*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12354*o + 1 = -5*l - 12350*o, 4 = o for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3531*a - 4006*a + 685867 = 0 for a.\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/((-2)\/(-6)*3). Suppose -2*l = t - i, 2*l - 2*t + 2 - 14 = 0. Calculate the greatest common divisor of 24 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.07 - 0.87. Let z = 11150 + -11150. Sort z, -0.3, t, 4 in decreasing order.\nAnswer: 4, z, -0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 11*t**2 - 11*t - 12. Let f be a(12). Suppose f = -5*d - 6 - 4. Let m(z) = z + 5. Let c be m(-12). Put c, d, -1 in descending order.\nAnswer: -1, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 10:18 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z + 2*z**3 - 19*z + z**2 + 254006 - 254043 to the form s + m*z**2 + t*z + u*z**3 and give s.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73520 is divided by 385.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by (-30)\/(-12) + 9\/6 - -23.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + y**2 + 1. Let f(a) = -4*a**3 + 1. Calculate -2*f(m) + 3*v(m).\nAnswer: -m**3 + 3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-136)\/12*(-3)\/2. Let q = x - 14. Suppose 0 = -q*n - n + 60. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 163 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (1*sqrt(272))**2) + 2.\nAnswer: -270 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -53444 + 0?\nAnswer: -53444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6124347976.9926 and -5.\nAnswer: -6124347981.9926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 0, -2\/10367 in increasing order.\nAnswer: -2\/10367, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -2838300 to the nearest ten thousand.\nAnswer: -2840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -2 - 10. Let c(o) = -o - 1. Let h be c(1). Let x be s\/h*10\/(-3). Solve -n = n + x*v - 19, -4*n = -v + 17 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -56\/3*w + 54\/5*w**3 + 32\/15 + 192\/5*w**2 = 0.\nAnswer: -4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 824256\nAnswer: 1648512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(21)\/sqrt(3) + -4 + sqrt(7) + 1 + -5 + (0 + sqrt(7))**2 + (-5*sqrt(14)\/sqrt(2))**2).\nAnswer: 6*sqrt(7) + 522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 818887 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 - -14)*27\/18. Let h be 102\/27 - (-4)\/m. Suppose -17 - 18 = -2*q + 5*l, h*q - 5*l = 55. Calculate the remainder when 19 is divided by q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -528188 or -529585?\nAnswer: -528188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 9. Let t(c) = 5*c + 0*c + 0*c - 6 - 13. Let x(k) = -7*a(k) + 3*t(k). What is the units digit of x(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*c**5 + 305784*c**4 + 5901357*c**3 - 4240044*c**2 - 3323844*c + 1356720 = 0.\nAnswer: -11306, -20, -2\/3, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 96 - 93. Let r(z) = -z**3 + 5*z**2 + z - 1. Let u be r(5). Solve 17 = u*p + d*c, -5*p + c + 4 + 3 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 27, -2, -6, -103, 0 in ascending order.\nAnswer: -103, -10, -6, -3, -2, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 AM and 5:43 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102 and 1164.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1794313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + l + l = -54, 3 = -l. Calculate the lowest common multiple of m and -1 + -5 + 5 + 282*1\/2.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/33 in -0.8, -0.05, 1\/5?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1004, -4346, -9916, -17714?\nAnswer: -27740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 132014*t**2 - 38703*t - 2 wrt t?\nAnswer: 264028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14329421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1137, -6278 in descending order.\nAnswer: -4, -1137, -6278","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 222, 504, 900, 1410, 2034?\nAnswer: 2772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-42) + (1840\/(-168) - 4\/(-6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0811265073140634 and 0.4.\nAnswer: 0.4811265073140634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13)\/8463*-7)\/((-3)\/(-8)*(-178)\/(-2403))?\nAnswer: 12\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/1379 + (-23653)\/(-214730)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10555*m + 5. Let j be h(1). What is j rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -4) + -31 + 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*t**2 + 3 + 159*t**3 + 1 - 3 + 10*t**2.\nAnswer: 159*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3 = x - 2*k, -4*k + 2 = -2*x. Suppose c - 10*c = -810. Suppose 34*o = 16*o - c. Is x at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 5 - -3) + -4. Let k(h) be the second derivative of -y*h - h**2 + 1\/12*h**4 - 2\/3*h**3 + 0. Calculate k(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -197 - -288. Is 7 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 7:25 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.044 - -0.044. Let y = -91 + 159. Let k = y - 71. Which is the second smallest value? (a) i (b) k (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 456 and 12097167.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccccccc. What is prob of picking 3 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 12*v**3 - 2*v**2 + 2*v. Suppose -3*q + 87 = -18. What is the remainder when ((-28)\/q)\/((-2)\/115) is divided by z(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2797 > 132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven quarters of a microgram in nanograms?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**2 + 44 + 41 - 126 + 41.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.69*5284655.\nAnswer: 8931066.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*x + 8*x = -187. Solve -x*o = -o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31390 divided by -6278?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) 1 (c) -5 (d) -0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1696329 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3398 by 1699.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-18)\/4)*(-273)\/(-91). Solve 4*g - 3*g = -a, -2*g - d = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 30*b - 7*b + 19 + 4.\nAnswer: 23*b + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -10, -n - 3 = -3*o - o. Let g = -246 - -246. Suppose -6\/5*u + g + 2\/5*u**3 + 4\/5*u**o = 0. Calculate u.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8632 by 4.\nAnswer: 2158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t**3 - 8*t. Let c(i) = -4*i**3 + 3*i. Calculate 11*c(q) + 4*k(q).\nAnswer: 8*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 112120 (base 3) in base 6?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**5\/7 + 119232*g**4\/7 - 895744376*g**3\/7 + 107484219440*g**2\/7 + 217656148956*g\/7 + 109276065904\/7 = 0. What is g?\nAnswer: -1, 124, 14843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 836 + 463. Is 4\/6 - b\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = u - 5*f, 0 = 2*u + 3*f - 2*f + 4. Let r = 3 + u. Suppose r*j - 3*j = -9, -v + 165 = -5*j. Round v to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63) + sqrt(693)\/(sqrt(11) + sqrt(176)).\nAnswer: 18*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 10663 and 10881 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 4*j**2. Let u(c) be the third derivative of -65*c**4\/8 + 429*c**2. Determine u(d(n)).\nAnswer: -780*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*y - 19*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 1)\/1 + 610. Let u = -301 + r. Is u - (13\/(-26))\/((-2)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, m: 4, l: 6}. What is prob of sequence hlm?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**5*m)**(-3\/34)*(m\/m**(-5\/3))\/(m**(-5)\/m))**18 assuming m is positive.\nAnswer: m**(2733\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) 0.37 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (32\/6)\/(288\/432). Solve 0 = -m*o + 13*o - 30 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 18 = 2*b. Let k = 15 - b. Let o = 57 - k. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357001853 is divided by 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 24\/10*70\/21. Suppose 4*g = -2*m + 34, g + 4*m - 22 = f*m. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 2*g**2 + g + 1. Suppose p - 3*p + 2 = 2*f, -3*p - 3 = 0. Let z(i) = 15*i - 3*i**2 - 4 + 4*i**f - 1 - 8. Let d be z(-16). Calculate c(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.072 - 3.672. Let l = -2.6 + w. What is l rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17637087.\nAnswer: 3, 13, 452233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -59 + 17 + -6\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -1. Let i = -3\/52 + 59\/572. Do i and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1328 and 7524116.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 40*j**2 + 6*j. Let f(n) = n + 1. What is b(z) - 5*f(z)?\nAnswer: 40*z**2 + z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 4*i = 24, -15*i + 12 = -21*i for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -2*n**2 - 1\/105*n**7 + 0 + 0*n**3 + 0*n**4 + 1\/30*n**5 - 1\/336*n**8 + 0*n + 1\/120*n**6. Factor y(u).\nAnswer: -u**2*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -405, -403, -399, -393, -385?\n\"Answer: g**2 - g - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14732, 29229, 43726, 58223, 72720, 87217?\n\"Answer: 14497*c + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2172*n*v**6 + 2*n*v**4 + n*v**2 - n*v - 8*n + 29*v**2 wrt v.\nAnswer: 260640*n*v**3 + 48*n*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -101972158.\nAnswer: -101972156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + (32 - (37 + -19)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(-4)*a*a*a**(3\/10))\/((a\/((a*a*a**(-2\/3)*a)\/a))\/a)**41 assuming a is positive.\nAnswer: a**(1859\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1360, 1362, 1366, 1372?\nAnswer: 1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 42. Calculate the remainder when p(0) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-952)\/408 + (-2)\/(-6)*66946?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zeeezzueez. What is prob of picking 3 z?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 36924594.98162 + -36924941. Let z = -346 - u. Round z to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8910, -17826, -26742?\n\"Answer: -8916*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.554584297 rounded to three decimal places?\nAnswer: 5.555","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4660920, -9321811, -13982704, -18643599, -23304496?\nAnswer: -27965395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2*b + 10*b = -90 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9365.61 decades to centuries.\nAnswer: 936.561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4784 is divided by 1586.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 5*a + 3. Let d(g) = g**3 + 7*g**2 - 8*g + 4. Let n be d(-8). Let r = -1 - n. Let y be s(r). Solve 5 = y*o + 2*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 59*d**5\/2 - 86493*d**4\/2 + 214853*d**3 - 125379*d**2 - 780165*d\/2 - 13149\/2 = 0.\nAnswer: -1, -1\/59, 3, 1461","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3334 or -0.0113?\nAnswer: -0.0113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1156729, -391 in descending order.\nAnswer: 5, -391, -1156729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 19.75. Let t = 0.05 - r. What is the third biggest value in t, -3, 5\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 17\/2 of a century?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9111 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxfx when four letters picked without replacement from bfxbbbfbbbbxbbbbbbbx.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -95 + 5*j - j + 3*j + 0*j + 94. Suppose -4 = -h - 3*h. What is d(h)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z = 26*z - 6*h + 104, 8*z - 35*z - 3*h - 300 = 63*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**3 - 2589*p**2 - 23058*p = 0. What is p?\nAnswer: -854, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + d + 9 = 1, -2*v + 10 = 3*d. Suppose v*y - 640 + 54 = 0. What are the prime factors of y?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.9 in 2, 5, 13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/88*(-748)\/(-918).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2 + 2*j - 1. Let k(v) = 2*v - 9. Let h be k(5). What is c(h)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 391*f - 396*f + 3390. Suppose -f - 482 = -o. Round o to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (84\/24*(-4)\/3)\/((-2)\/1).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -31. Suppose -2*v + 13 = -l. Suppose -g - v = -5*g. Calculate the lowest common multiple of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-8)*3\/9\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -131, 1840 in decreasing order.\nAnswer: 1840, -1, -131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*q + 5465*s - 171 = 5468*s, 69 = -5*q - 2*s for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 516?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (-3 + (1 - -1))) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -2*t**2 + t. Let x(p) = -4*p**2 + 6*p. Let g(o) = x(o) - 3*z(o). Let h(w) = -2*w**2 - 2*w. Calculate -2*g(v) - 3*h(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + -4)*8\/10. Let b(y) = 2*y**2 + 6*y. What is the units digit of b(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) 14.2 (c) 0.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in 2, 120, -0.5, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39141 divided by -47.\nAnswer: -39141\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -409*o**3 - 474*o**2 - 2*o + 2. Let v(y) = -y**3 + 2*y**2 + 2*y - 2. Let g(c) = t(c) + v(c). What is the third derivative of g(n) wrt n?\nAnswer: -2460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwzlwlzwwwd. What is prob of sequence lw?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-18))\/2*-2. Let f = -6 + 7. Suppose -f + 4 = -3*j. What is the nearest to j in 0.2, m, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -0.19 (b) 3 (c) 2\/5 (d) 76513 (e) -3 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7841 and -6908.8.\nAnswer: -14749.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1)\/b)**(-15)*(b**(1\/2))**(-5\/11))**(-14))**(-29) assuming b is positive.\nAnswer: b**(132965\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z**3 - 23*z**2 - 5*z + 22. Let j be u(-14). Find the second derivative of k**4 + k + j*k**5 - k**4 - 9285*k**5 + k**2 wrt k.\nAnswer: 380*k**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/4 and 97\/125508886.\nAnswer: 251017772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.38 + -10.38. Is -1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 325534b + 24?\nAnswer: 3255372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -1271?\nAnswer: -381.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of q**4\/12 + 3*q**3\/2 + 3*q**2\/2 - 2*q. Let y be j(-10). Let f = y + -4. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 10 = -5*y + 45, 0 = 2*y - 4*l. Calculate the lowest common multiple of (-1 + -1)\/(1\/(-9)) and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2\/3*h**2 - 4\/3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(180)*-1*-4 + -4 + (sqrt(180) - (sqrt(180) + sqrt(180) + 0)))**2 + ((-4 + -3*sqrt(180) - sqrt(180))*-3)**2 + 1.\nAnswer: 1584*sqrt(5) + 27699","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -2 + -3 - -8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 + 4*v - 40. Let s(w) = -w + 13. Calculate 2*o(y) + 7*s(y).\nAnswer: 2*y**2 + y + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (110 + m - 243 + 29)*(m**3 + 8*m**3 - 3*m**3) as j*m**4 + l*m + h*m**3 + v*m**2 + c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*z + 2*z + 7 + 15)*(-4 + 2 + 1) to the form d + r*z and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -132*k**3 + 63*k**3 + 58*k**3 + 3.\nAnswer: -11*k**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/9 or -38\/7?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 5*f, 28*f = 4*o + 31*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.480111 + 2.48. What is d rounded to five decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1320 (base 6) to base 7.\nAnswer: -660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Suppose -p*r - 37 = 15. Let q = 21 + r. Solve w = 5*w - q for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -5 (c) -0.4 (d) -4 (e) -2\/27 (f) 7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 174027, 174038, 174053, 174072?\n\"Answer: 2*a**2 + 5*a + 174020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/23, -1\/4, 6\/7, -0.2, 4.\nAnswer: -1\/4, -0.2, -2\/23, 6\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 307161.8 millilitres?\nAnswer: 307.1618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 11:16 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 256 + -256.2. Let s = -43 - -26. What is the second biggest value in 5, s, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 944795221?\nAnswer: 5417, 174413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (-1 + 1)\/1. Let d = b - -4. Solve m = -3, -d*v + 6 = v - 2*m for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 208189677 to the power of 1\/2, to the nearest integer?\nAnswer: 14429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 189035 is divided by 647.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 5\/4, -72?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.056 and -2.\nAnswer: 0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 9:47 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*p**3 - p*z**2 + 3*z**2 - 9*z wrt p.\nAnswer: -45*p**2 - z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -100 - -221?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 438*q**3 - 229*q**3 + 798*q**3.\nAnswer: 1007*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*t + 1448 = 2748 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-146)\/4)\/(-1) - 3\/2.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 5*c**2 + 6*c - 6. Let q be a(6). Let z be (3\/6)\/(1\/66). Let w be (-9)\/2*(-22)\/z. Sort q, -1, w in decreasing order.\nAnswer: w, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188600 and 450.\nAnswer: 1697400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-13)\/(-2) + -3)\/(((-40)\/10)\/(-12976))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000006814 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 1. Let j(q) = -27*q**3 + 5*q - 1. Calculate j(y) + 5*w(y).\nAnswer: -27*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2812\nAnswer: 1\/703","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -86*v + 83*v - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5512581?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 4573 (base 9) to base 4\nAnswer: 310323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*s + 1089 = 885 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 398169 - 1169445 = 11*c. Let s = 10116 + c. What is s rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = s - 0*s. Suppose 0 - 1 = -n - g, -s = -2*n + 5*g. What is the remainder when (-4)\/(9\/n + -2) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**9\/75600 - n**8\/8400 + n**7\/2520 - n**6\/1800 + 5*n**4\/24 - 3*n**2. Let v(z) be the second derivative of t(z). Factor v(d).\nAnswer: d*(d - 2)*(d - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 2*o + 22 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 276489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 - -5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 h when four letters picked without replacement from htuxujtrhjhj?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -1153*s**4\/12 - 464*s**2 - 1549*s. What is the derivative of y(q) wrt q?\nAnswer: -2306*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19914843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 greater than or equal to 88?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -722327.5 times -0.02\nAnswer: 14446.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2646 = -8*i. Let s = 842 - i. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1, -0.2, 4, -267, -4, 2\/5, -294?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of 3557*r**8\/56 + r**4\/12 + 58*r**3 + r**2\/2 + 16*r - 66. Find the third derivative of d(o) wrt o.\nAnswer: 426840*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (750\/225)\/(12\/3).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - -4aa?\nAnswer: 4a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2436 = -394447*m + 394534*m for m.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13138?\nAnswer: 2, 6569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4888 is divided by 1784.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -164.778 rounded to the nearest ten?\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2592 - 2589. Let m = 0.8 + -0.3. Put h, -4, 0.1, m in descending order.\nAnswer: h, m, 0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1937886930 rounded to the nearest one million?\nAnswer: -1938000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6309.\nAnswer: 3, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1766 - -19.\nAnswer: 18.8234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -17651 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2442*b + 2405*b + 905945. Is b a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 3*c - 4*c)*(-7826*c**2 + 73*c**3 + 7826*c**2)*(1 - 7 + 2)*(1 - 1 + 2).\nAnswer: 1168*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 7*s - 54. Calculate the remainder when s is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - -2) + 11 + (-32 - -15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -403416 + -0.3?\nAnswer: -403416.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 99*q + 1. What is the tens digit of g(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109.33 - -110. Let f = z - 0.07. Let t = f - 0.57. Which is the nearest to 0? (a) -4\/3 (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8560.8ml in litres?\nAnswer: 8.5608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15892?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**2 - 7 + 3 + 3*p**2 - 4*p**2. Let m(x) be the first derivative of -x**2\/2 - x - 6. Let g(i) = 1. Let j(a) = 2*g(a) + 2*m(a). Calculate j(w(k)).\nAnswer: -2*k**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -166 - -174. Solve -4*m - 3*h = 15, 0 = -m - 4*h - h - x for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*b - 192 = -48*b for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61 and 7.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 804 - 6423\/8. Let g be (-12)\/(-3) - (1 + -214). Let c = 4801\/22 - g. Calculate the common denominator of c and f.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 852587, 1705962, 2559337, 3412712, 4266087?\n\"Answer: 853375*a - 788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 + 4 - 5 - -6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = z - 132, z - 200 = -6*w - z. What is the remainder when 252 is divided by w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 157*l**3 - l**2 - 12*l + 4. Let v(h) = 314*h**3 - 2*h**2 - 20*h + 7. Give -5*t(y) + 3*v(y).\nAnswer: 157*y**3 - y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -u**2 - 2*u**3 + 2*u**2 + 0*u**2 - 3 + 0 as n*u**2 + i + h*u**3 + q*u and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2269.52 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16926370?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*2*0. Let s = m + 12. Let d(l) = l**3 + 10*l**2 + 16*l + 6. Let o be d(-8). Calculate the highest common factor of s and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -14.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2310*i**2 - 1156*i**2 - 1152*i**2. Let r(n) = -n**2 - n + 1. Let o(a) = -30*a**2 - 6*a + 6. Let y(x) = o(x) - 6*r(x). Give y(b(f)).\nAnswer: -96*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 11*g + 3. Let m be d(-12). Let o = m + -9. Find the common denominator of -39\/46 and 310\/o*(-4)\/(-60).\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11334735 and 245?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 15 (b) -1\/3 (c) 1 (d) 0 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1965 - 2432257\nAnswer: -2430292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1255, 2532, 3813, 5098?\nAnswer: 6387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3055, -6119, -9185, -12253, -15323, -18395?\nAnswer: -21469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r**5 + 1554*r**4 + 298467*r**3 + 25080204*r**2 + 767306940*r - 792687168 = 0 for r.\nAnswer: -144, -142, -91, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 203\/63 - (-28)\/(-63).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 1. Let v(s) = 24*s + 20. Let h(o) = 2*v(o) + 44*z(o). Let m be (12\/(-9))\/((-24)\/(-54)). Give h(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 23*u**3 + 8. Let c be i(-2). Let n = c + 176. Let z(o) be the third derivative of -o**6\/120 - o**3 - o**2. Determine z(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 10111100000101110011?\nAnswer: 10111100000101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbx when three letters picked without replacement from {l: 2, x: 3, b: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -78 * -5989\nAnswer: 467142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 0 + 0*g**3 - 1\/20*g**5 + 1\/36*g**4 - 1\/126*g**7 - 10*g + 1\/30*g**6 + 0*g**2. Factor x(j).\nAnswer: -j**2*(j - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 11300763.\nAnswer: -4\/11300763","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 107 - 101. Let h(d) = d**3 - 8*d**2 + 12*d + 2. Let v be h(b). Solve -4 + v = y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 103.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3*z + 3*z + z - 4*z - 50.\nAnswer: 3*z - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 1)*(-897 + 350 - 295) - 2 - 2 + 1)*(m - 4*m + 1 + 0).\nAnswer: -2517*m + 839","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*j - 12 = 0, -9 = -4*v + 2*j + 5. Solve 2*p + 5 - v = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1306795 divided by 1.\nAnswer: -1306795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-598)\/(-2) - (2 - -3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -71*c**4 + 176*c**4 + 13*c**4 + 0*c**4 + c**4 - 4*c**4 + (-c + c - 2*c**3)*(-c - 2*c + 2*c) + 2*c**4 + 4 - 4.\nAnswer: 119*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 9672?\nAnswer: 9672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 90 + -51. Let d = l - 35. Suppose 0 = -3*m - 0 + 6. Solve 3*t - 2*x = 8, -m*x - 18 = -d*t - 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != -13\/9344?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -20943*a + 62621. Determine i(3).\nAnswer: -208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011010111011 + 10111100?\nAnswer: 11011101110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6eda1b (base 15) in base 3?\nAnswer: -100222211112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145079*i**3 + 170*i**2 - 510 wrt i.\nAnswer: -870474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (105\/(-28))\/((-9)\/(-3))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1310*f**5 - 5242*f**4 - 5248*f**3 - 8*f**2.\nAnswer: -2*f**2*(f + 2)**2*(655*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**3\/6 - 4*n**2 + 30*n - 200\/3.\nAnswer: (n - 10)**2*(n - 4)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18 + -16. Suppose h*l = 7*l. Solve -2*s - 2*q + 12 = l, 5*s - s + 2*q - 16 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 PM and 11:20 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 212113 - 242?\nAnswer: 211321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 7*b = -426351 - 18601. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 176\/7693 - 10\/157. Are m and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.01*81\nAnswer: 0.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*l + 13462, 2*d - 3*l = -l + 8972. Let k = d - 44897\/10. Find the common denominator of -56\/5 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1 (b) -2\/15 (c) 0.84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b**5\/3 - 44205*b**4\/2 - 1950985*b**3\/6 + 4862255*b**2\/6 - 1113665*b\/2 + 281180\/3 = 0. Calculate b.\nAnswer: -6616, -17, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2235.10905 + 2235. Let o = 426.89 + -427. Let m = o - i. What is m rounded to 4 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4732, -18989, -42748, -76009, -118772, -171037?\n\"Answer: -4751*n**2 - 4*n + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, -2, 3, 29, 3\/176, -0.5 in descending order.\nAnswer: 29, 3, 3\/176, -0.5, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 + g**2 - g**2 + (-g**2 + 2*g**2 + g**2)*(5 + 10 - 14) - 588*g**2 - 2*g + 11*g - 7*g to the form l*g**2 + c + p*g and give l.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -130e8?\nAnswer: 130e4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 8*p**2 + p + 3. Let f(h) = 6*h**3 - 48*h**2 + 5*h + 15. Let u(i) = -2*f(i) + 13*m(i). Determine u(7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*j = 30, 3*d + 3*j + 11 = -j. Let x be (-4 + 4 - 2)\/(2\/(-18)). Suppose 0 = 3*w + v + 11, -2*v - 2*v = -w + x. Put d, w, 11 in increasing order.\nAnswer: d, w, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 37 = z, 150 + 8 = 5*q + 4*z. Let j = q - 36. Let t(a) = 28*a**2 - 5*a - 7. Is t(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -140, 6.75, 0.0564.\nAnswer: -140, 0.0564, 6.75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -20548*g - 10479476. What is i(-510)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532 = -24*n + 620. Let h be ((-16)\/n)\/(1\/(-9)). Let j(u) = -u**2 - 6*u - 6. Let w be j(-5). Sort h, 0, w.\nAnswer: w, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 308 - 270. Solve 7*n = 66 - f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q. Let b = -1051 - -6311\/6. Let m(v) be the second derivative of b*v**3 + 4*v + 0*v**2 + 0. Give m(f(a)).\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 128, 737, 1756, 3185?\n\"Answer: 205*s**2 - 6*s - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-12) + 19\/6. Suppose -4*x + 22 = x - w*u, -4*x = -u - 12. Factor -2 - a + 0 - 3*a + 2*a**3 + x*a**2 + 2*a**3.\nAnswer: 2*(a - 1)*(a + 1)*(2*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2892.676602 to the nearest 100.\nAnswer: 2900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**5\/60 - 191*c**4\/6 + 72962*c**3\/3 - 1782*c**2. Factor s(g).\nAnswer: (g - 382)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3)\/(2\/(-30)). Let t = r + 13. Suppose 2*s - 105 = -t*s - 5*y, 5*y = -s + 29. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 772398 = -2867*k - 5350*k for k.\nAnswer: -94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0336661 - 32.\nAnswer: -32.0336661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5100 and 209900.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 1. Suppose -96 = -15*j + 324. Suppose k*v = v + j. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/6)\/((-19)\/(-57))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of a**6\/195 - a**5\/65 - 3*a**4\/26 + 2*a**3\/39 + 8*a**2\/13 + 258*a. Let h(s) = 0. What is s?\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140.5 + -12.2?\nAnswer: 128.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 2*y**2 + 5*y**4 + (0*y + y**3 + 0*y)*(0*y - 4*y + y) - 64*y**4 - 78*y**4 - 81*y**4 in the form a*y**3 + d*y**2 + s + p*y + o*y**4 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 427563\/4846 smaller than 87?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (4\/9)\/((-39)\/(-351))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 63 - 12)*(22*r + 83*r + 26*r).\nAnswer: 7598*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-15)*2*-45. Suppose -3*z - 2*k + 9 = k, -4*k + 6 = z. Let g be (-1)\/(z\/36*-3). Calculate the greatest common divisor of o and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7572992 divided by -4226?\nAnswer: -1792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 51.9 - 45.76. Let q = f + -0.14. Let i = 0.2 - 0.2. Sort -3, i, q.\nAnswer: -3, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 10*o**2 - 116*o - 40. What is y(8)?\nAnswer: 184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 862 * 130\nAnswer: 112060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8765 + 11286. Is -2 >= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45552 and 936.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 7 = 5*f - 32, 0 = -3*g + 4*f - 20. Let w(b) = b**2 + b + 6. Calculate the smallest common multiple of 3 and w(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 66.1 - 66. Let s = 0.6 + -5.6. Let y = 9 + s. Which is the second biggest value? (a) y (b) m (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 8, n: 2, v: 1, l: 2}. What is prob of picking 1 l and 1 n?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -74 + 445\/6. Let m be (-3)\/(-5) - (-2 - 33\/(-5)). Let i be m - (250\/15)\/(-5). What is the fourth smallest value in 4\/5, w, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 AM and 5:46 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 33. Calculate the remainder when 28 is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*f**2 + 4*f**2 + 3*f**2 - 4*f**2 - 2*f**2 + 5*f**2 + (0*f + 2*f - 4*f)*(3*f + f - 2*f) + 9*f**2 - 2*f**2 + 0*f**2 as a*f**2 + y + g*f and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/40 and (-358)\/2700*1465\/(-1172)?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -15*r**3 + 4*r**2 + 24*r + 73. Let b be z(-12). Suppose -5*x = 2*s - b, -x + 3*s + 21034 = 3*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -11*j. Let c = 51 + -45. Let w(b) = -7*b**2 + 6. Let a(x) = -15*x**2 + 13. Let u(z) = c*a(z) - 13*w(z). What is u(t(r))?\nAnswer: 121*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*l - 4808 - 1040 = 0 for l.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a**3*c**2 + 4255926*a**3*k**2 + 2*a**3*k - 37349*a**2*c*k + a*c*k**2 - 2*c**2*k**2 + 21*c wrt k?\nAnswer: 8511852*a**3 + 2*a*c - 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of 124*w**2 + 0 - 61\/12*w**4 + 20\/3*w**3 + 0*w + 1\/60*w**5. What is the first derivative of q(h) wrt h?\nAnswer: 2*h - 122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*g - 169 - 407. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47*p + 221*p + 6*p)*(1 - p**2 - 1) + (-p + 2*p + p)*(3*p**2 + 3*p**2 - 7*p**2) to the form t + r*p**2 + a*p**3 + v*p and give a.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/126)\/(43\/774).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmvmmmpmmmmvmmmp. What is prob of picking 2 m?\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*(sqrt(108) + sqrt(108)*-3)*3 + -5 + -3)**2*-3.\nAnswer: -105003 - 1944*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 30 = -2*h, -2*c = h - 3*c + 15. Let n = 16 + h. Let y be (4\/(-28))\/(n\/2). Does y = 0.24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 379 (b) -4 (c) -2\/33 (d) 0.4 (e) -63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 1\/3 (c) -1\/9 (d) -0.8 (e) 3 (f) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -8, 17*b - 57213 = 12*b + 3*k. Does 109 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 487 - 5351\/11. Which is smaller: b or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 + 0)*1 - -27333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 288 divided by -72\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60*v + 5*v = -495 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/387 + 4\/(-86). Solve 154*z - 149*z - 5 = o for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -108 + 108. Let z = 0.4 + -0.3. What is the nearest to z in -0.5, y, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -1, 2\/193, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 217850573, 217850573, 217850571, 217850567?\nAnswer: 217850561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 10:48 AM?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 10*h**2 + 26*h + 12. Determine r(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1452*d + 11603. What is w(-8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -21.22 (b) -2 (c) -2\/9 (d) -2\/7 (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1 (b) 355.7 (c) -1\/3 (d) 2\/11 (e) -0.3 (f) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 1, m: 1, t: 4, j: 1}. What is prob of picking 1 g, 1 j, and 1 n?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -336082 + 1232?\nAnswer: -334750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -15 + -9 + 6297 - 3.\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 1395*s + 11082. Give b(-8).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1619221809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 92. Is -21 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -2*b**5\/17 - 36*b**4\/17 - 214*b**3\/17 - 396*b**2\/17 + 216*b\/17 + 432\/17 = 0.\nAnswer: -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16826? (a) 1 (b) 2 (c) 0.61 (d) 3\/5 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -54 + 7. Let c = u - -49. Let i(x) = 2*x**2 - x**c - 11*x + 2*x - 4. Give i(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -4, 6 in increasing order.\nAnswer: -4, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 127043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r = 7*r - 4*y - 9, 5*r - 3 = -y for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/9)\/((-27)\/(2916\/48))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s**5 - 32*s**4 + 156*s**3 - 296*s**2 + 242*s - 72 = 0. What is s?\nAnswer: 1, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ozoo when four letters picked without replacement from {z: 3, f: 2, o: 4, q: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s = 137 - 185. Sort -52, 3, s.\nAnswer: -52, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - n - 19992 = a, -4*n = -4*a - 80016. Let w be (15 + 5)*(a + 0). Round w to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1044\/(-406))\/(198\/(-84)).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6224 divided by -5\nAnswer: -6224\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of -1\/120*p**5 - 5\/24*p**4 + 0 + 7*p**2 - 25\/12*p**3 + 0*p. Factor x(l).\nAnswer: -(l + 5)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -11*d - 73. Let r(i) = -i - 1. Calculate r(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1.7, 23, -2, -144.9 in increasing order.\nAnswer: -144.9, -7, -2, 1.7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21373*q - 5 - 60*q**2 + 21373*q.\nAnswer: -60*q**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 9:10 AM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332 and 13634576?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**2\/5 - 132696024*i + 11005146740880360 = 0. What is i?\nAnswer: 165870030","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*d**2 - 38*d**2 - 46*d - 51*d**2.\nAnswer: d**2 - 46*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -112010 divided by 4.\nAnswer: -56005\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2*y - 5)*(-4 - 43 - 9) + 8*y + 10*y - 7*y - 1.\nAnswer: 123*y - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8174.63 decades?\nAnswer: 980955.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -27\/2 in -0.01, 0.1, -46\/5, -754?\nAnswer: -46\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 20 + 865*n - 50 - 895*n as f + v*n and give f.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 80 - 29. Let v = p + -33. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-14)\/1 + -4 + 3. Let r be 3\/p + 6\/5. What is r rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of ((-4)\/3)\/((-4)\/(-6)) - -9 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 3:50 PM?\nAnswer: 4:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vuy when three letters picked without replacement from vvuuy.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 378 = -4*z. Calculate the remainder when 75 is divided by z\/81 + 1\/3*41.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -m - 16, -4*w + 5*m + 25 = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kfzvfwo. Give prob of picking 1 w, 1 o, and 1 z.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 6*r**2 + r + 5. Let u(q) = q - 7. Let b be u(1). Let c be p(b). Is 1\/9 bigger than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2926 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270333363?\nAnswer: 3, 193, 466897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 7:53 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -292.3 - -292. Put -4\/3, -0.12, z in ascending order.\nAnswer: -4\/3, z, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/6 - 1539*v**2 - 64595*v\/6 - 9227 = 0. What is v?\nAnswer: -9227, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 31615204*c**3 + 35165463*c**2 - 4 wrt c.\nAnswer: 189691224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4956*w - 4877*w - 109315381 = 0. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 79*f**2 + 15*f + 3.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 11\/5 (b) -0.052 (c) 0.4 (d) 4\/9 (e) 3\/5 (f) -4\/9 (g) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2102 + 41989\/20. Let p be (-10334068)\/2008128 + 2\/(-3). Let d = -3\/10459 - p. What is the common denominator of d and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - b = -9, -4*r + 0*r + 2*b = -6. Let z be (-18)\/(-8) - r\/8. Let q be z\/5 + 36\/10. Calculate the greatest common divisor of 10 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -4*p - 1, -30*p = i - 25*p + 15. Suppose -3*j - 3 + 14 = -2*r, -30 = -4*j - i*r. Which is the second biggest value? (a) 1\/6 (b) 3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64866715129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 39523 to the power of 1\/2, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6286075128 to the nearest integer?\nAnswer: 79285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) + sqrt(288)*-2 + sqrt(288))\/(sqrt(28)\/(sqrt(14)\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*x**5\/7 - 441220*x**4\/7 + 495002476*x**3\/7 - 2608195044*x**2 - 2120515200*x - 2984572656\/7 = 0. What is x?\nAnswer: -2\/5, 39, 2187","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*g = g - 3676, -731 = -l + 4*g. What is the greatest common divisor of 70 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -96*l + 6819. Give n(71).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4657 bigger than 4635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 19*x**2 + 32*x + 39. Let l be q(17). Suppose -c = -d + 9, l + 10 = -c - 5*d. Let s(p) = 3*p - 5. Calculate s(c).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 46034410?\nAnswer: 46034404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 6*x**2 + 3*x + 5. Let s be p(5). Let j be ((-8)\/s)\/(8\/(-20)). Let y be j\/(-8 + 0)*4. Solve 0 = w + y + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u + 12. Let a be r(-4). Suppose a*x = -4*k - 23 + 171, 2*k - 3*x = 69. What is the least common multiple of k and 22?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/9)\/(1\/3). Let u = 4.083 - 0.083. What is the second smallest value in u, j, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*k + k. Suppose -5 = -5*z, -k*y + z + 1 = 2*z. Let p be (y\/6)\/(-3 - -2). Solve -l + 0 - 1 = p for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.7 - -56.5. Let o = 77 - l. Let p = o + -12. Put p, -6, 2\/3 in ascending order.\nAnswer: -6, p, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 50, 36, -2, -76, -198, -380?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (6 - (-1 + 2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 345059149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -8) + -4 + 0. Suppose -4*f + 6*f - 6 = 0, 2*v - u*f = 606. Is 11 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 2 - 1 - 2 - 21*x.\nAnswer: -21*x + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**4 + 484*v**3 - 29250*v**2 - 7744*v + 468512 = 0. Calculate v.\nAnswer: -4, 4, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*j + 1792 = -1976 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 10401138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*w - 18*w = 55*w + 198. Let g be (2\/6)\/((-26)\/6). Are g and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15*(-2)\/6*(4 + 0). What are the prime factors of ((a\/(-6))\/(-5))\/(22\/(-27489))?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9358*g**3 + 10208*g**3 - 2*g**2 + 0*g**2 to m*g**2 + p*g**3 + w + h*g and give p.\nAnswer: 850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.2309 - 2.1209. Which is the smallest value? (a) 1 (b) 2 (c) g (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 22 = -2*i, 0*r + 40 = -5*i - 5*r for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6480, -5, 118 in descending order.\nAnswer: 118, -5, -6480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/4*(-12)\/36. Factor -1\/4 + 1\/4*c**2 - 1\/4*c**3 + b*c.\nAnswer: -(c - 1)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17553*l - 9168*l**3 + 17553*l - 6210 - 4370 wrt l.\nAnswer: -27504*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 16*w**5 + 25586*w**4 + 308670*w**3 + 1258024*w**2 + 1777568*w + 203136 = 0.\nAnswer: -1587, -4, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14923 - 7465 - 127*g - 7457.\nAnswer: -127*g + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxddxdxxxx. Give prob of sequence xxxd.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2228 is divided by 548?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.53 - 0.03. Which is the nearest to -2\/7? (a) -2 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15 - 18 - (-2 - (4 + -2)). Let i be 3\/u + 4*(-5)\/(-20). Which is the closest to 0.8? (a) i (b) -1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -100*l**2. Let s(y) = -27*y + 23*y - 1 + 19*y - 2*y + 37*y. Calculate x(s(p)).\nAnswer: -250000*p**2 + 10000*p - 100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 a, and 1 r when four letters picked without replacement from zrqnrrqnzqqa.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(2*w - 2*w + w**2)*(1 - 9 + 0).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*v - 371920 = 410728. Suppose -v = -5*h - 2*b - 13143, 3*h + 4*b = 16835. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/3))**(13\/3)\/(a\/(a**(-11)\/a)*a**9\/a) assuming a is positive.\nAnswer: a**(-176\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -166*i**4*x + 3*i**3*x**3 + 2*i**2*x**3 + 2*i*x**3 + 38 wrt i.\nAnswer: -3984*i*x + 18*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 70 = -5*j, -7*u + 2*u = -j - 64. Calculate the remainder when 102 is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-322)\/(-300) + 14\/(-21). Let p = t + -1\/150. Factor -2\/5*v + p*v**3 + 0 + 0*v**2.\nAnswer: 2*v*(v - 1)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62333 = -242*i - 426*i + 1419*i for i.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**2 + 341*j + 1925. Determine h(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 451345 - 165546 = 0. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 - (-100 - (-1 + -80))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 m when two letters picked without replacement from dzddzeqmd?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(-7*h + 11*h - 2*h + 90) to u + r*h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of ((-352)\/12)\/((20\/(-15))\/2) and 2 + (1 - 9)*-2?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -46. Put 0.1, -0.5, -4, n in increasing order.\nAnswer: -4, -0.5, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4284 less than -2356407\/550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 7*z**2 - 5*z - 6. Let w be n(6). Suppose w = 7*i - 150 + 52. Calculate the greatest common factor of i and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 282\/1222 + 552\/(-195) and 43\/12882.\nAnswer: 64410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 699833720 divided by 13042\nAnswer: 53660","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + b**2 + 13*b**2 + (7 - 7 + b)*(-2*b - 3 + 3)*(0 + 4 + 1).\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 76*p - 167*p - 1 + 73*p. Let q(s) = -2*s. What is n(q(c))?\nAnswer: 36*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 4 - (-3 + 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -31?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*b - 8648 = -5*v - 27*b, 5*v = -b + 8649. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58 = 5*m - 3*m. Let y = -16 + m. Suppose 3*q - y - 3 = -x, -4*x = 2*q - 24. Solve q*z - 5*n = 17, 0 = -4*z + 4*n - 0*n + 16 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19752 - -60035\/3. Let y = o - 259. Is y != -49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 9*m - 1. Let j(i) = 8*i - 1. Let t(b) = -6*j(b) + 5*n(b). Let g be t(-1). Suppose g*x - 72 - 52 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -0.1, -7.736, 2.1?\nAnswer: -7.736","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 4*u**3\/9 - 48844*u**2\/9 + 390560*u\/9 - 780992\/9 = 0?\nAnswer: 4, 12203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, a: 2, v: 4, i: 1, c: 1}. Give prob of picking 1 c, 1 z, and 2 v.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u = -b - 6, -245 + 257 = -3*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 85 and 745805.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 146*b - 20. Let a(y) = -1605*y + 220. Let p(t) = -4*a(t) - 45*u(t). Let x be p(23). Round x to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 1. Suppose 4*c = 2*q + 6, q - 4*q + 1 = -c. Suppose 4*w = 4*u + 6 + c, -u = w - 2. What is the units digit of m(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 512 and 2176.\nAnswer: 8704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.6 - -4. Let q(k) = -k. Let i be q(-1). Let d be i\/1 + (-49)\/63. What is the closest to d in j, -4, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6*1)\/(-2) + -1 + 3. Let m(r) = r**2 - 5*r + 4. Let w be m(n). Solve 20 = -5*b - p, 0*b - 5*p = -b - w for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6, -1406, -1?\nAnswer: -1406","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 0 = 15. Suppose -3*z = -2*c - d*z + 738, 0 = -c + 4*z + 359. Let y = c - 198. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*o - 6, -154*o - 7 = -5*a - 166*o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (40 + -69 + (-364)\/(-13))\/((-2601)\/(-9)).\nAnswer: -1\/289","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 111 = 421*w + 315 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/4 and 21\/1411511?\nAnswer: 5646044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v + 9. Let r be q(-9). Solve -3*t - 2*u = 5, -3*u + r*u + 3 = t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**1)**(-12\/17)\/(c**(3\/8)\/(c\/(c\/(c\/(c*c**6*c*c*c)))))*((c\/((c\/(c**(-5\/6)\/c*c)*c*c*c)\/c))\/c)\/(c**7\/c)*(c**(1\/3))**(4\/9) assuming c is positive.\nAnswer: c**(-75173\/3672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/6010 - -13703\/1202. Suppose -5*h = -2*h - 201. Let r = -519\/7 + h. What is the common denominator of d and r?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 248 and 8060?\nAnswer: 16120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(-30 + 30 - 279*x).\nAnswer: 837*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is bd77 (base 16) in base 13?\nAnswer: 19100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**2 - 24*l - 3*l**2 + 9*l + 15*l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36295577545987\/16367 - 2217607232. Let r = -6\/2887 + 10441\/3634733. Let b = r + w. What is the common denominator of 81\/4 and b?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189549784 greater than or equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 z when three letters picked without replacement from zzffzzhfzzzzzzzz.\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/1131 and 61\/27150.\nAnswer: 10235550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 93765410 to the power of 1\/3, to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a tonne in kilograms?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(45\/1575*35)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -59 divided by 1\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.634 + 1.05. Let x = -0.114 - s. Let z = 0.988 + x. Round z to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**5\/5 - 2*o**4 - 142*o**3\/5 + 906*o**2\/5 - 756*o\/5 = 0. What is o?\nAnswer: -9, 0, 1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3705.\nAnswer: 3, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37378 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 125 - 71. Does 10 divide 157\/6 - 9\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3590513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b = 4*b - 3, -3*i - 4*b + 75 + 125 = 0. Let j = 5 + -7. What is the third smallest value in j, -0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**3 + 4*z + 3. Let f(c) be the second derivative of -c**4\/4 - 32*c. What is f(s(y))?\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 2*j**2 + 62*j - 6. Let t be o(-9). Find the third derivative of 190*k**2 - 201*k**2 + 57*k**4 - 216*k**4 + 3 - t wrt k.\nAnswer: -3816*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -6*b**3 - 5*b**2 + b + 5. Suppose 9*r + 44 = -1. Let j(x) = x**3 + x**2 - 1. Calculate r*j(l) - g(l).\nAnswer: l**3 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 555110 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 5. Suppose -4*q + q - 8 = b, 3*q + 4*b = -5. Let o be p(q). Suppose 5*v + 24 = o*f, 0 = 3*f + 3*v + v - 36. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 7:10 AM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 + 0 + -3*(-40)\/24 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:42 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1216 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379666 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000100101000 (base 2) in base 8?\nAnswer: -30450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p + 3*i = 32*p + 12, 5*p + 5*i = -15. Let d be (1 - -1)*(-1)\/7. Sort p, -5, d, -1 in descending order.\nAnswer: d, -1, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 7. Let a be r\/3 + 2\/6. Let q(n) = 5*n**2 + 56*n + 88. Let g be q(-10). What is the greatest common factor of g and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.00150343 - -0.10136143. Let h = 9.9 + p. Round h to five decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (0 - -4)) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 13017\/2*(-208)\/(-39). Let m = c + -13212. Round m to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*h - 56*h - 6. Suppose -3*n = j - 1151, -5*n - 2*j = h*j - 1923. List the prime factors of n.\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - h**2 - h - 1. Let r(f) = -2*f + 8. Let p be r(4). Calculate n(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751453 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + t - 1. Let z be y(1). Let h be 1*(-2 + z + 6). Suppose 0 = -h*m + r + 32 + 39, 0 = m - r - 25. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 257 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**4 + 2418*x**3 + 2420*x**2 - 2418*x - 2419 = 0 for x.\nAnswer: -1, 1, 2419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2690141167 rounded to 5 dps?\nAnswer: 0.26901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -47, 1\/4, 1996, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1245933 - 34379029263\/27593. Let f = h - 155376267\/386302. Let q = -402 - f. Which is smaller: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/7 + 4)\/(3 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 4:31 AM?\nAnswer: 8:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a - 24. Let f be x(26). Let p(g) = -4*g + 12. Calculate p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 3 - 231. Let o(m) = m**3 - m. Let t be o(-2). What is the common denominator of 49\/16 and f\/56*20\/t?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 9:04 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, j: 6, z: 1}. Give prob of picking 1 z and 2 j.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 524*i**2*n**2 - 121*i**2*n - i**2 - 22*i*n**2 + i*n + 125*n**2 + 3*n wrt i?\nAnswer: 1048*n**2 - 242*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, t: 5, c: 1, k: 2, g: 5, e: 4}. Give prob of sequence tcke.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - s = 21, -7*s = 3*h - 13*s + 39 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.042 and -285650?\nAnswer: -11997.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*(i**(-23)\/i)\/i*i)**(-8) assuming i is positive.\nAnswer: i**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 0. Let o be (2\/3)\/(7\/(-7)). Which is the second smallest value? (a) 0.2 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-4\/3)\/(d**(2\/31)*d)*(d*d*d*d**(-3)*d)\/(d*d*d**11*d) assuming d is positive.\nAnswer: d**(-1432\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.477 - 3.5. What is z rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/(-20)*(-6)\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 7*q = 0. Let w be (-2)\/(4*(-2)\/12). Let m be (-8)\/4 - w\/3. Sort -2, m, q in decreasing order.\nAnswer: q, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -14. Let h = 20 - 20. Suppose 3*z - r = 0, h = -3*n - 3*z + 4 + 20. Solve 2*y + 12 = n*u, -y - 5*u = -16 + 1 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(2736)*1 + -4*sqrt(2736)*3)*-2)**2.\nAnswer: 4224*sqrt(19) + 1324288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 - 21*b + 259. Calculate the remainder when g(8) is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 13*u - 12. Let i(f) = -f**3 - 9*f**2 - 12*f + 1. Let g = -160 + 153. Let n be i(g). Determine h(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.82 - -0.08. Let h = t + 0.1. What is the closest to -2 in h, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 787 + -382. Suppose -404*a + g*a - 24 = 0. Suppose 2*w - 6 = 4. Solve 1 + a = w*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-390)\/(-4) - ((-408)\/16)\/17. Calculate the greatest common factor of m and 561.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/7*(150\/5*-7)\/(200\/50).\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2558628.\nAnswer: 2, 3, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -93*s - 503 + 317 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -417000 to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + 24. Suppose -3*o - o + 22 = -2*u, 0 = 2*o - 2*u - 16. Solve -o*t + 14 = x, 3*x - g = -0*t - 5*t for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 26*h - 40. Let w be y(24). Let l = -3 + w. Sort l, 2, 4.\nAnswer: 2, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -83\/273 + 440\/1547. Which is greater: u or 3\/52?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-6))\/(2*5\/(-4))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8284501*r**2 + 14802*r + 40 wrt r?\nAnswer: 16569002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-2)\/(-4)*-10 - (-1 - 16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -4*c**3 + 10*c**2 - 2*c - 4 = 0.\nAnswer: -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2933 by 62.\nAnswer: 2933\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17999*a**5 - 6808*a wrt a.\nAnswer: 359980*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -5, 55, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l**3 - l**2 - 4*l + 60. Let k be r(-8). Suppose -118*w - k = -121*w. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11)\/(88\/(-40))*(-4)\/(-10). Determine t so that 2*t**3 + 1\/2 + 1\/2*t**4 + 3*t**2 + c*t = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -272, -1004, -2084, -3398, -4832?\n\"Answer: 19*q**3 - 288*q**2 - q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25 - -15. Let v = -8 - w. Factor 2*p**v + 0*p + 2\/3*p**3 - 8\/3.\nAnswer: 2*(p - 1)*(p + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 313221031 (base 5) to base 15.\nAnswer: 1ab7cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 483338 + 381*a - 483338.\nAnswer: 381*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-26)\/(-1040) - 41\/(-510)?\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5546 is divided by 38.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 10429\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16001729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - (-20)\/16)*44\/(-33)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, h: 8}. Give prob of picking 2 h.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 10:01 PM?\nAnswer: 4:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w. Let t(z) be the second derivative of z**4\/12 + z. What is p(t(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -434220785.57 and -9.\nAnswer: -434220794.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of 0*z**4 + 0*z**6 - 15 + 1\/70*z**7 + 0*z + 2*z**2 - 1\/15*z**5 - 20\/3*z**3. Find the first derivative of w(l) wrt l.\nAnswer: 12*l**3 - 8*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1634 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**4 + 19*h + h**2 - 19*h - 35 - 2 - 3*h**2 to the form b*h**4 + w*h + n + k*h**3 + r*h**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f + 20*f - 27*f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/10 (b) 2\/13 (c) -1\/6 (d) 0.6351 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*p**2*t**3 - 2*p**2*t - p*t**5 - p + 7*t wrt t.\nAnswer: 150*p**2*t - 20*p*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -5*t - 2*h, -11 - 9 = -t - 4*h. Let x(k) = -13*k - 7. Let j(c) = -13*c - 7. Let p(d) = 5*j(d) - 6*x(d). What is the tens digit of p(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7367841*u**3 + 7367826*u**3 + 7367839*u**3 - 22103501*u**3.\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n - 47651 = 18*n. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 542 divide 224175536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6596472120?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -86522a4?\nAnswer: 865229b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (11 - 3)*2 + -1.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 - -24. Let r = i - -28. Let j = -9 + r. Is 1\/10 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(2*2\/(-28))\/(10\/190).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7.762839 and -2787.\nAnswer: -2779.237161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -37636, -37634, -37632?\n\"Answer: 2*a - 37638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2c - -825?\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(3*(-2)\/(-24)). Let u = -2 - g. Let m be (-46)\/(-6) + (-4)\/u. Let c(b) = -b**2 + 7*b + 3. Give c(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjq when three letters picked without replacement from {q: 9, c: 7, j: 2}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1369121529.\nAnswer: 3, 23, 277, 71633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhph. What is prob of sequence hh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**16*q**(5\/2)*q*q assuming q is positive.\nAnswer: q**(41\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -483, -485, -487?\nAnswer: -489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5647631 to three decimal places.\nAnswer: -0.565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j**5\/13 + 6*j**4\/13 - 640*j**3\/13 - 384*j**2\/13 = 0. What is j?\nAnswer: -8, -3\/5, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*sqrt(10)\/((sqrt(60)\/sqrt(4))\/sqrt(3))*-4 + 5)**2.\nAnswer: -80*sqrt(2) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7*c - 2365 = -12*c, -20 = -4*c. Calculate the remainder when b is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 3*b, 31 = 5*d + 4*b - 8*b for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 221094953\/18 + -12296908. Let w = g - -13847. Calculate the common denominator of w and 89\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 14, -0.4, 0.3, 0, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/2 - 15\/(-1260)*-6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 350635 at most 350635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9245*x = 9229*x + 85 - 229 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 + 25*k - 184. Is 39 a factor of s(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3202 and -9.2.\nAnswer: -9.5202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**6\/480 + 131*j**5\/240 + 259*j**4\/96 + 43*j**3\/8 - 14*j**2 - 2*j. Determine n so that h(n) = 0.\nAnswer: -129, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 5*f**8\/336 - 5*f**7\/42 - 25*f**6\/24 + 125*f**5\/12 + 2*f**2 - 695. Let d(j) = 0. What is j?\nAnswer: -5, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3068311\/2 or 1534155?\nAnswer: 1534155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82328 is divided by 905.\nAnswer: 878","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*g**2 - 4 - 35*g**4 - 141*g**3 + 70*g**3 + 72*g**3 to the form t*g**2 + c*g + z + f*g**3 + w*g**4 and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10064771 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/k**(-3\/2))\/((((k\/k**23)\/k)\/k)\/k*k) assuming k is positive.\nAnswer: k**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -54*z - 3. Calculate the remainder when u(-3) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-445)\/5073*12\/(-30)*1.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1)*11\/((-88)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*c - 161. Let p(j) = -3*j + 18. Let s be p(4). Suppose -s = 2*x, -x - 11 = -z + 2. What is the remainder when c is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19 or -4572.6?\nAnswer: -4572.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -8102632*p - 23345942 wrt p?\nAnswer: -8102632","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 6*p = -2024. Let c = p + 655. List the prime factors of c.\nAnswer: 2, 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16*w - 49 - 31 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 112, -4 in descending order.\nAnswer: 112, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*1)\/sqrt(8) - sqrt(76)\/(sqrt(4)*-4 + sqrt(4)).\nAnswer: 4*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -1\/2, -2\/5, -14, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i - 4. Let a(n) = 5 + 6*n + 1 + 4*n. Let g(v) = 5*v + 3. Let k(w) = 3*a(w) - 7*g(w). What is 4*k(f) - 3*q(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*f - 40*f - 47*f + 3*f**3 to u + z*f**3 + m*f + j*f**2 and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*o**6 + o**5 + 162*o**3 - 13448*o**2 wrt o.\nAnswer: -1200*o**3 + 60*o**2 + 972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 3. Let j be g(-5). What is the least common multiple of (8\/12)\/(j\/27) and 3?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 20298025 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1159, 1201, 1245, 1291, 1339, 1389, 1441?\n\"Answer: d**2 + 39*d + 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 134*b**2 - 487*b + 298. What is the units digit of p(-131)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -184 in -0.3, -3, -1\/7, -0.31?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1438c - 303?\nAnswer: 14089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-14583)\/(-4))\/((270\/(-48))\/(-15)). Suppose -1130 = 16*c - d. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82708 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 308 divide 278124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52428516173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 332212581 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8944*u - 225629 + 815933 = 0 for u.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5159 + 5296. Solve -4*f - 141 = -x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c + 3. Let a be w(-4). Suppose -28*b + 114 = -26*b. Let h = 73 - b. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 less than 10071.214865?\nAnswer: 10079.214865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 - 648*w**2 - 10*w + 6483. Calculate v(648).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1220120001 (base 3) to base 10.\nAnswer: 37585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4233112434 (base 5) in base 9?\nAnswer: 17632767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 637210 and 4?\nAnswer: 1274420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5b (base 13) to base 2\nAnswer: 1001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1759, 1721, 1663, 1585, 1487?\n\"Answer: -10*h**2 - 8*h + 1777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5076 is divided by 48?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 44362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -7*o**3 - 6*o**2 + 6*o + 8. Let p(i) = -13*i**3 - 11*i**2 + 11*i + 15. What is -6*p(q) + 11*y(q)?\nAnswer: q**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 19*p**2 + p + 55. Let w be r(-19). Let u(q) = -19*q - 1. Let j be u(-2). Is j at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 81, 103, 155, 249, 397?\n\"Answer: 2*n**3 + 3*n**2 - n + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26332 and 725?\nAnswer: 658300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 21097578, 21097575, 21097582, 21097605, 21097650, 21097723, 21097830?\n\"Answer: v**3 - v**2 - 7*v + 21097585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 310*v + 1. Let z(u) = -5*u**2. What is z(f(n))?\nAnswer: -480500*n**2 - 3100*n - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 14 - 10 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/9501 and -43\/24.\nAnswer: 76008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 - -100011110?\nAnswer: 100101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 4 + (7 + -29 - (-20 - -14))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-2\/13)))\/(y*y*(y**(9\/5)*y)\/y*y) assuming y is positive.\nAnswer: y**(-322\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.71 in -1\/4, -0.4, -2\/33, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 0*n + 0*n)*(-4 + 4 + 9)*((-2 - 3 + 7)*(4*n - 3*n - 2*n) + 4*n - 5*n + 2*n + n + 0*n - 3*n + 0*n - n + 3*n + 2*n + n - n).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 17*f + 37. Give s(18).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**2 + 0*i + 5\/6*i**3 - 1\/12*i**5 + 9 + 1\/24*i**4. Let p(y) = -4*y**2 + 4. What is 3*n(f) - 4*p(f)?\nAnswer: f**2 + 3*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1778.3 - -1900. Let s = v + 20.3. Let f = 143.09 - s. What is f rounded to 1 decimal place?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -0.0482 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/66 and 9\/110.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**2 + 36 + 139 - 5*y**2 - 71 - 4*y**2 + y**2.\nAnswer: -11*y**2 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/6 (b) 0.11 (c) 277 (d) 3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-261)\/585 - (-4)\/(-26))*2\/3\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59245? (a) 0.4 (b) -6\/5 (c) -3 (d) 90 (e) -1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrrrrhrchhhrhrhhhh. What is prob of picking 2 r?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -684*t - 22900 = 461*t for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 2359 = -100*k - 21*k + 3121 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 17\/2 of a meter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.761 - -0.039. Let o = 5.8 - z. Which is the closest to 1? (a) -2\/9 (b) o (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4854896, -5, 6\/7.\nAnswer: -4854896, -5, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -18 + (20 - (21 - 35))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d**2 + 71*d**2 - 3 - 21*d**2. Let v(b) = -b. Calculate z(v(n)).\nAnswer: 55*n**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*i - 9. Suppose 2*n + 22 = -4*p + 100, 186 = 4*n - 2*p. Suppose 3*l - 3*b = n, 3*l - 15 = -l - 5*b. Solve 0*a = -i*a - l for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -34*h + 1835. Let w be q(54). What is the third smallest value in w, 0.1, -1.6, 0.3, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/(-10))\/(6\/(-30)). What is the common denominator of 1\/c*(-34)\/(-5) and -55\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -5*d**3 + 70*d**2 + 4355*d + 33800 = 0.\nAnswer: -13, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 6 - 14. Factor -2*v**4 - 2*v**s + 2*v**4 + v**4.\nAnswer: -v**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*b + 6*b - 9*b)*(-3 + 12 + 1).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 258 + -30. Suppose 3*f = -v + 133 - 5, 2*v = 5*f - a. What is the greatest common divisor of 220 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 2*j + 4. Let q(o) = -2*o - 12. Let s = -8 - -13. Suppose -a = s*r - 3*r + 16, 3*a + 5*r + 44 = 0. Let k be q(a). Determine p(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**1)**(13\/4)\/((m*m**(-5)\/m)\/(m\/m**(-2\/5))))\/((m\/(m\/(m*m**(-2\/5))*m*m))**41)**(-28) assuming m is positive.\nAnswer: m**(-31951\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23749*a**4 - 6*a**2 - 345*a - 25.\nAnswer: -284988*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429213 a multiple of 133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(8\/(-3))*20482\/57?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.84*-0.002773.\nAnswer: 0.00510232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5451493 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -5 (b) -0.2 (c) -3.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hlmf when four letters picked without replacement from slmmhfhffhmfhhh.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 smaller than 6935\/246?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/19 - (-3024)\/(-11856)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2148, -2156, -2170, -2190, -2216, -2248?\nAnswer: -2286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03043523 rounded to 3 dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z. Let t = -99 - -100. What is c(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296427 is divided by 293485?\nAnswer: 2942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56\/5*h + 2\/5*h**2 + 54\/5.\nAnswer: 2*(h + 1)*(h + 27)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v + 5*v)*(2 - 2 + 7).\nAnswer: 42*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6776 divided by -7.\nAnswer: 968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(-4))\/((44\/(-8))\/11). Do v and -8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - -6 - 2*4\/(-8). Which is smaller: 95\/8 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161 a factor of 1375761827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -476.\nAnswer: -1\/476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 minus 13.12?\nAnswer: -12.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5493254441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (11 + -27)*1\/(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 35*w**3 - 15*w**2 + 115*w - 70.\nAnswer: 5*(w - 7)*(w - 1)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2 + 64834708*x\/9 + 14407712\/9.\nAnswer: 2*(x + 3601928)*(9*x + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*(-1)\/3 + 0. Let a be (27 - 29) + 7\/(14\/(-60)). Let i = a + 31. What is the closest to i in z, -1, 0.6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10414515?\nAnswer: 3, 5, 23, 30187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/(-15) + (-2)\/3 + 1. Suppose t*g - 2*g = -2*d - 10, 6 = 2*g. Let k(u) = 2*u**2 - 3*u - 2. Give k(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w**2 - 4*w**2 + 5038 + 5118 - 10156 + 6*w**2.\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i - 4. Let r be m(13). Calculate the greatest common factor of r and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 223261 and 2284.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20201222 + -1?\nAnswer: -20202000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1015 divided by 63085.\nAnswer: 203\/12617","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-2115)\/9)\/(-2 - (-1 + 0))?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4146, -16528, -37164, -66054, -103198, -148596, -202248?\n\"Answer: -4127*b**2 - b - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes after 1:38 PM?\nAnswer: 10:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -206.52 + 190. Round v to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8493762, -16987519, -25481276, -33975033, -42468790, -50962547?\nAnswer: -59456304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 1 (c) -2\/19 (d) 0.3 (e) 2\/25 (f) 501\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/(-9)*(-1 + 4). Let k be i\/6*(-36)\/(-8). Suppose 0 = 3*c + d + k - 1, 15 = -2*c - 3*d. What is the closest to c in -0.2, 2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -3*x**3\/8 - x**2\/4 + x\/8 = 0?\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 553.6 + -554. Which is the nearest to -2? (a) u (b) -0.05 (c) 6 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - (-2*sqrt(84)*4 - sqrt(84)) - (sqrt(84) - 6*sqrt(84)*-2))*6)\/(sqrt(56)\/(sqrt(40)\/sqrt(5)) - sqrt(343)*-4).\nAnswer: -36*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055 less than -7782162?\nAnswer: -7782162.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**3 + 2*j**2 - 4. Let m = -18 + 58. Let h be m\/12*3\/2. Let q(l) = 2*l**3 - 5*l**2 + 9. Calculate h*y(w) + 2*q(w).\nAnswer: -w**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 19*m**3 - 23*m**2 - 106*m - 13. Determine n(-4).\nAnswer: -1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879238243 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 5*s. Let h(w) = 4*w. Let n(d) = -4*b(d) + 6*h(d). Let o(g) be the second derivative of -g**3 + 100*g. Calculate n(o(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 12:30 AM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/606 and (-12)\/30*(-2745)\/36.\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*j*t**2 + 443*j*t - 2*t**2 wrt t.\nAnswer: -206*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2558540 divided by 6733?\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -2*m**4\/3 + 814658*m**3\/3 - 36885167940*m**2 + 5018138903909848*m\/3 - 815020161922177648\/3 = 0.\nAnswer: 163, 135722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, g: 8}. Give prob of picking 3 g.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, 0.1, -0.03, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, -4, -1\/5, 8\/17 in descending order.\nAnswer: 8\/17, -1\/5, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d + 66 + 58 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4830 and 21045.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 23741 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07403 rounded to two decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z**2 + 3. Suppose -b = b. Let g be r(b). Suppose 0 = 2*v + 3*v + j - 13, -g*j - 12 = -2*v. Solve 2*o - 5 = v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 3 (c) -0.3 (d) -0.24 (e) 3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -180*b = -193*b + 78. Solve 0 = -o - 2 + b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.9? (a) -5 (b) -0.5 (c) -2332\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 108.6 - 108. Let k = -5 - -4. Which is the second biggest value? (a) g (b) k (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392496673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 2*v = 226 - 39, 5*v = 4*j + 136. Let w = j + 28. Let n = w + 20. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476 rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12650*t + 12652*t = 4. Solve -2*z = 5*y - 25, t*y = -z + 10 - 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 6 - 13 + 40*t - 102*t - 1 to the form x + c*t and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 9:33 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 3*y - 4. Solve -3*i + 12 = -3*t, t + y*i + 0 = -4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963727 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {n: 5, d: 6, r: 3, c: 1, z: 3}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 9*g**2 - 8*g + 5. Let b be m(-8). Let d = 121\/5 - 24. Sort d, -2\/9, b in descending order.\nAnswer: b, d, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 9. Let d = 0.1 + -1.1. Which is the nearest to d? (a) w (b) -0.4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 249*90\/243*48\/(-40). Which is greater: -110 or u?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11*(3 - 3 - 12). Let q = -327 - -339. Calculate the highest common factor of p and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-4\/3)*u\/u**21)\/(u**11\/(u\/u**(3\/8))) assuming u is positive.\nAnswer: u**(-713\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/n**(3\/2)))\/n*n*n\/n**(1\/2))\/(n**3*n**(-1\/11)) assuming n is positive.\nAnswer: n**(-10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1ba8535 + -4?\nAnswer: -1ba8539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66145?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7747.\nAnswer: 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1153814, 1153811, 1153808, 1153805, 1153802?\n\"Answer: -3*f + 1153817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3132?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 12936.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, d: 1, u: 2, j: 3}. What is prob of picking 2 j and 2 u?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are 69\/8 and 9 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -373*u - 381 + 1152 - 388 - 383.\nAnswer: -373*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119.1 + -60.5. Let m = g + 180. Let d = 0.1 + -0.4. Sort 0, d, m, -1\/7 in ascending order.\nAnswer: d, -1\/7, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7135512 and 349780.\nAnswer: 35677560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-13)\/(l\/(l*l*l*l*l**(-1\/2)*l))*l**(-5)\/(l\/(l*(l*l**(-1\/8)*l)\/l)))**(-7\/9) assuming l is positive.\nAnswer: l**(763\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 6\/5*z**2 + 0*z - 2\/25*z**5 - 2\/5*z**4 - 103 - 2\/15*z**3. Factor i(y).\nAnswer: -2*y*(y - 1)*(y + 2)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10988 - -10987. Put -4, p, -6\/373 in ascending order.\nAnswer: -4, p, -6\/373","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965872830 to the power of 1\/2, to the nearest integer?\nAnswer: 31078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 55, 103, 149, 193, 235, 275, 313?\n\"Answer: -c**2 + 51*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/4)\/(1\/2). Let z(r) = -r**2 - 4*r - 2. Suppose 3*x + 17 = -4*f, 0 = x + f + 2*f + 9. Let q(v) = v. Let k(w) = x*q(w) - z(w). What is k(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y + 9. Let b be m(5). Let o = b - -7. Suppose 5*d + 20 = -t, -t - 4*d = -3*t + 30. Solve -t*c - 3 = -4*u, 3*u - 2*c - o = 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15f (base 16) in base 13?\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(3*(0 + sqrt(325))*6 - (sqrt(325) + sqrt(325) + 0)*3*4)**2.\nAnswer: -46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-75)\/(-90)*(-2)\/5. What is the biggest value in 5, 0.133, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2339 = 16*z - 10915. What are the prime factors of z?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*h**2 + 12*h**2 + 13*h**4)*(112 + 3 + 124).\nAnswer: 3107*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17666*c**2*r**2 - 3*c*r**2 - r + 835 wrt c?\nAnswer: -35332*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 not equal to 1\/495?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9663.000011974 + -9663. Round b to seven dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 30, 41, 52, 63?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1278 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.481021l to millilitres.\nAnswer: 6481.021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-3\/17)*v)\/(v*v*v**(1\/44)*v*v))\/(v**(-18)*v**(1\/8)) assuming v is positive.\nAnswer: v**(21955\/1496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 16*w**2 + 80*w - 4. Determine j(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3*f + 20 = 0. Let z(l) = -7*l. Let a(w) = -3*w. Let m(c) = f*z(c) + 9*a(c). Let i(t) = 2*t**2. What is i(m(s))?\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**7\/525 + n**6\/300 - 4*n**2 - 31*n. Let r(c) be the first derivative of j(c). Determine s, given that r(s) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i + 3*s + 23, -4*s - 16 = i. Let k be 2\/i - 5\/2. Calculate the common denominator of -35\/2 and 89\/(-1)*k\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -d**7\/840 - d**6\/120 - d**4\/6 - 2*d**3\/3 + 1. Let v(x) be the third derivative of b(x). What is v(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -445239 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 1090?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 7. What is the biggest value in 15, -2\/7, r?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/401827604?\nAnswer: 3\/401827604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -f**4\/4 - f**3\/3 - f**2\/2 - 4*f + 2. What is the remainder when w(-3) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3604 - 18021\/5. Put -7\/2, 0.4, w in ascending order.\nAnswer: -7\/2, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 2*s - k + 3, -6 = 3*s - 5*k. Solve s*i = -5*l + l - 12, 5*l = -2*i - 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -223 + 667\/3. Which is the third biggest value? (a) -1 (b) 22 (c) -5\/3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*h - 8*h + 6. Which is the closest to h? (a) 1\/19 (b) 0 (c) -2 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29456311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*n + 628 = -1649, 0 = -2*g - 5*n + 4558. List the prime factors of g.\nAnswer: 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2499 and 1085399?\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -37051*f**3 - 728*f**2 + 91*f. Let g(t) = -2470*t**3 - 48*t**2 + 6*t. Determine 91*g(m) - 6*l(m).\nAnswer: -2464*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -18, -14, -25, 4, 11, -5 in decreasing order.\nAnswer: 11, 4, -1, -5, -14, -18, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gj when two letters picked without replacement from {g: 1, i: 1, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9798338 minutes in nanoseconds?\nAnswer: 58790028000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4*(-2)\/(-3))\/((-4)\/(-18)). Solve -2*k + 0 = -w - 4, 3*k = -3*w - l for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6325 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -87 or -93?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.09 and -0.14002333495.\nAnswer: -0.05002333495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3745333 is divided by 936320.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pfuuppupuppfp. Give prob of picking 1 u, 1 f, and 1 p.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 295 - 291. Solve 0 = 5*k - 2*m - 2*m + 7, -o*k - 2 = -5*m for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the first derivative of u**2\/2 - 4*u - 11. Suppose 3*z - 2*g + 5 = -0*g, 3*z = -2*g + 11. Let d be 3*z\/(-2)*-2. What is m(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282001 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:41 AM and 5:54 AM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 108059 or -866?\nAnswer: 108059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -4\/9 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5602, 23353, 52932, 94333, 147550, 212577, 289408, 378037?\n\"Answer: -y**3 + 5920*y**2 - 2*y - 315","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -1067*b + 4 - 1052*b + b**2 - 902*b**4 + 2121*b in the form a + f*b**3 + n*b**4 + o*b**2 + w*b and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.46094km in nanometers?\nAnswer: 11460940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4374 by 1458.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 9*l - 37 = -4*l, 0 = -3*m + 4*l + 66. Calculate the remainder when m is divided by 117\/15 + (-12)\/15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13374*(10 + 68*(-13)\/156)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -488520 divided by 2.\nAnswer: -244260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, 11, 33, 55, 71, 75?\n\"Answer: -x**3 + 9*x**2 - 4*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212, -196, -180, -164, -148, -132?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1055 (b) 1 (c) -5 (d) -4 (e) -2\/7 (f) -0.061\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -5*m**4 + 10*m + 3*m**3 + 25*m**2 + 2946*m**5 - 2951*m**5 + 12*m**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -4 - 1\/16*t**4 - 15\/8*t**2 - 7\/12*t**3 - 9\/4*t. Factor s(n).\nAnswer: -(n + 1)*(n + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39760.694 - 40463.1. Let u = d + -0.594. Let j = u + 702.381. What is j rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - 2. Let b = 10 - 6. Let c = 6 - 5. What is the nearest to c in h, -2\/13, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23950.\nAnswer: 2, 5, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 36*q + 33. Give k(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a = 53*a + 144 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 7*s**2 + 9*s + 10. Let x(p) = 13*p**2 + 19*p + 19. Let m(j) = 9*d(j) - 4*x(j). Is 9 a factor of m(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 89*s**2 + 187*s - 439. Is w(74) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -102, -139, -174, -207, -238, -267?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 28 = 9*m, 2*m = 2*t - 6781 + 6781 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77 and 56.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-9))\/((-1)\/30) + 7 + -2. Solve 3*s + a = 33 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 569 - 641. Let x = 78 + r. What is the least common multiple of x and 540?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, p: 7}. What is prob of sequence qq?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1164 + -473. Suppose 0*h + 3 = h, m = 2*z + h. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/6*4*2094\/16. Suppose 0 = t + 24 - i. Calculate the highest common factor of t and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2011113 (base 5) in base 15?\nAnswer: 9758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**3 - u**2 + 4*u + 2. Let n be i(-3). Solve 5*d - 1 = -q + n, -6 = -3*d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 288 = -6*o + 2*o, -3*z + 217 = -2*o. What are the prime factors of z?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = q + 772, -8 = 5*q - 33. Does 13 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 969*w**3 - 4*w**2 + 3*w - 2. Let g(m) = -m**3 - 15*m**2 - 34*m + 25. Let k be g(-12). List the prime factors of y(k).\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -349900 to the nearest ten thousand.\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 2)*(2565 + 116 + 1170)*(0*q + 0*q + q) in the form j*q + k and give j.\nAnswer: -7702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7076221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 0.55\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-15)\/(20148\/(-1184) - -17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*j + j - 6*j**3 + 2 + 0 as d*j**3 + l*j**2 + m*j + g and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42.1 - -42. Let k = -0.15 - 2.85. What is the nearest to f in -1\/7, -0.1, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 26433033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90530 - -721.\nAnswer: 91251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3154, 6521, 9896, 13291, 16718?\nAnswer: 20189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -2966.7?\nAnswer: -2966.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1877, -1903, -1927, -1949?\nAnswer: -1969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4 + (sqrt(19) - ((sqrt(38)\/sqrt(2) - sqrt(19)) + sqrt(19))))*3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -704 + 1244. Suppose 17*g - 14*g = d. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 2*h = -h - 1673, -h - 3 = 0. Let y = 423 - d. Solve 0 = y*v - 20, 2*o + v - 12 = -3*v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2469 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -2*p**2 - 8*p + 8. Let n be w(-6). Which is greater: -122\/7 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -25. Let x = 55.9906 - m. Round x to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 0. Suppose -3*k - b*g = 4, 6*k - k - 20 = 2*g. What is the remainder when k is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 312654*w**3 + 87*w**2 - 911501279 with respect to w.\nAnswer: 937962*w**2 + 174*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1905674 to 4 dps.\nAnswer: -0.1906","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 - c + 6*c + 1 + c - 3*c. Let f be j(2). Suppose f*i - 104 = 22*i. Round i to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4285689?\nAnswer: 3, 41, 34843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of d**4\/4 + 13*d**3\/3 + d**2\/2 + 4*d + 635. Give s(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r + y - 4*y - 6562, -3*r - 2*y = -3941. Let g = 1736 + r. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*y**2 - 3*y**2 - 9*y - 11*y**2.\nAnswer: -3*y*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15470, 2\/9, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, p: 1}. Give prob of picking 2 h.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -6*o - 71. Calculate the least common multiple of 12\/o*16\/(-12) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51255 < -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16813 and 193715.\nAnswer: 731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**4\/7 + 8*t**3\/7 + 156*t**2\/7 - 8*t\/7 - 22 = 0.\nAnswer: -7, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -68 - -72. Solve 4*t - 4*u = -20, t + 9*u - 7 = h*u for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 212 divide 3967368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.17 + 0.08. Let z = -26.29 - j. Let y = z + 26. Which is the closest to y? (a) 1\/2 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - 7. Let u(j) = -2*j**2 + 3*j - 3. Let i(z) = z**2 + 4 + 2*z - 6*z + 2*z**2. Let t be 2\/(-4)*(-1 - 5). Calculate m*u(x) + t*i(x).\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1675441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 12, p: 6}. Give prob of picking 2 b and 1 p.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (97*h - 84 + 81 - 25*h - 3*h - 2*h + 4*h + (4 - 4 + h)*(2 + 0 - 3) + h - 2*h - h)*(-h**2 + 4*h**2 - 6*h**2).\nAnswer: -204*h**3 + 9*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -8377901 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 0) + -5 + (-5 - 0).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a - 22?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 0*u - 20. Let t = 4 - u. Suppose t*n - 12 = -n. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 + 27*z**2 + 36*z - 49. What is w(-25)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**2 - 7*n**2 + 2*n**2 - 2*n.\nAnswer: -8*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -390 + 80*t + 416*t**2 - 387*t**2 - 46*t - 34*t + (-2*t + 5*t - 4*t)*(4*t - t - 4*t) to i + o*t**2 + n*t and give i.\nAnswer: -390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/3 - 1748*n**2\/3 + 5230*n\/3 - 3484\/3.\nAnswer: 2*(n - 871)*(n - 2)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 928157\/5186685 - 5\/22071. Let l = h - 14319\/5170. Calculate the common denominator of -139\/6 and l.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 8\/270765?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1419 = -4*a, -a + 3*j + 360 = j. What is the hundreds digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216919, -216901, -216885, -216871, -216859, -216849, -216841?\nAnswer: -216835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57689 is divided by 28760?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-7))\/((33\/(-308))\/(34619\/26)). Calculate the greatest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 6*s**2 + 16*s - 7. Give v(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 5) + 0 + 17. Suppose -2*q = -5*l + 10, 0*q - f = 4*q + l. What is the units digit of (q\/10)\/((-4)\/72)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -12*c**2 + 99*c - 12. Let r be v(8). Solve -r*k = -2*k + 19*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 1 - 1)*(1 + 1 - 1)*(-10 - 1 - 9)*(-3 - 1 + 1)*(-4 + 0 - 1).\nAnswer: -600*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.673723 decades?\nAnswer: 0.0673723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 2\/13 (b) 498 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 37. Let i = z + -41. Let d = 28 + i. Calculate the smallest common multiple of 4 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 2*t - 3*t)*(-3 - 47 + 16).\nAnswer: -68*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 166 = 150, -5*r = -x - 21 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - (-7)\/3. Suppose -j*b + 2*r + 196 = -3*r, 0 = 4*b - r - 267. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -5*v**5 + 20*v**4 - 70*v**2 + 85*v - 30 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v - 1 - 2 + 0. Let w = 21 + -21. What is g(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 (base 14) in base 7?\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 - 14*d**2 + 3*d - 11. Let b(i) = -i + 4. Calculate the lowest common multiple of b(2) and m(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 76*l. Let c(w) = -34*w. Determine q(c(h)).\nAnswer: -2584*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (110*f**2 + 258*f - 258*f + (f**2 + 3*f - 3*f)*(-2 + 1 + 2) - 7*f**2 - f + f)*(0*f + 0*f + 2*f) in the form x*f + g + m*f**2 + t*f**3 and give t.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117501*g + 105270*g - 1282*g + 60919*g.\nAnswer: 282408*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/((3\/(-2))\/1). Let s = 49 - 34. Let v be (10\/(-6))\/((-5)\/s). Calculate the greatest common divisor of n and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378 is divided by ((-3)\/(-9))\/(11\/2607) + -3.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -178863, -357729, -536595, -715461?\n\"Answer: -178866*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**3 + 3*n**2\/2 + 23. Factor c(k).\nAnswer: 3*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -70*h**2 - 44. Let m(g) = -140*g**2 + g - 88. Let x(w) = 5*c(w) - 2*m(w). Differentiate x(p) with respect to p.\nAnswer: -140*p - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 17, -37, -127, -253, -415, -613, -847?\n\"Answer: -18*p**2 + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -4. Let p(f) = f**3 + 10*f**2 + 2*f - 3. Let s be p(n). What is the greatest common divisor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*l - 4*m + 6, -l = -2*m. Calculate the remainder when 4 is divided by l.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 26 - (-145 - -198).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1 and 68305.\nAnswer: 68306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 + 13*a**2 - 18*a + 21. Determine f(11).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/12 + 5*z**3\/6 - 89*z**2\/2 - 19*z - 26. What is w(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**26*o**(-1\/8) assuming o is positive.\nAnswer: o**(207\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.06535 + 1.06535. Sort a, -0.03, 0, -5, -4 in descending order.\nAnswer: a, 0, -0.03, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 + 10 + 9 + 37.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16974\/11 - 1542. Calculate the common denominator of 47\/22 and o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i. Let a be w(-4). Let o = 27.5 - 27.8. Let u = -0.9 - -1. What is the closest to u in a, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -7 - (6 + (14 - 20)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g. Let w(l) be the first derivative of -l**4\/4 - 2*l**3\/3 - l + 2. Let j be w(-2). Let m be -2 - (3 + -2 + j). Give n(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3630 and 60.\nAnswer: 7260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22264793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2257 and 16669470?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of 7*c**3 + 13*c**2 - 1449*c + 1513. Differentiate o(f) with respect to f.\nAnswer: 42*f + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 55 (b) 0.01 (c) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 0.082299859?\nAnswer: -0.411499295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-15)\/(-6) - 2). Let u be w + (-2)\/(-4)*18. Suppose 4*v - g = 489, 11*g = -43 - 12. What is the highest common divisor of v and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8483?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 5:09 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**5 + 3*z**5 - 3*z**5)*(-14 - 49 - 121).\nAnswer: -368*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.25, -2, 46.\nAnswer: -2, -0.25, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 333786\/7 (b) -0.13 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - m**2 - 6*m + 6. Let y be p(3). Let f be (4\/y)\/(8\/684). Suppose 0 = 4*x - f - 39. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -53c473 - -5?\nAnswer: -53c46d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29265645621.00000077 - 29265645751. Let y = -130 - w. Round y to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48336133591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*v + 822 - 125. Put v, -4, 0.3 in ascending order.\nAnswer: -4, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-5*2)*(-9)\/1368*-190?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 5*b - 24. Let a be (6\/18*-3)\/(1\/(-45)). Suppose b*u = u + a. What is the lowest common multiple of u and 7?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600448 is divided by 300220.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 190696.6 micrometers to kilometers.\nAnswer: 0.0001906966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 2*m - 2, 4*j + 4*m + 28 = -0*m. Put 4, j, 7 in descending order.\nAnswer: 7, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -5, 3, 5 in decreasing order.\nAnswer: 5, 3, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -2, 16 in decreasing order.\nAnswer: 16, 5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 11*k**3 + k**2 - 3*k. Let t(s) be the third derivative of 7*s**6\/40 + s**5\/60 - 5*s**4\/24 + s**3\/6 - 3073*s**2. What is -5*f(u) + 3*t(u)?\nAnswer: 8*u**3 - 2*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 5*m**2 - 3*m - 12. Let x be h(-5). Let t(o) = o**3 - 4*o**2 - o + 1. Calculate t(x).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 14 = 5*s - 5, -3*s = 3*b - 9 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*y**2 - 3 + (-y - 3*y + y)*(3*y + 7*y + y) to the form d + v*y + x*y**2 and give x.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6822, -13593, -20364?\nAnswer: -27135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43269830*l**2 + 43269830*l**2 - 134*l**3.\nAnswer: -134*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68659 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 14 (b) -3\/4 (c) 1\/8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4ba78 (base 14) in base 15?\nAnswer: -3a144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/33 in -3\/2, 162, 67, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 22 = -78 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11 - 3*d + d**2 - 6 + 8*d. Let l be q(-4). What are the prime factors of l*(2 + -2 + 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*k - 132 = -80*k - 362 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -19, -3, 2, -68.\nAnswer: -68, -19, -5, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - 0. Let b be 6\/u*(0 + -2). Let q be -1 + (3\/(-27))\/(2\/(-34)). Which is bigger: q or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31189.89 centuries in millennia?\nAnswer: 3118.989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -332, 492, 6, 1 in descending order.\nAnswer: 492, 6, 1, -332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-14 + 170)*-322*9\/18 - -14.\nAnswer: 21\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-3 - -1) + 3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*t = -v - 7904, 0 = -v - 4*t - 3954. Let r = v + 5584. Is r a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 149 + 148 + 13527*a - 450 + 153 as t*a + f and give t.\nAnswer: 13527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33 - 33.24. Let w = v - -0.21. Let z = -0.13 - w. Which is the third biggest value? (a) z (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pypypppppppypypppp. Give prob of picking 1 p and 1 y.\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/156)\/(1\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 12*t + 77*t. Factor 5\/2*x**2 + t + 5\/4*x**5 - 5\/2*x**4 + 0*x**3 - 5\/4*x.\nAnswer: 5*x*(x - 1)**3*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 0.5 (b) -5\/1004 (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**2 + 75*k**2 - 19*k**2 - 37*k**2 - 80*k**2.\nAnswer: -86*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-190)\/38 + 114 + -1. Suppose t - 13*t = -k. Calculate the remainder when 72 is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2+0.048084\nAnswer: 2.048084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2960018747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 315108 (b) -0.1 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 212 = -3*j + w, 4*j + 3*w - 428 = 0. Suppose 10*d - 15*d = 25, 3*y = 4*d + j. What is the remainder when 167 is divided by y?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a microgram in nanograms?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - 3*n + 2*n)*(30*n**2 - 14*n**2 + 2 + n**3 - 14*n**2).\nAnswer: -n**4 - 2*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-588.\nAnswer: 588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cyycciccicyyyiuc. What is prob of picking 2 y?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2. Let z(x) be the third derivative of -50*x**4\/3 + 8*x**2 + 23*x. What is a(z(m))?\nAnswer: 160000*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3772054797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 206*m. Let o(g) = 2*g**2. Determine o(r(k)).\nAnswer: 84872*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 17*w + 16. What is o(12)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 18177*q**2 + 16*q - 2. Is a(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1)\/2)\/((-17)\/62) and (21\/(-140)*2)\/((-48)\/1540)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -421140.86294 and 0.2.\nAnswer: -421140.66294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 171819 divided by -1?\nAnswer: -171819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-4)\/(k\/(((k\/(k*k**(4\/9)))\/k)\/k))*(k**2\/k*k)**17 assuming k is positive.\nAnswer: k**(239\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/7)*c*c**13*c**(-13\/5)\/(c*c**(-1)) assuming c is positive.\nAnswer: c**(409\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 6) to base 16\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29944155?\nAnswer: 3, 5, 1996277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15cb (base 15) to base 11.\nAnswer: 3585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 36. What is the remainder when 79 is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + f - 2. Let o = 9 + -1. Suppose 4*k - o = 5*k. Let y be (-3)\/2*k\/6. Calculate u(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 1062*p**3 - 18*p + 17. What are the prime factors of v(1)?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18035028119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8307 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*t + 2*i + 1337, -t = 3*i - 277. List the prime factors of t.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936 is divided by 277.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a millennium in decades?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 8, -16, -38?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2662*c**2 - 2 + 2662*c**2 - 2*c**3 + 2.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 5*j - 32. Let z be p(7). Let l be z + (-14 + 17)\/(3\/(-202)). What are the prime factors of l\/3*(-1 + -2)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 30 - 42. Let l be (1 + -4)*w\/(-162). Put -2, 6\/7, l in descending order.\nAnswer: 6\/7, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u + 102. Let b = -2 + 2. Let l be h(b). Suppose 4*a + 0*q + 3*q = 86, 4*a - 5*q - l = 0. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(847) - (sqrt(847) + -2 - sqrt(847))))**2 + 6*(sqrt(847) + 3 - sqrt(847)) + ((sqrt(343)*-1 + 0)**2 - (-4*(sqrt(7) - -2*sqrt(7)))**2*-5).\nAnswer: 1100*sqrt(7) + 26676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5367159375 to the nearest integer?\nAnswer: 73261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 589361.7 milligrams in kilograms?\nAnswer: 0.5893617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {k: 1, d: 1, w: 1, m: 1, o: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -77412 + -2.4115?\nAnswer: -77414.4115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -130849751 to the nearest 100000.\nAnswer: -130800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(570)*1)\/sqrt(10))\/(sqrt(3) - sqrt(12)*-1))**2.\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = w + w. Calculate the greatest common divisor of 93 and w.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6834\/59 or -0.021?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 7*x - 21 = -k, 4*k = 2*x + 82. Let s(j) = -j**3 + 21*j**2 - 24*j + 79. What is s(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 379 or 417?\nAnswer: 417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes before 5:47 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.2 (b) 1\/3 (c) -0.255\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 2:50 PM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -179, -364, -549?\n\"Answer: -185*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-12)*-49)\/((-30)\/(5640\/(-47))).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-4)\/10)\/(2\/10). Let r be v*((-207)\/(-2) + 2). Let g = r - -372. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2661, -2664, -2667, -2670, -2673, -2676?\n\"Answer: -3*a - 2658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 80*p**3 - 1025*p**2 + 5060*p.\nAnswer: 5*p*(p - 23)*(p - 4)*(p + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6182 and 88?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19798308?\nAnswer: 2, 3, 23, 23911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-11\/9)\/z)\/(z*z\/(z**(-33)*z))*z*(z*z*z**12*z)\/z*z*z**(-3)*z assuming z is positive.\nAnswer: z**(-200\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17 - -20 - (2 - (1 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most 2\/437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -28 + 33. What is the remainder when 11 is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1168 is divided by 74.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**5\/20 - 7*o**4\/6 - o**3\/3 + 43*o**2\/2 + 33*o. What are the prime factors of a(14)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -1403*j. Let t(c) = -2*c**2. What is t(f(q))?\nAnswer: -3936818*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(13) - -1*sqrt(13)) - sqrt(13)) + (1 + sqrt(1872) - sqrt(13)) + -2 + -6*sqrt(52).\nAnswer: -6*sqrt(13) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48620 and 765?\nAnswer: 437580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2*z, 0*z + 3*z + 15 = 0. Let b = 86 + -85.3. What is the second biggest value in 0.5, g, b, -1\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gi when two letters picked without replacement from itwippptbgi.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -9, 23, 22, -0.05, 0.6?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-19 + 7)\/(9\/(-50550)). What is l rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2303.546 litres?\nAnswer: 2303546","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 5:25 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 22201 and 149?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 0, 2*u - 5 = 2*x + 3*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 8 - 20. Let m be (-1 - 1)\/((-2)\/o). Is 6 a factor of 2*1\/(m\/(-30))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1. Let f(v) = -8*v + 4. Let r(q) = f(q) + 4*t(q). Let c(p) = -2*p. What is c(r(i))?\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*d - 10 = 7*d. Suppose -4*v = 4 - 12. Find the third derivative of 4*s**d - 3*s**2 + 0*s**5 + 2*s**5 + 3*s**v wrt s.\nAnswer: 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(171) - (0 + sqrt(19)*-2)**2.\nAnswer: -76 - 15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2711.\nAnswer: 2711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0642236 months in centuries?\nAnswer: 0.000886853","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 2 x when four letters picked without replacement from iixixixxxicjxjxiiiix.\nAnswer: 336\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 3*t + 3. Let a be r(0). Solve 3*u - 20 = -5*z, u = -a*u - 5*z + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25557.\nAnswer: 3, 7, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = 2*n - 3*s, 8 = n + 2*s. Does 9 = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 4*l - 3. Let f(p) = -2*p - 9. Let x be f(-6). Let y be v(x). Is 9 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*c)*(1 + 3 - 3) + 2*c + 5*c - 5*c + 17*c - 5*c + 9*c.\nAnswer: 25*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 519.7 - 519.6992912. Round i to five dps.\nAnswer: 0.00071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -333*o + 664*o**2 + 2*o**3 - 332*o**2 - 332*o**2 in the form u*o**2 + v*o**3 + x*o + y and give x.\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127949 is divided by 814?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 110 + -104. Sort t, -2\/7, -5 in ascending order.\nAnswer: -5, -2\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1644*m + 156 = 1722*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -3*t + o, 2*t - o = -o - o - 8 - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/(-96))\/(2\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 w when four letters picked without replacement from wkkkwww.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1231032?\nAnswer: -1231033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/11? (a) 1 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1584)*-1*3 + -2*(sqrt(1584) + -1))**2*3*1 + -3.\nAnswer: -720*sqrt(11) + 118809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ouuk when four letters picked without replacement from kuquooo.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8 - 18 + 10 + 31*l to x + d*l and give d.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2243 and 4?\nAnswer: 8972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -804 + 240 = 140*p + p. What is the nearest to 3\/5 in 14, 2, -5, p?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 86031477 and -0.38.\nAnswer: 86031476.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 3551?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 94430 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1574148681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/5)\/((-5)\/50). Let h be g\/(-7) + -9 + (-372)\/(-28). Solve -13 = -o - o + 5*d, 3*d = -h*o + 13 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or -294530?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 557\/70 - 62\/7. Let w = s + 37\/30. Factor 1\/3*d**2 - w*d - 2\/3.\nAnswer: (d - 2)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -61 * 438885\nAnswer: -26771985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 19. Let u = i + 2.3. Put u, 1, 3 in decreasing order.\nAnswer: 3, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {o: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4 = -3*q, 4*g - 1 = 19. Let v(h) be the first derivative of -5\/2*h**2 - 1\/3*h**3 - 2 + 2*h. Give v(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = 66. Let b = -17 + 28. Calculate the greatest common divisor of b and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of 200*u**3 - 78*u**3 + 11 + 14*u**2 - 67*u**3 - 68*u**3. What is the second derivative of p(b) wrt b?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**2*o - 11*m**2 - 2*m*o - 21*m - 1201*o - 9 wrt m.\nAnswer: -2*m*o - 22*m - 2*o - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*v - 5808, -5*b - 2*v + 6525 + 742 = 0. Suppose -b = -c - 2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(4\/6*36\/(-8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.4? (a) 0.5 (b) 31 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/8 and 5\/122.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 8 + 2. Suppose l + 2*y - 4 + 1 = 0, 4*y = 5*l - 29. Suppose r*o + l*w = 199980, o - w = -o + 80004. Round o to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.06? (a) 2 (b) -0.04 (c) 1146 (d) 2\/11 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -2\/19 (c) 78\/19 (d) 11 (e) 1 (f) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 11587 (c) -2\/3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4427 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 1) + (-3 - -4). Suppose -i*n = -0*n. Let m be 10 - (-3 + (3 - n)). What is the greatest common factor of m and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16055, -16491, -16927, -17363, -17799?\nAnswer: -18235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -11500666*d**3 + 10150057 wrt d?\nAnswer: -34501998*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 5:28 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101874\/14*(1064\/76)\/(2 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 463 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (17 + -56647)*474\/(-15). Suppose 1200508 = o - 0*o. Let a = c - o. What is a rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/(-85)*10\/12*4.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4*-3463959\nAnswer: -13855836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(224) + (sqrt(224)*-2 - sqrt(224)))\/sqrt(7) + 3)**2*1 + -2 + 4)*-5.\nAnswer: -705 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00096166195 to five decimal places.\nAnswer: 0.00096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 5*o - 9, 4*o - 48 + 6 = -5*x. Suppose x*v - 3*v - 45 = 0. Suppose 6*s + v = 9*s. Which is smaller: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64.3 times -4584?\nAnswer: 294751.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -264606, -529212, -793820, -1058430, -1323042?\n\"Answer: -w**2 - 264603*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - 1. Let q be (16 + -13)\/(3\/m). What is the remainder when (-782)\/(-51)*(-3)\/q is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -74, 36, 113 in decreasing order.\nAnswer: 113, 36, 0, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qehe when four letters picked without replacement from qeqeeeeqqqhqehheeeeh?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 838 = j - 5*u, 4*u - 865 = -j - 0*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5) + 9\/15. What is the units digit of -4*(-1 + (1 - u))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of 1\/3*z**6 + 0*z + 0*z**5 + 0*z**2 + 1\/3*z**3 + 0*z**4 - 3. Find the third derivative of h(v) wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.25*0.16\nAnswer: -0.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4446?\nAnswer: 2, 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 277020970?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-1))\/((-8)\/(-164)). Let i = s - 21. Is i a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7438\/1287 + 2\/1287. Let x = j - -167\/18. Factor z + 2*z**3 + x*z**2 - 1\/2.\nAnswer: (z + 1)**2*(4*z - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 388.99 - 3.99. Let z = s + -374. Which is the fourth smallest value? (a) 3 (b) 0.4 (c) -3\/5 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 490275309 and -2.\nAnswer: 490275307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16 - 14. Suppose h + v*k = 0, 4*k + 12 + 48 = 4*h. What is the remainder when 19 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96726447 to the power of 1\/2, to the nearest integer?\nAnswer: 9835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2489 (b) 5 (c) 2 (d) 4 (e) 1\/2 (f) -2\/11 (g) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/12)\/(1\/4) - 4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 7. Suppose -2*g - 10 = 3*g. Let s = -110 - -114. Sort g, r, s in descending order.\nAnswer: s, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 - 9019*z + 9018.\nAnswer: (z - 9018)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/20 and 25\/160139.\nAnswer: 3202780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w**2 - 17*w - 5. Determine q(-5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82 + 56*r - 28*r - 28*r - 2*r**2.\nAnswer: -2*r**2 + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 79136921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -209 + 209. Determine y so that k + 1\/3*y**2 - 1\/3*y**5 + 1\/3*y**3 + 0*y - 1\/3*y**4 = 0.\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 608975816, 608975817, 608975820, 608975825, 608975832, 608975841, 608975852?\n\"Answer: n**2 - 2*n + 608975817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 3 = 3*v, -3*t - t + 22 = 2*v. Solve 0 = w + 3*w + t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 (base 14) in base 8?\nAnswer: -126","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -20*w**2 + 81*w + 167. Determine a(-2).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 192 and 168.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 864?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11138224 to the nearest integer?\nAnswer: 3337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(175)*1 + sqrt(21)\/(sqrt(3) + -3*1*sqrt(3) - sqrt(3)))**2*-1.\nAnswer: -5887\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.349071 rounded to 3 decimal places?\nAnswer: 1.349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 224875615?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 12314320134?\nAnswer: -12314320124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (107 - 101) + (53 - 188)\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9985?\nAnswer: 5, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 59310\/(-98850)*(-10)\/72*2*336?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 19, 17810 in descending order.\nAnswer: 17810, 19, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 + 11*k**2 + 6*k - 41. Let x be c(-10). Sort x, 2, 1\/35, -0.3.\nAnswer: x, -0.3, 1\/35, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 6:53 PM?\nAnswer: 5:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4022 is divided by 31?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 18 = 9. Let w be (3 - 5)*-1*z. Suppose 194 = w*i - 22. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3319608 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*w, -3*r - w - 1 = w. Which is the biggest value? (a) r (b) 1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/56 - 564\/420\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4*y**3 - 106*y + 3*y**4 + 108*y - y**4 as w*y**3 + c*y + o*y**4 + k*y**2 + m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-nine fifths of a centimeter?\nAnswer: 58000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 2:33 AM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1926)\/(-535)*200\/(-12).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -1. Let z be (-26)\/(-10) - k\/(-5). Let v be 2220\/777*(-14)\/(-5). Solve -z*r - v = r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15*(68356\/3795 - 18)*121\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 162*k - 14760. What is r(91)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, y: 2}. What is prob of picking 1 y and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 2:30 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -3*o**5\/5 - 7*o**4\/4 + 521*o**3\/3 - 1373*o. What is the second derivative of t(z) wrt z?\nAnswer: -72*z - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(36\/8))\/(12\/2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 965518374?\nAnswer: 2, 3, 31, 67, 77477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6, 2, 0, -105, -3, 9.\nAnswer: -105, -3, 0, 1, 2, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 49*r - 93. Let k be w(-2). Let u(t) = -t**2 + 11*t + 2. What is u(k)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 1, d: 1, j: 1, f: 1}. What is prob of picking 1 f and 1 c?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -13.5.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-16) + 25\/4. Let b be (15\/h)\/(2\/12). Solve -2*v = b - 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*n - 2*n - 3 = 0, 0 = -f - 3*n - 13. Suppose 0 = -2*h - f*h + 364. What is the highest common divisor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61808*c**2 - 4 + 3 + 1 + 61839*c**2.\nAnswer: 31*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a century in decades?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/3 + -25\/12. Let n be 32\/47*81\/12. Let z = -5119\/940 + n. Calculate the common denominator of z and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77 = n + 2*n + x, 0 = -3*x - 12. What is the greatest common divisor of 72 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 299 times -0.009\nAnswer: -2.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 0*n**6 + 0 - 1\/336*n**8 + 0*n + 0*n**7 + 1\/8*n**4 + 0*n**5 + 0*n**3 + 2*n**2. What is the second derivative of z(i) wrt i?\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47c46 (base 13) to base 12.\nAnswer: -64279","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, e: 1, x: 1, c: 2, b: 10}. What is prob of picking 1 e, 1 b, and 1 c?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17567455 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 47 = 7. Let k(u) = 3 + 2*u**2 - 10*u - 2*u**2 - u**2. Let s be k(o). Solve -s*z - 5 = 2*z, -5*f + z - 19 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -369648.37 + 374997. Let n = j + -5384. Let c = 33.8 + n. Round c to one decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(2500)*6)\/(sqrt(5) - -3*sqrt(180) - -3*sqrt(20)).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2*r = -21, -4*r = 3*s - 0*r + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23515 divided by 4703\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**2 + t + 8. Let v be 7 - 3\/(-7 - -4). Let p be y(v). What is the greatest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620201 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: What is 9398 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9444, -9426, -9382, -9300, -9168?\n\"Answer: 2*o**3 + o**2 + o - 9448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 837787?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**3 + 0*d**3 - d**3 + d + 2*d**3 - d + (-2*d**2 + 0*d**2 + 3*d**2)*(-2*d + 0*d - 4*d).\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -550 - 1627?\nAnswer: -1b77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + i**2. Let k(p) be the first derivative of -2\/3*p**3 + p**2 - 1 + 0*p + 3\/4*p**4. Let m be (2 - 7\/3)*-6. Determine m*f(n) + k(n).\nAnswer: n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*r - 39*r + 6*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -10*l - 39. Let s = 5 + -10. Calculate the least common multiple of 3 and x(s).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 7 - 5 = -5*p, 5*p = 4*m + 28. Let x = 2 + m. Suppose -4*i = -x*i - 32. Solve -3*d + 2*h = -i*d - 10, -4*h = -5*d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 45 and 152257.\nAnswer: 6851565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 5*l**3 - 117*l**2 + 759*l - 847 = 0.\nAnswer: 7\/5, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 2. Find the third derivative of 3*d**v + 2*d**2 - 43 + 43 wrt d.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from yznzcnn.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16564108*r*y - 10786417*r wrt y?\nAnswer: 16564108*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -965 - -957. Which is the nearest to -1? (a) 0.5 (b) i (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddccdddccdcdd. Give prob of sequence dc.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -309*h = -305*h + 5*p - 297641, 2*p = -h + 74411. What are the prime factors of h?\nAnswer: 3, 17, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(132)\/(sqrt(147) - sqrt(3)))\/sqrt(4) + (sqrt(110)*1*6)\/((sqrt(120)\/sqrt(4))\/sqrt(3)))**2.\nAnswer: 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1001011011011011000101 (base 2) to base 11\nAnswer: 1438a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/36, -2\/19, 2\/33?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 4*l - 30. Suppose l = 4*x - x. Suppose -x*o - 4 = -3*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 0*a. Suppose 4 = j - 5*j. Let v(t) = t**2 - t + 11. Let s(h) = 1. Let b(k) = j*v(k) + 6*s(k). Give b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15180 is divided by 3017?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1455, -1454, -1455, -1458, -1463, -1470?\n\"Answer: -u**2 + 4*u - 1458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*h**2 - 7*h + 26*h**2 + 7*h as g + m*h + y*h**2 and give y.\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 2, y: 2, i: 1, e: 1}. Give prob of sequence jj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.04 in 1\/21, -4, -1, 5\/3?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = h - 3*h + 13123, -4*h - 8738 = -2*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/44 and -63\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*a - 14 = 0, -2*a + 0*a - 8 = 0. Let g(l) = -u*l**3 + 8*l**3 - l**2 - 10*l**3 + 3 + 5*l + 3*l**3. Let t be g(-3). Solve r - 3*r + t = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 0.1 (b) 1 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*n + 2*t + 26 = 17*n, -4*t - 12 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -339*i + 307*i - 64 = 0. Which is the closest to i? (a) 1\/8 (b) -9 (c) 2 (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**8*a\/a**(3\/7))**39 assuming a is positive.\nAnswer: a**(2613\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*i**3*q*w + 4*i**3*q - 38*i**3*w**3 + 4*i**2*q*w**3 + 50*i**2*w**2 - q*w**3 wrt i.\nAnswer: 24*q*w + 24*q - 228*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 206566489 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 - -62. Suppose -181*f + 656 = -165*f. Is m greater than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1191377233 divided by -2?\nAnswer: 1191377233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 0 (b) 0.1 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-6)*(0 - 0). Suppose u = -10*p - 225 + 955. List the prime factors of p.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from llgglgglgg.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001321231 (base 4) in base 3?\nAnswer: 111201021112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87622632203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b**4*r - 2*b**3*r + 992*b**3 - 159*b**2*r wrt b.\nAnswer: -24*b*r - 12*r + 5952","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 4*m + 16. Let x be (-6)\/1 - (1 - 4) - -8. Let v be l(x). Let s = v + 9. What is the remainder when 77 is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 894.96 times -0.056?\nAnswer: -50.11776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2711.5 or -15\/4?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/80 and 19\/209 - 3039\/3300.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 2 (b) 18268 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 120386774 and 18355.\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1229*47391\nAnswer: -58243539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96492086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(0*w**3 - w**3 + 2*w**3) + (-w**2 - 2 + 2)*(-37*w - 9*w + 7*w).\nAnswer: 41*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 397*b**2 - 6*b**3 + 9*b**3 + 26*b**3 + 5*b**6 + 2*b**3 + 239*b**2 wrt b.\nAnswer: 600*b**3 + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6374.150548 - 32.01.\nAnswer: 6342.140548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -r + 188. What is the remainder when 2113 is divided by r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_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 f(w) = -3*w**3 + 5 - 1 + 4*w**2 + 5*w**3 - 4*w. Let h(j) be the second derivative of -j**5\/20 - j**4\/4 + j**3\/2 - 3*j**2\/2 - 4*j. What is -3*f(t) - 4*h(t)?\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (25\/(-15))\/((-20)\/72). Let f(v) = s + 63*v + 1 - 2 + 6. Is f(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9229784?\nAnswer: 2, 101, 11423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - b = 17581 + 14889, -h + 3*b - 6494 = 0. Let u = h + 9565. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -25 in -10, -0.5, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l\/(l\/l**(1\/6)))\/l)\/l**(-9)*(l**0)**(6\/7))\/(((l*(l\/(l*l\/l**2*l))\/l*l)\/l)**(1\/72)\/((l**(-6\/11)*l*l)\/(l**(3\/2)\/l))) assuming l is positive.\nAnswer: l**(334\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3)*w*w\/((w\/(((w*w**(-14)\/w)\/w)\/w))\/w))\/(w*w\/(w\/(w**(-2)*w)))**(-8\/7))**44 assuming w is positive.\nAnswer: w**(-1936\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2592 = -20756*s + 20864*s for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(162)*-1)**2.\nAnswer: -18*sqrt(2) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17678663.\nAnswer: 17678663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 17. Let b = 870 - 845. Let u be o(b). Solve -3*r = -5*y - 4, 0*y = 3*r + y + u for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*p = -25, 4*j + p + 5 = 8*j. Suppose -2*h - 2*h = j. Let o = h + 10. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 10}. Give prob of sequence ii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83554.41421 + 83554. What is p rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 6, s: 7}. Give prob of sequence slls.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -53555788 divided by -52\nAnswer: 1029919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 392011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 2. Let t be m(-4). Suppose -7*j = -t*j - 20. Let n be (-4)\/(-8) - 2\/(-4). Solve -j = l - n for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1295923 is divided by 217.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -68*r**2 + 2*r - 2. Let o(s) = 5168*s**2 - 153*s + 153. Calculate -153*i(p) - 2*o(p).\nAnswer: 68*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5561 and 20569?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2365 is divided by 1097.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 12 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1515, 1517, 1519, 1521, 1523?\nAnswer: 1525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 4*z**2 + 4. Let f be c(4). Let r be (3\/(-36))\/(f\/8). Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 11:50 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -3 + (-12)\/(-5) + (-10862)\/15. Let a = h + 722. Let c = -439\/240 + a. Calculate the common denominator of 31\/54 and c.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 299*n**2 + 70*n**2 - 187*n**3 - 13*n**2 - 198*n**3 + 36*n**2 wrt n?\nAnswer: -2310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -383, -755, -1113, -1451, -1763, -2043, -2285, -2483?\n\"Answer: r**3 + r**2 - 382*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2. Let j(x) = -x**2 + 7. Let y be (2 + -1)\/1*1. Let w(d) = 22*d**3 - 2*d + 1. Let k be w(y). Suppose 4*t - t + k = 0. Determine t*p(u) + 2*j(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15816 <= 63261\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 5*m)*(6 + 5 - 6).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 128824*m**4 - 3*m**3 - 3*m**2 + 48454748*m?\nAnswer: 1545888*m**2 - 18*m - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*10 - 0\/5. Suppose -p - 5*v = -c - 21, 4*p - 4*v - 100 = 0. Calculate the remainder when ((-5)\/(-1) - -96)*1 is divided by p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1296604 and -0.154.\nAnswer: 0.0199677016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*n - 1. Let j(x) = -2*x**2 - 24*x + 3. Let l be j(-12). Let z be (-3*((-4)\/12)\/n)\/l. What is the third smallest value in 0.2, 8, 0, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*(w\/w**(4\/3)*w)\/w*(w\/(w*(w\/(w\/w**(-35)*w))\/w*w))\/w)**(-37) assuming w is positive.\nAnswer: w**(-3959\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 - z**2. Let k(u) = 5*u**4 - 5*u**3. Let q(d) = -22*d - 85. Let b be q(-4). Let p(i) = b*k(i) - 6*v(i). Determine n, given that p(n) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3041, -3024, -3007, -2990, -2973, -2956?\nAnswer: -2939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 10*a**2 + 5*a + 9. Let q(j) = 66*j. Calculate i(q(k)).\nAnswer: 43560*k**2 + 330*k + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(b**3 + b**3 + 2*b**3).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 7*o**2 - 8*o + 14. Let a be j(6). Let c be (21\/(-1))\/(-3) + -2. Differentiate -a*y + y - c - y with respect to y.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**2 + 303*v = 0.\nAnswer: 0, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2962136809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -201 - -1409\/7. Let b = -4 + 3.1. Let f = 1 + b. What is the closest to u in 2, -2\/25, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 - 8. Suppose -9*l + 12 = -z*l. Differentiate y - 7 + l + y + 0*y wrt y.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 3:18 PM?\nAnswer: 7:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the third derivative of c**8\/112 + 17*c**6\/120 - 39*c**5\/20 + 10*c**2 + 5. What is the third derivative of b(w) wrt w?\nAnswer: 180*w**2 + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 5 - 5 - 3*z + (8*z - 2*z + 7*z)*(3*z**2 + 0*z**2 + 0*z**2))*((-14 + 14 + 4*z**2)*(0 - 3 + 2) + 2 - 2 - 2*z**2).\nAnswer: -222*z**5 + 18*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55 = -10*s - s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -18*o + 19*o - 65, 2*a - 95 = 5*o. Calculate the least common multiple of a and 90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -283.\nAnswer: 5\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -59, -1\/9 in increasing order.\nAnswer: -59, -1\/9, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {j: 3, l: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/39 - 3487024\/(-104) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 74*x + 269. Determine r(-39).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeeebbejeaej. Give prob of picking 1 a and 1 b.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/693 and 67\/1485?\nAnswer: 10395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of 31*t**4\/4 + t**3\/6 + 20*t. What is the tens digit of v(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/7*45\/(-75)*14504\/(-148)?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2, -38, 8\/7, 839, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:48 PM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nwfbwhhnfbhbn. Give prob of picking 2 f.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/5)\/(2\/83) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + (sqrt(7) - sqrt(63))))**2*-5 + 4 + sqrt(112) + ((sqrt(28) + 1)*-2 - sqrt(28))**2.\nAnswer: 28*sqrt(7) + 120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3795 times -0.2\nAnswer: 759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((l**6*l)\/l)))\/(l\/((l*l**2*l)\/l)*l))\/(l**(2\/23)*l*l*l\/l**(-2\/5)) assuming l is positive.\nAnswer: l**(404\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/5, -0.4, -12\/65, 1, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.113, 1\/4 in increasing order.\nAnswer: -0.113, 1\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38380*f**3 - 2*f**2 + 3*f - 360.\nAnswer: -230280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18*w**3 - w**3 + 100 + 5*w**3 + 3*w**3 wrt w?\nAnswer: 75*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-4)*(-4)\/(-9). What is the biggest value in -2\/11, u, 3\/17?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -33400 to the nearest 1000.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 z when two letters picked without replacement from zlzlzlzlllllzzzllzzz?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34 + -52. Let t = -18 - r. Let u = 14 + -18. Which is the third biggest value? (a) t (b) -1\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27957 - 27953. Let w(d) = -d**2 - 1. Let l(t) = -t**3 + 4*t**2 + t + 4. Determine y*w(r) + l(r).\nAnswer: -r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 10000001111100111110001 (base 2) to base 16\nAnswer: 40f9f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - n + 2*n - 1 + (-8 + 3 - 2)*(12 + 33*n - 12) to t*n + o and give t.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4*y - 170576 = 0, 12 - 15 = -y. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -36010 - 273?\nAnswer: -36283","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lxpppppppppppp. Give prob of picking 1 x and 1 l.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + (8 - (-9)\/(-3)). Put a, 4, -1 in decreasing order.\nAnswer: a, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 867922?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = -3*f - t, -8*t + 11*t = -3*f - 36 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 3\/8, -2338\/3, -5, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 18*b + 2. Let x be m(-18). Suppose 0 = 8*g + x*g - 80. Solve -5*w = -w + g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 9*p**2 + 1. Give r(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5, 3*b + y = 5*y - 5. Let g(t) = -9*t - 11. Let w be g(-2). Find the second derivative of 6*k + w*k - 3*k**2 - b*k**2 - 4*k wrt k.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of -1 - 1 - (11 + 1271)\/(-2) and 994?\nAnswer: 8946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 142*s**3 - 45*s**2?\nAnswer: 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 - 16 + 31 + 57*l**2 in the form g + n*l + z*l**2 and give z.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -903 = -4*h - b + 461, 0 = 5*b - 20. Suppose -9*j + h = -8*j. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00005883641 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -924, -1864, -2804, -3744?\n\"Answer: -940*y + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1678768*y + 6435 = -1678911*y for y.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -111*d + 0 - d**4 + 0*d**3 + 0*d**2 + 1\/4*d**5 + 1\/60*d**6. Factor h(q).\nAnswer: q**2*(q - 2)*(q + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4592985 - 31.\nAnswer: -4593016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 904263708 + 0.2?\nAnswer: 904263708.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 120650 rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -14831565 greater than -14831566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 125 + -121. Suppose -5*f + u*f = 4*s + 83, 29 = -s - 3*f. Let z = 25 + s. Solve 0 = -z*h - 20 + 5 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 1, i: 2, o: 1, s: 1, x: 2}. What is prob of sequence sl?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -0.3 (b) 1\/4 (c) -15 (d) 2\/5 (e) 20 (f) -150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.4074871 to two decimal places.\nAnswer: -6.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1390827 is divided by 1595?\nAnswer: 1582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112.29 + -2.29. Let y = 13814.307 + -13704.4. Let h = y - m. What is h rounded to two dps?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3562 and 8.\nAnswer: 14248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t. Let q(g) = -1322*g**2 - 3955*g. Give q(c(f)).\nAnswer: -5288*f**2 - 7910*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12 = r - b, -8 = -2*r - b. Solve -5*j + c = -r, -4*j - 20 = -0*j + 4*c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*k**3 + 0*k + 2\/9*k**4 - 2\/9*k**2.\nAnswer: 2*k**2*(k - 1)*(k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7))**6 assuming u is positive.\nAnswer: u**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 49968 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -1. Let c = a + -8.999999. What is c rounded to six dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 - 621*t - 138857. Give j(461).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -132204424 (base 5) in base 3?\nAnswer: -1020200121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 19. Suppose -5*u + 9 = -3*x - 2*u, -z*x = -4*u + 14. Let k = 2 + x. Solve k = m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6041100 rounded to the nearest 100000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -14*u**2 - 4*u - 4. Let k be d(12). Let s(f) = -24*f**3 + 12*f + 45. Let w be s(-5). Let j = k + w. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/68)\/((-25445)\/185385)?\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -61*l - 1. Let y be n(-2). Suppose -6*h - 3*o + 171 = -2*h, 4*h = 5*o + 195. What is the remainder when h is divided by 3\/(-15) + y\/5?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(130)\/(sqrt(90)\/(sqrt(9)*-1)).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10318 - 10318.2. Which is the smallest value? (a) 5 (b) j (c) 2\/219\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 37133, 37154, 37181, 37208, 37229, 37238, 37229, 37196?\n\"Answer: -c**3 + 9*c**2 + c + 37124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 - 146088*c**2 + 790610*c wrt c?\nAnswer: -20*c**3 - 292176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 + 10*q + 11. Suppose -10 = -29*j + 19. Let w be (-2)\/8*j - (-341)\/(-44). Determine y(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253884747 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 1:22 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 4*v + 3. Let i be n(-4). Suppose u = -2*u - 4*q - 40, -3*q - 52 = 5*u. Let k = u + 8. Put -4, i, k in decreasing order.\nAnswer: i, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108 is divided by 68?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0\/1)\/(-1 + -1). Suppose 8*q + 5*b + 25 = 3*q, i = -q + 3*b + 15. Suppose 2*y - 8 = -q*y, -71 = -5*x + y. What are the prime factors of x?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**5 - 5*w**4 + 14*w**3 + 82*w. Let t(y) = -y**5 - y**4 + y. Let c(q) = j(q) - 5*t(q). What is the second derivative of c(o) wrt o?\nAnswer: 20*o**3 + 84*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 2:42 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 7*z**3 - z - 10. Let r(h) = -20*h**3 + 3*h + 29. What is -6*r(j) - 17*w(j)?\nAnswer: j**3 - j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1580?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 672*h = -676*h + 118, 108 = -5*j - h for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9.58 (b) 0.5 (c) -2 (d) -13\/2 (e) 1\/10 (f) -7 (g) 13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/4, -2\/9, -0.273, 0, 747?\nAnswer: 747","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2858690.99 - -2836464. Let k = -22107 - b. Let m = k - 120. What is m rounded to 3 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2737057570 to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100.0389 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15820 = 7*b + 7*b. Suppose -1132*h = -b*h - 160. What is the highest common divisor of 200 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 22*d**2. Let l(n) = 55853*n. What is l(f(m))?\nAnswer: 1228766*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2 - a + 5 - 6 - 7*a. Calculate d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/13)\/m*m*m)\/(m\/(m*m*m*m**7)))\/(m*m\/m**1)**(-47)*(m**(-5)\/(m**(2\/15)\/m))**29 assuming m is positive.\nAnswer: m**(-12034\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34053454*d + 41984871 wrt d?\nAnswer: 34053454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 43*w**2 - 258*w - 6. Calculate f(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/2 + 2)*-2. Let b(l) = -l + 2*l - a*l**2 + 3*l - 5*l. Suppose -r - 2*n = 7, 2*r - 8*n + 3*n - 22 = 0. Give b(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21341 = 18*d + 6959. What are the prime factors of d?\nAnswer: 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(2\/9))**(-2\/53))**5)**(-45))**(2\/23) assuming c is positive.\nAnswer: c**(200\/1219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -193, 7, 2 in increasing order.\nAnswer: -193, -13, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23.35 + 24. Let g = -0.5 + t. Let d = g + -0.2. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, w: 1, t: 1, c: 2}. Give prob of sequence ccqw.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -10*f**3 - 26*f**2 + 52*f - 13. Let p(q) = 10*q**3 + 26*q**2 - 52*q + 14. Let h(k) = -3*p(k) - 2*y(k). Factor h(c).\nAnswer: -2*(c - 1)*(c + 4)*(5*c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -2\/15461589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/15 in 0.1, 0.4, -44, 6\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35809 - 138101 = -17*j. Is 30 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbb. What is prob of sequence bbbb?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 2103960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = 11*u + 7 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r + 46*r**2 + 50*r - r + 5*r + 10*r.\nAnswer: 46*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -103484, -413952, -931396, -1655816, -2587212, -3725584, -5070932?\nAnswer: -6623256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-12 - -1)*-1. Solve 2*x = q - 4 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -453 and -12?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:30 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43465182?\nAnswer: 2, 3, 59, 199, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -7*j**2 - 4*j. Let d(p) = 11*p + 1436*p**2 - 2834*p**2 + 1419*p**2. Calculate -3*d(v) - 8*g(v).\nAnswer: -7*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 - 2)*(-a**4 + 5*a**4 - 3*a**4).\nAnswer: -7*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 8\/7, -1\/6, -8, -3, -5, 5 in ascending order.\nAnswer: -8, -5, -3, -1\/6, 8\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 0*p**2 + 0*p**2 + (-1 + 3 - 4)*(5*p**2 - 39*p**2 - 52*p**2) - 2 - 2*p**2 + 2 - 4*p**2 - p**2 + 6*p**2 + (-2*p - 3 + 3)*(-p + 4*p - 2*p).\nAnswer: 170*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 43207424 a multiple of 1664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -16*o**5\/13 - 12*o**4\/13 + 6*o**3\/13 + 2*o**2\/13 = 0.\nAnswer: -1, -1\/4, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16686 and 586276?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 9, e: 7}. What is prob of sequence eeb?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.128 and 6282387770.\nAnswer: 6282387769.872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 2*t - 5*t)*(7758*t + 1485*t - 8055 + 4045 + 4010) in the form x + c*t + h*t**2 and give h.\nAnswer: -18486","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 104 = -3*k - 31, -2*z = -4*k - 156. Let g(u) = -19*u. Let r be g(-3). Let m = r + k. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17918573?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 - 6*n**2 + 8*n + 4. Let s be (-37)\/7 + 14\/49. Let u be d(s). Suppose -u = -2*l + 64. What is the highest common factor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11088 divided by -2772?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1.13. Let b = 0.12989 - r. Round b to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -a*c + 207*a*n**2 + 2*c*n**2 + 46340*c*n + 363*n**2 wrt c.\nAnswer: -a + 2*n**2 + 46340*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*t + 26*t - 44*t + 5*y - 48 = 0, 5*t + 25 = 2*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.112 to one decimal place.\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**3 - 4*z**2 - 4 - 10*z**2 + 4*z + 14*z**2 as w + a*z + y*z**2 + c*z**3 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 2339*f + 27924.\nAnswer: (f - 2327)*(f - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -1) + -6 - (-5 + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 13 - 22 = -5*n, -2*y + 4*n = 0. What is the remainder when (-2 - -8)*y\/4 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7589, -15171, -22753, -30335?\n\"Answer: -7582*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 17*l + 16. Does 12 divide z(-11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 583292, 2333196, 5249702, 9332810, 14582520, 20998832?\n\"Answer: 583301*q**2 + q - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 140386734?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {j: 6, f: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 1 - ((-120)\/8 - -15). Suppose -2*f - n*p + 4 = -0*p, 3*f - p = -1. Solve -8*q + 4*q = f for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/56636 and -23\/16?\nAnswer: 226544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 18, -2, -6, 3, -24 in ascending order.\nAnswer: -24, -6, -2, 3, 16, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 630\/(-441) - (-10)\/7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -758? (a) -5\/2 (b) 3 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 d when four letters picked without replacement from ccgdgcdgccggcccd.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5.5 and 0.05292?\nAnswer: 0.29106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 + -0.08. Let k = 0.21 + v. Let x = 4 + -4.4. What is the third smallest value in -3\/2, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 3 - ((-1)\/(-6))\/(162\/(-11340)). Let s = -5 + 18. Let w = -8 + s. Which is the third smallest value? (a) g (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40120 + 4?\nAnswer: -40111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 6*((0 + 1 + sqrt(208))*-2 - (sqrt(208) + 3*sqrt(208)*1 + -4))*-6)**2.\nAnswer: -124416*sqrt(13) + 9709632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 170220 and 12?\nAnswer: 170220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9184043?\nAnswer: 11, 834913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199665481?\nAnswer: 7, 79, 44273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*g - g. Let u = 91 - 89. What is the biggest value in u, 0.2, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of s**4\/4 + 2*s**3 + s**2\/2 - 3. Suppose 30 = -3*o + 3*i, 5*o = 2*o + 2*i - 25. Let w be g(o). Solve 0 = 6*z - z - w for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -198 - -268?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = u + o + 10, 2*u = -4*o. Let x = 0.521 + -0.021. Sort x, 2, u in ascending order.\nAnswer: x, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 - 2*y**2 + 3*y - 3. Let w be t(2). Suppose -10 = 4*h - w*h. Let g = -6 - h. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 32*f - 148. Suppose 354 = 5*y + 124. Calculate the least common multiple of o(5) and y.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1634000392?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 s, and 1 p when four letters picked without replacement from {m: 5, p: 4, s: 8}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2*w**2 - 2*w)*(0 - 4 + 2).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 284283, -5, 4, -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 327342 + 2*o + o + 138193 - o - 4*o.\nAnswer: -2*o + 465535","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + (3 - (-4*730 - 1)). Suppose 14 + w = 9*y. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905, -888, -855, -800, -717, -600?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)\/(sqrt(35)\/(sqrt(14)\/sqrt(2))) + -5*sqrt(1900)*2 + -5)*3.\nAnswer: -297*sqrt(19) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4234.9, 5, -4, -1 in decreasing order.\nAnswer: 4234.9, 5, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 33, 90, 13.4 in ascending order.\nAnswer: -24, 13.4, 33, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 8*s**2 + 10*s - 12. What is l(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 307025083?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 1 = 2. Let y be (-44)\/(-36) + 2\/(-9). What is the remainder when w is divided by -3*(-1)\/3*y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 48 = -252. Suppose -11*i + 59 + s = 0. Let x be -1 + 70\/75 + 4\/i. Put x, 0.5, -2, 23 in decreasing order.\nAnswer: 23, 0.5, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 987912\nAnswer: -2963736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 2*g + 3*y, g = 3*y - 0*y + 109. Let t = 91 - g. What are the prime factors of -4 - ((-545)\/4 + (-3)\/t)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-995 + (1 - -6))\/(-2). Calculate the highest common divisor of b and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1450)\/870 + (-334)\/(-6) + -5?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 11015 - 12929 = 0. Let g = 1590 - x. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhoi. Give prob of picking 1 h and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 22, 37, 52?\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(132\/30)*4\/(-5)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17047912 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmsmmmsmmmsmmssmsm. What is prob of picking 3 m and 1 s?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w**2 - w + 1. Let x(q) be the third derivative of -q**7\/2520 - q**4\/12 - q**2. Let c(t) be the second derivative of x(t). Give 2*c(i) + y(i).\nAnswer: i**2 - i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121232 (base 5) to base 12.\nAnswer: -2787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/18*(-117)\/6 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = -14*w + 11 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of -z**6\/120 - 2*z**5\/15 - 5*z**4\/12 - 3*z**3\/2 + 24*z**2. Calculate f(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 smaller than 5671\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14068*n - 708417 + 2427759 = -2641*n + 1032*n for n.\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 13, j: 5}. Give prob of sequence aaaa.\nAnswer: 143\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -26*x + 7. Let d(j) = -105*j + 28. Determine -6*d(w) + 26*g(w).\nAnswer: -46*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z + 3. Let v(b) be the third derivative of -b**5\/60 + 2*b**2 + 4*b. Determine v(y(x)).\nAnswer: -64*x**2 + 48*x - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 499367.2 litres in millilitres?\nAnswer: 499367200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*n + 145, 0*n = 4*h - 3*n - 116. Suppose -s + h = -6. Suppose 2*p - 7*p - s = 0. What is the third biggest value in 2, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 13 - 13 = 2*s, 0 = -v + 2*s - 1. Factor 2*j**3 + j**4 + 3*j**2 - 14*j**3 + v*j**3 - j.\nAnswer: j*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10250?\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3 + 6*d**2 + d**3 + 0*d**2 - 22*d**2 + 24*d = 0. What is d?\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1094\/1094*2\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 48056200 rounded to the nearest one hundred thousand?\nAnswer: 48100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3070 and 244955.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (56\/(-42))\/((-1)\/(-3)). Is (278 - v\/1)\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = -67*j - 1152. Let q be j\/8*(-4)\/(-6). Let v(m) be the third derivative of m**4\/8 + m**3\/6 - m**2. Determine v(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 722 + -721.5. Which is the closest to -0.3? (a) 27 (b) -0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q - 10. What is the tens digit of p(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(495))\/(sqrt(10)\/sqrt(2)*-2))**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*d - 2*w - 15, -3*w - 9 = -3*d. Solve d*b - 4*b - 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*x. Suppose x = f - 21 - 3. Suppose 20 = 5*d + 4*p, 16 = -2*d + 6*d + 5*p. Calculate the highest common factor of d and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-14)*4 + (-143712)\/(-224). Let j = r + -639. Solve -5*b + 4*w = j*w - 18, -4*b + 2*w = -16 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from rrzrarrararzzrraattr.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1524)\/2 - (-2 + 6)\/(-2). Let q be 7\/((-14)\/k) + 2. What is q rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 1, p: 1, o: 1, y: 2, a: 1}. Give prob of sequence ouv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.985 - -18. Let v = -0.428 - -0.483. Let r = v - o. Round r to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -44*k - 29. Let c be i(-9). Let w = c + 737. What are the prime factors of w?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -7*j**3 - 3*j**2 + 3. Suppose 0 = -5*w + 4*w - 3. Let c(p) = 76*p**3 + 32*p**2 - 32. Calculate w*c(u) - 32*z(u).\nAnswer: -4*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 5 = 0, -3*h + 2586 - 1288 - 1273 = 5*r - 7*h for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 178756 to the power of 1\/2, to the nearest integer?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.1273 to zero decimal places.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2951472.\nAnswer: 2, 3, 17, 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1839*i - 916*i - 887*i.\nAnswer: 36*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 23753 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1350 * -3\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 47169, 5, 3, -6 in increasing order.\nAnswer: -6, 3, 5, 47169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xfp when three letters picked without replacement from xaprf.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.00297 and -0.2.\nAnswer: -0.19703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-7\/2))\/(d\/d**0))**9\/((d\/(d**(-6)*d)*(((d\/d**(-5\/3))\/d)\/d)\/d)\/(d**(2\/7)\/(d*d**(3\/5)\/d))) assuming d is positive.\nAnswer: d**(-7871\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -2. Let n = -1807 - -1839. Suppose -4*y = -a*q + 31, -4*q - 3*y = -9*q + n. Solve -f - q = -2 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*i = -4*l - 131, 3*l + 4*i - 385 = 0. Let m = 132 - l. Solve -f - 1 = -m for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1824139 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 p when three letters picked without replacement from pptipmlildlp.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -17. Suppose -5*j + 10 = -5*v, 15 = 5*v - 0*v. Suppose i + 11 = w*q - 43, -20 = j*i. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -128*y**2 - 602 - 4*y**3 + 188 + 207 - 2*y - y**3 + 208 in the form r + b*y**3 + o*y**2 + p*y and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/30 and -51\/45102682?\nAnswer: 676540230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 2\/1047133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 - 5.69. Let k = -6 - a. Put k, 2, -1\/3 in increasing order.\nAnswer: -1\/3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -3*o**3 - 4*o**2 + 1. Let h be z(-1). Suppose -3*d + 1156 + 893 = h. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-3 + 0 - 0). Let s be 1*-2*a\/(-4). Let f be 5 + -3 + (4 - s). Sort f, -3, -4 in ascending order.\nAnswer: -4, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154241413 + 1.6?\nAnswer: 154241414.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 22 (c) 0.1 (d) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 6*h**2 - 5*h - 7. Suppose 9 - 4 = 5*b. Suppose b + 4 = -m. Determine i(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -42 - 557?\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = 3*j - 2 - 29, -4*j = -8. Let x(y) = 3*y + 3*y + 5*y - b*y. Let w(t) = 2*t. Determine w(x(d)).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1078, -0.01, -669 in decreasing order.\nAnswer: 1078, -0.01, -4, -669","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51905 and 50565851.\nAnswer: 252829255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - ((5 - 0) + -3). Let k be ((-1)\/(-2))\/(w\/106). Let n = 102 + k. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/42 - -1\/14. Sort -4, 6\/5, f in increasing order.\nAnswer: -4, f, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-4)\/((-12)\/(-219)). Suppose 3*y + 21 - a = 0. Suppose 27*w - 28*w + 6 = 0. Calculate the greatest common divisor of w and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14c - 2b?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140068.\nAnswer: 2, 19, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 262581 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1403 divide 14427397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7174606.\nAnswer: 2, 3587303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/20)\/((-3)\/4). What is the nearest to 1\/3 in p, -2\/7, 2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 1 - 1 + 561624*q + 129254*q.\nAnswer: 690878*q + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*h = -0 + 23, -4*h - 12 = 2*f. Suppose 3*b = -4*u + 5*b - 132, b + 132 = -f*u. Let w = 55 + u. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let f(w) = -w**4 + 4*w. Let q(y) = f(y) + 6*z(y). Find the second derivative of q(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 3*d**6\/10 + d**5\/10 - d**4\/4 + 1013*d**3\/3 - 4969*d. Find the second derivative of v(r) wrt r.\nAnswer: 108*r**2 + 12*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-20))\/((18\/3)\/(-30))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2135 and 732?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of c**2 - 2*c + 4. Let d(m) = -5*m**2 - 2*m - 1. Let b be d(-1). Calculate p(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + (-6 - -3) + 0. Let k(c) = -2*c**3 - 3*c**2 - 6*c - 7. Let p be k(s). Suppose 2*y = p - 70. Does 16 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 234847272 greater than 1643930912\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67695107*k**4 - 131378520*k**2 wrt k.\nAnswer: -1624682568*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w - 8. Suppose 2*j + w = -2. Let g = j + 8\/3. Is 1 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 212, 3\/4, -4 in decreasing order.\nAnswer: 212, 3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (-48 - -30) + 3 + 9.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 46, 64, 88, 118, 154, 196?\n\"Answer: 3*s**2 + 3*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 14 = -6. Calculate the highest common divisor of 20 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104*l + 16201 - 16513 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 13426?\nAnswer: -13425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**2 + 2830*m + 2835 = 0.\nAnswer: -1, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -3\/6244?\nAnswer: -3\/6244","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4c86 (base 14) to base 9.\nAnswer: -20400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3)*1266\/844)\/(7\/(-8))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 921808?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22457610 and 4812345.\nAnswer: 67372830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w - 3*w - 9*w - 6*w - 5*w.\nAnswer: -15*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 21\/5, 23, -11?\nAnswer: 21\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100101110001111 - -10?\nAnswer: -10100101110001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1977326.\nAnswer: 2, 13, 59, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16927.\nAnswer: 16927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 3*x = p - 20, 4*x = -p + 25. Solve 10*w = p*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -25*b + 546. Let v(l) = -13*l + 284. Let f(r) = -5*j(r) + 9*v(r). Give f(22).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -495e (base 15) to base 10.\nAnswer: -15614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 + 1. Let s(f) = 48*f**2 - 32. Suppose 0 = -11*l - 103 + 92. Give l*s(x) - 32*k(x).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 595*q**5 + 0*q**2 - 9*q**6 + 9*q + 273*q - 8*q**6 - q**2 + 19*q**6 wrt q?\nAnswer: 240*q**3 + 35700*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*p**3*q - 4*p*q + 265*q - 4 wrt p?\nAnswer: -111*p**2*q - 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(196)*-2 + sqrt(196))\/(sqrt(49)\/sqrt(7)*-2).\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -9*x - 24. Let b be u(-6). What is the second derivative of 2*g**3 - 26 + b*g**3 + 28 + 5*g wrt g?\nAnswer: 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -18. Suppose 2*o = -5*t + 2641, -o - 10 = i*o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 5 + 7. Let l = 18 - w. Solve -3*a - l = 2*n, -4*a - 15 = -2*n - 1 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -290 + 101. Let k = 257 + g. Suppose -3*x + 34 = 2*s + x, 2*s + x = 19. What is the remainder when k is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(931) + (-2*sqrt(931))**2 + 1.\nAnswer: 7*sqrt(19) + 3725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1901 by -4.\nAnswer: -1901\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 15 = 1. Let s(p) = -9. Let n(t) = -16. Let x(f) = c*n(f) + 7*s(f). Let o(i) = i - 4. What is -o(r) + 3*x(r)?\nAnswer: -r + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 552283*y**2 - 7572387.\nAnswer: 1104566*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 1}. What is prob of sequence rt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 70785 a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from {d: 1, w: 3, m: 5, u: 1, c: 1, q: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yggggggggyyygg. What is prob of sequence gy?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 62*f**3*p + f**2*p - 2*f*p - 768*p wrt f.\nAnswer: 372*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.4 (b) -0.2 (c) 4\/7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 259*a + 35*a**5 - 262*a**5 + 72*a + 62*a wrt a?\nAnswer: -4540*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/46 and 95\/2760372.\nAnswer: 63488556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 33*h - 2. Determine m(-6).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.283279us to minutes.\nAnswer: 0.00000023805465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**3\/6 + 45*i**2\/2 + 12*i. Let g(j) = 22. Let q(p) = 10*g(p) - 4*k(p). Let h be q(-9). Put -4, h, -3 in ascending order.\nAnswer: -4, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*a = -94*a + 28119. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o**2\/9 - 77752*o\/9 + 155456\/3 = 0. Calculate o.\nAnswer: 6, 19432","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 186, 191, 200, 213?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 + (-5 - -21 - -18) + -19 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26243 is divided by 1192.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 34191430 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 105111 or 105118?\nAnswer: 105118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(21)\/(sqrt(56)\/sqrt(8)).\nAnswer: -4 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 336 and 10032?\nAnswer: 70224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 89648 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 100 + 328*t**3 - 333*t**3.\nAnswer: -5*t**3 - 79","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2417, 18617, 62511, 147947, 288773, 498837, 791987, 1182071?\n\"Answer: 2308*n**3 - n**2 + 47*n + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - -15.99999856. Round i to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 5. Suppose 3*c**2 + 0*c - 4 + 4 - v*c - 6 = 0. Calculate c.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 7993.669 years?\nAnswer: 7.993669","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -486\/1247 (b) 8 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 - 2)\/145 + ((-1)\/(-4) - (-1293)\/60).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 117336120 by 8.\nAnswer: 14667015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -22 - (67 - (70 + 7)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44 + -3. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30732951 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 774704\/64*8\/(-1)*(-7)\/14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + 188*u**3 - 187*u**3 + u + 1 - 4*u**4 - 4*u**2 in the form v*u + z*u**2 + k*u**3 + t*u**4 + p and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51\/119*-7*(-14)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a - 105 + 97 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(48\/(-9))\/4. Let c = 9 + p. Let a(z) = -z - 6. Let t(n) = -4*n - 19. Let l(v) = -7*a(v) + 2*t(v). Calculate l(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5 = 29. Calculate the remainder when 11 is divided by z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 604552*b**3*s**3 - 2*b**3*s + 5*b**2 + 104*b*s + 11*b + s wrt s?\nAnswer: 3627312*b**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -29.5. Which is the fourth smallest value? (a) 2\/7 (b) -2\/3 (c) 2\/15 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2446*a**4 + 1191?\nAnswer: 9784*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2021 (base 3) to base 14.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4826?\nAnswer: 2, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 740402, 0.5, 3\/7, -4, -1\/5 in ascending order.\nAnswer: -4, -1\/5, 3\/7, 0.5, 740402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -6, 1, 11, -18 in descending order.\nAnswer: 11, 1, -5, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 0*d + 23 - 1 - 2*d - 25. Calculate j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = -r + 12, -2*u - 4*r + 20 = -7*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 296112 divided by 6.\nAnswer: 49352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/4114 and -6\/428111.\nAnswer: 103602862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*n**2 + 2*n**2 + 12*n**2 - 9*n**2 + 2137*n**3)*(-1 + n + 1) to the form h*n**3 + w + z*n**2 + b*n**4 + p*n and give b.\nAnswer: 2137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 3 = -11*m. Solve -13 = 2*a + 5*v, -3 = 4*v - m*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 28. Let d be o(-5). Find the second derivative of 4935*n**4 + 7 - n**3 - d*n**5 - 4935*n**4 - 5*n wrt n.\nAnswer: -60*n**3 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-96)\/(-44) + 2\/(-11). Let k be (-20)\/(-6) - (-2)\/3. Suppose 0 = -q + 4*i - 1, f = -k*q + 5*i + 9. Put q, 5, 0 in ascending order.\nAnswer: 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 51, 4, -0.033, 40 in descending order.\nAnswer: 51, 40, 4, 1, -0.033","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 = 8026\/419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -750380.521 - -0.3?\nAnswer: -750380.221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1020321122 (base 4) in base 13?\nAnswer: a5ba2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(104\/(-28) + 4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 309*d - 341. What is i(1)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-233949)\/18 - (-9)\/54. Is l\/(-5) - 106\/265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - 272 - 7*o + 2*o)*(-4*o**2 - 2*o**4 + 4*o**2).\nAnswer: -4*o**5 + 544*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 515, 4, 2 in ascending order.\nAnswer: 2, 4, 515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*m - 2*m - m**4 + (9 - 3*m**4 - 9)*(-3 - 1 + 1).\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -230 + 8?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1054 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1 (c) 5\/31 (d) 7 (e) 57\/5 (f) 4 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48791 is divided by 173.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 53 - 34638?\nAnswer: -34585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3 + (2 - 5 + 1)*(1 - 5 + 2))*(0*o - 4*o + 3*o)*(-1372 - 682 + 831) as g*o + t and give g.\nAnswer: 6115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 41. Let q(j) = -j**2 + 7*j - 3. Let o be q(0). Let m be 1\/2*-10 - -1. Sort m, f, o in ascending order.\nAnswer: m, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 + -17.4. Let i = x - 2.4. Let w = i - -0.7999906. Round w to 6 decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/11 (b) 0.5 (c) 52\/7 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2151*d + 46422 - 167158 - 178253 for d.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 + 0.44. Let n be 3 + 23\/(-8) + 2307\/(-24). Let q be 8\/(-6) + (-152)\/n. What is the nearest to l in 2\/3, q, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (13\/(325\/(-25)))\/3. Which is the closest to 1? (a) 5 (b) 13 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -144, -3?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(((-3824)\/(-8604))\/((-1)\/2 + 2\/(-12)))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - 2 - (46 + -45) - -6?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 0 = -5*r. What is the third derivative of 2*x**r + 0*x**2 + 3*x**6 + 0*x**2 wrt x?\nAnswer: 360*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2182 divide 1012646980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000081474114 to 6 dps.\nAnswer: 0.000081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/3, 0.5, -18786 in descending order.\nAnswer: 4, 2\/3, 0.5, -18786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010781828 to five decimal places.\nAnswer: 0.01078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4758 divided by 1.\nAnswer: 4758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -95966 and -97891 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/75 of a minute in milliseconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 898 is divided by 374.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8521 - 8494.705. Let k = -0.105 - u. Let m = k - -19. Round m to the nearest integer.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 10 + 2)*(-2 + 2 + 2*i) - i + 2 - 2 - 25*i + 1 - 3 + 9*i)*(-9 - 7 + 6).\nAnswer: 70*i + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 272500?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 7*s - 7. Let x be l(-4). Let o = -38 - x. What is the closest to 1\/4 in 3, o, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4752)*-2 - sqrt(33))\/(3*sqrt(44)).\nAnswer: -25*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13814 divided by -1?\nAnswer: -13814","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27.3 - -26.9. What is the nearest to 0 in -0.03, p, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 - 147*v**2 - 1020*v - 1929. Give c(-66).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 66 = 2*i, -126*i + 125*i = -2*h - 30. Solve t + 12 = 5*a + i, -t - a = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144704 a multiple of 238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r + 15. Let p be u(-11). Suppose 3*y - 4*a - 6 = 0, y - p*a - 4 = -3*y. Is 13 a factor of 39\/(y\/6 + (-13)\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m**2\/7 + 127616*m\/7 + 2170628\/7 = 0 for m.\nAnswer: -17, 31921","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40 - ((-1)\/(-4) + 143\/52)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 8 = 2*p - 0*p, 3*p = 3*h + 9. Suppose 0*i = h*i - 238. Suppose -v - 119 = -f - 5*v, f - i = -v. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2\/13 (b) -1\/5 (c) 1573\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 6}. What is prob of picking 2 r and 1 o?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7 + 24*u + 26*u - 37*u wrt u.\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*j**2 - 6*j**2 - 8*j**3 + 7*j**3 to l*j**3 + m + a*j**2 + w*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -32825 by 633.\nAnswer: -32825\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352044 and 17717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -151 - -155. Suppose l*k - 168 = -b, 0*k - 141 = -b + 5*k. What is the highest common divisor of 12 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19803603 - 3*q**2 - 19803603.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -59 (base 12) to base 14.\nAnswer: -4d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.19 - -0.19. Let g = -7 - f. Which is the third biggest value? (a) -0.06 (b) g (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -58. Suppose -q*s + 72 = -5*s. Suppose 0 = s*m - 13*m + 72. Solve -l + 7 = -4*n, 0 = -3*n + 6*l - l - m for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1047931 > -1047931?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105*n**2 - 5 - 265*n**2 + 124*n + 161*n**2.\nAnswer: n**2 + 124*n - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11 times 0.39\nAnswer: 4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 3*k - 7 - 20 = -2*k, -7*y - 5*k = -7*y - 35 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 2*s + s)*(-5 - 1 + 4)*(0 + 1 + 2)*(32*s - 14*s - 2*s) + 4*s**2 + 0*s**2 + 0*s**2.\nAnswer: 196*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5289, 21135, 47595, 84669?\nAnswer: 132357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 725*x**5 - 2965*x**4 + 3070*x**3 + 100*x**2 - 360*x = 0 for x.\nAnswer: -9\/29, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 14 - (1 + 0 + 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 5 = 3, -5*h - 1191 = -r. Let p = -49 - h. Suppose 0 = -2*d - n + 43, 2*d - 3 = -5*n + 60. What is the greatest common factor of d and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 67717 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 - 156\/(-42). Suppose -o*f - 15 = f. Let h = -2 - f. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -117.7 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 5*l + 8. Let m be q(6). Suppose m*d = 4*d. Put d, 5, -1 in decreasing order.\nAnswer: 5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 856*v**2 - 22980*v + 165600.\nAnswer: -4*(v - 184)*(v - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 89763, 179769, 269763, 359739, 449691?\n\"Answer: -o**3 + 90013*o - 249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288992 = m - 2*o, 2*o - 7 = 1. What is m rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -64 - 45ea?\nAnswer: -464e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:25 AM and 8:37 PM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/45?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 271955.1 micrograms to grams.\nAnswer: 0.2719551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**3\/3 - 129*i**2 - 12672*i - 36864 = 0.\nAnswer: -192, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**7\/s)**(-39)*(s**0)**22 assuming s is positive.\nAnswer: s**(-234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.00755 - 0.1.\nAnswer: -0.09245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1234442503 (base 6) to base 14\nAnswer: 1cd64d1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 47*p**2. Let f(s) = 10*s**2. What is f(y(i))?\nAnswer: 22090*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 2*c**2 - c + 4. Let z be w(2). Suppose -5*v + 9 + 11 = 0. Suppose -2*j - 6 = 4*i, v*i - 8 = i + j. Sort i, -3\/5, z.\nAnswer: -3\/5, i, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005083 rounded to four dps?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.698 in 2, 8, -0.1, -2\/3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22436?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*z - 10*z + 781*z + 813*z + 110 + 255 wrt z.\nAnswer: 1597","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**3 - s**2 - 92*s + 29. Give p(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -37. Let m = -4.27 + 4.74. Which is the nearest to m? (a) 2 (b) y (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-1)\/(-6))\/((-1)\/1)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3625067.\nAnswer: 19, 190793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 11 = -2*q, n - 14 = 2*q + 5. Calculate the common denominator of -87\/8 and (q - 1)*3\/(-5).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -4. Let h be 17 - (n + (-1)\/1). Suppose 4*b = -0*b - h, 0 = 2*d + 5*b + 14. What is the remainder when 7 is divided by d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4108, 4087, 4066, 4045, 4024?\nAnswer: 4003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 8*c**2 + 7*c - 1. Let w = -4 - -9. Suppose w*n - h - 80 + 44 = 0, 31 = 5*n + 4*h. What is f(n)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = m - 3 - 9, 2*m + g = 24. Suppose 78*v - 53*v - 100 = 0. Solve v = 4*k + m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21 + 131?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 126.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 2085156?\nAnswer: -2085156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 56\/397331 and -73\/246?\nAnswer: 2383986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + n = 0, -215902*a + 24 = -215904*a + 2*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 4*j + 7. Let l be d(3). Suppose y + a + 0*a = 7, 0 = -l*y - a + 16. Let z(o) = 5*o - 7*o - y*o - 1. Determine z(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, -5, 4, 37, -2 in ascending order.\nAnswer: -5, -4, -2, 4, 10, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1281365, -1281397, -1281471, -1281605, -1281817?\nAnswer: -1282125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -7354 greater than or equal to 55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -5*l - 25. Let y(z) = 4*z + 24. Let o(u) = -2*p(u) - 3*y(u). Let t be o(-12). Suppose -b = -2*c - t*c + 48, -2*c + 24 = b. Is 4 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 108\nAnswer: -32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 6*u + 8. Let z be h(9). Let k = 476 + z. What are the prime factors of k?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/22 and 49\/408428.\nAnswer: 4492708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/87, -0.4, -0.2, 0.003, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(3*m + 1 - 1) + 4*m - 3*m + 0*m - 2 + m + 2 + (1 - 3 + 0)*(m - 5*m + 3*m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -65 + 66. Which is the nearest to 0.2? (a) p (b) -2\/11 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8543\/8700 - 189\/100. Find the common denominator of m and -69\/4.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/11 in 0.1, -2, -2990, 0.3, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*y = 22*y + 8460000. Let c be (4\/6*-3)\/(1\/y). Round c to the nearest one hundred thousand.\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 150 - 85. Let y = 65 - w. Let 2\/3 + y*h - 2\/3*h**2 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 12:17 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -632060*c**3 - 197939*c**2 wrt c?\nAnswer: -3792360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 220*i**3 + i - 33 + i**2 - 218*i**3 - 2*i**2 + 117 to u*i + k*i**2 + v*i**3 + g and give g.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(153) - (-1 + (sqrt(1088) - -3*sqrt(1088) - sqrt(17)))**2.\nAnswer: -16336 + 56*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 6, t: 2, k: 11}. What is prob of sequence bbkt?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**3 + 1495*o**2 + 2986*o = 0. Calculate o.\nAnswer: -1493, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36874*n**3 + 73750*n**2 + 36878*n + 2.\nAnswer: 2*(n + 1)**2*(18437*n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1995, 5589, 11563, 19917, 30651?\n\"Answer: 1190*w**2 + 24*w + 781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 + 23*a + 81. Calculate b(-18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.3017141 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*z + 4*z + 2*z**4 - 2*z**4 + z**4 + 0*z**4 + (3*z + z - 5*z)*(3*z**3 - z**3 + 0*z**3) - 7*z**4 - 6*z**4 + 9*z**4)*(2 - 3 - 2).\nAnswer: 15*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92320597.\nAnswer: 23, 4013939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(171)\/(sqrt(36)\/sqrt(4)) - ((sqrt(19) + 1)**2 + 1) - (sqrt(133) - -1*(sqrt(133) + (1*sqrt(133) - sqrt(133))))\/sqrt(7)).\nAnswer: -19 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*r - 6626 = 0, 4*t + 6622 = 6*r - r. Let d = -285177\/172 - t. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-1 + sqrt(108) + -3) - (-1 + (sqrt(108) - -1*sqrt(108)) + 2 + sqrt(108) + -1))*3)**2*4.\nAnswer: -6912*sqrt(3) + 62784","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/((-160)\/152) + -5)\/2. What is the closest to 0 in 8, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -354 (base 13) to base 8\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 + 68*b\/7 + 1734\/7.\nAnswer: -2*(b - 51)*(b + 17)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81899 is divided by 70.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n + 3*n - n)*(5*n + 2*n - 3*n).\nAnswer: -32*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0. Let d = 27\/106 + -1\/212. Which is the biggest value? (a) d (b) 4\/7 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f**2 - 13. Let a(j) = -32*j**2 - 624 - 24*j + 69*j + 624 - 43*j. Calculate a(z(i)).\nAnswer: -288*i**4 - 2502*i**2 - 5434","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 854800621 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -1. Let b be 16\/4362*528\/704*(-4 - -5). Are b and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-93)\/((-2976)\/(-64)) + -12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbvbrvbbvbbvvvv. What is prob of sequence vbv?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 95 - 1a2?\nAnswer: -10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354*b + 95783 = 355*b - 2*w, 2*w = -10. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k*k**(-6\/17)*k*k)*k)*(k**(-4\/17)*k)\/k*(k*k**(-1\/20)*k*k*k)\/k**(-1\/18) assuming k is positive.\nAnswer: k**(16577\/3060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 - (-2 + 3) - (-203 - -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*t - 82*t + 29*t + 23*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**(-1)))**(1\/29)*h**(4\/9)\/(h*h**2))\/((h*h\/((h\/(h\/(h\/(h**1*h))))\/h)*h)**(4\/29)\/((h\/(h\/((h*h*h**3)\/h)))\/(h\/h**(2\/11)))) assuming h is positive.\nAnswer: h**(-83\/2871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(1\/7)*d)**12 assuming d is positive.\nAnswer: d**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9\/2 + 6. Let g be -2 - (-730)\/325 - (-4)\/26. Put g, o, -6\/11 in descending order.\nAnswer: o, g, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 2*u + 5. Let w(p) be the second derivative of -p**3\/2 + 3*p**2 + 207*p. Determine 3*j(z) - 2*w(z).\nAnswer: 3*z**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/6 in -2, 0.2, -1, 9.8, 0.12?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10191 - 10195. Which is the nearest to -1\/19? (a) -2\/11 (b) t (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 27\/10 (b) 1\/85 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3831510690?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -2.5. Let s = -0.04 - -1.04. Let g be (-2)\/7 + (-16)\/(-42). Which is the second biggest value? (a) g (b) s (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.56076 and -1.06391418.\nAnswer: 0.49684582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.462 - 0.538. Which is the closest to -7? (a) m (b) -4 (c) -0.1 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12024709 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 12 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/2*12\/6. Let l = 6 - 4. Suppose r*c = -l*c + 15. Solve 4*b - 15 = -c*y, 4 = 5*y - 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m = 43*m - 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x**5\/2 + 1316*x**4 - 2637*x**3\/2 - 5264*x**2 + 5266*x = 0. What is x?\nAnswer: -2633, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 15360729 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -2*h**3\/3 + 574072*h**2\/3 - 2296264*h\/3 + 2296256\/3 = 0.\nAnswer: 2, 287032","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -170, -129, -76, -11?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 345 is divided by 60.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 276 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/38 and 65\/24?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.54 - 0.74. Let x = -0.7 - -0.1. Let m = -0.61 - x. Sort m, l, 3\/2 in ascending order.\nAnswer: l, m, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121*(-188)\/(-1504)*24\/(-3)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 88982 divided by -2\nAnswer: -44491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + c**2 - 2*c + 3. Let s(x) = x**2 - 2*x. Let y be s(2). Suppose y = -2*j + 2 + 2. What is l(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15413353 (base 6) in base 2?\nAnswer: 10000101011001100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3127 or 96970\/31?\nAnswer: 96970\/31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66092 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*f - f = 26, -2*a - 1 = 5*f. Let d be (-26)\/(-8) - (-7)\/(-28). Let k(p) = 0*p**3 + 4 - p**d + 2*p - 6*p**2 - 11*p + 2*p**3. Determine k(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (4 + -2) - -3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23 (b) 0.3 (c) 1\/2 (d) 1.9 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 6. Let r be (0 + (-25800226)\/(-6))*b. Suppose -1500113 = 3*m - r. Round m to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -164 (base 12) to base 11.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211318?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 4\/(-1) + (27 - 20). Suppose -y*v = 3*i + 15, -5*i + 4*v = 5*v + 9. Is i bigger than -8\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o - 3. Let v be g(-2). Is v*-6434*(-4)\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1224\/5 - -244. Let n = -194.5816 - -0.0816. Let i = -194.1 - n. What is the closest to -2\/9 in i, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a**2 + 11*a + 4. Is 7 a factor of g(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/9*-3*105\/(-90).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -504, -1009, -1516, -2025, -2536, -3049?\nAnswer: -3564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4417320 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 3\/7, 40, 1\/66, -1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/3 - -1)\/(34\/153) - -1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 5.05\nAnswer: 20.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*k**4 + 35*k**3 - 263*k**2 + k - 5044482 with respect to k.\nAnswer: 16*k**3 + 105*k**2 - 526*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 1290*p + 911074. Calculate v(507).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in eleven eighths of a microgram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*a = 155832 - 156212 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 618821 to the power of 1\/2, to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.3 or -3.07?\nAnswer: -3.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 14 (b) 2 (c) -1\/11 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -4413771?\nAnswer: 4413767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -55*d - 2 - 3 + 30*d. Calculate the remainder when k(-2) is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001090961212 rounded to seven decimal places?\nAnswer: 0.001091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -5 + 5*a**3 + 3*a - 3*a**2 + 0*a**3 - a. Let j(x) = 6*x - 170. Let w be j(29). Let t(h) = -6*h**3 + 4*h**2 - 2*h + 6. What is w*o(l) + 3*t(l)?\nAnswer: 2*l**3 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/55, -2\/4467, 2\/7, -5\/2, -0.7?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5, f + 4*b = 18 + 7. Let w = 53 - 13. What is the greatest common divisor of f and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.75 - -0.25. Let g = 19 - 18.6. Let j be (1\/(-9))\/((-1)\/3). Sort g, b, j in descending order.\nAnswer: b, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + -101. Let q = -79 - i. Let o = -15 - -26. What is the highest common divisor of q and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*f + f + 15 = 0, 4*z = -5*f + 29. What are the prime factors of 8\/z + (-2758)\/(-42)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 3*z + 8 - 2*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 - 221 = -j, 0 = -5*y - 5*j + 225. Let d be 3\/2 + 51*y\/10. What is the highest common factor of d and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 2*i + i)*(3 + 2 - 4)*(-13*i + 65*i - 3*i).\nAnswer: 98*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31 + 31 - f**2 + 7*f**2.\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5.7. Let w = 3 - 2.6. Let d = v + w. What is the closest to d in -4, 0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 47*g**5 - 15*g**2 + 7*g - 7. Let w(d) = 16*d**5 - 5*d**2 + 2*d - 2. Let u(y) = -2*b(y) + 7*w(y). What is the third derivative of u(s) wrt s?\nAnswer: 1080*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/9)\/(110\/12). Let x(r) = -r**3 - 3*r. Let d(j) = -2*j**3 + 8*j**2. Let l be d(4). Let t be x(l). Which is bigger: t or z?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j + 6*j - 5*p = -78373, 3*j = -2*p + 58785. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3105495 + -0.21\nAnswer: -3105495.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/7 + 205965*l\/7 - 205958.\nAnswer: -(l - 205958)*(l - 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1867 + ((-10)\/(-6))\/((-115)\/(-414))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence py when two letters picked without replacement from bpuwjyu.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -38, -41, -54, -77, -110?\n\"Answer: -5*j**2 + 12*j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 2. Suppose -4*s - 1 - 7 = 0, -4*z - 5*s - 14 = 0. Let o(t) = t**2 + 1. Let u(q) = z*b(q) - 2*o(q). Let h(a) = 5*a**2. What is h(u(y))?\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 109839 divided by -36613.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 - 5*l**2 - 7*l + 2. Let c be d(6). Let j(k) = k**2 + 8*k - 25. Let n be j(-10). Sort c, n, 0 in decreasing order.\nAnswer: 0, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 10\/(-18) + (-10)\/(-15). Let a(m) be the first derivative of 0*m**3 - 1\/18*m**4 + 2 + y*m**2 + 0*m. Solve a(r) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 63, 5, -19 in decreasing order.\nAnswer: 63, 5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -4*x**3 + 195*x**2 + 677*x + 119. Calculate v(52).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -2, -303\/1562, -4, 1, -2\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22252012 to the nearest integer?\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5 + (sqrt(175) - 2*sqrt(175)) - (-4 + 2*sqrt(175))))**2*3.\nAnswer: 3240*sqrt(7) + 170208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 20. Let p be o(13). Suppose 1678 = n + a, 2*n - p*n + a = -8360. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 6*b - 11. Let u be f(8). Let z be (-48)\/10*(u\/(-2) - 0). Solve -3*t = t + z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 23*n**2 - n - 1. What is the units digit of m(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 405090855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -2518631687.\nAnswer: -2518631687.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4725?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000024656848 to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2*16\/((-256)\/112)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21200\/2800 - ((-12)\/(-14))\/(-2) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**2 + 555*d - 13572.\nAnswer: -3*(d - 156)*(d - 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -6. Let r(i) = 27251*i - 2 + 3 + m. Let x be r(-4). Round x to the nearest ten thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42737*x + 35953 + 35943 - 71896)*(4*x + 3*x - 4*x) to a + b*x + m*x**2 and give m.\nAnswer: 128211","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 4 + -3 + 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3.0111 - -0.0111. What is the third biggest value in -0.6, c, 1\/4, -1\/7?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b - 1. Let a be s(-3). Let j(i) be the third derivative of i**5\/60 - 5*i**2 - 6. Let q be j(a). Solve 10 = q*l + l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 2:40 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -462 - -459. Let l = 4.01 + -0.01. Which is the nearest to 2\/7? (a) o (b) l (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**11*u)\/(u\/u**(-6)))**(-2\/19)\/((u\/((u\/(u**(-11)\/u*u))\/u))\/u**(-12))**(2\/63) assuming u is positive.\nAnswer: u**(-706\/1197)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/(-20)*84\/11655 and -61\/2220.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277691*-24.\nAnswer: 6664584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -5. Suppose r*z + 38 = 4*p, 3*z - 4 = 2. What is the remainder when 43 is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 4.7845914734.\nAnswer: 9.7845914734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 5 = -j - 0, -4 = x + 2*j for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 15*v + 5. What is z(-2)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28761 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1311936*b**3 - 3286*b**2 - 44 wrt b.\nAnswer: 7871616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 0*f + 2*f + 0*f + 33*f**3 - 5*f**2 - 1 - 31*f**3. Let k be d(3). Solve -2*s - 4*u - k = 0, s + s - 5*u - 4 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.762356*-1.\nAnswer: -4.762356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/(u*u*u**(2\/9)*u)*u**1*u*((u\/(u\/u**(-1\/2)))\/u*u*u)**(-3) assuming u is positive.\nAnswer: u**(-31\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**2 - 41*v - 45. Let l be i(-40). Let h(t) = -2*t - 6. Let y(j) = -3*j - 12. What is l*h(w) + 3*y(w)?\nAnswer: w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*g**3 - 3)*(7 + 3*g - 7)*(-87*g - 102*g - 107*g).\nAnswer: 1776*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r + d - 131, 155 = 5*r + 5*d + 10. Solve r*k = 26*k - 48 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 33\/9)*32\/(-42). Which is smaller: u or 8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9\/(-6)*(-10)\/3. Suppose -5*r + 15 = -8*r, 0 = -a + o*r + 49. Calculate the remainder when a is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 619\/6, -2\/11, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*i**4 + 8*i**4 - i**3 - 24*i**4 + 9*i**4 - 6*i**2 to y*i + b*i**3 + c + s*i**4 + k*i**2 and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -89.6193 - 2755.1894\nAnswer: -2844.8087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 351 = -295. Suppose 13 = s + y. Solve -2*f = -1 + s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a gram in milligrams?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -2*k + 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5 - 3*a**4 - 38*a**3 - 51*a**2 - 20*a = 0. What is a?\nAnswer: -5\/4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 10 = -4*s - 1, -3 = 3*s - w. Let d be s\/(-2) - (-24)\/(-27). Let q = 13 - 13. Which is bigger: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 656385.5 kilometers to millimeters.\nAnswer: 656385500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -12*n**2 + 188*n. Let s(t) = -2*t + 14. Let z(g) = -2*g + 21. Let y(c) = -3*s(c) + 2*z(c). What is y(r(k))?\nAnswer: -24*k**2 + 376*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6 - h**2 - 5*h + 3*h**2 - h**2. Suppose -5*a + 28 - 48 = 0. Does 10 divide z(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - 8*z**2 - z - 9. Let l be o(-8). Let k = l - -3. Let a(y) = -4*y + 3*y + k*y. Let f(v) = 8*v**2. What is a(f(w))?\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 2*a - 190, -3*x - 230 = -3*a + 2*x. Let c = -2677 + 2597. Let i = c + a. Solve -i*n = -5*v - 15, n - 5*n + v = -6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 19*c - 90 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eighteen fifths of a week?\nAnswer: 36288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 23099253 < 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:15 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12031 and -0.01.\nAnswer: -120.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 9*k**3 - 7*k**2 - 5*k - 7. Let o(f) be the first derivative of -13*f**4\/4 + 10*f**3\/3 + 7*f**2\/2 + 10*f + 1496. Determine -7*b(v) - 5*o(v).\nAnswer: 2*v**3 - v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-15) - (-4)\/6. Let y = 59 - 60. What is the nearest to 0.2 in c, 4, y?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.04 + 2. Let w = -44.96 + f. Let u = w - -45.0000019. What is u rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**2*m + 3*l**2 + 2*l*m + 12*m - 4 wrt l.\nAnswer: 8*l*m + 6*l + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/12 - 824*n**2\/3 - 67337*n - 521160 = 0 for n.\nAnswer: -3030, -258, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2. Let s(b) = -b**2 + 4*b + 14. Let y be s(6). Let c(i) = -y*i**2 + 0*i**2 - i**2 - 7*i**2. Determine j(c(w)).\nAnswer: 200*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(20\/9))\/s*(s**19*s)\/s assuming s is positive.\nAnswer: s**(151\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6. Let a = h + 0.04. What is a rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000052754 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 301 times 0.5?\nAnswer: 150.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4, 37, 140, 335, 652, 1121, 1772, 2635?\n\"Answer: 5*t**3 + t**2 + 3*t - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 335851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 + 7 + 12)*(3*a - 4*a - a) + a - a + 2*a.\nAnswer: -92*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-78)\/30) + 9\/35\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 715 + -711.97. Let y = 3 - v. Let t = 0.07 - y. Which is the nearest to 2\/3? (a) t (b) -4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 42*q + 46. Let v be w(-3). Let i = v + 80. Solve 30 = 5*n - z - 0, -2*z - 10 = i for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2 - 2*y + 5 - 5 - 1. Give n(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*j - 1 + 5 + (-3 + 2 - 1)*(4 - 4 - j) + 2*j - 5*j + 0*j in the form y + r*j and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m - 1. Let n(j) = -8*j - 13. Give n(b) - 5*s(b).\nAnswer: 2*b - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1799*z**4 - 3*z**3 + 19*z**2 + 37*z + 3. Let w(v) = -v**3 - v**2 + v + 1. Let q(f) = t(f) - 3*w(f). Find the third derivative of q(i) wrt i.\nAnswer: 43176*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 54*n**2 - n - 145.\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*j - 353*j - 178*j - 442*j - 157*j.\nAnswer: -1041*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 90898\nAnswer: -2\/45449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 93 = -s, -4*r - 87 = -s + 6*s. Let b be 51*(42\/r)\/(-7). What is the greatest common factor of b and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 10, 4*y - 5*n = 1882383 + 1141592. What is y rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -753794 at least -753794?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*u - l, 4*u - 50 = -5*l - 3. Let y(k) = -k**2 + 6*k - 1. Calculate the lowest common multiple of y(5) and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/3)\/u*u**(1\/5))**(-12)\/(((u\/(u\/u**(2\/7)))\/u*u)\/(u**(-11\/2)*u))**(-18) assuming u is positive.\nAnswer: u**(3491\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-4)\/3*-3.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jfll when four letters picked without replacement from {l: 9, j: 2, f: 2}?\nAnswer: 12\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0955064117 to five decimal places.\nAnswer: 0.09551","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14*b*r**3 - 76048*b*r**2 + 30*b*r - 2*b + 101011831 wrt r.\nAnswer: -42*b*r**2 - 152096*b*r + 30*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 2) to base 6.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 846?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*-4*(4*((sqrt(110) - (sqrt(110)*-1 + sqrt(110))) + sqrt(110)))\/((sqrt(40)\/sqrt(4)*3 - sqrt(10) - sqrt(10)) + sqrt(10)).\nAnswer: -80*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 69 - 323. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/14*(-126)\/(-24)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8484.859 hours to milliseconds.\nAnswer: 30545492400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000057461 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1447*m - 9409. Calculate the least common multiple of 390 and b(7).\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ka when two letters picked without replacement from yygffkfkfak?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2969986, 5939944, 8909888, 11879818, 14849734?\nAnswer: 17819636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**5\/7 - 121*i**4\/7 - 1157*i**3\/7 + 362765*i**2\/7 - 358700*i\/7 - 722500\/7 = 0.\nAnswer: -50, -1, 2, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3885 and 23802840.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11\/18 or 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ceceycceece. What is prob of picking 2 e, 1 c, and 1 y?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53864 and 47131.\nAnswer: 377048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 3*h**2 - 4*h + 3. Let q be k(-4). Factor -18*m**4 + 2*m**5 - 2*m - 1 + 4*m - 1 - 4*m**q + 16*m**4 + 4*m**2.\nAnswer: 2*(m - 1)**3*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*d**3*o**2*w + 6*d**3*o**2 + 70*d**3*o*w - d**3*o - 2*d*o**5 + 2*w wrt o.\nAnswer: 4*d**3*w + 12*d**3 - 40*d*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4)*(-2)\/(-9). Let d = 0.5198 - 0.4798. What is the second smallest value in d, -1\/8, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 - 6 - 5 + 269*p - 19 - 275*p.\nAnswer: -6*p - 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zltnndnlnnlnnnzzdn. What is prob of picking 1 t, 1 l, and 2 z?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 718303 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkhhxxkkxhkkkxkkh. What is prob of picking 1 k and 1 h?\nAnswer: 24\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/99744 and -45\/66496.\nAnswer: 199488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 8:26 AM?\nAnswer: 6:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 2031*f + 2054*f = 98, 16 = 2*g + 3*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1568) + sqrt(288))*-2)**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 13, 14, -104, -11, -2.\nAnswer: -104, -11, -4, -2, 13, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 267 and -19.512.\nAnswer: -5209.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**5 + 951*b**3 - 951*b**3 - 8*b**2 wrt b?\nAnswer: -60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -318.76377 to 1 decimal place.\nAnswer: -318.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-178)\/(-534) + 2\/(-3)*-7\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + l + 14 = 0, -4*l + 3*l = 3*k - 4. Which is the third biggest value? (a) 2 (b) 0.1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.471349 to 2 dps.\nAnswer: -35.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2 + 480*f + 10240.\nAnswer: 5*(f + 32)*(f + 64)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - l = -49, 0 = -5*j - 3*l - l + 53. Let i(s) = 2*s**2 + 3*s - 23. Let f be i(j). Round f to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100320 = -1122*n + 17527 + 39870 - 93961 for n.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-8) + (-7)\/(-2). Let p be (9\/6)\/(x\/8). Calculate the common denominator of (-39)\/(-16) + p*-1 and 69\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 778. Calculate the lowest common multiple of t(-46) and 464.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -3\/2, -0.2, -11, 1\/23, -1\/4, 59?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2*x**4 - 125*x**2 + 11*x**4 + 127*x**2 as l*x**3 + i + h*x**4 + b*x + j*x**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 148\/145 + -18\/29. Which is the nearest to k? (a) 7 (b) -2 (c) 2\/5 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) -2 (b) 0.3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3 + 9*q**3 - 8*q**3 + 11*q**2 + 0*q**2 + q**2 - 7*q. Is u(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.4192 + -4.6843. Round k to two decimal places.\nAnswer: 3.73","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -423, -3304, -11055, -26088, -50815, -87648, -138999?\n\"Answer: -402*j**3 - 23*j**2 + 2*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 5*n - 6. Suppose 38 + n = 4*t. Let z = 4 + t. Calculate the remainder when 101 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2985 divided by 199\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022908541 to the power of 1\/2, to the nearest integer?\nAnswer: 31983","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 11. Suppose s = -x - 3*s + 19, 4*x = 4*s - o. What is the tens digit of (x - (-48)\/(-2))*(-3)\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 4236*q + 5918244.\nAnswer: -3*(q - 2278)*(q + 866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 8, g: 2, o: 3, r: 2, f: 1, s: 1}. What is prob of sequence sgo?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -16, 37, 146, 329?\nAnswer: 604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 391 and 575?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3511 = -0*m + c, -m + 2*c + 3505 = 0. Let l be -4 + 12\/(-5)*120\/(-48). Is (l\/1)\/(22\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6890983513 + -0.1.\nAnswer: -6890983513.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26371135745 and 0.4?\nAnswer: 26371135745.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 4*k**2 - k. Let p be (2 + -1)*1\/(-1). Let m be s(p). Let g(x) = -x**2 + m - 5 - x**2. Let w(d) = -3*d. Calculate g(w(j)).\nAnswer: -18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-2)*(-2 - 0). Let l(v) = r - 5 + 4*v. Let p(c) = -3*c**2. Calculate l(p(s)).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -3 (c) -146 (d) -0.0592 (e) -73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 536057183 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9128739*f**4 - 35441678*f.\nAnswer: -109544868*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782)*-3)\/sqrt(2) - (-3 + (2*3*sqrt(11))**2).\nAnswer: -393 - 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-10))\/(18\/(-30)). What is the closest to f in 0.4, -0.2, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 16) to base 3\nAnswer: -2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 26*f = 8712. Let n = 793\/2 - f. Let z = -49\/2 + 25. What is the nearest to n in -0.1, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -4*i + 4979, -i + 4*j - 4980 = -5*i. Let w = i - 872. What are the prime factors of w?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 678.48 * -0.02.\nAnswer: -13.5696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = q + 4*c - 16, 115141 = 2*q - 2*c + 115157 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -252, -499, -734, -951, -1144, -1307?\n\"Answer: t**3 - 254*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/63 in 11, 399, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 21 and -254.\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16*(-8)\/384)\/((-2)\/(-18)). Sort -4, -262, x, 4 in decreasing order.\nAnswer: 4, x, -4, -262","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-13\/2)*b)\/(b\/b**(-2\/131)*b))\/(b**(-2\/21))**(12\/7))**10 assuming b is positive.\nAnswer: b**(-407735\/6419)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 104*o + 108*o - 151 = 0, 2*d - 4*o = 290. What is the highest common divisor of d and 987?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*808\/72 - 24\/(-108)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -233738064 and -0.5.\nAnswer: 116869032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.4 times 28?\nAnswer: 543.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.014 - -232.014. Let m = 232.0538 - f. Round m to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(392)*-1*-1)\/((sqrt(98)\/sqrt(2))\/sqrt(7)))\/(sqrt(3240)\/sqrt(5) + ((sqrt(32)*-4 - sqrt(32)) + sqrt(32) + sqrt(32))\/sqrt(4) + sqrt(8)).\nAnswer: sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 9:48 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.68782988 plus -0.0534?\nAnswer: 27.63442988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -14*b**2 - 2. Let o(f) = -2*f**2 + 1 + 1560653*f - 1560661*f - 1. Calculate o(a(i)).\nAnswer: -392*i**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 5. Let j be v(-5). Let c = 1.1 - 1.3. Which is bigger: j or c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yry when three letters picked without replacement from yprrfrfpy?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -635 - 21*d**2 - 12*d + 9*d**2 + 636 - 19*d**2 to the form q*d + m + r*d**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1733986 (base 11) to base 8\nAnswer: 13175661","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 380? (a) -3 (b) 0.3 (c) 4 (d) -1\/5 (e) -31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*m**3 - 230696*m**2 - 3397778*m + 3628460 = 0 for m.\nAnswer: -110\/7, 1, 16493","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 2, 54.98 in decreasing order.\nAnswer: 54.98, 2, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -t + 5. Let o = t + -10. Is 7 less than or equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/(1*4\/4). Suppose -o*w - d = 33, 3*d = -2*w - 14 - 7. Let n be 3\/w*4 - -18. Solve -5*j = -4*k + n, -j = -k - k + 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-6\/7))**40 assuming a is positive.\nAnswer: a**(-240\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*j = 16*j + 222 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -3\/5, 0.5, 245, 0?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10287 + 9029616662\nAnswer: 9029606375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of o**2 + 19. Let s(l) = 2*l**2 - 6. Give s(z(d)).\nAnswer: 8*d**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004954 rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 l when two letters picked without replacement from jlljllllljjlljjlllj?\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(114)\/(sqrt(600) - (3*sqrt(600) + sqrt(600)) - sqrt(6))*3*5.\nAnswer: -15*sqrt(19)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -9377, -18783, -28193, -37607?\n\"Answer: -2*h**2 - 9400*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 884500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (2\/8 - 49\/(-28)). List the prime factors of (-1)\/(f\/(-317)) - -1.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (254 - 253)\/((-4)\/2)*2*(-93)\/3.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 281786374?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**5\/450 + m**4\/60 + 2*m**3\/45 + 12*m**2. Factor y(d).\nAnswer: 2*(d + 1)*(d + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 AM and 2:43 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/4 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 3320 and 16593\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llrlllrrlrl. What is prob of sequence rrlr?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1766*p**3 + 7249*p**3 + 2 - 3 + 1.\nAnswer: 9015*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/925 and -3\/74.\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7848025139 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1302 + -21033012?\nAnswer: -21031210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1474?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2155 * -5.4.\nAnswer: -11637","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3531860 rounded to the nearest ten thousand?\nAnswer: 3530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 11*b - 44*b = 3730 - 3910, 2*b - 4*b + 8 = 0 for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 89 - 715\/8. Let x = -1 - -1. Suppose x = -4*m + 4*o, 0*m + 3*m = -o. Is m > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5451 and -21.0899.\nAnswer: -5472.0899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7758883 litres to millilitres.\nAnswer: 775.8883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.05 - 0.15. Let q = 0 - -0.3. What is the second smallest value in -1, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -199 - 92. Let t = y + -426. What is t rounded to the nearest 100?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*t - 4 - 4, -5*n - 5*t = -15. Let m be 1\/n*26\/1. Round m to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 473\/(-3)*678\/(-226). Let u = 1 - -1. Suppose -u*x = 2*j - 182, -2*j + 91 - c = -4*x. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/((-11)\/(-132)). Let c be -4 + 2 - 13\/b. Let a be (-2)\/8 - 1\/12. Which is greater: c or a?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -79.3 + 74.3. Let z = -0.06 - 2.94. What is the second biggest value in z, -1\/7, 0.4, l?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.88 times 42?\nAnswer: -5790.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 328522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 4*t**2 + 0*t**2 + (-2*t - 1 + 1)*(-3*t + 6*t - 2*t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**2 - 4*h**2 + 5*h**2)*(-74*h + 158*h - 71*h + 1).\nAnswer: -13*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1019 + 1019.4. Put -0.5, m, -6, 13 in descending order.\nAnswer: 13, m, -0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.653 - 0.053. What is the second smallest value in 2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 80*u + 1. Let s(n) = -2*n. What is g(s(k))?\nAnswer: -160*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/55*-2)\/(1\/10).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -616225, -616212, -616199?\nAnswer: -616186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3.1 - -3. Let v be (-5)\/(-40) - (-410)\/(-80). Let r = 381 + -5713\/15. What is the nearest to b in v, -3\/2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 0*k**3 + k**5 + (0*k**2 - k**2 - 4*k**2)*(2*k**3 - 5*k**3 + k**3).\nAnswer: 11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228*t + 5121 = -219*t. What are the prime factors of t?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19779455 and 4720?\nAnswer: 295","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62003 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 - 408*w - 1696.\nAnswer: 4*(w - 106)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 8 = 2*x, 0 = 2*b + b + x. Which is smaller: 1\/50 or b?\nAnswer: 1\/50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2105 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38499 to the power of 1\/3, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*f + 20, -5*l - 7 = f + 3. Suppose -3*s = 12, w - 4*s = -0 + 19. Which is the closest to 5? (a) w (b) -3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98934584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = c - 0*c. Let q(d) = 2*d**2 - 2*d - 5. What is the remainder when q(5) is divided by (c\/3)\/((-3)\/27)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 11:40 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106 by 82.\nAnswer: -53\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b**5 - 158*b**3 + 3*b + 181 wrt b.\nAnswer: -20*b**3 - 948*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 minus -571?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 5*j + 1 = -q, 10*j - 2*q - 42 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/540 and 49\/108.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 225 + 0.193505?\nAnswer: 225.193505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 12*k**2 + 113*k - 521. Let w be p(7). Let y(l) be the first derivative of 1\/3*l**3 + 0*l**2 + l + w. What is y(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 25107693?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254330 (base 8) to base 14.\nAnswer: 2425a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7081 at least as big as 84983\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3720*b**3*c**2 - 649*b**3*c + 11*b*c**2 - 51 wrt c?\nAnswer: -7440*b**3 + 22*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77812 - 62*c**2 - 77812.\nAnswer: -62*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2557 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (244\/(-366))\/((-3)\/(-1))*36*33\/4?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*c - 148*c - 65*c in the form p*c + u and give p.\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 12*g**2 - 15*g - 12. What is s(13)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9593 + 9597. Let i(d) = 7*d - 5 + 0 - 2*d + 15*d**2. Let u(q) = -14*q**2 - 4*q + 4. Give a*i(o) + 5*u(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b**5\/15 + 394*b**4\/15 + 976*b**3\/3 + 5912*b**2\/5 + 4416*b\/5 = 0.\nAnswer: -184, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 3*s**2 + s + 44. Let w be l(-12). What is w rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/39*321\/535?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1))**(-34)*b**(2\/11)\/b**(-1\/4)*((b*(b**8*b*b)\/b)\/b**(-1\/9))**(-33) assuming b is positive.\nAnswer: b**(-43987\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide -4 + (-12)\/20 + (-1146)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 50983?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 3 + 2*u + (u - 1 + 1)*(-1 + 5 - 3) + 3*u - 2*u - 5*u - 1 - u + 1 + 77 - 27*u - 77 + (0 - 1 - 1)*(2*u + 3 - 3) in the form a + g*u and give g.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -670 or 0.093?\nAnswer: -670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {x: 1, h: 12}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 31 = 3*w, 7*w - 3 = 11*w - a. Let r = -18.4 + 18. What is the biggest value in r, -4, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -244 (base 9) to base 4.\nAnswer: -3022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-13) - 48\/52. Which is the closest to x? (a) -5 (b) -4 (c) 3\/16 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23648 by -1478.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - 8*p = 10. Solve -t - 4*d = -15, 0*d + p*d = 5*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r + r + 704 = 0. List the prime factors of r.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 4\/(-12)*(-41 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -38*k - 342. Let u be x(-9). Let r(m) = -m**2 - 2*m - 1. Let w be r(-2). Put w, u, 3 in decreasing order.\nAnswer: 3, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**4 - 5*v**4 - 3*v**4 - 5*v**4 + 0*v**4 - 20*v**4 + (-3*v + 2*v + 2*v)*(-v**3 + 2*v - 2*v) - 11*v**2 - 2*v**4 + 11*v**2.\nAnswer: -30*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8193578283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-10) - ((-534)\/(-210) - 2). What is the smallest value in -29\/2, -2, f, 4?\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(833) - (0 + sqrt(833)))*5 - (sqrt(833) + (sqrt(833) - (0 + sqrt(833)*-2))))*2)**2.\nAnswer: 53312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssxsssxxxxxs. What is prob of picking 2 s?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -287314.5 and -5?\nAnswer: 1436572.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 17 = -d, 3 = q - 4*d - 4. What is the highest common factor of 135 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 2*y - 10 - 2*y. Let p(n) = -2*n**2 - 6*n - 7. Let z be p(-4). Let x be b(z). Solve x*q + 3*s - 21 = 0, 0*q - 3*q = 4*s - 17 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -48 - -46 - ((0 - -3) + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 18 - 78 = -19*t. Let n(o) be the third derivative of 0*o - 24*o**2 - 3\/4*o**t + 0 - 1\/20*o**5 - 4*o**3. Factor n(x).\nAnswer: -3*(x + 2)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1627 is divided by 107.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-z + 7*z - 2*z)*((-21 + 38 - 27)*(2 + 0 + 1) + (-3 + 2 - 1)*(3 - 1 - 4)) to h + j*z and give j.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 6488*p - 3091*p + 4768*p as w + o*p and give o.\nAnswer: 8165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0 - 5 - (-4 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -57*n**3 - 6*n**2 + 24*n + 3*n**2 + 36 + 54*n**3 + 0*n**2 = 0.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 74, 73, 68, 59, 46?\n\"Answer: -2*o**2 + 5*o + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -721 rounded to the nearest 10?\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 + -4)\/(0 - 1). Let f(u) = -2*u + 2 + w - 6 + 6*u**2. Is f(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 70\/3 and 275\/(-13 + 38) + 7 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 51? (a) 0.01 (b) -35 (c) 1 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i + 14. Let b(z) = -5*z + 21. Let d(l) = -5*b(l) + 7*t(l). Let c be d(3). Solve c*s - 3*w = 7, -2*s + 3*w - 3 = -13 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 1047*f**2 + 721*f**2 - 1773*f**2 - 2. Let w(b) = -4*b**2 - 3. Calculate -6*i(g) + 5*w(g).\nAnswer: 10*g**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-8 - -10) + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 - 10*z**2 + 5*z + 6. Let s be u(-11). Suppose 9*c - 12*c + s = 0. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61537763 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes after 1:01 PM?\nAnswer: 3:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9}. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - 27\/12)*-436. Let z = d + -65. Does 22 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**2 - c + 2. Give h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -82, -0.164, -3, 0.15 in decreasing order.\nAnswer: 2, 0.15, -0.164, -3, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-231)\/(-44) - 1\/4. Suppose j - 8 + 4 = 0. Suppose -j*v - 5*z + 2 = -0*z, 5*v = f*z + 25. Calculate the highest common divisor of v and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -5*d - 8, -2*m + 7*m - 7 = d. Let b be d\/4 - (-99)\/(-6). Let c = 24 + b. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-11242)\/(-35) - (-2)\/(-10). Let y = m + -297. Solve -4*u + 5*l + y = -5*u, 0 = -3*u + 5*l + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*1)\/sqrt(9) - (sqrt(13) - (sqrt(13) + 5*sqrt(325))**2).\nAnswer: 8788","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-51)\/(-68) + (-403)\/4. What is y rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + -1.37. Let s = j + 1. Let z = 0 - 1. What is the third biggest value in 2, s, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {u: 2, k: 1, w: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4898554\/349 + 14036. Let m = 14129\/6282 + r. Calculate the common denominator of 35\/24 and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 10:24 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**2 + r**2 - r**2)*(-7 + 20 - 9)*(12 - 10 - 8) - 3*r**2 + r**2 + 4*r**2.\nAnswer: 98*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 53*k - 55*k = 13*w - 73, 5*w - 5*k = 5 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, 3, 29\/3, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 40*o**2 + 8*o + 2. Suppose 22*k + 36 = 26*k. Suppose 11 = k*q - 52. Is w(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 4*w + 4*d, 63*d = -4*w + 61*d + 68. Solve -w*k + 33 - 1 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458028562?\nAnswer: 2, 17, 73, 587441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, i: 13, d: 1}. Give prob of picking 1 g and 2 i.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4016257 to 2 decimal places.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-430)\/((-9672013)\/644800 - -15). Round x to the nearest one hundred thousand.\nAnswer: 21300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1509177.38 to the nearest one hundred.\nAnswer: -1509200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6*c - 8 = 0. Let o(i) = 12*i - 10. Is o(c) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pv when two letters picked without replacement from vvvvvvvpvpvvvvpvvp.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -31643604 (base 7) in base 15?\nAnswer: -385036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2933257111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 47*g**2 - 41*g - 1581. Calculate t(44).\nAnswer: 2423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(19)*1*4 + 1)**2 + 4 - (-6*((sqrt(475) + 1)*2 - (sqrt(475) + 1 + 5)))**2.\nAnswer: -10071 + 1480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16329 times -23206?\nAnswer: -378930774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 420, 844, 1270, 1698, 2128?\nAnswer: 2560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 12*u**2 - 12*u + 15. Let j be (-22)\/4*1*(-27 + 25). Determine o(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + 5*c**2 - 6*c - 18. Determine t(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d*d*d**2*d)*d)**37\/(((d**(-1\/7)*d)\/d)\/d**(-4))*(d\/d**(-2\/3)*d)**(4\/23)\/((d*d**(-6))\/((d**(2\/5)\/d)\/d)) assuming d is positive.\nAnswer: d**(-446759\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5251 - -5296. Solve q*n = 41*n + 2*k - 12, -n + 19 = 5*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 6:04 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w. Let q(r) = 2*r - 8. Let t(f) = -3*l(f) - q(f). Let z be t(-6). Suppose -z*c - c = 0. Put 5, c, -3 in decreasing order.\nAnswer: 5, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s + 12 = -9*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*c - 18*c - 46 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p + 1 + 0 + 2. Let k(w) = -7*w + 5. Let i(b) = 3*k(b) - 5*u(b). Let g(t) = 18*t**2 + 13*t**2 + 10*t**2 - 50*t**2. Give g(i(j)).\nAnswer: -9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 860 - 857. Determine b so that 18\/7*b**c + 0 + 3\/7*b - 12\/7*b**2 + 3\/7*b**5 - 12\/7*b**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48720\/(-2668) - (-27 + 9)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxdddxddxddddddd. Give prob of picking 2 d and 2 x.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n = -n. Solve 6*v - 4*v = n for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -3*w - u - 4010, 2*u = -3*w + 12025. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - y**2 + 5*y - 2. Let k(l) = -4*l**3 + 8*l**2 - 30*l + 180. Determine -6*f(z) - k(z).\nAnswer: -2*z**3 - 2*z**2 - 168","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 9) + 6 - 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -151166275273 + -23.98.\nAnswer: -151166275296.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558 and 21762.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 3) + 1 + (-1 - 4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -f**3*h*p*x**2 - 230*f**3*h*p - 28*f**3 - 3*h*x**2 wrt p?\nAnswer: -f**3*h*x**2 - 230*f**3*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 200728737*m**2*n**3 + 23*m**2*n**2 - 4*m**2*n - 41*m**2 - 2*m*n**2 - m - 2202*n wrt n?\nAnswer: 1204372422*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = d + 2. Let o(n) = 11*n**2 - 25*n - 6. Let f(u) = 31*u**2 - 74*u - 19. Let z(k) = 6*f(k) - 17*o(k). What is the units digit of z(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 4*h**2. Let k(t) be the second derivative of 0*t**3 + 0*t**2 + 1\/12*t**4 - t + 6. What is -j(p) - 4*k(p)?\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*q**2*v**3*x - 79*q**2*v**3 + 7*q**2*x - 556*v**2 - x wrt v.\nAnswer: 36*q**2*x - 474*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 3. Let o be 5 + 2*(p + 0). Find the second derivative of 2*g**5 - o*g**5 - g**5 + 2*g wrt g.\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 600 and 25725.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a minute in seconds?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/36)\/(-12*29\/(-28188)).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -3, -6\/11, 4\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (0 - (-2)\/2). Let a be -5 + (-2)\/(-3 + q). Let k be a\/(-14) + 108\/(-231). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7831619 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*o - 5 + 18, 5*o = 5*x - 75. Calculate the smallest common multiple of (-2)\/(-16) - (-350)\/x and 70.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of t**6\/120 - t**5\/20 + t**4\/8 - 2*t**3\/3 - t**2. Suppose -3*m - 3*l - 7 = -28, 2*l + 7 = 5*m. Determine k(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2 - 0)*(-9)\/(-24)*4. Suppose 0 = 4*x - 3*b + 10, -8 = z*x - 0*x - 2*b. Let q(t) = 3*t**3 - 8*t. Let p(w) = 2*w**3 - 7*w. Calculate x*p(j) + 3*q(j).\nAnswer: j**3 + 4*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 5*u**2 - u - 23. Let v = 418 + -412. Let k be i(v). Solve k*a = 10*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 972.34 millimeters to meters.\nAnswer: 0.97234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 493 - 485. Solve 11*f - r = 9*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 91677455?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rerrrrerrr. Give prob of picking 2 e.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 89?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a hour?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 - 1 - 2)*(-24 + 73*k + 61 - 35)*(-3 + 0 + 2).\nAnswer: 876*k + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -2*w**2 + 4*w + 2. Let t(z) = 4*z**2 - 9*z - 4. Suppose -3*x = -6*x - 27. Let c(m) = x*a(m) - 4*t(m). Calculate c(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 4:58 AM?\nAnswer: 5:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 29, -513, -2, 1?\nAnswer: -513","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -9. Let i = 7.8 + d. Sort 2\/3, i, -2 in decreasing order.\nAnswer: 2\/3, i, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 266, 328, 496, 824, 1366, 2176, 3308, 4816?\nAnswer: 6754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -132 - (-19 + 35 - (6 - -9) - 13).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (0 - -2) - (-22 - -22)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 10:28 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 1829*o**8\/112 + 721*o**4\/2 - 378*o**2 + 9*o. Find the second derivative of h(j) wrt j.\nAnswer: 109740*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -177905*d**2 + 4*d - 1395143 wrt d?\nAnswer: -355810*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1788738006?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14609 is divided by 78.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4209563 or 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a factor of 37027490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 1:10 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 9*c - 17. Let a = -85 + 77. Let o be p(a). Find the common denominator of -93\/20 and (-948)\/56*3\/o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (59 + -76 + 4 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 844 > 1689\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1458.733561 - 0.5\nAnswer: -1459.233561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -64*s**4\/5 - 22608*s**3\/5 + 3396*s**2 - 4247*s\/5 + 354\/5 = 0.\nAnswer: -354, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 4*b - 188, 2*l = 2*b + 76 + 112. What is the remainder when l is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 4*z - 2. Let h be l(1). Let i(v) = v**3 - v**2 + v - 1. Calculate i(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1174, 1206, 3, -3 in descending order.\nAnswer: 1206, 1174, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.417 and -3.893.\nAnswer: -4.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 631.3227mg in kilograms?\nAnswer: 0.0006313227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:17 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 152 - (132 + -24) - -55.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 2*i - 9*i + 6*i)*(3 + 4 - 4).\nAnswer: -3*i - 69","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (51 - 12*d - 51)*(10*d + 21*d + 11*d) to c*d + g*d**2 + x and give g.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 + -3. Suppose 3*q + 9 = 0, 3*a - 1 - k = 3*q. Calculate the highest common factor of a and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2*t - 1. Suppose 5*i = -g + 25, 2*g = 2*i - 0 - 10. Suppose g = -2*y + 7*y + 10. Give l(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1329860 to the power of 1\/3, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59 + 94. Let j be (-10)\/(-4)*42\/t. Let c be j*5\/(-30)*-58. What is the highest common factor of c and 319?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -3*h**2 + 4*h - 5. Let f be l(3). Let u(x) = x**3 + 30*x**2 + 23*x + 3. Is u(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9428100 a multiple of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 405 and 225?\nAnswer: 2025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16540 - 21?\nAnswer: 16516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-81)\/(-6)) + (-3324)\/1080 + 3?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-21)\/u**(-6))\/((u*u*u**(-25))\/u**(4\/7)) assuming u is positive.\nAnswer: u**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13606*u + 25891*u + 18448*u - 3701*u + 29629*u.\nAnswer: 56661*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1857 - -1857.0757. Round o to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 12 + 2 = -3*g, -3*g + 31 = 5*l. Solve 0 = 2*d + g, 2*z - 2*d + 2 = -2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v**2 + 505*v - 40*v**2 - 1017*v + 512*v + 8*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, q: 1, m: 1, e: 1, w: 1}. What is prob of picking 1 m and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11073?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 62*r - 292. Calculate y(4).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/10 - 166049*p = 0. Calculate p.\nAnswer: -1660490, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 divided by -15?\nAnswer: 14\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 12:49 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 44809893367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 l when three letters picked without replacement from nlln.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 18*b = -13*b + 50 + 1780 for b.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294 = 12*d - 0*d - 498 for d.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1932 and -22\/1127?\nAnswer: 13524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + f**2 + 1. Let x be 3*1\/3*3. Let c(q) = -4*q**3 + 6*q**2 - 6*q - 4. Let n(r) = x*i(r) + c(r). Is n(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o\/o**14*o*((o*(o*o\/(o*o**12\/o*o))\/o)\/o)\/o*o*o*o assuming o is positive.\nAnswer: o**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/3*(-24)\/(-104). What is the closest to 2\/5 in -5, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, a: 3, k: 11}. What is prob of sequence auk?\nAnswer: 11\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**3 + 25*x**2 - x + 6. Suppose 2*j = -5*j - 175. What is the units digit of i(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, -1\/8, -14, 3, 9253, 7 in decreasing order.\nAnswer: 9253, 7, 3, -1\/8, -1\/5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -83, -164, -241, -314?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 4 = 3*u. Let g(q) = -q + 1. Let s(c) = 2*c - 5. Let f(z) = u*g(z) - s(z). What is the first derivative of f(v) wrt v?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.38 - -15.6206. Let r = u + -4.3. Let p = 28.7594 + r. What is p rounded to 0 dps?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 + 52*j**2 - 99*j - 71. Is l(-42) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347*u**2 + 2 - 1 + 2*u**3 + 1011*u**2.\nAnswer: 2*u**3 + 664*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11499591 is divided by 227.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b - 90. Let q be i(27). Is 11872\/q + 6\/(-27) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i**2 + 706*i + 124609 = 0. Calculate i.\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 100000011 (base 3) to base 9\nAnswer: 10004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 - 23. Calculate the least common multiple of 8 and (-10)\/4*(-1 - r).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 83?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 25732?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -69.99798 - -70. What is r rounded to 4 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (-5)\/((-4)\/(-4)). Suppose -4*z + 15 = -p, -b*p - 7 = 3*p - 3*z. What is the units digit of 4 + (p - -35) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -27344?\nAnswer: -5\/27344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.14*124611.3\nAnswer: 17445.582","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 456 = 5*q - 2*k, -4*k + 100 = -2*q + 3*q. Is 4 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 2 + 22 + -12?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528463 is divided by 105582?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1290139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 + 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1296 - -3.\nAnswer: 1299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -53\/6081, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 285831 a multiple of 273?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68\/(-18) - ((12 - 7) + -9).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3732 - -41?\nAnswer: 3773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-56))\/(((-5)\/120)\/((-9)\/(-27))).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/14 and -117\/6839210.\nAnswer: 6839210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 169 - 182. Suppose 5*j - 80 = -k, -2*k - 32 = j - 3*j. Let c = x + j. Solve 2*f + c = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18*(-5)\/(-280)*(-35)\/(-30).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -60. Let o = n + 32. Suppose 2*t = o*t - 576. Is 24 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 7*i**5 + 535*i**4\/4 + 785*i**3 + 2345*i**2\/2 + 490*i + 4536. Factor p(q).\nAnswer: 5*(q + 1)*(q + 7)**2*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 330 divided by 66?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcpl when four letters picked without replacement from ccclcpcpclccc?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -132 - -171 - (5 + 19 - 5)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 9, 11\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 70*g - 2 + 2 - 84*g to n + z*g and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4428285 to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-5)\/10 + 4. Let r(p) be the first derivative of 6 + z*p**2 + 3\/4*p - 3\/4*p**4 - 1\/4*p**3. Solve r(q) = 0 for q.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y + 2*h - 22, -3*h - 44 = -2*y. Let u = y - 10. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50233649159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 91187?\nAnswer: 67, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4533091, 4533099, 4533107, 4533115, 4533123, 4533131?\nAnswer: 4533139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-112))\/(2\/8) - (-315)\/588.\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-6))\/(138\/(-1863)). Calculate the greatest common factor of s and 147.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(651\/(-6)) + (229568\/(-8928) - -25)?\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 9 + 10*j)*(j + 2*j - 2*j + (-1 + 1 + 1)*(-2 + 2 + j) + 5*j - 2*j - 5*j + 0*j - 2*j + j).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = -0*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 9) to base 4.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**2 + f + 1. Is o(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 81, 49, -101, -375, -779?\nAnswer: -1319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34811 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 3*b**2 + 6*b - 7. Let y be q(5). Let r be (6\/5)\/(y\/(-90)). What is the greatest common factor of r and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 - 29. Is r a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 + -6. Let b = o - -157. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, n: 2, p: 2, u: 2}. Give prob of picking 2 n.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 + (18 - -32) + -24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((29 - 2)\/3)\/(15\/130). Suppose 103 = 5*t + b. Suppose t*v - 1436 + 558 = -3*n, -v + 1478 = 5*n. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 588\/16 - 3\/(-12) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 10. Solve -4*w + 3*f + 11 + 3 = 0, t*f = -w + 9 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + 4 - 12, -5*f + 1417 = q. Let j = f - 152. What are the prime factors of j?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - 2*n + 2*n**3)*(-1 + 2 - 4) + (-5 + n + 5)*(5*n**2 - 3*n**2 - 4*n**2).\nAnswer: -8*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*b + 88355, -5*s + b = -s - 176759. What is the ten thousands digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*o + 4*g + 8, 0 = -5*g. Let m be o*-5*(3 + -5). Is 5*(-9)\/(-75) + 434\/m a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1695 and 13005735?\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2858 and 1556874065?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -32 and -29 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3761*(-2)\/4*4. Suppose -10*b + 12098 + q = 0. Round b to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -430 - 1154. Let f = s - -52. Let u = 43 - f. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 6785*c - 2238530.\nAnswer: -5*(c + 566)*(c + 791)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 424309 and 56.\nAnswer: 23761304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c**8\/112 - 3*c**4\/8 + 3*c**2\/2 + 6. Let d(k) be the second derivative of r(k). What is the second derivative of d(i) wrt i?\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from {u: 6, b: 3, k: 1, x: 3, t: 1, a: 5}.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.42546 rounded to one decimal place?\nAnswer: 18.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2 - 2. Let x(i) = -60*i**2 + i + 10. Let z(h) = 6*g(h) + x(h). What is the second derivative of z(o) wrt o?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.28 + 1.77. Let i = 22.05 - 22. Let p = h - i. Put p, -0.3, 0 in descending order.\nAnswer: p, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 3*v + v + (-5*v + 0*v + 3*v)*(1 - 3 + 0) - 1 - 3 + 2 - v)*(48 + 35 + 85).\nAnswer: 336*v - 336","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10213 + -11?\nAnswer: 10202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1550*d - 4. Let j(f) = 5*f. Determine j(y(k)).\nAnswer: 7750*k - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155069 - 104583 + 26791 = -2954*i - 23127 for i.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142522001 + -4?\nAnswer: -142522005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 100724, 201450, 302176?\n\"Answer: 100726*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/2*(-4)\/(-26)*13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1415261 (base 9) to base 2\nAnswer: -10111101111101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 225718*j**2 + 0*j**3 - 225718*j**2 + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -7, 41, -6, -2, 0 in decreasing order.\nAnswer: 41, 0, -1, -2, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 6 - 4. Suppose -m*t + 25 = -4*d, 3*d + t = -0*d + 5. Which is smaller: d or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-1) + 37 + -4. Suppose 10 = -k + v. Solve -7*s - k = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.05791 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 + (14 - 36) - 6) + 0 + -3.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 70740 by -180.\nAnswer: -393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 14652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 + 8*w**2 - 5*w + 7. Let h be f(7). Suppose 6*u = 7*u - h. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3143575 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 55\/2. Determine y, given that -i*y - 1\/2 - 3\/2*y**2 - 1\/2*y**3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3749)\/(-978)*40\/(-230)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66756 is divided by 834?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4744352*q**3 + q**2 - 33960785 wrt q.\nAnswer: -14233056*q**2 + 2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143042 + 216615. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 240 or 239?\nAnswer: 240","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 5*k**2 + 5*k**2 + (-3*k**2 - 2*k**2 + 4*k**2)*(-3 - 4 - 3) + (-4 + 4 - 4*k)*(-2 + 2 - 2*k).\nAnswer: 17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/133736 and 27\/32.\nAnswer: 534944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 117674.\nAnswer: 2, 17, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - 17*l - 3. Let b be u(7). Suppose 2*w + 2 - b = 0. Let r = w - 27. Does r = 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 16*h**3 + 18*h**2 + 2*h + 1. Let g(o) = 7*o**3 + 6*o**2. Determine 5*g(u) - 2*q(u).\nAnswer: 3*u**3 - 6*u**2 - 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/4*(-32)\/12. Let o = -1 + r. Suppose 0 = -i + 5*h + 44, 4*h = 4*i + o*h - 176. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 918622 is divided by 29.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 170 + 3468*j - 337 + 167 in the form b*j + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 - 6\/(13 - 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 8*d**3 + d**2 + 7*d - 8. Let a be i(1). Suppose a*k = 13*k - 31885. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**5 + 9*j**4 + 216*j**3 + 756*j**2.\nAnswer: -j**2*(j - 21)*(j + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 15*b**2 + 2*b + 1. Let p be (9\/3)\/((-4)\/(-20)). Is w(p) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(((((c*c*c*(c\/c**3)\/c)\/c)\/c)\/c)\/c)\/c*c*c*((c*c\/c**3*c*c)\/c)\/c*(c**(-2\/7))**50 assuming c is positive.\nAnswer: c**(-121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -3 - t + 2 + 6. Let g(j) = -2*j + 11. Let r(i) = -4*g(i) + 9*k(i). Suppose 5*h + 14 = -11. Calculate r(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssjwswsoshwsswssp. Give prob of picking 1 w and 1 o.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 10*n**2 - 8*n - 1. Let y be q(-8). Let r = y + 144. List the prime factors of r.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1364\/(-1860)*35\/14)\/((-2)\/((-12)\/(-3)))\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -54926 <= -219699\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1226?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 319*j - 4. What is m(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a - 6. Let r(x) = -x - 1. Let q = 16 - 11. Let p(y) = q*r(y) - i(y). Let g be (-2)\/6 + 4\/(-6). What is p(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/27 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**3 - 5*c**2 + 34*c - 8. Let f be w(12). Is f + (-18)\/4*(-12)\/(-18) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -15 (b) 0.5 (c) 8 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2\/455 + 68\/455. Let w be 1\/(-3)*(-6 + 0). What is the closest to 1 in -2\/5, w, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70567631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376 - 24511*z**2 - 198 - 178 - z**3.\nAnswer: -z**3 - 24511*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-36))\/((-2)\/6)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 245*i - 468. Is m(19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/6)\/(15\/(-6)). Let r = 0.01 - 5.01. Let v be (1 - 0) + (-1)\/7. What is the biggest value in v, y, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -5*z + w, -8 = -3*z + 2*w + 33. Suppose -o + 5 = 2*r - z, 3*o = -4*r + 60. What is the greatest common factor of o and 128?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(2*x + 4*x - 4*x) + x - x + x + 28*x - 494 - 4*x - 7*x - 15*x.\nAnswer: 5*x - 494","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**4\/13 - 538*s**3\/13 + 4950*s**2\/13 - 14958*s\/13 + 15012\/13.\nAnswer: -2*(s - 3)**3*(s + 278)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 4*l - 3. Let u(n) = 3*n. Let r be u(l). Let c be (25\/(-4))\/(r\/(-33600)). Round c to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**7\/42 - z**6\/8 - 25*z**5\/12 - 35*z**4\/8 + 2*z**2 - 723. Factor t(n).\nAnswer: 5*n*(n - 7)*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 154 and 66.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -549815 divided by -805?\nAnswer: 683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by (-3)\/((-9)\/12)*1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -3*v - 54. Calculate i(-11).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 1 = -o - 2, 3*o = -2*w - 19. Let t = -130847 - -130850. Sort -3, o, 1, t in increasing order.\nAnswer: o, -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**14\/d**27 assuming d is positive.\nAnswer: d**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 8:01 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -13 in -2\/3, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -13, 5, 0.7, 0.1, 13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l**2 - 2*l + 3. Let a(u) = -2*u**3 - 2*u**2 - 6*u + 14. What is -2*a(o) + 7*k(o)?\nAnswer: -3*o**3 - 3*o**2 - 2*o - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1395*z**5 - 2*z**3 - 1819*z**2 - 1 wrt z?\nAnswer: -83700*z**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -401 bigger than -401?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wooq when four letters picked without replacement from {a: 10, o: 4, q: 3, w: 1}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 1:52 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 65*y - 1188 + 408 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7640?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/63)\/((-1)\/(-1))*(-82)\/(-123)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 17\/7 + 84\/147. What is the second derivative of 18*u + 3 - 3*u**3 - u**a - 9*u**4 - 4 + 36*u wrt u?\nAnswer: -108*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 8:29 PM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/7 - 81*d**2 + 5103*d - 107163.\nAnswer: 3*(d - 63)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 12*v + 366. Let x be h(26). Let c(f) = 2*f**3 - 3*f**2 + 2*f - 4. Calculate c(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15225833?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -5, 4.\nAnswer: -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-6)\/(-2)*(-12)\/((-924)\/143).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2301 + -12?\nAnswer: -2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 48012539.4 seconds?\nAnswer: 79.3858125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*z**2 + 0)*(z - z + 2*z**2 + (z**2 - z + z)*(-3 + 6 - 4) + 2*z**2 + 1 - 1 + 8*z**2 - 5 + 5).\nAnswer: 22*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*7*(-21)\/735.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*z + 93*z + 6 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5071*q + 6566 = -4232*q - 26606 - 18846 for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiiiiiiioi. Give prob of picking 2 o.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from frbfrbebfrrrfbbfrrfb. What is prob of picking 3 b and 1 f?\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, q: 10}. What is prob of picking 4 q?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1*(sqrt(2) + sqrt(32) + -3))**2.\nAnswer: 20*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38478563?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5766\/52711 or 1?\nAnswer: 5766\/52711","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 70 + -36. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(480)\/(sqrt(12)*1))\/(-6*sqrt(72)))**2.\nAnswer: 5\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2423, 6766, 14015, 24176, 37255, 53258?\nAnswer: 72191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/9, -0.07, 1692\/5, -2?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 j, and 1 q when three letters picked without replacement from zzjzzzzqzzzjjzjjrzzz?\nAnswer: 13\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -40, -57, -86, -133, -204, -305, -442?\n\"Answer: -w**3 - 10*w - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324469.\nAnswer: 324469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 285 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2724 is divided by 1292.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9464 - -6776. What are the prime factors of o?\nAnswer: 2, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 114 = -5*y + 2*y, 0 = 9*s - 14*s - 4*y - 127 for s.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -10774158.145 to the nearest 10000.\nAnswer: -10770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 721451 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 138 + -118. Solve 0 = s + 4*b - 5, 0*s - a = -4*s - 2*b for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gsggigiisiixsgsv. Give prob of picking 2 s.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -2) + -6 + 2 - (-64 - -56).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -39 - 28 - w**2 + 4*w**3 + 2*w + 72 + 5*w**2. Let n(a) = 5*a**2 - 3*a**2 + 5*a**3 + 2*a**2 + 3*a + 5. Let d(c) = 3*n(c) - 4*v(c). Give d(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l**2 + 4*l - 12. Let q(b) = 9*b**2 + 3*b - 11. Let s(u) = -4*q(u) + 3*y(u). Let t(o) = -10*o**2 + 9. Give 7*s(d) - 6*t(d).\nAnswer: -3*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6b7b3b - 36?\nAnswer: 6b7b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = n + 41. Solve 4*l - 2*l = -4, 4*l + 28 = -n*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 10*v**2 - 7*v - 10. Let c be w(9). Let k be (-12)\/48 - (-42)\/c. Suppose 3*p + k*m + 5 = -p, 20 = p - 3*m. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 4*l**2)*(2*l + l - l) + (6*l - 3*l - 5*l)*(-4*l**2 + 4*l**2 - 2*l**2) + 3*l**3 + 2*l**3 - 6*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-8164)\/(-2704) - (-3)\/(-12) - 2. Which is smaller: g or -200?\nAnswer: -200","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = -2. Suppose 0 = -0*q + d*q - 30. Suppose -60 + q = -3*i. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.061901 and 0.1?\nAnswer: 1.961901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + 5. Let s = -232 - -243. What is the least common multiple of x and s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00873 + 12893?\nAnswer: 12892.99127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -80, -271, -558, -941, -1420, -1995?\nAnswer: -2666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -191237 - 231488. Let j = g + 219817067\/520. What is the common denominator of j and 43\/10?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, d: 3, q: 2, t: 1, l: 3, c: 7}. Give prob of sequence qncd.\nAnswer: 7\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -1872*n**3 + 0 + 25*n**2 - 2 + 1870*n**3 as l*n + w*n**3 + o + y*n**2 and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p**2 - 45*p - 21. Let m be l(-22). Let f(x) = 294*x**3 - x**2. What is the hundreds digit of f(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, 1, 5, 13, 744, 2.\nAnswer: -18, 1, 2, 5, 13, 744","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1758 in -0.3, -73.5, -2, -5, 5?\nAnswer: -73.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-198)\/(-21) + 6\/(-14). Suppose -3 = 3*o - r. Suppose -o*n = -78 + 2. Is 19 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 16*h + 15. Let q be (5 - 13) + (0 - 7) + 2. Determine c(q).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15084?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 < 11288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 1756 = 1764 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -4*k + 3*o, 0 = -162*k + 163*k - 2*o - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/d**(-8)))\/(d**5*d))\/((((d\/(d*d*(d*d**(3\/5))\/d*d))\/d)\/d)\/d**(-14)) assuming d is positive.\nAnswer: d**(-117\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7023721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bco when three letters picked without replacement from {o: 2, k: 2, g: 3, q: 6, c: 1, b: 1}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*c**2 - 95*c + 95*c.\nAnswer: -116*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241 = -5*s + 11*x - 12, 2*s + 5*x + 2*x - 27 = 8*x for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119))\/sqrt(7) + (-6*(0 + sqrt(17)))**2.\nAnswer: -sqrt(17) + 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -445 - 441 + 886 + m**2 + m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 338 - 240. Let r = 278 - z. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -56f7 - b9?\nAnswer: -57b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7196.\nAnswer: 2, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32024304?\nAnswer: 2, 3, 13, 17107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10.1 - -17. Let i = -6.90111 + d. Round i to four dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.0698?\nAnswer: 0.0698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**0*w)**0*w**(-1\/13)\/w**(-6))**(-2\/39) assuming w is positive.\nAnswer: w**(-154\/507)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4073 divide 1776987838?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(128) + (sqrt(128) + 4 + -1)**2.\nAnswer: 56*sqrt(2) + 137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**3\/17 + 44*k**2\/17 - 146*k\/17 + 100\/17.\nAnswer: 2*(k - 2)*(k - 1)*(k + 25)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 2533385?\nAnswer: 7600155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of -946585719 and -1637.8.\nAnswer: -946587356.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h. Suppose u = -u + 6. Let t(l) = l**2 + 8*l + 10. Let z be t(-7). Suppose u*p - 1 = -5*i, 5*i + z = 5*p + 28. Determine f(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c. Suppose 8*l + 5*f - 4 = 7*l, 4*l - 5*f - 16 = 0. Let w be 15\/(1 - -4) - l. Let r(t) = 8*t + 2. Calculate w*r(j) + 12*p(j).\nAnswer: 4*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1497 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1064)\/(-10))\/2 + (-18)\/90. Let p = 7 - -29. Let i = l - p. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 24*c**2 - 44*c - 2. Calculate g(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.06 (b) -0.3 (c) 1.1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nkk when three letters picked without replacement from ngcncnngkcnnkgnkn.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpspp. What is prob of sequence vp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 3*n. Let k be i(2). Find the second derivative of -4*o**2 - 18*o + 0*o**2 + o**k + 17*o**2 wrt o.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-10)*4\/49\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 3*m + 276. Let s(x) be the third derivative of x**5\/30 + x**4\/8 - 11*x**2. Calculate the remainder when f(17) is divided by s(-4).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 + 11*l**2 + 13*l - 7. Suppose -4*h + 5*v = -73, 4*h = 2*h - 2*v + 14. Let s be y(h). Let t(k) = s*k**2 - 2*k + 4 - 1 - 2. What is t(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.2. Let i = u + 0.3. Let x = 1.2 - 1.5. Which is bigger: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2038575 + -0.042.\nAnswer: -2038575.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 49.53865 litres?\nAnswer: 49538.65","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/2*8\/(-3). Let y(s) = -6*s**2 + o - 2*s - 17 + 9 + s**3. What is y(6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30506, -31250, -31994, -32738, -33482?\n\"Answer: -744*s - 29762","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37.10109 + -0.22909. What is k rounded to 0 dps?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1583 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -288 - -289. Let z(j) = 6*j**2 + 5*j - 7. What is the least common multiple of z(a) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007433 to seven decimal places.\nAnswer: -0.0000074","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 33? (a) -0.4 (b) 5 (c) 2\/63 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from ullfofh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 13) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 4*z**2 - z + 2. Give w(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 100*h**2 + 15*h + 14. Let w be x(-1). Let d = 299\/3 - w. Let r be 14\/(-8) - 0 - -2. Which is the nearest to d? (a) r (b) -0.01 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 438?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -100, -207, -312, -415, -516, -615, -712?\n\"Answer: d**2 - 110*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 6*o - 1. Let v(d) = -d - 5. Let a be v(-10). What is the remainder when 13 is divided by c(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 0 + 3*m**2 + 0*m - 1\/3*m**3 + 17\/24*m**4. Suppose 60 - 36 = 4*a. Let d(x) = -8*x + 1. Determine a*j(k) + 13*d(k).\nAnswer: -2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/(-3)*(-172)\/((-17544)\/(-102)).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 3*h - 2. Let z be j(-3). Let w be (-1 - z) + -303 + 1. Let t = w - 249. Round t to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0.7. Let w = t + 3. Suppose 6 = 3*r + 3. Which is the nearest to -1? (a) r (b) -0.2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3250 and 304203250.\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13620316?\nAnswer: 2, 3405079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - t - 2*l + 8 = 0, -4*t + l = 4. Solve 4 = c - t*c + j, 4*c - 2*j = 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 38649205 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*s - 27 = 0, s = 3*k + 5*s - 111. Let l be ((-2)\/4)\/(k\/(-4)). Suppose 16 = 2*m - 3*f, 5*f - 16 = 3*m - 43. Is l at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/5 and -36\/967.\nAnswer: 4835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 322 = 849. Suppose 16*a = -319 + n. Solve a + 2 = 5*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-4 - -4 - (-1 + 1)). Solve 0 = -10*m + n*m + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**4 + 0*p**4 - 2*p**4)*(3 - 5 + 1) - 2*p**4 + 0*p**2 + 0*p**2 + p**4 + 0*p**4 + 9*p**4 - 2 + 7 - 3 + 2*p - 4*p**4.\nAnswer: 5*p**4 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 15*k**2 - 3673*k + 3173. Determine i(244).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 7*v**2 - v + 2. Suppose j = -1 + 3. Let w be f(j). Suppose 4*a = w + 12. Calculate the greatest common factor of 15 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - -1. Suppose -d + 5*g - 20 = 0, l*d = 3*d - 2*g - 88. Let q = 4 - d. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 - -38) + (-1 + 4 - 21)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**3 - 19*x**3 - 14*x**3 - 3*x**2.\nAnswer: -22*x**3 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 832 and 1568.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14? (a) -2\/13 (b) 5 (c) 0.5 (d) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v - 2*v + 8*v - 5)*(-63*v + 352*v + 178*v) to the form x + j*v**2 + u*v and give j.\nAnswer: 934","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**(-18))\/u*u\/((u\/((u*u**(-12\/11))\/u))\/u)*u*u*u)**32)**(-7) assuming u is positive.\nAnswer: u**(-53984\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*i - i - n, -3*i + n = 3. Suppose -3*r + 5*u + 12 = 0, 2*r + 3*u - 20 = -12. Solve z = m, r*m + i*m = -z for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 39, 80, 149, 252, 395?\nAnswer: 584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -j, 0 = 5*a - 5*j + 11905 + 5295. Let f = a - -6784. Let d = f - 13291\/4. What is the common denominator of d and 71\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11099, -11077, -11053, -11027, -10999, -10969?\n\"Answer: j**2 + 19*j - 11119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77337?\nAnswer: 3, 13, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 46, -0.033, 5, -0.14, 9 in increasing order.\nAnswer: -0.14, -0.05, -0.033, 5, 9, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5. Let v(p) = -p - 4. Suppose 7*o + o + 32 = 0. Determine o*v(q) - 3*z(q).\nAnswer: 4*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 + 18. Let u be (17073 + c)*(1 - 0). Suppose -u = -5*j - 93573. What is j rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 13\/8 of a gram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 60 = 48. Suppose 20 = 5*p - v, -5*p + j*p = 5*v + 19. Factor -1\/5*a**p + 0 - 1\/5*a - 2\/5*a**2.\nAnswer: -a*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325 - 395*i - 330*i + 727*i.\nAnswer: 2*i + 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 36*k**2 + 162*k + 161. Calculate j(-1).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**2\/5 + 7894*d\/5 + 76881.\nAnswer: (d + 49)*(d + 7845)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*-1*(-3)\/(-3). Let m = 146\/5 + -29. Which is greater: m or t?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (82\/(-18) + (44 - 40))*(7241\/(-520) - -14).\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1709956?\nAnswer: 2, 29, 14741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 567*c**5 + 24*c**4 + 12*c**3 - 569*c**5 - 34*c**4.\nAnswer: -2*c**3*(c - 1)*(c + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/12*4\/3. Let l be (-38)\/(-10) + (-5)\/(-25). Solve m + 10 = l*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 4*y = x + 191, 0 = 2*x + 5*y - 73. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d**3 + 6*d**3 - 2*d**3 + 677*d**2 - 236*d**2 to the form s*d + n*d**3 + c*d**2 + z and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 15) in base 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 3)*(0*l + l + l) + (-1 + l + 1)*(-34 + 66 + 56))*(4 - 4 - 2*l**4).\nAnswer: -184*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -7920 divided by 60?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86 or -46466?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*d**3 - 1\/5*d**4 + 0 - 12\/5*d**2 - 8\/5*d.\nAnswer: -d*(d + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 3*y**2 + 2*y. Let f be s(4). Let u(q) = -q**3 - 6*q**2 + 9*q + 11. Is 16 a factor of u(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22*1*13\/(-26). Calculate the common denominator of (-8)\/(-736)*a*(1 - -6) and 13\/22.\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 27. Suppose -3*r = -5*l - 24, -370 + 410 = -5*l - 5*r. Determine s(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 620 divide 516279580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -3*g + 18, 0*h = -g + 3*h + 14. Suppose g*o - 364 = -2*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -104.30453 to 0 decimal places.\nAnswer: -104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/127 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + (2*sqrt(2299)*1 - ((-4 + sqrt(2299) + sqrt(2299) - sqrt(2299)) + -4))*1)*-2)**2.\nAnswer: 13200*sqrt(19) + 233500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 71\/210*c**7 - 33*c**2 + 0*c**5 + 0*c**6 + 0 + 5\/12*c**4 + 0*c + 0*c**3. Find the second derivative of h(p) wrt p.\nAnswer: 852*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 y when two letters picked without replacement from {v: 1, s: 1, y: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1270 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/104 and -133\/12.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12609469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 = -3*y - 184. Suppose 3*c = 4*o + 22, 3*c + c + 3*o = -4. Suppose w = c*d - 7, -2*w - w + 5*d - 22 = 0. Is w != y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 254075?\nAnswer: 254074.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 13.98883 millilitres?\nAnswer: 0.01398883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49853\/5 + 9973. Factor 0 + 12\/5*b**3 + 4\/5*b - m*b**2 - 4\/5*b**4.\nAnswer: -4*b*(b - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24*66\/(-18)*(-3)\/4 is divided by 43.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/9 - 44*u**2 + 3778*u\/9 - 376 = 0. What is u?\nAnswer: 1, 9, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 1751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -171, -345, -519, -693, -867?\n\"Answer: -174*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4466 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 10:33 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 967124.\nAnswer: 2, 241781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3650 - 63*y**3 + 3648 - 130*y**3 + (-4*y + 5*y + 2*y)*(2*y**2 - 5*y**2 + y**2).\nAnswer: -199*y**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 - -14531?\nAnswer: 14521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of 7*s**2\/2 - 15*s - 36. Let y = -5 + 10. What is the units digit of p(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8428 and 0.3?\nAnswer: 8428.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the second derivative of -k**4\/6 + 4*k**3\/3 - 3*k**2 - 11*k. Let z be q(3). Suppose z*a = -4*a + 20, -3*a = 3*j - 135. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 85 divide 28333321?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-3 - -5))*-7. Suppose 3 = 5*v - k. Let x be ((-11)\/v)\/(16\/(-32)). Calculate the highest common factor of 121 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k. Let b(d) = -18712*d. Calculate b(o(x)).\nAnswer: -37424*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, s: 1, m: 1, u: 9}. Give prob of picking 1 s, 1 u, and 1 t.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 600, 1265, 2064, 3063, 4328, 5925, 7920?\n\"Answer: 11*s**3 + s**2 + 585*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 363697 and 367.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) + -1)*1 - sqrt(252))**2 + (-4*(sqrt(28) + -6*2*sqrt(28) - sqrt(28)))**2.\nAnswer: 64513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence awiz when four letters picked without replacement from ziawuiu?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 + (25 - 33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 997429404 divided by 926979\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152724*r - 152725*r + 7 = 0, 3*k - 2*r + 20 = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-36)\/(-60))\/((-9)\/(-60)). Sort 5, t, -44, 1 in increasing order.\nAnswer: -44, 1, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2\/7, 3, -222, -0.12, -2\/9 in decreasing order.\nAnswer: 3, 2\/7, -0.12, -2\/9, -3, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 34660 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 48267 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3441*y**2 - 5. Let g(f) = -44*f. What is g(z(p))?\nAnswer: -151404*p**2 + 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 7*f**2 - 6*f + 4. Let v(l) = l**2 - 6*l - 2. Let o be v(7). Suppose -15 = -o*w + 15. Calculate k(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 176686984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the first derivative of -r**2\/2 - 5*r + 2. Let c be d(-7). Suppose c*l - 28 = -0*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21114594?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001759 to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3056.04 - -3044. Let p = 45.1 + -50.28. Let c = h - p. What is c rounded to zero dps?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 8 - 26608*v + 2 + v**3 - 5 + 26533*v.\nAnswer: v**3 - 75*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 22. Let u be b(11). Suppose 30*y - 33*y = -132. Calculate the highest common divisor of u and y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + g**2 - g + 5. Let t be a(0). Suppose 2*c - 24 = t*c. Let w = 16 + c. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = 0, -i - 3 = q - 7. Suppose -t - 93 = q*f, 3*t - 167 = 3*f - t. What is f rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6732 and 22?\nAnswer: 6732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uxqwwjqjwluqjqll. Give prob of sequence wlj.\nAnswer: 9\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.703 - 0.2832.\nAnswer: -2.9862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 95, 347, 763, 1337, 2063, 2935, 3947, 5093?\n\"Answer: -n**3 + 88*n**2 - 5*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*i = 28*i - 26. Let t(x) = -x**2 + x + 5. Let g be t(0). Suppose 0 = -3*y - 5*k + 99, 3*y + i*y = -g*k + 175. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 383.8 - 383.8. Which is greater: d or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(39)\/(-3*sqrt(243)).\nAnswer: -sqrt(13)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 9*u**2 + 31*u - 8. Give n(4).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/30, -1, 0, -5, -0.43, -8 in decreasing order.\nAnswer: 0, -1\/30, -0.43, -1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1558918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + g + 1)*(-5*g + 5*g + 2*g) - 1375*g**2 + 2814*g**2 - 2621*g**2.\nAnswer: -1180*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**2 - 634*m + 1481. What is the remainder when 159*(-2)\/18*-3 is divided by p(209)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -11 + -5783001?\nAnswer: -5783012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.3259l in millilitres?\nAnswer: 85325.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*h*m**3*q + 55*h*m**3 + 30*h*m**2 - 2*h*m*q - 43*m**3*q - 8*m**2*q + 4*m**2 - 3*m - 1 wrt m.\nAnswer: 204*h*q + 330*h - 258*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (62 - 50) + (-4 - 1) - (-1 + -20)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 624369 + 600746996\nAnswer: 601371365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*t**2 + 8*t**3 - 8*t + 6*t**2 + 12*t**2 wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531753787 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Suppose d*u - 6*u - 5*w - 11 = 0, 0 = 4*u - 3*w + 19. What is u rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*s**2 + s**2 + 3*s**2)*(-3 + 1 + 0).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 1 - (395 + -406)) + 12?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -163013 (base 7) in base 8?\nAnswer: -76774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 295.8051 millennia to months.\nAnswer: 3549661.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 6, 2*f - 3*j - 8 + 0 = 0. Let c(o) = -1 - 76*o + f + 74*o. Let l(v) = 59*v. Determine c(l(a)).\nAnswer: -118*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -207 - -213. Solve -3*t + p = -9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 0 (c) 2\/15 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2154 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 57780553 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6585 and 8595?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 54163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-82)\/26 + 3\/1. Sort i, 3, -0.2.\nAnswer: -0.2, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/13)\/v)\/(v**(1\/11)\/v)*(v\/v**(-6\/11))\/v*v\/(v*v*v**(3\/8)))**(-18) assuming v is positive.\nAnswer: v**(7893\/572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*j = 140*j + i - 15, 6*i - 32 = j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -2\/15 (b) -8 (c) 1405 (d) 52 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2572228 - -0.2566. What is o rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (18 + -5 + -3)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**2. Let t(x) = -22*x**2. Give m(t(g)).\nAnswer: 2420*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168 = -p - 8*p - 5*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3236 * 0.4\nAnswer: 1294.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.73, -0.3, 63, -2 in increasing order.\nAnswer: -2, -0.73, -0.3, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**6*b*b)\/((b**(2\/3)*b*b*b)\/b))\/((b\/b**(-11))\/b)**(2\/15) assuming b is positive.\nAnswer: b**(-92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39942?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 306.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 43. Let a = 16 + j. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -49234 less than -5374?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 1)*(-1 - 2*y + 1) - 1 + 1 - 2*y + (0 - 3 + 4)*(-4*y + y + 6*y) + (-2 + 2 - y)*(2 - 1 + 0) to m + t*y and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10662440 - 10662440 - 11*v.\nAnswer: -11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3660838584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/8*-6*4\/(-7). Let t = 2 - 0. Which is the smallest value? (a) x (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, -22, -3, -2\/7, -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1111, -3129, -6037, -9835, -14523?\nAnswer: -20101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 27 = -j. Let g be 2121\/j - 2\/6. Let k = -1649\/7 - g. What is the second biggest value in 2\/11, k, -5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-3) + 30\/9. Solve -v = -4*j - 8, h*j + v = -0*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 213078 and 27438?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-55)*-5*(-2)\/(-56)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.3 + 0.3. Let l = -749.69 - -711.7. Let f = l - -38. Do f and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*p - 5*p - p**2 + 2*p**2 - 5*p**2 + 0*p**2 + (-4 + 3 + 2)*(-1 + 1 - p**2) as w + z*p + k*p**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80 - -85. Suppose 3*i - 1952 = 2*i - 5*x, t*i - 2*x - 9841 = 0. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -37. Let t = 6.3 - 0.3. Let x = t + -6.1. Which is the third smallest value? (a) x (b) w (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -2321?\nAnswer: -2330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -29*f**2 + 1188*f + 46. Let j be b(41). Let n = -0.7 + 0.2. What is the second biggest value in j, 0.5, -0.3, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**5 - 106995070*c**4 + 578*c - 129716 wrt c?\nAnswer: -20*c**3 - 1283940840*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19*(-32)\/912)\/(68\/(-6))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 1:54 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 112 + 89*z + 75 - z**2 - 41 + 36.\nAnswer: -(z - 91)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.31054?\nAnswer: -0.124216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*r - 194, 4*v - r = r - 356. Let c = v - -163. What is the greatest common divisor of 24 and c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*a - 5 + 1, a = -4. Let k = s - -9. Suppose 4*i + 72 = 3*d - d, 0 = 4*d + k*i - 79. Solve -5*v + 28 = -4*t, -10 = 5*v + 2*t - d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*y - 9. Suppose 0 = 2*h - y - 0. Is ((-2)\/h)\/((-10)\/655) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of 4*k**3\/3 + 1384*k - 1. Let x(u) be the second derivative of u + 0*u**2 - 1\/2*u**3 + 0. Give g(x(r)).\nAnswer: -24*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*a - 11, 0 = -3*x - 0*a - 4*a + 8. What is the second derivative of -b - b**4 + 5*b**x - 2*b wrt b?\nAnswer: 48*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(1080) - sqrt(1080)*-1) + sqrt(30))\/(sqrt(40)*-1) + -3)*5)**2.\nAnswer: 975*sqrt(3) + 13575\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 - 51 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32 - 0?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(832)*-4 + 1)*5 + -5))**2.\nAnswer: 332800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**2 - 27. Let y(z) = 6*z**2 + z - 26. Let a(h) = -5*n(h) + 6*y(h). List the prime factors of a(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -1193?\nAnswer: -1191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 9, 6, 3, 0, -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*a + 7, 16*a = -5*y + 17*a - 19. Let i(s) = s**3 + 4*s**2 - 9*s - 14. Determine i(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g. Let w(l) = -4489506*l**2 - 74925*l - 2997. Let b(d) = -5994*d**2 - 100*d - 4. Let v(c) = 2997*b(c) - 4*w(c). What is v(m(z))?\nAnswer: -23976*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769568151 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 + 10. Suppose k + 3*j + 3 = 0, -5*k = -v*k + j - 15. Let i(w) = -w**3 + 7*w**2 - 7*w + 2. Calculate i(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 - 21?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84833.\nAnswer: 7, 12119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of -i**6\/6 + i**3\/3 - 2*i. Find the second derivative of g(t) wrt t.\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2931678+0.47\nAnswer: -2931677.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/82 - 140\/(-17794).\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10040608.79 to the nearest 1000.\nAnswer: -10041000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + 1 - ((-34 - (23 + -36)) + 25)) + 78.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 4 (c) 0.5 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 5, 12, 41, 104, 213, 380?\n\"Answer: 2*m**3 - m**2 - 4*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 3, -28 = 8*y - 13*y + 4*l for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201766.\nAnswer: 2, 79, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.4 (b) 3 (c) 783833 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 o when two letters picked without replacement from {k: 6, j: 3, o: 4}.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/3108075 and -18\/1465.\nAnswer: 910665975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 6695 (b) -34 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000678443562 to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a*r*x**3 - 9*a*r*x - a*x**3 + 8*a*x**2 + 2*r*x**3 + x**4 wrt x.\nAnswer: -6*a*r - 6*a + 12*r + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -182*h + 25503. Calculate i(140).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (1 + 12\/(-5)). Let q = 8.14 - 3.14. What is the nearest to w in q, 1\/5, -0.4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 627, 628, 629, 630, 631?\nAnswer: 632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 + 32 - 58 + 290*r as b*r + x and give b.\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 - 10101110?\nAnswer: -10101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*n**2 + 34 + 25*n**2 - 715*n + 714*n in the form k*n**2 + f + h*n and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1029498 divided by -13\nAnswer: 1029498\/13","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 d, and 2 v when four letters picked without replacement from llvvdvlllvdvl?\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 + u - 6*u + 5*u + 0*u + 5*u + 2*u - 5*u + (-1 + 5 - 2)*(2*u - 5*u + u) + u + 6*u - 3*u + 61*u - 45*u + 31*u as d*u + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 93\/39634 or 1?\nAnswer: 93\/39634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 k when two letters picked without replacement from lilhphmmhhmkh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2178*m**3 + 2*m - 1643 wrt m?\nAnswer: -13068*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -70 + 98. Find the third derivative of 2 + j*p**2 - 27*p**2 - 2 + 7*p**4 wrt p.\nAnswer: 168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7287 or -13?\nAnswer: 0.7287","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*q - 125*q + 270 = -262*q for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9594, -19183, -28768, -38349, -47926?\nAnswer: -57499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13630650 divided by 5?\nAnswer: 2726130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 735106 is divided by 191.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -111 - -557\/5. Let g = -3 + -5. Let m be ((-15)\/25)\/(g\/(-10)). What is the third biggest value in d, m, -2\/13?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311 (base 4) to base 13.\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of -7*m**3 + 0*m - 173\/2*m**2 - 63. Find the second derivative of v(s) wrt s.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*z = -127*z - 15887322. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(2\/11)*p**(-2\/7))**(5\/3))**(8\/11))**(-1\/5) assuming p is positive.\nAnswer: p**(-184\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*i - 66*i = -188*i + 3434 for i.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/(m*(m\/(m*m**(-3\/8)\/m*m)*m)\/m*m*m))**(35\/3))**(-26) assuming m is positive.\nAnswer: m**(455\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pzp when three letters picked without replacement from pzztazvpzzaazpzzapt?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -462 - -462.2. Which is the nearest to -800? (a) 2 (b) 1\/6 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -815*f + 5086*f + 1988*f + 3410*f.\nAnswer: 9669*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1842630 is divided by 1828.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 229174 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/16 + 2*246\/96. Solve 2*m = 2*a - 3 - 5, p*m = a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 = 2*w. Let y be 146*((-28)\/w)\/(-7). What is the second derivative of -5*s**4 - 4*s**4 - y*s + 72*s wrt s?\nAnswer: -108*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -178 + -5?\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2761 - 0.0761. What is the nearest to l in -2\/13, 2, -1?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 589880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 43340179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2315.41587 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 divided by -6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*i = -52*i + 190. Let w = 18 + -10. What is the remainder when i is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, u: 4, l: 1}. Give prob of picking 3 g.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 1.174\nAnswer: 0.1174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*m - 4*h + 57, -18 = m + 146*h - 147*h for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -780.07 - -780. Which is the third smallest value? (a) t (b) -3\/2 (c) -5 (d) -10\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18525\/2 + -203747\/22. Factor 20\/11 + 2\/11*u**2 - b*u.\nAnswer: 2*(u - 5)*(u - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9951*c**3*y**5 - 38*c**3*y + 218*c**2*y + 2*y**5 wrt y?\nAnswer: -199020*c**3*y**3 + 40*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, q: 7, o: 2, z: 9}. What is prob of sequence zqqz?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-85)*5\/(-3)*(-12)\/(-240)*-24?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 3*x**3 - 3*x**3)*(0 - x + 0) + 4*x**4 + 196 - x**3 - 196 + (3*x - 3*x - x**2)*(2*x**2 - 3*x**2 + 0*x**2) - 2*x**4 + 0 + 0.\nAnswer: x**4 - x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 4*z - 3*h - 5677, -4*z - 3*h + 11381 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4119 divided by 3?\nAnswer: 1373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or -38.37885?\nAnswer: -38.37885","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-20)*30\/36?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3104782 and 5038?\nAnswer: 34152602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 m when two letters picked without replacement from seeeeteeeeemeteee.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/22 and -131\/162.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 2055883329?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 19. Let v be 93 + -8 + 12\/(-3). Suppose -24 = 7*l + v. Let p be k(l). Solve g + 31 = 6*g + 3*f, 0 = 4*g - p*f - 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.0615744 rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1036\/187 > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136340 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33 - 16. What is the remainder when 49 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 2072 (b) 0.3 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1070905035895 - -0.5?\nAnswer: -1070905035894.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 15*u**2. Let o(k) be the second derivative of 0*k**2 + 0*k**3 + 0 - 9*k - 1\/12*k**4. Determine n(o(m)).\nAnswer: 15*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 0.1032.\nAnswer: 0.6192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o\/(o*o**(-1\/5)))\/o**(-1\/5))\/(o**(-2\/11)\/o**(-1\/2)))\/(o\/((o*o**(-2)\/o)\/o)*o**(-1\/5)*o*o)**(9\/7) assuming o is positive.\nAnswer: o**(-4909\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y + 17 - 4*y + 4*y + 180 - 68. Let n(g) = -8*g. What is k(n(r))?\nAnswer: 8*r + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**10\/2016 + t**9\/756 + t**8\/1008 - 7*t**4\/12 - 9*t. Let n(p) be the third derivative of o(p). Factor n(j).\nAnswer: 5*j**3*(3*j + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m**5 + 9408*m**4 + 37671*m**3 + 28272*m**2 - 37668*m - 37680 = 0. Calculate m.\nAnswer: -2, -1, 1, 3140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1254 - 709. Suppose 68 + a = 3*l - 5*c, -4*c - 828 = -4*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of i**4\/12 + i**3\/6 + 3*i. Suppose 8 + 22 = 2*w + 4*n, -2*w + 35 = 5*n. Let b(x) = -3*x**2 - 7*x + 1. Calculate w*m(h) + b(h).\nAnswer: 2*h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32.46 + 32.46. What is the closest to 0.1 in -0.02, o, -0.07?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -19.6 + 22. Let s = 2 - u. Let r = 3 - -2. What is the smallest value in s, -0.3, r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65200.03 nanograms to tonnes.\nAnswer: 0.00000000006520003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 47161943251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5257872 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -290307381*b**2 + 15*b + 2260545.\nAnswer: -580614762","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-370)\/(-555)*128942\/4)\/((-1)\/(-3)).\nAnswer: 11, 5861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/19 at least as big as -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = 13*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 243950 and 147190.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.124 times -290?\nAnswer: -35.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 25. Solve s*u = u - 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -32, 1\/79, 1, 4, -4 in ascending order.\nAnswer: -32, -4, -0.5, 1\/79, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110*l**3*x - 3*l**3 - 58*l**2*x + 2 wrt l?\nAnswer: 660*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 3*l - 631 + 607 = 3*j, 5*l = -5 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17 + 18. What is the second biggest value in z, -2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - n = -6*n - 30, -3*u = -4*n - 17. Let m be (-5 - -16) + 5\/u. List the prime factors of (1\/m)\/(7\/4578).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*o + 53 + 67 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(4\/5)*r**19)\/(r**(-18\/7))**(3\/13) assuming r is positive.\nAnswer: r**(9006\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -790*u**2. Let l(m) = 49802*m**2. Calculate t(l(w)).\nAnswer: -1959388971160*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 + -0.13. Which is the smallest value? (a) -4\/7 (b) 2\/9 (c) 2 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**5\/20 + r**4\/8 - r**3\/2 + 2*r**2 - 13. Let c = -5 - -7. Let j = 4 - c. Determine b(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 332 + -162. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -33. Let a = k + 19. What is the biggest value in a, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50 = 3*n - 13*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -5. Suppose -3*l + v = l. Let r(k) = -4 + l*k - 2*k + 5. Let o(d) = -2*d**3 + 5*d + 5. Give o(m) - 4*r(m).\nAnswer: -2*m**3 + m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**5\/15 + r**4\/8 + 22*r**3\/3 + 8*r**2 + 1. Differentiate l(u) wrt u.\nAnswer: 8*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/2 - 92\/2. Let g = -19 - j. Let o(w) = 2*w. Let d(y) = 9*y. Calculate g*o(v) - 6*d(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-22)\/4)\/(42\/(-28)). Let j(s) be the first derivative of 0*s + 0*s**2 + y*s**3 - 19\/4*s**4 + 18. Find the third derivative of j(n) wrt n.\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4600 + -4578. Solve -d*a = -35 + 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - 22?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in two sevenths of a week?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**3*z**3 + 1193*i**3 - 1116*i*z**4 with respect to z.\nAnswer: -6*i**3*z**2 - 4464*i*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*i - 1196, -2*q + 1220 = 4*i - 5*q. Does 75 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = z - 70. Let n be (2\/3)\/(z\/27). Solve -t = -n - 2 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes after 1:26 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 28, 0.02, 0.2, 1\/447, -4\/3?\nAnswer: 1\/447","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*((-44)\/(-12) - 3). Suppose -x - 15 - j = 0. Let h be (-4)\/14 - 1170\/70. Is h at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -43*p**2 - 93*p + 47. Let b(w) = -20*w**2 - 46*w + 22. Determine 13*b(k) - 6*j(k).\nAnswer: -2*k**2 - 40*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:49 PM and 6:51 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 6*o + 178 = 0. Does 23 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/264891 and 7\/1324455?\nAnswer: 1324455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 62956.78 seconds?\nAnswer: 62956780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*p + 624*p + 24 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 6, a - 2*i = -a + 166. Suppose 6*n + 14 = a. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177871 is divided by 977.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -1, 2, 6.9, 0, -1.02 in decreasing order.\nAnswer: 6.9, 2, 0.3, 0, -1, -1.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + 4*p - 4*p)*(0 - p**2 + 0) + ((-2 - 2 + 2)*(-3*p - 3 + 3) - p + p - p)*(-3*p - 2*p**2 + 3*p) + (-5*p**3 - 2*p + 2*p)*(2 + 1 + 1).\nAnswer: -32*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**1*d**(-3\/8) assuming d is positive.\nAnswer: d**(13\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**3 - 2*n**2 + n. Let p be v(1). Suppose 3*l + 3*s + 7 = 2*l, -16 = -5*l + p*s. What is the units digit of ((-76)\/57)\/(l\/(-51))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 612 divide 141267498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3350 - -3387. Sort 0, 5, -3, r.\nAnswer: -3, 0, 5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**3 - 3*n**3 + 6*n**3)*(4 - 1 - 1) + 98*n**2 - 344*n**2 + 78*n**2 + 858*n**3 + 85*n**2 + 83*n**2.\nAnswer: 860*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 7*l + 3. Let q be r(-7). Let x be (-4 + (q - 3))*3\/(-6). Let v be ((-30)\/(-9))\/(x\/9 + 0). Solve m + 2*m = v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*j = -26*j - 25*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(132)\/(2*sqrt(972)) + -1 + (sqrt(22)\/(sqrt(2) + -1*sqrt(2) + sqrt(2)))**2 + -5.\nAnswer: -2*sqrt(11)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 11462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -1*(sqrt(175) - (-2*(sqrt(175) + 0))**2) + 4)*-5.\nAnswer: -3525 + 25*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - 13 + 3 - 9*j + 7 with respect to j.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(9 - 174\/18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 611 = 495. Solve 5*z + t = 3*i, -5*z + 7*z + i = -6 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9857 - 9858. Let o(m) = -2*m**2 + 5*m - 6. Let x(k) = -1. What is n*o(g) + 3*x(g)?\nAnswer: 2*g**2 - 5*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/2))**(-34)*t**0\/(t*t\/t**(-1\/6))*t**(-2)\/(t*t\/(t*t\/(t**(-3)\/t*t)))*t**(-1\/9)*t\/(t**(1\/11)\/t*t*t*t)*t assuming t is positive.\nAnswer: t**(3095\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -95, 13, -55?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/(-12))\/(12\/144). Suppose 4*c + 21 = 3*j, -3*j - 9 = -7*j - c. Suppose 3*m + y - 24 = -0*y, j*y = o*m - 12. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 27*a + 119. Let f be k(-21). Let r = 513 + f. What is the greatest common factor of 15 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 7*k**2 + k - 5. Let f be a(7). Suppose 5*c - 31 = -5*u + c, 14 = -f*u + 5*c. Solve -8 = u*j + 4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1993*d**4 + 1950*d**4 - 12*d - d + (-d - d - d)*(-2*d**3 + 3*d**3 + 0*d**3) - 5*d**4 + 6*d**4 - 5*d**4.\nAnswer: -50*d**4 - 13*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270 = 5*s - 2*h - 280, 7 = -2*s + 3*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 114 - -2?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + 2 + 7 + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 plus -293442429?\nAnswer: -293442418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 + -3*(-5)\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 962, 972, 982, 992, 1002, 1012?\n\"Answer: 10*x + 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56177 divided by 2621.\nAnswer: -56177\/2621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2080, 0.4, -1\/7, 0.1, -2\/21, -16?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1965, -48, -34, -1 in descending order.\nAnswer: -1, -34, -48, -1965","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1196c - -e8?\nAnswer: 11a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 467433 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 9 - 14 = 0. Suppose -188 = g*b + 5337. Let h = -774 - b. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4155 (base 7) to base 11.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 204520610 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 26750015?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/1912 and -51\/22.\nAnswer: 21032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 849.12 - 12.12. Let i = -800.3 + b. Let v = -37 + i. Which is greater: -5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the first derivative of 14*p**3\/3 - 8*p**2 + 21. Find the second derivative of s(u) wrt u.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108\/17 <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-52) - (-28)\/(-80). Which is the smallest value? (a) 5 (b) 1 (c) 0.04 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, -9, -82, -227, -468, -829?\nAnswer: -1334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 29836373, 29836368, 29836359, 29836346, 29836329?\n\"Answer: -2*g**2 + g + 29836374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 86554*32.6.\nAnswer: 2821660.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -31. What is the remainder when 21 is divided by q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/25)*l**(-2))\/(l**13\/l*l\/l**2))**(4\/5) assuming l is positive.\nAnswer: l**(-1308\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + 6. Let v = h - 15. Let w be 2*(-2)\/4*1. Which is the biggest value? (a) -0.1 (b) w (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*z**2 + 10*z - 10*z)*(9*z + 1 - 1)*(-3 + 3 + 2)*(-1 + 1 + 1)*(3 + 4 + 1).\nAnswer: 3024*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -486*a**3 + 569*a**3 + 1323*a**3.\nAnswer: 1406*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*z + 8, -2*u - 2*z + 13 = 3*z. Solve -4*r = -h - 14, u*r = -7*h + 2*h + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 72.60471 years?\nAnswer: 871.25652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 5. Let l be v(0). Suppose l*s + 85 = 430. Let f be -2 + 25 + -2 + (-8)\/(-4). What is the greatest common divisor of f and s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 + -341\/4. Let q = 171 + -1227. Let t = 1056.2 + q. What is the third smallest value in t, -0.5, n, -3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + y + 0*y - 4 = 0, -4*z + 2*y = 8. Suppose z = 2*t - 2 - 4. What is the derivative of 4*a**2 + 2*a**t - 4*a**2 - 1 + 0*a**3 wrt a?\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 10*g**2 - 3*g - 57. Let h be b(9). Let n = h + 174. Let f = -134 - -206. Calculate the highest common factor of f and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*a - 86*a = 3*m + 169, -1 = 6*a - 9*a - 5*m for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**3 - 4*z**3 + 0*z**3)*(-z + z + z) + 4*z**4 + 8*z - 8*z.\nAnswer: 5*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, z: 3, k: 5, q: 2}. Give prob of picking 1 q and 3 j.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = -2*r - 6, 0 = 5*n - 9*r + 13*r + 12 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 3\/13, -28.4.\nAnswer: -28.4, -5, -2, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1512)\/(-98))\/27*(-84)\/(-18)*6\/(-520).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*j + 5*j - 8 = 0, -x + 10 = 4*j. Suppose -x*z + 5*c + 54 + 26 = 0, -c - 4 = 0. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*q + 114*q + 20642 = 0. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135081 is divided by 3889.\nAnswer: 2855","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 1479104000 to the nearest 1000000.\nAnswer: 1479000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*v + 93, -4*v = -4*h - 116 - 256. Let s = 144 + h. What is the remainder when s is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -261416 divided by -3188?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4 = 0, 0 = 3*c + 2*u - 3*u - 8. Let t = 6 + -2. Suppose t*z - 308 = -c*a, 0*z + 146 = 2*z + 5*a. Is 26 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - w - 523 = 0, 3*w + 4 = -11. List the prime factors of j.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.458781ug in nanograms?\nAnswer: 458.781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**6 + 125*o**3 - 179*o**2 wrt o?\nAnswer: -120*o**3 + 750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/6)\/((63\/72)\/((-63)\/(-6)))\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c. Let v(q) = q - 1. Suppose 0 = 5*r - 5. Let b be (-2 + r - -2) + 0. Suppose -4 = -a + p + 2*p, 0 = -4*a - p + 3. What is a*g(k) + b*v(k)?\nAnswer: -5*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -25, t - 3*m - 1757 = 476. What are the prime factors of t?\nAnswer: 2, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3401 - 104214332?\nAnswer: -104223233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1*(-1)\/300)\/(14385\/2740). Let j(a) be the third derivative of -1\/150*a**6 + 0*a - 1\/50*a**5 + 0 + 2*a**2 + 0*a**4 - d*a**7 + 0*a**3. Factor j(r).\nAnswer: -2*r**2*(r + 3)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 5*o + 14, 33*o + 10 = -t + 30*o for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 d when two letters picked without replacement from {x: 6, d: 8, c: 2, b: 1, p: 1}?\nAnswer: 16\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -0.7. Let s = -15.1 - u. What is s rounded to the nearest integer?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 847\/(-119) - (-7)\/1.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 7. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*f - 139. Let z = f + 30. What is the second derivative of -2*j**2 + z*j + 6*j - j**2 + j wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 526 - 468.8. Let y = -59.2 + w. Sort 59, y, -3 in descending order.\nAnswer: 59, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 2*q**2 + q. Let c(v) = -v**2 + 3*v. Let h be c(2). Let i be k(h). Suppose 12*s + 50 = 37*s. Solve -4*l = -s*l + i for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3797\/3 + 22745\/18. Find the common denominator of (-10)\/630*-105*302\/540 and j.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8831, 8826, 8813, 8786, 8739, 8666, 8561, 8418?\nAnswer: 8231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 200 and 362970350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*i + 13, 3*h + 3 = -0*h. What is the common denominator of 4\/7 and i\/14 + (-19)\/168*10?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.75787713 + 103.75788223. Let a = 307 + -208. Let b = a - r. Round b to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560449 is divided by 317?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -7) + -6 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 353450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2563976*b*z - 575*z + 848 wrt b?\nAnswer: 2563976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(-2\/5)\/s*s*s)*s))\/(s*s**(-1\/3))*(s*s**(-7)\/s)\/(s**(6\/11)\/s*s) assuming s is positive.\nAnswer: s**(-1256\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 856578?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 51188 and 1146.\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + -3 + (32 - 20 - 4)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1296 and 2016.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 7*h + 4. Let d be s(7). Let f be (-10)\/(-2)*(-1)\/(-1). Suppose p - k - f = 0, 5 = -4*p - 3*k + 18. Do p and d have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 z when three letters picked without replacement from {z: 5, l: 2, g: 7}?\nAnswer: 15\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*g**6 + 15*g**2 - 5*g**6 + 0*g**6 wrt g.\nAnswer: -2400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -549*0.79815\nAnswer: -438.18435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2*(-1)\/3)\/((-48)\/(-72)). Which is the closest to y? (a) -3 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554146?\nAnswer: 2, 277073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12168270007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*a - 199 = -4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 59178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -54) + 102 + -134 + 32\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10 - ((2 - (-9 + 9)) + -24 + 23)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-1)\/(-1)) + 3. Suppose -2*u - 4*g + 36 = 0, z*u = 3*u - 2*g - 10. Let n = 394 + -327. What is the remainder when n is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85506340 by -6220.\nAnswer: 13747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -5*b + 35260, 19*r - 21143 = -3*b + 17*r. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4884 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*2\/12*34200\/62700?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -6*l**4 + 3353*l**3\/3 + 5813*l**2\/3 + 2818*l\/3 + 376\/3 = 0.\nAnswer: -1, -1\/2, -2\/9, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.052864 rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + 27*n**2 + 463*n + 27. What is f(39)?\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-27)*42\/35?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -182 - -183. Let y be 12\/60*15 + 0\/i. Solve 2*t**y - 4\/9*t + 10\/9*t**4 + 0 - 10\/9*t**2 - 14\/9*t**5 = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcrcrxr. Give prob of sequence cr.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -38016971 to the nearest 100000.\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvev when four letters picked without replacement from {e: 3, q: 2, v: 12}.\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23134130*r**2 - 69503846 wrt r.\nAnswer: -46268260*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 0, 0*b = 3*i + 2*b + 87. Let a = 61 + i. Let m = -9 + a. Calculate the remainder when 90 is divided by m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209, -191, -175, -161, -149?\nAnswer: -139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/4 - (-121)\/44. Solve 0 = -2*g - 4*y + 2*y + 4, -5*y - 25 = -l*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*z + 1096 = 0, 2073 = 5*i - z - 623. What is the greatest common divisor of 40 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -30*1\/(-6)*-4. Let c be (-3 + s\/(-6))*-9. Let i(d) = d**2 + 3*d + 3. List the prime factors of i(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*p + 200 - 200)*(11 - p - 11 + (0*p + 0*p - p)*(1 - 3 + 0)) - 4*p**2 + 2*p**2 + 3*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + 12*a**2 - 27*a - 71. What is y(9)?\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**11\/124740 + h**9\/30240 - h**8\/30240 + h**5\/15 - 2*h**2. Let i(k) be the third derivative of c(k). What is o in i(o) = 0?\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 2*r = -6. Suppose -5*u - 2*v + 20 = 0, r*u - 4*v + 19 = v. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x + 2. Let y(t) = t + 1. Let n(j) = -2*w(j) + 3*y(j). Let f(l) = -4*l - 1. What is -f(h) - n(h)?\nAnswer: 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30286 + -30287. What is the nearest to d in 0.8, 1.6, 19?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 62 + 65 - 25*f**2 - 127 as b*f**2 + o + h*f and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3197.\nAnswer: 23, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5985 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1283?\nAnswer: 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -51*n + 10. Let s(a) = -26*a + 4. Calculate -5*s(m) + 3*t(m).\nAnswer: -23*m + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, f: 1, q: 2, l: 3}. Give prob of picking 1 q and 1 e.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.194 + 0.206. Put 2\/33, -0.4, r, 1\/2 in decreasing order.\nAnswer: 1\/2, r, 2\/33, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48377794 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: Which is the biggest value? (a) 2\/25 (b) -0.9 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b*b\/(b\/((b\/(b*b\/(b*b**4)))\/b))*b*b)\/b)\/b*b)**(10\/9)\/(b**(-2\/5))**(1\/39))**(-47) assuming b is positive.\nAnswer: b**(-20398\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140*h + 4488 = -332*h + 98*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4795778160 to the power of 1\/2, to the nearest integer?\nAnswer: 69252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 34 + (-3 + -21 - -13).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:55 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 (base 9) in base 16?\nAnswer: e5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19b - 4?\nAnswer: -19f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-14) + 202\/(-707)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/2 and (-2)\/(-1) + 28235\/(-14210).\nAnswer: 2842","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4256 and 2016?\nAnswer: 38304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -10, -2, 14, -261, 3 in descending order.\nAnswer: 14, 3, -2, -5, -10, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -1.1897.\nAnswer: -1.5897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*(42\/56 - (-2)\/(-8)). Suppose -33 = -g - 5*r, -4*g + 57 = 5*r - 0*r. Sort 1, k, g in descending order.\nAnswer: g, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -3*v - 2*h, -v - h + 104 = 4*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240155?\nAnswer: 5, 43, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, n: 4, w: 5, m: 1}. Give prob of picking 2 w and 2 n.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 16, m: 2}. Give prob of sequence mn.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**4 + 1. Let n(j) = 271*j**4 - 377*j - 3. Let w(z) = 3*h(z) + n(z). Find the second derivative of w(u) wrt u.\nAnswer: 3216*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 6:10 AM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 5.1. Let g = -4 - c. Let j = 0 + 1. Is g > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b - 7. Let h be i(8). Let a be (-5)\/(-2*h\/144). Suppose 3*x + 360 = 3*r + 2*r, -2*x = 5*r - a. Does 24 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q - 16 + 2*q + 205*q**2 - 3*q + 18. Is y(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(2\/5)))**(4\/7)\/(m*m**(-1\/6)\/m*m**(-2\/9)) assuming m is positive.\nAnswer: m**(101\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -33211 equal to -33257?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -129 + 38. Let r = f + 90.9993. Round r to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.1 (b) 0.5 (c) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 + 3. Let y(h) = -3*h**2 - h + 10. Let x(d) = -11*u(d) + 4*y(d). What is x(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (336102\/(-185287))\/((-3)\/129).\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -282 + 291 = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 5:37 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09 - -53634.\nAnswer: 53633.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 + (29 - (5 - 35)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brbbrrbrrcbcbb. What is prob of sequence bbc?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - -5 - (1 - -1). Suppose 0 = -j - 7*c + 2*c + 14, -3*j + 4*c + 4 = u. Suppose -j*p = -3*p. Solve p = -5*g - 4*d + 20, -3*g + 4*g - 20 = -4*d for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -n**4\/2 + 7*n**3\/3 + 19*n**2\/2 - 7*n - 66. What is the remainder when v(-3) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3501 + 3500. Which is the nearest to -0.1? (a) 2\/7 (b) h (c) -4 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3596.\nAnswer: 2, 29, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/(-8))\/((-45)\/(-1080)). Solve 2*w = 5*s - 19, -s - 2*s + n = -3*w for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1545282 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n\/n**(-8)*n)\/n)\/(n*n**(2\/5)))**27 assuming n is positive.\nAnswer: n**(1161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, p: 13, w: 2, d: 2}. What is prob of picking 1 d and 1 w?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17299\/2 - 8649. Suppose -5 = -2*v - 11. Which is the nearest to i? (a) v (b) -16 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 888 and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 10) to base 14\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(99\/(-4))*3\/(-6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*g**2 + 1269 - 1269.\nAnswer: 13*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*w - 37 = 0, w = 5*b - 4*w + 30. Let y be (b\/(-33) - 10\/(-6)) + 705. Suppose -2*k = -3*k + y. Is k 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 xooooooxooxooxoooo. What is prob of picking 4 x?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t - 78. Let h be g(27). Let b be (-12)\/(-18) - 104\/h. Solve b*i = l - 23, 3*l - 3 + 4 = i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyzyyzyyyyy. Give prob of sequence zy.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b - 3 + 3)*(-3*b**3 - 4*b**3 + 8*b**3 + 7*b) to n*b + t + d*b**3 + v*b**2 + c*b**4 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6 - 4 + (3 + 1 - 3)*(-2 - 1 + 4) + 31 + 36 + 0)*(-3 + 0 + 1)*(0*c**2 - c**2 + 3*c**2)*(-4 - 7 + 5).\nAnswer: 1584*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -51, -195, -495, -1029, -1875, -3111?\n\"Answer: -13*c**3 - 53*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-3 - -2)*0. Let y = -1\/10 - 2\/5. Which is the biggest value? (a) y (b) v (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 28737525, 28737517, 28737509?\n\"Answer: -8*z + 28737533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(50)\/(sqrt(50)\/sqrt(5)) + -3 - -2*(sqrt(5)*-2)**2*-1.\nAnswer: -43 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1593a0 (base 16) to base 14\nAnswer: -28b476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of -5*c**7\/21 - 11*c**3\/6 + 30*c. Find the second derivative of q(f) wrt f.\nAnswer: -200*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13558 divided by 1.\nAnswer: -13558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (2475\/(-300))\/((-46)\/(-552))\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 0 + 2\/5*b**4 + 12\/5*b**3 - 4\/5*b**5 - 14\/5*b**2 + 4\/5*b = 0?\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6073*t - 703*t + 193320 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/688 and -7\/20.\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -c**2\/2 - 7*c + 1. Let j be ((-18)\/4)\/(1\/2). Let t be o(j). Solve 0 = -2*s - 2*w - 6, 4*s - t = 3*w - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -34*c + 45*c - 44. Suppose 3*u = -0*u. Suppose u*z - 5*z = 25, 4*z + 22 = q. What is the smallest common multiple of c and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -33*b**2 + 5197*b - 12624. Determine l(155).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 41*t. Let a(h) be the first derivative of -h**3\/3 + 28*h + 9. Let z(w) be the first derivative of a(w). Determine q(z(d)).\nAnswer: -82*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 10\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9582910 to the power of 1\/3, to the nearest integer?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6727 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 201029 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-7425)*-55)\/(-5*(-6)\/(-3630))?\nAnswer: -121\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 + 16*a**2 - 71*a + 3. Let o(d) = -5*d**3 - 49*d**2 + 213*d - 8. Let s(j) = 8*m(j) + 3*o(j). Find the second derivative of s(g) wrt g.\nAnswer: 6*g - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 151*y + 51 - 85 + 54 - 44*y. List the prime factors of h(8).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 1*(-2*(3 + (sqrt(539) - (sqrt(539) + -5 + -5*sqrt(539) - sqrt(539))**2)) + -3).\nAnswer: 686*sqrt(11) + 26992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1 - l + 1 + 2*l. Calculate t(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-2\/3))**(-44)*(z**6)**(-20))**35 assuming z is positive.\nAnswer: z**(-9520\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((45\/(-6))\/(18\/(-24)))\/2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -154529, -154730, -155071, -155558, -156197, -156994, -157955, -159086?\n\"Answer: -d**3 - 64*d**2 - 2*d - 154462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24634, -103355, -234556, -418237?\nAnswer: -654398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q. Let l be 1 - -3*10\/90. Let w(a) be the second derivative of a + 0 + 0*a**2 - l*a**3. Calculate w(t(b)).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in centimeters?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h + 75 = -245 + 82 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 765?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, -3, -9, -450 in ascending order.\nAnswer: -450, -9, -3, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + g = -3*g - 18, -3*s - 5*g - 28 = 0. Let x = s + 5. Let w be 1*(0 - (-4 - -1)). Which is the closest to -1\/2? (a) x (b) 0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 683 - 17*n**3 - 683 + 3*n - 10*n**3 in the form c*n**3 + l*n + i*n**2 + k and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -3*j**4\/28 + 2*j**3\/7 - 3*j**2\/14 + 2. Solve i(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/28, 2, 0, -4\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + (3 + 2 - (-2 + 5)). Solve -2*s + 3*m - 10 = h, -4*s - 3*m - 20 = m for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20918?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54466 > 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 - (17 + -21) - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -4 + (-1 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 377 + -371. Let v be 2\/(-6) - 4\/(-3). Solve -j = -a - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-4 + -1*(sqrt(189) + 6*sqrt(189)*-1)\/((sqrt(392)\/(-2*sqrt(8)) + sqrt(49))\/sqrt(7)))*2)**2.\nAnswer: -15360*sqrt(3) + 173824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3341118 times 7\nAnswer: -23387826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*c - 19*c = -10040. Suppose c = 2*t + 2*l, -10 = 2*l - 2. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3, -0.231, 3, -5, 2, -381?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6178668383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 118 divide 244854012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 6:26 PM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 2 + z**2 - 3*z + 4 + 6*z to the form r*z + u + k*z**2 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -76*g - 5*m - 1982 + 2266, 5*g - 5*m = 40 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 5, -6\/17, 2, -4\/15?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -2*d**5\/25 - 2*d**4\/5 - 4*d**3\/15 + 4*d**2\/5 + 6*d\/5 + 66. Suppose y(o) = 0. Calculate o.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (519033\/27905)\/(6\/(-20))?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*k + 594 = -72*k. Let l = -77 - k. What is the highest common factor of 242 and l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15) + sqrt(15) + sqrt(135))\/sqrt(5) + sqrt(6)\/(sqrt(2) - -1*sqrt(2) - sqrt(2)) + sqrt(3).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/495*36280\/(-16326)?\nAnswer: -4\/81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2738737 and 47.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*4\/((-8)\/(-47)). Let s = 134 - k. Let y(n) = 2*n**2 - 7*n + 6. Let q be y(4). What is the highest common factor of q and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -17639931?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 158*a - 32?\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133*l**3 + 1 - 1.\nAnswer: -133*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nngaavgaa. Give prob of sequence nn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005235211398 rounded to 7 decimal places?\nAnswer: 0.0000524","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 59*m**3 + 18*m**2 - 17*m + 36. What is the hundreds digit of n(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 908525232 by -1846596.\nAnswer: -492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/24)\/(234\/65)*42\/(-10)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14345 (base 10) to base 4.\nAnswer: 3200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + b**2 - b. Let u(l) = 5*l**3 - 8*l**2 + 7*l - 5. Let s(r) = -4*k(r) + u(r). Let d be s(11). Is (35\/d)\/((-2)\/22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 - 212934*c + 851768.\nAnswer: -2*(c - 4)*(c + 106471)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 76 and 1898?\nAnswer: 1822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - b - 4 = 18*v + 71, -738*v + 737*v - 3 = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t**2 + 30*t**2 - 9*t**2 - 14*t**2 - 4*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20387 - 20387.08667. Round z to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**5 + 549*v**4 - 8697*v**3 + 38511*v**2 - 26940*v - 74700 = 0. What is v?\nAnswer: -1, 3, 5, 10, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 323\/18 + -271\/9. Suppose 4*f - r = 2*r + 71, 3*r = 3*f - 54. Calculate the common denominator of f and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76544 divided by 4?\nAnswer: 19136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c1302 + 9?\nAnswer: c130b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(363)*-4 + sqrt(363))**2 + sqrt(363))*2.\nAnswer: 22*sqrt(3) + 35574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Let v = 200 - 595\/3. Which is bigger: v or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 14733, 14729, 14725, 14721, 14717, 14713?\n\"Answer: -4*l + 14737","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/7 + 65379*j - 1830564\/7.\nAnswer: -3*(j - 152547)*(j - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - -12) + (13 - (15 - -1))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10630 divided by -5\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -32492, -32500, -32506, -32510, -32512, -32512, -32510?\n\"Answer: k**2 - 11*k - 32482","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 103*-34.29\nAnswer: -3531.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*d - 84*d + 532 = 0. Suppose 3*u = -u + 20. Suppose -3*f - d = -u*f. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -358 + 628. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 12:18 AM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.198 times -48.353\nAnswer: -9.573894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 14052.1ug?\nAnswer: 14052100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**5\/5 + 713706*s**4\/5 + 6*s**3\/5 - 1427412*s**2\/5 - 3*s\/5 + 713706\/5 = 0.\nAnswer: -1, 1, 237902","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 80 and 45?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*q = -30*q + 25. Let f(c) = -c**2 + 6*c - 6. Give f(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 42, -0.5, -41, -8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23309 is divided by 189.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 - (23 + 8 + -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-18))\/(3\/(-36))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -8 - 5 + 2*b**2 + 0*b**2 + 12 - 18*b**3 + 5*b**3. What is f(1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.557250709 rounded to 2 decimal places?\nAnswer: 0.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/7 + 88\/14. Let r(f) = -f**2 + 6*f - 9. Determine r(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**3*w**2 - 2*j**3 - 694*j*w + 6639*j - 115408*w**4 - 6*w**3 wrt w?\nAnswer: 4*j**3 - 1384896*w**2 - 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/8, 2, -225?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 12*l - 68, 5*l = 121*u - 120*u - 21 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/12 + 5*i**3\/6 + 437*i**2. Suppose 4*d = 3*u - 25, 0*d - d = 3*u - 5. Determine f(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.22 + -27.\nAnswer: -27.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 1178.\nAnswer: 5890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of -17*h**8\/6720 - 23*h**5\/120 + h**4 + 40*h**2. Let r(f) be the second derivative of j(f). Differentiate r(l) wrt l.\nAnswer: -51*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3016 + 3113. What is the remainder when r is divided by 60?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1928898 to the nearest integer?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1231001 (base 4) to base 9.\nAnswer: 10512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/32*10*(-12)\/90.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 5*k + 627. Let j = -123 - k. Solve -3*g + g + j = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6106968 seconds to nanoseconds.\nAnswer: 610696800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + 1722\/(-245))\/(1\/(-7)). Let d be 16 + (-3 - (0 + -2)). What is the biggest value in d, b, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -752 or -734?\nAnswer: -734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001 - 111000000011011100?\nAnswer: -111000000100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -61 - -63. Let p(i) = -i**3 + 66*i**k - 45*i**2 + 15 - 5 - 43*i. Let f be p(20). What is f rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10302 by 303.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 439815 and 263889?\nAnswer: 1319445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(-2*sqrt(8)) + -2*sqrt(208).\nAnswer: -17*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25129401470.000000925 + -25129401757. Let s = r - -287. What is s rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (10\/(-18))\/((-11)\/(-264)*-20). Let a be (-5560)\/14 - 2\/1. Let m = -398 - a. Sort m, u, 1 in increasing order.\nAnswer: u, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -290 - -2321\/8. Let k(o) be the third derivative of 1\/15*o**5 - t*o**4 + 0*o**3 + 12*o**2 + 0 + 0*o. What is the second derivative of k(i) wrt i?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2288 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -344 - -104. Round i to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i**2 + 2*i + 2. Let p be f(-2). Let a be 61\/(-3) + 8\/(-12). Is p\/(-6) - 7\/a even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 2:43 PM?\nAnswer: 1:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7\/279 - 15875\/1116. What is the common denominator of c and 107\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(2\/((-6)\/3))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 400 + -128. Suppose 14*a - p = 540. Calculate the lowest common multiple of 18 and a.\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 6:02 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2. Let m(c) be the third derivative of -c**5\/15 - c**2. Calculate u(m(o)).\nAnswer: 32*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -5*(sqrt(1053) + -1 + sqrt(1053) + -1)**2 - ((sqrt(1872) + sqrt(1872) + 2 + sqrt(1872))*-6 + (-4 + sqrt(1872)*-2)**2).\nAnswer: -28570 + 384*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21653848 and 48?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1900)*4)**2.\nAnswer: 30400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2828 = -1135*y + 1236*y for y.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12102 - -20?\nAnswer: 12122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -40124 - 3?\nAnswer: -40130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 12217, 19132, 26055, 32992, 39949, 46932, 53947?\n\"Answer: n**3 - 2*n**2 + 6914*n + 5304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 18 = -4*i, 4*c = -83*i + 86*i + 59. Solve -c*v = 19*v + 8*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13218 divided by 6\nAnswer: 2203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + 13*r + 3. Let h(a) = -7*a**2 - 3*a - 2. Let p be h(-1). Is 23 a factor of k(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -9*p - 506. Let w = 41 + p. Let b = -505\/4978 - 1\/262. What is the closest to -0.1 in 2, w, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.3 - 7.21. Let p = -47.61 - s. What is p rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -548481 divided by 23.\nAnswer: -23847","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 60\/(-16))\/(26\/1664*-4). Suppose 4*b + 223 = -45. Let g = b - -100. What is the highest common factor of y and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*o + 6*s - 4, -11*o + 15*o + 8 = 3*s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 196\/15 + -407\/30. Let n = -7 + 10. Let d be (-6)\/(-15) + n\/(-45). What is the closest to b in 3\/5, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u + 21. Let w be t(7). Solve -3*v - v = w for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -50 - -38. Let w = 3 - 0. Let l = w + n. Which is the second biggest value? (a) -4 (b) -3\/7 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121349?\nAnswer: 121349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1857774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052166 to the power of 1\/3, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138*n + 71*n + 64*n.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + q = 6, 3*q = 3*f - q - 10. Let m = f - -2. Suppose -4*x + 1 + 11 = m. What is the greatest common factor of 27 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0*z - 15. Let r(g) = -2*g + z*g - 7*g. Let x(i) = 5*i. Let l(v) = 2*v. Let y(j) = 7*l(j) - 3*x(j). What is y(r(q))?\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*y - 2*o + 4*o, 0 = -o. Let l be (178\/12)\/(y\/20). Let z = l - 170\/3. Which is the second biggest value? (a) z (b) 0.4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5 - 6 + 12*j**3 + 2*j - 11*j**2 + 9*j. Let w(h) be the first derivative of -1\/4*h**4 - 4 - 1\/2*h**2 + h + 1\/3*h**3. What is -2*a(u) - 22*w(u)?\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 15, -4*w + 8*w = -2*k. Suppose 5*m = -l + 8*m - k, -3*l + 3*m = 0. Solve l = 2*d + d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47 - 47 - 344338070*b**2 + 344338061*b**2.\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.9 - -11.1. Let d = 19 + -6. Let m = 13 - d. Which is the biggest value? (a) m (b) r (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -4*j + 3*c, j = 4*c - 5 + 3. What is the highest common divisor of 4 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14006363 and 4452?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -70 + 68. Is c greater than or equal to -248\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 422, -2, -58 in ascending order.\nAnswer: -58, -2, 422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 140486.0569 to 0 decimal places.\nAnswer: 140486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1902, -1887, -1870, -1851, -1830, -1807?\n\"Answer: u**2 + 12*u - 1915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**3 - 2*w + 1. Let d = 10 - 9. Let x be v(d). Let f = 4 - x. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (173*h - 6350 + 6350)*((-h + 0*h + 2*h)*(6*h - 8*h - 12*h) - 6 + 2*h**2 + 6).\nAnswer: -2076*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 - (-7 + (7 - -1) - (-3 - (-10 - -4)))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27 - -51. Let c be 0\/(-1 - (-4 - -1)). Solve -4*l + 0*p - 4*p = r, l + 4*p + 12 = c for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 6. Let y be r(-1). Suppose -10 - 10 = 4*i - 4*w, -5*w + 10 = 0. Put 0, i, y in decreasing order.\nAnswer: 0, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjmxxx. What is prob of picking 2 j and 1 x?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/(224\/(-1840))*1208\/5?\nAnswer: 2, 23, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121002012122 (base 3) in base 11?\nAnswer: -1a6902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 6:10 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 686 + j - 2*j**2 + 6*j**4 - 1373 + 2*j**3 + 686 as h*j**3 + q*j + l*j**4 + m + b*j**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (17 + -5 + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3789132070 - -3789131844.9999799. Let j = 225 + r. What is j rounded to 6 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i. Let x = -215 + 217. Let h(l) = -9*l**2 + x - 681*l + 681*l. Give h(f(z)).\nAnswer: -81*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, 24, 95, 166?\nAnswer: 237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 12250103 rounded to the nearest 10000?\nAnswer: 12250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a**2 - 260*a - 3821. Determine u(-69).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+17177653.1249465\nAnswer: 17177653.2249465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 10:06 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 + 18. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 824872133?\nAnswer: 824872133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27578330.\nAnswer: 2, 5, 13, 212141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3352, -28, -33 in decreasing order.\nAnswer: 3352, -28, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 19714*s - 373932. Calculate v(19).\nAnswer: 634","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/67824684 and -67\/8.\nAnswer: 135649368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of -1\/2*w**2 + 0*w**4 - 1\/3*w**3 - 21\/10*w**5 - 4*w + 2. What is the second derivative of l(u) wrt u?\nAnswer: -252*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 1143 = 18*g + 51*g + 874 for g.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2475484 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 11 + 9 = 0, -3*b + 57 = -5*o. Is 12 a factor of 9\/((-6813)\/(-756) + o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 357 + -328.7. Let k = j - 34. Let p = -6 - k. What is the second biggest value in 4, 1\/5, p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106, 401, 662, 889, 1082?\n\"Answer: -17*f**2 + 346*f - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.620506 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1287, 3222, 5157, 7092, 9027?\nAnswer: 10962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*(((-11)\/(33\/(-12)))\/10)\/((-334)\/(-167)).\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -32248299 + 3533299. Round k to the nearest 100000.\nAnswer: -28700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -22, -10\/11, 1\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: -106807*-0.3\nAnswer: 32042.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*h - 22*h + 1 + 30*h)*(-3*h**4 - 2 + 5 - 2*h**4).\nAnswer: 50*h**5 - 5*h**4 - 30*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u. Let z(i) = -4*i - 1. Suppose b + 3*l - 30 = 0, 0 = -5*b + 5*l + 104 + 6. Suppose -y + 5*y = b. Give y*v(t) + 2*z(t).\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + m + 0)*(3 - 5 + 1 + (-4 - 3 + 5)*(1 + 1 + 0)) to l + v*m and give v.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g**2. Let n(z) = -3*z**2 + 5*z - 32. What is n(t(p))?\nAnswer: -363*p**4 - 55*p**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*h - 3*h = 5*h - 54 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/13420)\/(28\/(-5)). Let u = -133871\/122122 - g. Let h = 130\/59 - 3011\/590. Find the common denominator of u and h.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3602625?\nAnswer: 3, 5, 13, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 10\/3 of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -86391839*y - 162826267.\nAnswer: -86391839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3923 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201121120 (base 4) to base 6.\nAnswer: -2533144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 1, 0.11, -5, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 837*w - 165 + 369 - 204 + 122*w. Let n(x) = 22*x**2. Give l(n(k)).\nAnswer: 21098*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 182.50912 + 6251567\nAnswer: 6251749.50912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + 5\/(10\/(-58)). Let m be ((-4)\/b*4 - 1)*-6. Suppose m*g = -4*f - f - 22, 4*f = -20. Solve -a = -6 + g for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118529 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -119 (b) 1\/3 (c) 0.1 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -5*s + 6*s + 259, -5*s - 267 = -i. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 320 and 562991200?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 481 and 234.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 2)*(0 + n + 0)*(53 - 33 + 22 + (2 - 3 + 0)*(-5 + 2 - 2)).\nAnswer: 141*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjllljllq. Give prob of sequence bj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 - f**3 + 3*f**3 + (-f**2 - 2*f**2 + 0*f**2)*(-f - 1 + 1) as n + i*f**2 + b*f + r*f**3 and give r.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 5116144038?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 472621 is divided by 558?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13, -4\/7, 6\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488949 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 29*d. Let a(b) = 90285*b**2. Determine n(a(c)).\nAnswer: 2618265*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -302 + -264. Let b = -436 - p. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -6*r + 1 + 5*r - 5*r. Let n(z) = z**3 - 3*z**2 - 5*z - 5. Calculate the remainder when n(5) is divided by i(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47333215727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/(-8))\/(1\/12). Suppose 0 = -5*b + u + 4. Suppose -3*d - 2*s + 48 = s, 12 = 3*s. Solve b*x = -x + d for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1064.083798 to 1 dp.\nAnswer: 1064.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n - 50. Let v be h(-4). Suppose 10*d - 6*d - v*d**2 - d + 6 + d = 0. What is d?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 550393 (base 12) to base 13\nAnswer: 38297a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/d)**31 assuming d is positive.\nAnswer: d**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 0 - (-16 - -25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44330 (base 7) to base 8.\nAnswer: -25610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(45)\/sqrt(9) - (sqrt(45) - sqrt(45)*-1)**2.\nAnswer: -180 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34703 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -56. Let i = 38 + y. Suppose -i*d + 16 = -90. Is 7 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3189463699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 12:37 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10284 + -10277. Let c = -6 + 21. Solve c = w*i + 8*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1862726 and -4.\nAnswer: -3.8137274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 6*f**2 + 3*f - 13. Let n(l) = 5*l**2 + 3*l - 11. What is 5*c(i) - 6*n(i)?\nAnswer: -5*i**3 - 3*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 15 = 39. Let h(t) = -2*t + 6. Let a(m) = -m + 5. Let g(r) = 2*a(r) - 3*h(r). Calculate the remainder when g(9) is divided by v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4341 < 3439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 26. Let b be (33 - 3)*w\/2. What is the greatest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 43*z + 37*z - 18*z + 2*z.\nAnswer: 64*z - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1*(-1)\/(-26))\/((-10)\/40).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, l: 9}. What is prob of picking 1 q and 1 l?\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 56*c**4 - 107*c**4 - 7*c**2 + 53*c**4 + c**5 + (1 + c**2 - 1)*(0 - 2*c**3 + 0) - c**5 + 0*c**5 + 0*c**5.\nAnswer: -2*c**5 + 2*c**4 - 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 22968336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16.97 + 11.97. What is the fourth smallest value in 1\/8, p, 0, 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 5:48 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -677716, -677718, -677720, -677722, -677724, -677726?\n\"Answer: -2*y - 677714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 + 56. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292 + -292.182. Let l = v + 0.282. What is the third smallest value in l, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1489321?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*4\/(-60)*25\/95?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-6 + 20 - 5 - 65).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 7*s + 1. Calculate the remainder when c(6) is divided by (-30)\/(-1)*1\/2.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35849 (base 10) to base 14\nAnswer: -d0c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 322417111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -19*f**3 + 25*f**2 + 47*f + 146. Let a(m) = 4*m**3 - 4*m**2 - m + 1. Let g(z) = 5*a(z) + h(z). What is g(-4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n**2 + 12732*n + 102112 = 0. Calculate n.\nAnswer: -8, 3191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 66 = 2*y - 67, 0 = -2*y + 2*p + 138. What is the remainder when y is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 89370\/1395 - (-4)\/(-62). What is the highest common divisor of q and 832?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -51666\/5, -29 in decreasing order.\nAnswer: -2\/7, -29, -51666\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*k**2 + 9 - 9.\nAnswer: 79*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from {p: 1, w: 3, h: 5, j: 2, k: 8}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2*(-171)\/(-5))\/(27\/90). Let m = -96 + r. What are the prime factors of m?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from mzzttnwnzcnwccz.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c - -16c?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/15 and -17\/21013407.\nAnswer: 105067035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vnv when three letters picked without replacement from vvvvnvvn.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 385*g + 38 + 131*g - 518*g.\nAnswer: -2*g + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hrrjcchey. Give prob of sequence hr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2 - (4 + (-9 - -5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1096787 is divided by 154?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(931) + -1)*5.\nAnswer: -30 + 35*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16772 (base 8) to base 3.\nAnswer: -101112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 127*h*s**3*x - 11*h*s**3 + 4200*h*s*x - 3*h*s + 269*s**2 + s - 23*x wrt s.\nAnswer: 762*h*s*x - 66*h*s + 538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*f - 38 = -68 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704683205 and 7265.\nAnswer: 7265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 + -16. Suppose 0 = -p + d*y - 2, 2*p - 3*y = 5*p - 69. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**6\/12 + 11*p**5\/8 + 25*p**4\/4 - 40*p**3\/3 - 200*p**2 - 3*p + 246. Factor v(i).\nAnswer: 5*(i - 2)*(i + 4)**2*(i + 5)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19777 + -8731. Calculate the highest common factor of 126 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 3 + 0 = 0. What is the smallest value in n, -0.1, 0.2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 12133*b - 1. Let a be d(-3). What is a rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1481*h - 10902. Give d(7).\nAnswer: -535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, g: 2, u: 1, r: 1}. What is prob of sequence ury?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) -2 (c) 0.073 (d) -5 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 18. Let i be (44\/55)\/((-1)\/10). Let v = i + 11. What is the highest common divisor of v and k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42790979.\nAnswer: 7, 11, 29, 19163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 93606 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 91313 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1075655994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -214*s - 100. Calculate i(-4).\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 161730323182 - -827.\nAnswer: 161730324009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by -145630.\nAnswer: 8\/72815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 60 + 45. What is the smallest common multiple of p and 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -0.15, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108947 is divided by 26.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 9 (b) -1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111010100 + 11011?\nAnswer: 111101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(63))**2 + -3.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a + 2*u, 0*u - u = -2*a - 10 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13.1 + 13. Which is the biggest value? (a) 8 (b) z (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*g**3 - 22*g**2 - 68*g - 38.\nAnswer: 2*(g + 1)**2*(4*g - 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 78\/21 + (-2)\/(-7)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3 - k - k**2 + k**2 + k**2. Suppose -3 = -f - 0*f. List the prime factors of u(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/15 - 7256*o**2\/15 + 100114*o\/3 - 581140.\nAnswer: 2*(o - 3558)*(o - 35)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + w + 7 = -2, -17 = -3*g + 4*w. Let b be -2 + g\/(-1) + 1. Let t(i) = b*i - 4*i - 1 + 3*i. Give t(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70 times -8.5\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -5. Let j(k) = -k**3 - 8*k**2 + k. Let u be j(-9). Let l = -63 + u. Solve -3*y + l = -o*c, c = -2*y - 3*y + 27 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7, -3, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 7*b**4\/12 - b**3\/3 + b**2\/2 - 19*b. What is the units digit of u(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2\/3) + 0. Let j be -3*((-4)\/n)\/(-4). What is the units digit of (7 - -1) + (-2)\/j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 4) + 4 + (-1 - -6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*w + 3*w**3 - w**3 + 0*w**3 in the form n*w + a*w**3 + z + t*w**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13367.552 rounded to the nearest 10?\nAnswer: -13370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.9881896 minutes to days.\nAnswer: 0.004158465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*k**2*q**3 + 10*k**2 - 2*k*q**2 - 42*q**3 wrt k.\nAnswer: -4*q**3 + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -94a224?\nAnswer: 94a228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5*q - 6. Suppose 0 = -4*h + 2*w - w + 24, -4*h + 24 = 4*w. Let r(f) = -4*f + 5. Give h*r(y) + 5*m(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 6 = -7*y - 3*y, 2 + 16 = 2*u + 2*y for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000840215443 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5.8 and 25?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6801 + -6801.000018259. What is a rounded to seven decimal places?\nAnswer: -0.0000183","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**2. Let z(j) = -5*j + 78 - 78. Give z(p(i)).\nAnswer: -15*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + y - 5*y + 0 - 2*y + 0 + (2*y + 4 - 4)*(1 + 1 - 1) - 3*y + 0*y + 5*y - y + 2*y - 3*y)*((-3*y + 4*y + y)*(2 - 1 - 3) + 13*y - y - y).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11371967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = 5*i, -2*i + 6 = 2*t - 0*t. Suppose -j = -i*j - 14. List the prime factors of j.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2202010 + 10212221?\nAnswer: 1010211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1231*t**5 + 1048*t**5 + 1063*t**2 + 821*t**2 + 1342*t**5 wrt t?\nAnswer: 217260*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2705*o - 2844*o + 564*o - 752*o - 903*o.\nAnswer: -6640*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 16 = -4*u, -3*y - 4*u - 4 = 12. Suppose o = 5*m - y*o - 17, -3*o = 6. Solve 2*j = -4, m*j - 12 = 4*r - 34 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2805)\/30*(2 - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and -39611.\nAnswer: -8714.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 13 + 133 = 3*y, -2*y + 13*d + 182 = 46 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/10*(-180)\/108.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g - 10. Let d be t(-6). What is the third biggest value in -5, d, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -5, 3, 2 in decreasing order.\nAnswer: 3, 2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + -35?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1088 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 (13\/(-3))\/(6338\/874644*(-23)\/(-4))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -5*n - 30, -1340526 + 1340552 = -2*n + 3*r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -32\nAnswer: 117\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 62 - (-133 - (17 + -172))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 80, 3\/49, 3?\nAnswer: 3\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 812 - 4?\nAnswer: 80b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/6)\/(1\/(-18) - 0). Let n be 5\/o + (-109)\/(-6). Let h be (-4)\/(-18) - (-716)\/n. Calculate the greatest common factor of 5 and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**2. Determine w(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(119) - (sqrt(119)*1 + sqrt(119))) + sqrt(119))*1 + (sqrt(119) + (sqrt(119) - sqrt(119)*2))*4))\/(1*sqrt(847)*-6*-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/3 + (-2)\/4. Let m be -15 + 915\/60 + (-10)\/24. Which is the third biggest value? (a) 3\/5 (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8849461 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*d = 182, 2*d + 140 = -3*n - 2*d. Let l be -1*5*n\/5. Suppose 4*w = -0*w + l. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - d = 10, -2*a - 4*d + 1 = -1. Let x be a*1*143\/33. Suppose -20 = -4*y, 0 = -q + 5*q + y - 421. Calculate the highest common divisor of x and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 205 + -227 - (-11 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15346 divided by -2\nAnswer: 7673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33757 or -742629\/22?\nAnswer: -33757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2*(3 + 4\/(-8)). Suppose -s*j - 4*p = 5, -2*p - 40 = -5*j + 3*p. What is the units digit of -3*(j + 46\/(-3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*q - 2*q**2 - 2*q**3 + 5*q**2 + 4 - 2*q - q**4 + 4*q.\nAnswer: -(q - 2)*(q + 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, x: 1, w: 6, j: 2, f: 2}. What is prob of picking 1 o and 1 w?\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -6*q**3 + 4*q**2 - 1. Let t(p) = -3*p**3 - 44 + 0*p**2 + 43 + p**2 + 2*p**2 - p**3. What is 5*n(i) - 7*t(i)?\nAnswer: -2*i**3 - i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 1. Let q(r) = r**2 - 3*r + 2. Let h be q(3). Let o(b) = 6*b**h + 0*b**2 + 2*b**2 + 3 + b**3. Let s be o(-8). Give a(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5\/(-2))\/(2\/(-24)). Let u(w) = w + 9. Let c be u(-4). Solve -5 = 3*f + 4*a, -b = -c*f + 2*f + 3*a for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-4) + -2*9\/36. Let x(h) = 3*h - 1 + 5*h**2 + 0 - 1 - h**3. Determine x(r).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18823714031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 354548 bigger than 354565?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3998937573.\nAnswer: 3, 23, 6439513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49006 is divided by 51.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, f: 1, l: 2, k: 1}. What is prob of picking 1 f and 1 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140196*j - 2*j**2 - 8 + 140196*j.\nAnswer: -2*j**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 283221151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-20026 + 271*s + 20026)*(0*s - s + s**2 + 3*s) to l*s**2 + h + b*s + v*s**3 and give l.\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - 4*h**2 - 4*h + 4. Let o(x) = x**3 + 4*x**2 + 3*x - 3. What is -4*o(j) - 3*w(j)?\nAnswer: -j**3 - 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.424 + -0.576. Put 3\/4, 2\/5, 4, j in descending order.\nAnswer: 4, 3\/4, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2788 is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 - 7*j + 1. Let o be k(-5). Suppose o*a + 56 = 15*a. Suppose -3*d + 15 = -3*q + 8*q, -2*d = 10. What is the smallest common multiple of a and q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 6*y - 48. Let i be g(12). Solve -3*b = w - 2*b - 1, -4*w + b + i = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 24 - 6*k**2 - 5*k - 25*k + 3*k + 5*k**2. What are the prime factors of t(-24)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-204)\/54 + 4 + (-8)\/(-45). Let w = 2 - 2. Let n = w - -0.5. What is the third smallest value in 3, n, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 175ba - -a991?\nAnswer: 2638b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-154))\/(0 - -4 - (-86)\/(-22))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2200.02554 rounded to the nearest integer?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:47 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(108))\/sqrt(12))\/(sqrt(3) - sqrt(324)\/sqrt(12) - sqrt(3)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255066650 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-600)*-70)\/(42\/72).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**3 - 4*y**2 + 5*y - 4. Is a(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*g**3*u**2 + 105*g**3 + 1603*g + 20*u**2 wrt g?\nAnswer: 714*g*u**2 + 630*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k - 18 + 60 = -51 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 19364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 5*o**2 - 1. Let z be a(-5). Let v be 4\/18 + (-7706)\/90. Let j = -86 - v. Is j equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 16*z - 18*z. Suppose -3*g + 4*n + z = 0, g + 10 = 3*g - 2*n. Calculate the remainder when 34 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 27 = -s. Let c be 4\/(-6) + 3\/s. Is -2\/3 greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 6*p**4\/7 + 24*p**3\/7 - 36*p**2 - 1320*p\/7 - 150 = 0.\nAnswer: -5, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -1.1. Let f = x + -0.2. Is f not equal to -0.01?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -244 + 341. Let t = y - 67. Calculate the highest common factor of 150 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x. Let a be (0 + x)\/(4\/(-2)). Solve -3*q + 3*j = 6 + 18, a = -5*q - 3*j - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 30629235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**5 + 324*w**4 + 42498*w**3 - 263624*w**2 + 398463*w - 177660 = 0.\nAnswer: -105, 1, 4, 423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = a - 53038, -11*i - 4*a + 265195 = -6*i. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/sqrt(4)*5*5)\/(sqrt(48)\/(-2*sqrt(6))).\nAnswer: -25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (7 - 0) + 0 + 14\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 44 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 14340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express x**2 + x**2 - 12*x - 4*x**2 - 3*x in the form k*x**2 + y*x + d and give y.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 - -13. Let t = 22 + f. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.062 and 871.4.\nAnswer: -54.0268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -18 + 16 + (10 - 17)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23039, -23052, -23065?\nAnswer: -23078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412572999 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-784)\/(15\/10*1\/(-3)). Suppose 0 = -4*i - 5*s + z, i - 409 = -0*i + 3*s. Round i to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 54. Let g be m(-7). Let a = -148 + g. Solve a*s = 6*s + 8 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 60 = 3*t. Let w = t + -10. Find the second derivative of 3*f**5 + f - 2*f**w - 3*f + f**5 wrt f.\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103590265399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15400 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - r - 4 = 0, -3*r + 21 = 3*z - 9. Suppose -2*x = -3*x + z. Is x a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 - -157. Let v be 11\/((-33)\/(-738)) + (-1)\/(-1). Suppose -3*f + r + 329 = k, -5*r + v = 3*f. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -910900 rounded to the nearest one hundred thousand?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/155155 and -68\/9.\nAnswer: 1396395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -8962163.\nAnswer: -2\/8962163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 398*v**2 - 1626*v**2 + 2 + 192*v**2 - 10*v**2 - 1260*v**2.\nAnswer: -3102*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 15*v**2 + 12*v + 357. Determine z(-9).\nAnswer: -1695","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -4. Let a(p) = -p**2 + 31*p + 120. Calculate the remainder when a(34) is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -163.6 and 119?\nAnswer: -19468.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4 = -20. Suppose 6 - 31 = -5*k. Put k, -5, t in ascending order.\nAnswer: -5, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -42.78834568 to zero dps.\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millennium in months?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6556 (base 7) in base 16?\nAnswer: -928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 40\/15*(-15)\/(-4). Let y = s - 7. Find the second derivative of 2*w**y + 2*w**3 + 0*w + 2*w - w**3 wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 + 23. Suppose -4*m + 0*m - 20 = 0. Let a = p + m. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16514, 66101, 148730, 264401, 413114, 594869?\nAnswer: 809666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of -2212*j**3\/3 - 596*j**2 + 204. Find the second derivative of y(r) wrt r.\nAnswer: -4424","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14\/1963 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 267 - 535\/2. Which is the nearest to 1? (a) s (b) -6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5971 is divided by 103.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2306 - 2305.019. Let r = -1.101 - d. Let t = r + -0.018. Round t to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 6*s**2 + 2. Let v be j(-6). Suppose -v*h = -n - 147, 0 = 3*h + 2*n + 2*n - 215. What are the prime factors of h?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -923159 divided by 2789?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 76 - 8. Calculate the lowest common multiple of (-3)\/(-9) - b\/(-12) and -10*(5\/(-2) + 2).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 (base 14) in base 11?\nAnswer: -44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2 - 68430*l + 1437471.\nAnswer: -(l - 21)*(l + 68451)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b. Let w(t) = t**3 + 6*t**2 - 6*t + 9. Let u be w(-7). Let x(k) = -u*k - k + k. Calculate x(n(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*j = -23*j - 60. Suppose 2*p - j = -p. Calculate the remainder when 38 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 5*i**3 - i. Give u(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t - 8. Let g be a(-11). Suppose -g = -i + 3. Suppose -4*c - 3*v = -i - 8, 65 = 5*c - 3*v. Calculate the greatest common factor of 80 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24259946677 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1179 - 765. Suppose 14*o + 3*y = 17*o - 639, -2*o = 4*y - l. Which is greater: o or 210?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 4. Let d(r) = r + 3. Let n(z) = -4*d(z) + 3*f(z). Let x(b) = b**2. Calculate n(x(j)).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -173 - -422. Suppose 0 = -u - 2*u + s. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 9*h**2 - 6*h - 7. Let i be d(-8). Let q = i - -24. Suppose 5*z - q = 3*j + 3, z - 4 = -j. Calculate the highest common factor of 2 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 218a8bb1 - 1?\nAnswer: 218a8bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6694172.\nAnswer: 2, 1673543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 428 - 431. Put -0.1, z, 1, -0.3 in decreasing order.\nAnswer: 1, -0.1, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -301 + 294. Let s = 7 + u. Solve -5*h = 2*r + 4 - 12, 3*r + h - 12 = s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 3*l + 5*u - 7 = 0, -l = -u - 1. Suppose -m - l*m = -152. Suppose -3*a - 2*x + 23 = 0, 0*a + 5*a - m = -3*x. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9722660 divided by 2430665?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -43. What is the highest common divisor of 42 and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.76178 to one decimal place.\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1531, -3175, -4813, -6433, -8023, -9571, -11065?\n\"Answer: 2*j**3 - 9*j**2 - 1631*j + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 12. Let z = -2505 + 2505. Determine x(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - w = -81, 76 = 5*r - 4*w - 41. Let h(o) = 3*o**3 + 2*o**2 + 2*o. Let v(t) = -10*t**3 - 7*t**2 - 7*t. Give r*h(u) + 6*v(u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 2*s + 8. Suppose 0 = 3*a - a - 110. Let x(q) = 29 + 27 - a. Let m(j) = 2*j**2 - 9*j + 3. Let o be m(4). What is o*u(p) + 6*x(p)?\nAnswer: -2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1\/43, 3425, -1 in ascending order.\nAnswer: -1, -0.2, 1\/43, 3425","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**5\/10 + p**4 + 8*p**3\/5 - 29*p**2\/5 + 33*p\/10 = 0. Calculate p.\nAnswer: -3, 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*98*(-1)\/(-2). Let i be (-1)\/4 + v\/28. Solve 0*o = i*o + 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 6093778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 323, -1929, -4207, -6511, -8841, -11197?\n\"Answer: -13*t**2 - 2213*t + 2549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.37 - -0.07. Let k = 1.2999848 + c. What is k rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25014 - -39874. Is a a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7\/972 - 2329\/972. Find the common denominator of n and 91\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 4*v**2 - 31*v - 78. Calculate u(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2644512 (base 7) to base 16.\nAnswer: 54cea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 a factor of 27839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 144 + -17091 + 16977.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 6 + 4)*(0*w - 2*w + 4*w) + (6*w - 5*w + 13*w)*(-3 - 1 + 5)*(-3 + 2 - 1)*(-2 + 1 + 3) to y*w + f and give y.\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-1))\/2 + 0. Let i = 10 - 10.04. Let g = -0.24 - i. Which is the nearest to u? (a) 2\/11 (b) 5 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j\/j**(1\/7)*j*j)))**(-1\/5)\/(j**(33\/4)*j*j*(j*j*j**(-34))\/j) assuming j is positive.\nAnswer: j**(621\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5389, 21929, 49247, 76565?\n\"Answer: 27318*d - 32707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -434224, -434212, -434192, -434164, -434128, -434084?\n\"Answer: 4*k**2 - 434228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + 2 + -5*sqrt(2057) - sqrt(2057)*-2*3) + -4)**2.\nAnswer: -88*sqrt(17) + 8232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 355 - 658. Let b = w - -305. Solve -3*c = -1 - 5, -5*c + 14 = b*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 9*a**2 + 34*a - 14. Let g be v(12). Put g, 26, -3 in increasing order.\nAnswer: g, -3, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.2 + -9.2. Let t = 6 + g. Let f = -3707 - -3713. Which is the third biggest value? (a) f (b) t (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2650631?\nAnswer: 157, 16883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*t - 222 = 42. What is the remainder when 70 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h + 2. Let c be u(17). Let s = c + -7. Solve 5*d = -l - s, 3*l = 5*d - d + 8 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**2 + 6*o + 17. Let u be f(-1). Suppose -u*h + 1 = -7, 3*n - 239 = 5*h. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14825 + -14825. Let a(t) = t + 8. Let x be a(-5). Suppose -5*m + 19 = 3*v - 4*v, v + 13 = x*m. Solve 3*g = -l*g + m for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57375335?\nAnswer: 5, 11475067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = 4*k - 324. Let s = 91 - 45. Let f = -22 + s. What is the remainder when k is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -101*y - 2. Let n = -13 + 9. Let i be g(n). Suppose 5*u = -4*q + 353 + 272, -3*q = -3*u + i. Is 43 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 264647, 5, -0.5, -3\/2 in descending order.\nAnswer: 264647, 5, -0.5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 1746*a - 1747*a - 2*h, 3*a + h = -23 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*w**4 - 12*w**4 - 12*w**4 + (-2*w**3 + 3*w**2 - 3*w**2)*(-4*w + 4*w - 2*w) + 2*w**4 + w**3 - w**3 + 2*w.\nAnswer: -2*w**4 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 2, 0.17, 3, -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + w - 10 = 0. Solve 0 = 4*t - 6*t + w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -451*t - 2*r = -452*t + 5, -4*r - 22 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2. Let n be (2 + 1\/(-1))*1. Let z be (-1*-1*2)\/n. Let q(p) = 0*p**2 + 5*p**2 - 2*p**z. Give s(q(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 + -0.09. Let w = 0.03 - l. Let j = -33\/2 - -16. Which is the nearest to 0.1? (a) w (b) -5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 + 2*g - 33. What is f(0)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2806 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 227, 445, 663, 881, 1099?\n\"Answer: 218*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -5)\/(3 - 2). Let v be s\/2*-2 - 1. Let q(b) = 4*b. Let k(j) = -40 + 5*j + 3 + 33 + 4. Give v*k(w) - 6*q(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/5 - 1133*y**2 + 16778672*y\/5 - 10283944404\/5 = 0 for y.\nAnswer: -7941, 1138","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 59.4 - 0.5\nAnswer: 58.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3449*j**4*u - 7*j**2*u + 223*j**2 - j*u wrt j?\nAnswer: -82776*j*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 5*u = -0*k - 16, -k + 2*u + 8 = 0. Let a be (k\/28)\/(1\/7). Factor -6*w**a - 4*w**4 - w**3 - 2*w - 5*w**3 + 2*w**4.\nAnswer: -2*w*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 6 - 3)*(37*r - 16*r + 24*r) in the form m*r + k and give m.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349529*v + 349543*v + 7 - 11 + 4.\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*f**3 - 8112*f**2 - 863*f - 155549826 wrt f?\nAnswer: -6*f**2 - 16224*f - 863","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15234?\nAnswer: 2, 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 - 12*y**2 + 11*y + 4. Calculate w(-13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000380672511 to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 3 (c) -0.4 (d) 19109\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/916792 and 97\/20?\nAnswer: 4583960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -14. Let s be (1*(-1 + d))\/1. What are the prime factors of 3\/(s*1\/(-3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - 7. Suppose -10*u = -41 - 19. Suppose -11*v**3 + 5*v**3 + 3*v**2 + u*v**i - 9*v**4 + 6*v**5 = 0. Calculate v.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*o - 4 = 6, -5*d + o + 36 = 0. Solve 0 = -f - d*f - 32 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 AM and 3:18 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 5*y**2 + y - 1. Let t be d(5). Let k(n) = -33*n - 7. Let v(q) = 32*q + 6. Let u(z) = t*k(z) + 5*v(z). List the prime factors of u(1).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**4\/3 + 35*y**3\/3 - 32*y**2 - 4*y\/3 + 128\/3 = 0.\nAnswer: -1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 - w + 1. Let k(r) = 2*r**4 + 83*r**3 - 273*r**2 + 271*r - 89. Let m(y) = -k(y) + 3*o(y). Factor m(p).\nAnswer: -2*(p - 1)**3*(p + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 267030516 and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 PM and 9:55 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000184287 rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13205602 is divided by 15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 10*v - 30. Solve 2*k + 2*i = i - v, 0 = 4*k - 2*i + 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*w**5 + 3345*w**4 + 7*w**2 + 5572082*w.\nAnswer: 40*w**3 + 40140*w**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218, -437, -656, -875, -1094?\nAnswer: -1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -a*f**2 + a*p**2 - 4*a*p + a - 78*f**2*p**2 - 3*f**2 wrt p?\nAnswer: 2*a - 156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 343 - 181. Let k = t + -162.83. Round k to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) 9\/7 (c) -4\/19 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5 - -11)*(-4)\/(-3). Let i(n) = 2*n + 5. Let z(l) = -4 - 5*l - 9 - 1. Calculate q*i(x) + 3*z(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 12217417181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/((w\/(w\/(w\/(w**15\/w)*w)))\/w*w))\/w)\/w)\/w)\/w*w\/(w*w\/(w*w**(-1\/2)\/w)) assuming w is positive.\nAnswer: w**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-432)\/42)\/((1450\/840)\/(-29)*(-135)\/75)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*d - 13*d**2 - 27*d**2 + 44*d**2 to the form s*d + n*d**2 + g and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -339, 0.07, -4, 0.09, 1\/5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 24816432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2684 is divided by 1265.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, and 1 g when three letters picked without replacement from ggggkkddykgkg.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/5040 and -49\/285984.\nAnswer: 10009440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2) - sqrt(32) - ((sqrt(18) - sqrt(2)) + -2)) + -2)**2 + (2*(3*(3 + sqrt(2)) + 3))**2)*-2.\nAnswer: -1396 - 576*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.5 + 3. Let n = -14.9 + 14.7. Which is the biggest value? (a) -4 (b) n (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 6 - 12. Suppose 0 = -k*n + n + 13. Let g(m) = -m**2 + 17*m - 8. List the prime factors of g(n).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -14*w**2 - 51*w + 65. Let h(s) = 24*s**2 + 103*s - 131. Let b(g) = 3*h(g) + 5*u(g). List the prime factors of b(-36).\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72 - (42 + -36)) + 115\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 66571?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -434 + 435. What are the prime factors of j\/(-6) - (-3729)\/18?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 0. Let n = s + 4. Let d = n + 3. Let q(o) = o**3 - 3*o**2. What is q(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10373834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {b: 5, e: 3, z: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (173\/(-1211))\/((6\/(-7))\/2)*-3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11714.54541 rounded to the nearest integer?\nAnswer: 11715","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 10*q = 402. Let i = 70 + q. Suppose -124 = -o + i*f, -4*f - 172 + 544 = 3*o. Calculate the remainder when o is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**(-7))*(a**11\/a)\/a)\/(a**(-1\/6)\/a*a**(-2\/3)\/a) assuming a is positive.\nAnswer: a**(113\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13383 - 14494. Sort 4, s, 0, 3 in decreasing order.\nAnswer: 4, 3, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -3*y + 9. Let g = -542 + 549. Let z(i) = -27 + 7*i + 13*i - 11 + 1 - g*i. Calculate -9*r(w) - 2*z(w).\nAnswer: w - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201878205 and 3930.\nAnswer: 1965","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**3*u*v + n**3*u + 619398*n**3*v - n**3 + n**2*u*v - 5865*n**2*v + 35*u wrt n?\nAnswer: -6*u*v + 6*u + 3716388*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -294 - 2*b + 3*b - 1316 - 698 as m*b + o and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -66634 or -66821?\nAnswer: -66821","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(325)*-1 - sqrt(325)) + -4 - (5 + -2*sqrt(325)))**2.\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -12. Let z = 2 - a. Suppose -i + 3 = 0, 20 = 2*l - 4*i - z. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l + 198 = -77*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, 1 w, and 1 l when four letters picked without replacement from {l: 1, j: 1, g: 2, f: 1, w: 2}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, 0, -10379, 1.46, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-41)\/(164\/960)*-229. What is c rounded to the nearest one thousand?\nAnswer: 55000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (17161\/2)\/(300\/600)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22259 - 22085. Calculate the remainder when 366 is divided by g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5 - 34*l**4 + 208*l**3 - 560*l**2 + 672*l - 288 = 0. Calculate l.\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4)*4\/(-6). Suppose l - y = 1. What is the smallest common multiple of 0 - (-3 + (l - 3)) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in 2, -7, 556?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.4, -4, -6898, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-58)\/21 - 2) + 1 and ((-98)\/(-5))\/(756\/60 - 9) - -2.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2662025, -2662028, -2662031, -2662034?\nAnswer: -2662037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - 3*o**2 + 2*o - 1. Let g be n(2). Let k = 122\/15 - 8\/15. Calculate the common denominator of k and 135\/4*g\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b - 10. Let i(c) = -2*c + 1. Calculate -3*i(y) - p(y).\nAnswer: -6*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-220)\/(-2380) - (-48)\/(-204)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15374 - 15416 - 15358 + 46148 + 4*s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2057, 1\/4, -18, 1\/7 in ascending order.\nAnswer: -18, 1\/7, 1\/4, 2057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b**3*s*x**3 - 103*b**3*t**3*x**3 - 5*b**2*s*t*x**3 + 7*b**2*t**3 - 3*b*t**3*x**2 - 2*b*t**2*x**3 + b*t*x**3 wrt b.\nAnswer: 12*s*x**3 - 618*t**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 3, -5, -34, 310.\nAnswer: -34, -17, -5, 3, 310","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.14, -1\/2, -0.1, 1\/3407?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/196*-2*(-6)\/9?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*g + 3, 4*g + 298*z - 3 = 301*z. Which is the second smallest value? (a) g (b) 827 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(336)*4 - (sqrt(21) - sqrt(63)\/sqrt(3))*-4)\/(sqrt(3888)*-3).\nAnswer: 5*sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y = -4*a - 30*y - 40, 5*a = -2*y - 17 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 138348 and 488?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1202001322 (base 4) to base 5\nAnswer: -100322110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462048049 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/8*-10*(-16)\/(-100)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (1452\/60 + -25)*(1 + (-22)\/(-3))\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n. Suppose -2*b - b - 9 = 0. Let d(v) = 6*v - 2. Let x(k) = 7*k - 3. Let r(y) = b*d(y) + 2*x(y). Give r(q(o)).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 281784 to the power of 1\/2, to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1206679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29808)\/(-1006020)*54\/(-8).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 88*q**2 - 149*q - 1710. Is 25 a factor of g(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-27) - 167134\/(-22446). Let l = s - 2\/1247. Calculate the common denominator of (-2)\/(-5)*114\/(-4) and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, 25, 86, 171, 280, 413, 570?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/7)\/(7\/(-49))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*d + 0 - 6 + 14*d**2 + 6 - 13*d**2 = 0.\nAnswer: -256, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7847*h - 7935. Give y(-1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -102261248, -102261247, -102261246, -102261245, -102261244?\n\"Answer: s - 102261249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-20)*-2*(108388\/(-49))\/(-79).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-8))\/((g*g**(12\/13)\/g)\/g))**(-23) assuming g is positive.\nAnswer: g**(-2714\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (14\/(-126))\/(8\/(-192)). Let b(d) be the first derivative of 0*d - 3 + j*d**3 + 0*d**2. Let r(x) = -x**2. What is b(r(m))?\nAnswer: 8*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lllllll. Give prob of picking 4 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**5\/20 - s**4\/12 - s**3\/6 - s**2 + 18*s. Calculate t(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32914\/21*(-6)\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a year in months?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -13*s**3 - 14*s**2 + 8*s + 19. Determine k(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of -k**6\/60 + k**5\/30 - k**4\/8 - 7*k**3\/6 - k**2. Let i be g(-5). Let h = i + -128. What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5\/(-2) + 2)*-78. Calculate the greatest common factor of 429 and h.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27404 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -195937, -195933, -195935, -195949, -195981?\nAnswer: -196037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -771\nAnswer: -7\/771","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 1 in ascending order.\nAnswer: -4, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-39)\/65)\/((-54)\/20). Let a be (-4)\/(-2)*1\/(-2). Do a and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmr when three letters picked without replacement from mmrmrr.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3) + (-22)\/(-6). Let x = 24 + -6. Let f = -8 + x. Solve 2*i - 4 = 5*o, f = o - 0*o - a*i for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0*(2 + (-3)\/3))\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 a when two letters picked without replacement from kmyaamyaaaam.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**3 + 14*j**2 + 16*j + 44. Let o be q(-13). Solve -5*k = -o - 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let l = -0.247 + 1.243. Let a = l + t. Round a to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 125, 0, -3, 16, -4 in increasing order.\nAnswer: -4, -3, 0, 16, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 5*w - 34, w - 7 = -9. Let z = 78 - 21. Calculate the remainder when z is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 20*j**2 - 7*j + 14. Let i(c) = c**3 + 23*c**2 - c - 43. Let s be i(-23). What is the hundreds digit of v(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 11*i + 9. Let q be n(8). Let x = q + 18. Suppose -x*b + 52 = b. Calculate the highest common divisor of b and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4556 - -4561. Let i = 3.1 - 3. Let m be -5*(-6)\/75*-10. Which is the nearest to i? (a) s (b) 2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 343 (base 8) to base 9.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 130574 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((4 + sqrt(1053) + 4)*-1 - 1*4*(sqrt(1053)*4 - sqrt(1053)))*-2)**2.\nAnswer: 7488*sqrt(13) + 712084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 187\/30 and 139\/198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 12, 81093, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 126 + -121. Solve 7 = -c*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -18*i**2 - 38*i + 38. Let l(j) = 43*j**2 + 81*j - 75. Let u(r) = -3*l(r) - 7*t(r). Give u(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*a - 10, -10*a = -14*a - v - 6 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1642, 1638, 1634?\nAnswer: 1630","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10299, 10260, 10221, 10182, 10143?\nAnswer: 10104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*n = -4, n + 18 = h - 2*n. Let j = h - 6. Suppose -2*l + 6 = j, -3*r - 3 = -0*l - 4*l. What is the remainder when 9 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -1. Let f be 1673\/(-956) + ((-8)\/2 + 2)\/(-1). Sort j, f, -3 in ascending order.\nAnswer: -3, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -34*v - 1016. Give q(-36).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 228 is divided by 73.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 + 199*h**2 + 35696*h - 7113204 = 0. What is h?\nAnswer: -189, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/(-18))\/((-72)\/(-288)))\/((-1)\/(-21))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -1 + (-6 - -2) + (5 - 0)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 2*f**2 - 2*f**3)*(-6*f + 3 + 13*f - 5) + f**4 - 3*f**2 + 3*f**2 + (-3*f**3 + f**4 + 3*f**3)*(1 - 2 - 1).\nAnswer: -15*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -906 + 1793 - 887 - 77032*c**3.\nAnswer: -77032*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 8:30 PM?\nAnswer: 1:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let l be j(-3). Let h = -44 + 45. Solve -5 = -l*b + h for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/275)\/((-4)\/88).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-1)*7\/(-2 + -5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.38834391 rounded to three dps?\nAnswer: 86.388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87 = -3*h - 384. What is the common denominator of -19\/8 and h\/4 + 1 + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(13) + sqrt(117) + 5)**2.\nAnswer: -1398 - 240*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 (base 8) in base 15?\nAnswer: -4e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 123\/(-3)*1 - -3. Let y = h + -3. Let s = -38 - y. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -24 in -0.6, -5, -1, 0, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -122468129 smaller than -122468129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1559 divide 84818954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -12. Put 3, i, -11 in decreasing order.\nAnswer: 3, i, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 + 0*h**2 - 2*h**2 + (2 + 2 - 6)*(3*h**2 - 5*h**2 + 4*h**2) + 0*h**2 + 0*h**2 + h**2 - 2*h**2 + 0*h**2 + 3*h**2.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 240, 391, 544, 699, 856?\nAnswer: 1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -307 + 268. Let h be 18\/(-272)*52\/i. Which is the fourth smallest value? (a) h (b) 0.5 (c) -0.2 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gjcjygmjyycj. Give prob of sequence my.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1419, 2804, 4171, 5508, 6803, 8044, 9219?\n\"Answer: -2*b**3 + 3*b**2 + 1390*b + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75912, -151873, -227834, -303795?\nAnswer: -379756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 2*t**2 + 12. Let a be y(-8). What is the greatest common divisor of 36 and a?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 6039, 6011, 5947, 5829, 5639, 5359?\n\"Answer: -3*d**3 - 7*d + 6049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 - (-80 + 48)) + -2 + 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 + 74. Let u = j - -46. Solve -u*d - 2*i + 4 = 0, -3*i - 2*i - 4 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -9, -1\/2, 5, 3, -5, 53.17?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 11\/4 of a day?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1979906, 1979909, 1979910, 1979909, 1979906?\nAnswer: 1979901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2 + 3 + 2 + 2*i + 11*i**2 - 9*i**2. Determine n(-3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 481*k**3 + 12 + 75*k**3 - 36*k**2 - 9 - 3 wrt k?\nAnswer: 3336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1380242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 22209337\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106579967?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3521 and 8162?\nAnswer: 4105486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 6*j = j - 34, -4*f + 3*j = -54. Let o be f\/(-21)*14\/(-4). Suppose o*n = n. Sort n, 3, -2 in ascending order.\nAnswer: -2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 6*c**2 - 1\/20*c**5 + 3\/8*c**4 - c**3 + 0 + 0*c. Factor g(z).\nAnswer: -3*(z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by -7.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -7, 41204541?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -33272 (base 9) to base 16\nAnswer: -5651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 254 + -249. What is the closest to 2\/7 in 3, u, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y**3 + 89*y**3 + 0*y**2 + 0*y**2.\nAnswer: 95*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 320?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 220*a + 44576. What is v(-202)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 476 and 3708278?\nAnswer: 7416556","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - -25. Let n(f) = -f**3 + 4*f**2 + 3*f - 6. Let s be n(4). What is the highest common divisor of c and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a\/(a*a\/(a\/((a\/(a*a**(-6)))\/a))))**(-3) assuming a is positive.\nAnswer: a**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5940 and 2376?\nAnswer: 11880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -33*a + 46*a - 26*a - 22*a in the form s*a + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4311313 (base 5) to base 11.\nAnswer: -4a699","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 852, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8 = -0, -4*v + 10 = -2*s. Let u(f) = f**2 + 8*f + 3. Let a be u(-7). Let g = 9 + a. What is the third biggest value in s, -3, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-42 + 15 + 9)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*n = -59*n - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*a - 34*p + 39*p, 2*p + 14 = -5*a. Let b be (-8)\/16*(-4)\/(-2). Sort b, a, -3, 9.\nAnswer: -3, a, b, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1270190?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4305 and 1640.\nAnswer: 34440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -47*y**2 - 2*y - 1. Let v be h(3). Let t be v\/(-14) + 6\/21. Suppose 2*j + 7 = t. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3 - 12*n**2 - 109700*n + 77629057.\nAnswer: 6*n**2 - 24*n - 109700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 1022?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 59*u**2 - 5*u. Suppose -15*l - 26 = -17*l + 4*z, -4*z = 3*l + 1. Let x(n) = 207*n**2 - 18*n. Determine l*x(g) - 18*o(g).\nAnswer: -27*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1. Let w(u) = 3*u + 13. Let h(q) = 6*j(q) - w(q). Let f be h(-7). Solve 2 - 6 = -c + 5*k, -f*c - 5*k + 8 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160 a factor of 16447680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a century in months?\nAnswer: 3120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 204233 is divided by 6382.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 520 - 522 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636*g**2 - 660 - 1444*g**2 + 809*g**2 + 2*g - 2*g.\nAnswer: g**2 - 660","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -9*x**2 - 3*x + 2. Let v be i(2). Let u = 64 + v. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 455*j**3 + 191651*j**2 + 40420*j + 1684 = 0. What is j?\nAnswer: -421, -2\/13, -2\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*y - 191 + 38 = -y - k + 20, k - 2 = 0 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -123*c**4*r - 2*c**4 - 3*c**3*r + 9*c**3 - 102763*c**2 + 2*r wrt c.\nAnswer: -2952*c*r - 48*c - 18*r + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 9:03 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 9:35 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.77 - -7. Let b = -0.22744 + u. What is b rounded to four dps?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -18. Solve -1 - 5 = -j*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3814073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + w - 16 = 0, -87 = 5*z + 2*w + 28 for z.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10467530?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.2 (b) -2\/7 (c) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -14524 divided by 3631\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 10. Calculate the greatest common factor of y and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r = 158 + 62. Is 2\/11 + 15022\/r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10110 (base 6) to base 14\nAnswer: -6b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 5. Let u = t - 1. Let q = 12 + u. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231 a factor of 1127049?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -11 + (1 - -1 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7267 divided by -13\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19*s + 452*s**2 - 32*s + 13*s + 2 + 1 to j*s**2 + i + v*s and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40626180?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 229287 to the nearest integer?\nAnswer: 479","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 + 24*j. Give u(7).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m + 28. Let p be d(0). Suppose 8*q + p = 4*q. Let n be (-1 + -41)*1500\/q. Round n to the nearest 1000.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/23)\/((n*n*((n\/n**(-2\/15))\/n)\/n)\/n)*(n*n*n**(6\/5)\/n)\/(n**7*n) assuming n is positive.\nAnswer: n**(-2077\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**5\/25 - 29*g**4\/15 + 124*g**3\/15 + 625*g. Factor d(b).\nAnswer: -4*b*(b - 2)*(b + 31)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, m: 2, u: 1, o: 1}. Give prob of picking 2 m, 1 o, and 1 q.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, k: 7, v: 9}. Give prob of picking 1 p and 1 v.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 174*q + 13400. Give n(-77).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-9)*1584\/(-1232)?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 7 = 5*z. Let c(v) = v**3 + 2*v**2 - 1. Let d be c(1). Suppose -q + d = -z. Solve q = -2*x - p, 0 = 5*x + p - 0*p for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280 a factor of 497827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 - 4*d**5 + d**5 - 177*d**5 + 96*d**5 + 106*d**5 + d**5 + 2*d**2 - 2*d**2 + (-1 + 1 + d**4)*(2 - 2 + d) + 2*d**5 - 3*d**4 + 3*d**4.\nAnswer: 27*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -s + 118. Let h = 535 - s. Let m(y) = 16*y - 289. Let p be m(20). Calculate the greatest common factor of h and p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 6*z - 4352, -3*z = -51*n + 46*n - 2191. Which is the second biggest value? (a) z (b) 2\/7 (c) 0.5 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 683 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhof when four letters picked without replacement from llhflhowxoxox.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(91) + 1*sqrt(91)) - sqrt(91))*2*6)\/((sqrt(567) - -4*(sqrt(567)*2 + sqrt(567)))*6).\nAnswer: 22*sqrt(13)\/117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**4 + 2*z**3 + 7*z**3 - 10*z**3 + (-1 + 1 - 1)*(z**4 - 2 + 2).\nAnswer: -2*z**4 - z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/(1\/((-28)\/(-60))).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5598427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4 = 3*g, -2*g + 4*r + 20 = 4. Suppose s - 2 - 1 = g. Solve -z = 5*t - 7, -s*t - 3*z - 1 = -10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 - 38. Suppose r*m - 2*v - 111 = 0, v = m - v - 19. What is the remainder when m is divided by 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -42*r**2 - 2*r - 15. Let l(i) = -16*i**2. Calculate v(l(n)).\nAnswer: -10752*n**4 + 32*n**2 - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 77, 3, 4, -2 in ascending order.\nAnswer: -3, -2, 3, 4, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 99*o - 1. Let b(h) = -33*h. What is -7*b(c) - 2*n(c)?\nAnswer: 33*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -548, 9\/8, 0, 373\/2.\nAnswer: -548, 0, 9\/8, 373\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 619*i**2. Let j(s) = 4*s**2. Calculate k(j(d)).\nAnswer: 9904*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -604\/17?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - 9*t**2 + 21*t + 5. Let g be p(-11). Calculate the highest common factor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 405143257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, d: 7}. What is prob of sequence ddh?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/(-204)*90\/(-50)?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3271*f - 272 - 1087*f - 1089*f - 1094*f.\nAnswer: f - 272","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -642, 1, 19, 6, -47 in decreasing order.\nAnswer: 19, 6, 1, -47, -642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9548757191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 81\/18)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cncn when four letters picked without replacement from cvnccoyyobcnc.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**5\/30 + f**4\/8 + f**3\/2 - 59*f**2 - 6. Give u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 7. Let c = 73 - 68. Let o(v) = 31 - 23 - c*v - 23. Give 7*i(t) - 3*o(t).\nAnswer: t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 89*q**3 + 10*q**2 - 19*q + 93. List the prime factors of a(5).\nAnswer: 3, 17, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 2*m - 30. Which is the closest to 9? (a) -0.4 (b) m (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**6\/180 + r**5\/90 + 2*r**2 + r. Let u(b) be the first derivative of m(b). Let u(x) = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l - 0*l. Let a be -1 + 1 + (-5)\/l. Let d(h) = h**3 + 7*h**2 + 8*h - 8. Let b be d(-5). Solve a = b*t + 11 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -9*t + 1. List the prime factors of k(-6).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*l + 6*l + 2 = 0, 3*l - 6 = 0. Suppose a + 3*h - 997 = o, 5*a + 36*h = 41*h + 5025. Is a a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3)\/(-7) - (-291)\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1958*n**3 + 1899*n**3 - 5702*n**3 + 1895*n**3.\nAnswer: 50*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + x**2 + 3*x + x**3 - 3*x + x - 2*x**3 as s*x + u*x**3 + v*x**2 + g and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1536))\/(-1*sqrt(48)\/sqrt(4)) + 1 + (sqrt(6)\/sqrt(27) + (sqrt(66)\/sqrt(3))\/sqrt(11))**2 + 2.\nAnswer: 59\/9 + 16*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/21 - -2*(-1)\/(-6). Suppose 0 = 53*d - 58*d - 25, 3*n - 3*d - 15 = 0. Solve n*m + 5*m + m = j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)*-4*-5 + sqrt(192))\/(sqrt(324) + sqrt(324)*2 + 2*sqrt(324)).\nAnswer: 28*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*f**3 + 5*f**2 - 40*f + 25 = 0 for f.\nAnswer: -5\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 - 1)*(z + 2*z - z + (-z + 0*z + 0*z)*(-3 + 3 - 1)) as r + n*z and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.05 - -0.45. Let c = -0.6 + h. What is the third smallest value in 3\/8, c, 0.08?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(1 + 6134*w + 6366*w - w**2 - 12033*w).\nAnswer: w**2 - 467*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*q + q - 30 = 0, 0 = -x + 5*q + 22. Suppose -4*y - x + 93 = 0. Solve -16 = 2*w - 2*h, -3*w + 3*h - y = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(2 + sqrt(11)))**2 + sqrt(11) + -3*sqrt(11)*-4.\nAnswer: 15 + 17*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 2 - (66 + 1). Let p(h) = -h**3 - 11*h**2 + 3*h - 12. Let m be p(-11). Let s = m - f. Does 24 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49937521951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16468 and -18.4.\nAnswer: 303011.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 53.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7642.761nm in millimeters?\nAnswer: 0.007642761","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, 1\/6, 141, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 4\/5, -3, -21?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -75*i**3 + 9466740*i**2 + 7573428*i + 1514688.\nAnswer: -3*(i - 126224)*(5*i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 + 42. Let l = k - 22.2. Let v = 0.1 + l. Which is the closest to 0? (a) -1 (b) v (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962593?\nAnswer: 599, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 2 g when four letters picked without replacement from {o: 3, z: 4, p: 1, g: 3, u: 3, s: 1}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23888 - 23884. Which is the closest to -12? (a) k (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11261283823 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440 - -3670.538?\nAnswer: 5110.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of 89951*j**5\/30 + j**4\/4 + 2*j**3\/3 + 3*j**2 + 31*j. Let z be k(-1). What is z rounded to the nearest 10000?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 7)*(66\/(-8) + 225\/60).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 63 - 45. Calculate the remainder when 70 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2081 is divided by 412.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 4*t - 2. Let q = t + 11. Let d be ((-30)\/8)\/3*(3 - -1). Is q greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2705 + -2704.85. What is the second smallest value in -1, j, 26?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/15)\/(-11)*-3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*k**3 - 2 - 5 + 4*k**3 with respect to k.\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179.36mm in kilometers?\nAnswer: 0.00017936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 - n - 1. Suppose -4*a + 2*a = -6. Let p(y) = 6*y - a*y + 4 + 2. Let u(w) = -3*o(w) - p(w). Solve u(g) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 97 by -26642.\nAnswer: -97\/26642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1405*v + 1402*v = -h - 37, 4*v - 6*h = 7*v + 138 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {f: 1, c: 1, e: 1, g: 2, x: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1314 - 13?\nAnswer: 1301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 5, -1194, 2\/13, -2\/7?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(99) + 1 + 1 + (sqrt(99) - (-5 + -1 + sqrt(99))) + sqrt(99)*-1*2 + 5)**2.\nAnswer: -66*sqrt(11) + 220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -38 - 25695c?\nAnswer: -256997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h**2 + 4*h**2 - 2*h**2)*(-4*h + 5*h + h) - 15*h**3 + 18*h**3 + 21*h**3.\nAnswer: 26*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29505107?\nAnswer: 179, 191, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69, 88, 107, 126?\nAnswer: 145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 36\/3 - 0\/(-1). Let h = -8 + s. Suppose d - h = -3. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1372) + 3*sqrt(1372) - sqrt(1372) - sqrt(1372))\/sqrt(144) - (-2*sqrt(49)*4)\/(sqrt(252)*1).\nAnswer: 11*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - 1) + (-1 - -7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 6:20 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k + 10*k - 2*k)*(16*k**2 - 3*k**2 + 34*k**2).\nAnswer: 517*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2293.\nAnswer: 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 7*k + 7. Let f be u(-8). Let h be 22 - f - (-1 - 1). Let b be 0\/(-2) + 36\/h. Is b less than 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(5\/3)\/y*y**(-11)*y*y**(-11)*y**(-2) assuming y is positive.\nAnswer: y**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -220 in 14\/53, 4\/5, 1\/3, -0.1, 156\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 = -196*b - 200 - 177 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 471821 or 0.1?\nAnswer: 471821","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 844 is divided by 278?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*d - 2 + 6 + 4 - 2*d - 4 + (-5 + 1 + 2)*(-2*d + 0*d + 4*d) - 2*d - d + d - 54 + 54 - 65*d to k*d + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + -1 + 11 - (284 - 238).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 - (-30 - -28 - -15).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-45))\/((-2)\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/(-3))\/62*24.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2a310d (base 14) to base 7\nAnswer: -15323416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -2?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, e: 1, t: 5}. What is prob of picking 1 t and 1 e?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6 and -46.4?\nAnswer: -27.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 219630?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 33471.34 centuries in months?\nAnswer: 40165608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i**2 - 7*i - 5. Let d(v) = 21*v**2 + 6*v + 40. Let h(f) = -10*f**2 - 3*f - 18. Let w(c) = -4*d(c) - 9*h(c). Determine 6*p(y) + 14*w(y).\nAnswer: 12*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/8, 2\/73, 5, -3\/5, 2\/7 in decreasing order.\nAnswer: 5, 2\/7, 2\/73, -3\/5, -5\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3053*f**3*k**2*s**2 + 25458*f**3*s**2 - 2*f**2*k**2*s**2 + 1200*f**2*s - 14*f*s**2 - k**2*s**2 - 91*k**2 + 8*k*s wrt f?\nAnswer: -18318*k**2*s**2 + 152748*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**2. Let l(i) = -253*i**2. Determine l(h(t)).\nAnswer: -253*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -122, -247, -400, -569, -742, -907, -1052?\nAnswer: -1165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -1.7. Let k = -0.8 - f. Suppose -u = 5*y - 2*u + 26, 0 = -y - 5*u. Which is the second smallest value? (a) 0.3 (b) k (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2492 - 16*q + 40 - 489 + 13*q to the form a*q + o and give o.\nAnswer: -2941","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 2*o + 30, o - 6*o - 33 = -2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*3*((2*sqrt(80)*1 + sqrt(80))**2 + sqrt(80)*1*-2)*-6 + -1.\nAnswer: -25921 + 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13849.35 months?\nAnswer: 11.541125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 398?\nAnswer: -796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3. Suppose a = -v - 2 + 8. What is the first derivative of 2 - s**4 - v*s**2 + 6*s**2 wrt s?\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -29\/120*c**6 + 24*c**2 + 0*c**3 - 35\/12*c**4 + 3 + 1\/60*c**5 + 0*c. What is the second derivative of p(d) wrt d?\nAnswer: -174*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -18*y**5\/7 + 412*y**4 + 207386*y**3\/7 - 49108*y**2\/7 - 29624*y + 46224\/7 = 0.\nAnswer: -54, -1, 2\/9, 1, 214","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 + o**2 - 2*o - 72. What is the units digit of p(8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 664 is divided by 306?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 123236143 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**3 - 24*z**2 + 162*z + 730. What is f(-15)?\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 232 - 213 = 0. Let o = -9343\/21 + z. Which is the second biggest value? (a) 1\/8 (b) -2\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3176 + 3542. Calculate the greatest common divisor of g and 610.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.8? (a) -2.84 (b) 29 (c) 5 (d) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 1906844*p. Let j(k) = 2*k. Give j(x(l)).\nAnswer: 3813688*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001087374 rounded to five decimal places?\nAnswer: -0.00109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15062536 (base 7) to base 8.\nAnswer: -5343320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 47 + -38 - -169*3\/(-57)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -3 + (-3 - -5 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q + 284 = -42*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2.5. Let f = 2 - 2. Let x = 0.3 + f. Which is the third smallest value? (a) v (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*u + 672 = -69*u + 15*u for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14? (a) -2\/7 (b) -2\/3 (c) 20\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((-18)\/(-1)) + (445\/210 - 2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1733 - 12129\/7. Which is the nearest to k? (a) -1 (b) -1\/5 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192422 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z - m + 11 = 0, 3*z + 2*m = 7. Solve -4*o + z = -3*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -349 + 380. What is the remainder when 247 is divided by a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 5*o - 458, 2*t = 4*t + 3*o - 318. Are t and 155 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -1417?\nAnswer: -1421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 15749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z - 3*z + 3*z)*(-3 + 2*z + 3)*(-6 + 6 - 4*z).\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v + 4. Let w(m) = m. Let t(i) = -2*i - 19. Let z be t(-8). Let s be w(z). Give c(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k - 6. Let g(s) = -s**2 + s + 1. Let p be g(0). Let w(v) = -4*v**2 + 75*v + 481. Let t be w(-5). Let l(i) = 1. Determine p*f(n) + t*l(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3194\/21 - 152. Let t(z) be the first derivative of -2\/7*z**2 + 7 + 0*z - g*z**3. Find p such that t(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*q - 83*q + 17*q**2 + 173*q.\nAnswer: 17*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -704, -706, -708, -710, -712, -714?\n\"Answer: -2*y - 702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/17 (b) -2 (c) 279982 (d) 2\/11 (e) 1\/7 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from {u: 2, j: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2806 and 207?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - 21*x - 57. Let k be i(-18). What is the second smallest value in k, -1, 4\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(-3))\/y)**50*y\/(y\/(y*y\/y**(2\/21))*y*y)*y*(y\/((y*y*y\/(y**(2\/39)\/y))\/y))\/y)**46 assuming y is positive.\nAnswer: y**(-636456\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (7 + -6)\/(-2 + 1). Suppose 0 = 5*h + 268 - 238. List the prime factors of (-24)\/(-36)*(171\/h)\/b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/754 and 55\/2829298.\nAnswer: 36780874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-23 - 0 - -15) + 37 + 1\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + v + 21 = -4*v, 3*z - v = 7. List the prime factors of 346*z + (18 - 14).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + y)*(-y - y - y) + (-3 + 4 - 3)*(2*y + 2 - 2)*(-5*y + 2*y + 4*y) to the form t*y + d*y**2 + z and give d.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 668, 3101, 7156, 12833, 20132, 29053?\nAnswer: 39596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 11\/44 + 2\/(-16). Let x = 11 + -11.4. What is the third smallest value in c, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*f. Let o(g) = -6*g + f + 13*g - 8*g. Let t(i) = 2 - 6 + 6*i - 4*i. Give -4*o(w) - 3*t(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2099928502*p + 2099928506*p - 4199857005*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - -3. Suppose q*u + 0*u + 72 = 0. Let d = u - -29. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28088 - 27948. Let o be ((-6)\/(-4))\/((-12)\/(-320)). Calculate the greatest common factor of o and x.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -816 - -816.2. What is the second smallest value in y, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 135*t**4 + 150*t - 2?\nAnswer: 1620*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d = -147*d + 8750 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 41132 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 144195245158*s**2 - 5*s + 5*s + 1 - 144195245151*s**2.\nAnswer: 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 f, and 1 x when four letters picked without replacement from {m: 2, f: 1, v: 2, x: 1, y: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 3 - 0. Let n be (i + 0 + 2)\/((-3)\/(-9)). Suppose -6 - 6 = -4*o. Sort o, 5, n in ascending order.\nAnswer: n, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13144924 * -3.\nAnswer: -39434772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (40\/(-12) + 2)*((-504)\/56 + 27\/2)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-980)*(-40)\/2?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from kzvvz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -413, -0.1, -3, -58?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 639*c - 635*c + 14*c**3 - 17*c**3.\nAnswer: -3*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/(-55))\/(5\/50).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 375 = u. Suppose 6*b - 18 = 3*b. Calculate the least common multiple of u\/(-20)*(-32)\/(-6) and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13.7 * -2130\nAnswer: 29181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5098189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6719, 7102, 7473, 7820, 8131, 8394, 8597, 8728?\nAnswer: 8775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/15)\/(2\/(-18)). Suppose 190*x + 482*x = -301*x + 1946. Solve -2\/5*q**x + 2\/5 + z*q - 9\/5*q**3 = 0 for q.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 + -8 - -2) + -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (-33 + 17) - (3 + -8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 9 - 1. Suppose d*t - 16 = -0*t. Suppose -36 = -12*x - 6*x. Solve -t = -x*b - 0*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (-10 - (11 + -8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of -x**5\/60 + x**4\/12 + x**3\/2 - 23*x**2. Let l(c) = c**2 - c - 1. Give 4*l(h) + 2*y(h).\nAnswer: 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1873518018 to the power of 1\/2, to the nearest integer?\nAnswer: 43284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in 2, -1021, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -103*q**3 - 7*q**2 - 7*q - 5. Let t(c) = -35*c**3 - 2*c**2 - 2*c - 2. What is -2*g(l) + 7*t(l)?\nAnswer: -39*l**3 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 3. Let t be -1 - (-1 - w) - -2. Calculate the highest common factor of 1 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 30 = -2*p + 8, 0 = 4*p + 11*b + 194 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -387416.2 to the nearest 1000.\nAnswer: -387000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 f when three letters picked without replacement from {f: 12, u: 3}?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -3181177.\nAnswer: -636235.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 168423*m + 5389560. Calculate n(-32).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 133032231 (base 4) to base 10\nAnswer: 127917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.16 in 5, -11, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*f = -24, -3*n - 2*f + 21883 - 21834 = 0 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-6)*-3*(-6)\/108\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - (-1 - 0)) + 248. Suppose w - 92 = 3*b. Suppose -3*c = i - 3*i + 43, 2*c - 32 = -3*i. Calculate the remainder when b is divided by i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -1\/9, -0.3, 0.5, 421?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o - 640 - 32 = 0. Calculate the highest common factor of o and 624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.04 - -6. Let q = k - -0.04. Is -1 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**(-3))\/(j*j*j\/(j**(13\/5)*j)))\/((j*j**(-5\/8))\/(j\/(j*(j*j**(5\/2))\/j*j))))**23 assuming j is positive.\nAnswer: j**(667\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 25. Let h = -5 + 1. Let v = h + j. Which is the closest to 0.1? (a) v (b) -2 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 39387896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 234 = -10*u + 36*u. Solve -4*b + 7 = 2*f + u, -3*b = 2*f - 1 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10442745.000053 - -10442627. Let q = -118 - n. Round q to 5 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + k - 2. Let h = -2 + 0. Let w be x(h). Solve w = n - 3*n - 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 41 = -4*a, -4*o + 65 = 4*a + a. Let b = a - 4. Suppose -5*w - 14 = -2*h, h = -w + b*w + 10. Solve 0 = -z - z - h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -773 - 223 = -6*r. Suppose 4*z + 344 = 4*l, l - 6*l + r = -2*z. Let h = z - -112. Calculate the least common multiple of h and 16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 + 13*u**2 + 12*u + 31. Let r be k(14). Suppose -29 + 29 + 14*z**4 - r*z**5 - 4*z**3 - 7*z**5 = 0. Calculate z.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -370, -726, -1082, -1438?\nAnswer: -1794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2500) - (sqrt(2500) - sqrt(2500)*-3*-1))\/((6*sqrt(60)\/sqrt(3) + sqrt(20))\/sqrt(4)))**2.\nAnswer: 4500\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4182680*v + 1731429 wrt v.\nAnswer: -4182680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 11 (b) -30 (c) 377 (d) -3 (e) -496\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6*4\/(-12))\/3)\/(8\/(-36)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 185\/65 - (-8)\/52. Which is the third smallest value? (a) 2\/7 (b) t (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4\/7 + 2868*b**3\/7 + 163017*b**2\/7 - 686580*b\/7 + 698100\/7 = 0. What is b?\nAnswer: -895, -65, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6063 (base 9) in base 7?\nAnswer: 15630","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1152 is divided by 236.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 136 and 2278?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, 42, 4, -5, -28 in descending order.\nAnswer: 42, 4, 1, -1, -5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -121, -177?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.09 - -0.11. Suppose 2*g + d + 0 = 1, -2*g - 2*d + 6 = 0. What is the closest to g in 4, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138 and 23.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**5 + 4*x**4 - 4*x**4 + 0*x**5 - x**5 - 2*x**5 + (x**4 + 0*x**4 + 0*x**4)*(-2*x - 3 + 3) + 1 + x**5 - 1.\nAnswer: x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from oooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(90)\/(-1*sqrt(6)))\/sqrt(3).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -433302 (base 5) to base 9.\nAnswer: -22304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 10 - 8. Suppose k*f - 570 = -4*j, 3*f + 400 = 3*j - f. What is the highest common factor of 28 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 25 - 13 = 0, 0 = 6*w - 4*f + 42 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-147)\/(-2))\/((-41)\/((-3690)\/(-270)))?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68*56\/(-34272)*72?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7394345 and 161.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0044254 to 4 dps.\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 + 15. Which is the second smallest value? (a) v (b) 0 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 60947480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - -110110111110000110000111001?\nAnswer: 110110111110000110000111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73431 - -107566. What are the prime factors of w?\nAnswer: 5, 6827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 145*t = -361 - 509 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.92798 rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3403\/11 or 310?\nAnswer: 310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91107 = -6327*p + 6336*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**4\/6 - i**2 - 10*i. Factor y(t).\nAnswer: 2*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 6*l**2 - 5*l - 4. Let q be z(5). Let k = -9 + 6. Let h = k - -7. Which is the biggest value? (a) h (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**3 - 2*s**2 - 3*s + 2. Let h be y(2). Suppose h = 5*q, -2*m + 0*m = -4*q + 22. Let i be m + ((-6)\/3 - -9). Solve -1 - 11 = i*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-5))\/((-6)\/16). Which is bigger: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3fd (base 16) to base 11.\nAnswer: -849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 59160 divided by -19720?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k*k**(-13\/5)*k*k*k*k))**(-3\/44) assuming k is positive.\nAnswer: k**(21\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 346*s**6 - s**3 - 1891*s**2 wrt s?\nAnswer: 41520*s**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3368 times 0.4?\nAnswer: 1347.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*i - 7020 = 500*i for i.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 4*i - 4*i - 1 + 6. Let a(n) = 2*n + 4. Let z(l) = -l - 1. Let s(y) = -a(y) - 3*z(y). Calculate r(c) + 4*s(c).\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/3 + 2*z**4\/3 + 122*z**3\/3 - 458*z**2\/3 + 184*z - 72 = 0.\nAnswer: -9, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**4\/24 + 5*h**3\/6 + h**2. Let w = 200 + -190. Suppose -3*k + w = 2*n - 6*k, 6 = 2*n - 4*k. Determine f(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 + 5*v - 4. Let q be m(-6). Suppose -14*c = -19*c - 390. Let h = -540\/7 - c. Is h bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and 2217957.25.\nAnswer: 2217957.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -115827400 divided by 23165480\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3874247 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: Let b be (14\/4)\/((21\/(-14))\/(-3)). What is the highest common divisor of 56 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzuuoen. What is prob of picking 1 k and 1 o?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -221, 172 in descending order.\nAnswer: 172, 0, -221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 178, 1742, 6020, 14380, 28190, 48818?\nAnswer: 77632","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by -54.\nAnswer: -85\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**3*r**2 - n**3*r - 98*n**3 - 2*n**2*r**2 - n**2*r - 523*r**2 wrt n.\nAnswer: -6*r**2 - 6*r - 588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 - 0?\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (-3*sqrt(176) + -5 + -1)*-1)**2 + 2.\nAnswer: 240*sqrt(11) + 1686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 115. Suppose 5*v = 1 + 14. Suppose -12 = -v*c + 3*h, -c - h = -4*c + 20. Calculate the highest common divisor of u and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**5\/8 - 7*q**4\/8 + 3*q**3\/4 + 7*q**2\/2 - 5*q = 0.\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-10)\/(-5)*-1))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (6\/10)\/((-52)\/(-65))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + 0. Let a = 5 + -5. What is the second smallest value in m, a, -1\/8?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1059886303?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of v**7\/105 + 31*v**6\/120 - 41*v**5\/60 - v**4\/12 + 68*v**2. What is the third derivative of w(i) wrt i?\nAnswer: 48*i + 186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/9)\/(41\/(123\/(-2))). Which is the second biggest value? (a) -0.12 (b) -4 (c) 2 (d) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(90)\/sqrt(2) + -1 + sqrt(80)) + 0 + (-1*sqrt(200))\/(sqrt(70)\/(sqrt(21)\/sqrt(3))) + 3)**2.\nAnswer: -420*sqrt(5) + 4549","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 45*v**2 - 94*v - 8. Let h be k(47). Is (1*9941)\/(-5 + (-2 - h)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8494832*p - 3580998.\nAnswer: -8494832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*k**3 - 180*k**3 + 56*k**3 + 56*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4271.229 and 3360.\nAnswer: -911.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 divided by 61.\nAnswer: -55\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44 + 41. Let z(l) = -4*l - 6. Let k be z(i). Is (-1 + 2)\/(k - 41965\/6995) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -4*m + 12*m - 7*m. What is the remainder when 4\/((-4)\/24*-3) is divided by l(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((8\/2)\/(-2))\/((-2)\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -6 (c) -1.176\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.7 + 12.73. Let n = q - 1.079. Round n to three decimal places.\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccaacaeccmcccc. What is prob of sequence cea?\nAnswer: 9\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 78054 - -7?\nAnswer: 78062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-12)*((3 - 7) + (-25 - -25))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 65600 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3481 - 6523 + 3041 - 510*o.\nAnswer: -510*o - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) + 2*sqrt(112) + sqrt(112))\/sqrt(8))\/(1*sqrt(63)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -3. Let l be r\/(-4) - 21\/(-6). Let k = 3 - l. Solve 2*a - a - 1 = k for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 47 + 125 = 0. Suppose -5*o - 6 + x = 0. Which is the biggest value? (a) 3 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrkkrrrrr. What is prob of picking 3 r?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -585 - -585.0412. What is l rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from chmhcmmchhcmch. Give prob of sequence mcmc.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6373.302us to seconds.\nAnswer: 0.006373302","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - 7. Let q(x) = -x**3 - 7*x**2 + 6*x. List the prime factors of q(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*(o**(9\/8)*o)\/o)\/o*o)\/o**(-19))**(-48) assuming o is positive.\nAnswer: o**(-1014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20311 + -7046. What is the tens digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69 - 5*c**3 - 1829205*c + 67 - 136 + 914602*c + 914603*c.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 5*t + 65 = 13*y - 2*y, -50*y - 2*t - 226 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21356 - 4556 = 21*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*u + 37*u**3 + 47*u.\nAnswer: 37*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(2*(-2)\/10). Suppose 0 = -q*f + d - 22, 5*f - 2*d + 34 = 10. Let c be 3\/(-3*86\/f). Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulllllllulclll. What is prob of picking 2 u?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 3*a**4 - 118604*a**3 + 1170619878*a**2 + 32082487404*a + 30911748919 = 0?\nAnswer: -79\/3, -1, 19781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -2 - (-6 - (12 + -14) - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n - 4*z + 98, 3*z = 3*n - 63. Calculate the lowest common multiple of n and 38.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and ((-25484)\/92)\/(1 + -2)?\nAnswer: 14404","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6395, -9814, -10263, -7748, -2275, 6150, 17521?\nAnswer: 31832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 - 10. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 6*v - 6. Let k be t(4). Suppose 5*w + 2*y = 58, -k*w - 3*w - y + 54 = 0. Calculate the remainder when 45 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*p = 52*p + 62*p - 7771120. What is the thousands digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 14*k**2 + 8*k - 7. Let a be (-2 - (-24)\/(-20))*5. Is t(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -6.2, -0.03, 3?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 1. Suppose u = -4*o - 2*l - 12, 5*o - 11 = 6*l - 2*l. Let r be -2 + 5 + o + -3. Which is smaller: r or 2\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 25 - 35. What is the remainder when (-98)\/(-5) + (-4)\/k*3 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + u + 1. Let j(r) be the third derivative of -r**6\/120 - r**5\/30 - r**4\/8 - 2*r**3\/3 + r**2 - 590*r. Let b = -5 + 9. Determine b*n(o) + j(o).\nAnswer: -o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 3*i. Let m be (-16)\/6*165\/(-110). Let n(w) = -2*w**2 + 4*w. Give m*n(x) + 6*u(x).\nAnswer: 10*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 139 + 165. Let t = u - 166. Calculate the remainder when t is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/60 and -51\/515.\nAnswer: 6180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s + 189*s + 2730 = 0 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13922 - -13925. Let p(r) be the second derivative of 0 + 3\/40*r**5 - 3\/4*r**4 + 3*r**x - 35*r - 6*r**2. Factor p(q).\nAnswer: 3*(q - 2)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 579.3856 nanograms in kilograms?\nAnswer: 0.0000000005793856","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 174870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 2*f - 4*h, 2*f - 4*h = -f + 42. Let q = f + -10. Calculate the smallest common multiple of 12 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*3*4\/6. Suppose d*f - 49 = y, 3*y = -2*f - 3*f + 57. Calculate the remainder when 21 is divided by f.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: c56b2c (base 15) to base 12\nAnswer: 3189120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 25. Let i = f + 25. Suppose 3*d = -i*d + 65. What is the remainder when 49 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from gmgginn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5998 - 0.1998. Which is the third smallest value? (a) -4 (b) 7 (c) -0.4 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = 5*n + 5, -5*a + 13 = -3*n. Find the third derivative of -9*u + 2*u**2 + 0*u + a*u**2 - 2*u**4 + 0*u**2 + u**3 wrt u.\nAnswer: -48*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - -194. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (63\/35)\/((-30)\/450)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (21\/12)\/((-1)\/(-4)). Suppose -315 = -2*t - 3*t + 3*k, -4*t = -k - 252. What is the greatest common factor of c and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/8 + 37*p\/8 + 9\/2.\nAnswer: (p + 1)*(p + 36)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -21. Suppose 0*z + c*z = 4*a + 25, z + 5*a = 5. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-198)\/3630)\/(-6*7\/(-105)*3)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 9) to base 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -313, -633, -957, -1285?\n\"Answer: -2*c**2 - 314*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16485350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -11*b - 8. Let x be v(-1). Let n be ((-228)\/(-54) + -4)\/(4\/x). Factor -2\/3*k**2 + n - 1\/2*k.\nAnswer: -(k + 1)*(4*k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 9, o: 4, k: 6}. What is prob of picking 2 k and 1 o?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 147\/4 - 37. Let t = -0.21 + 0.17. Sort m, t, 3 in ascending order.\nAnswer: m, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of 12*x**2 + 0*x**3 + 0*x - 1\/840*x**6 - 1\/1470*x**7 + 1\/210*x**5 + 0 + 0*x**4. Factor r(a).\nAnswer: -a**2*(a - 1)*(a + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 3.4. Let y be 2\/(-5) + (-6)\/60. Sort j, y, -5 in descending order.\nAnswer: j, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12129, -11879, -11469, -10905, -10193, -9339?\nAnswer: -8349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 11. Let w(c) = -7*c**2 + 17*c. Let k(u) = u**2 - 3*u. Let n(t) = -34*k(t) - 6*w(t). Give z(n(q)).\nAnswer: -64*q**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9155 is divided by 1803.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 0*j = 3*c - 39, 0 = -c + 1. Suppose -j*u - 11 = -19*u. Calculate the greatest common factor of 77 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -859 + 884. Suppose -11*r = 14 - l. Solve -8*n - 17 = -r for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -3*f - 7, -2*f - 3*z = -f + 5. Suppose 2 = -5*d + 3*d. Sort f, 4, d in decreasing order.\nAnswer: 4, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 8:20 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -558, -1153, -1746, -2337?\n\"Answer: b**2 - 598*b + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 0 + 2)\/(-2). Let j be 3 + -2 + -2 + 3. Suppose -5 = j*o - 7. Solve w - 3 = o, 4*p + 4*w - 8 = y for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001326 to five dps.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2 + sqrt(4)\/(sqrt(4)\/sqrt(2))) + sqrt(1800)*1*6)**2 + -4.\nAnswer: 724*sqrt(2) + 65522","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 27530*r**2 - 189447692*r + 379005512.\nAnswer: -(r - 2)*(r + 13766)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7092857*y + 40*y**3 - 7092857*y - 10*y**3.\nAnswer: 30*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38050315 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.03 - 0.33. Which is the closest to d? (a) 5 (b) -5\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170627713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 120*v - 119*v, -4*v = 2*r - 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v + 5*v - 5. Let y = -1 - v. Factor y*z**3 + 2*z**4 + z**3 - 2*z**2 - 6*z**3 + z.\nAnswer: z*(z - 1)*(z + 1)*(2*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*h - 2*h**3 + 0*h**3 - 32*h.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, 453, 976, 1697, 2610?\n\"Answer: -p**3 + 108*p**2 + 2*p + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26865002?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 24 = -4*k. Suppose -116 = -k*t + 2*t. Does 29 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Suppose 7 - s = 5*m. Solve 0 = 2*y + 7 - m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 0)\/(8\/(-4)). Solve x + 4*p - 6 = d, 3*x - 3*p + 14 = 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 2*d**2 + 2*d + 6. Let g be b(5). Suppose 3*v - g = -0*v. Solve f + h - 9 = -0*f, -2*f + v = 3*h for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608707 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0 + 4. Suppose 48 = 4*w - 3*b - 25, k*b = -4*w + 58. Suppose 12 = 5*m + 2. Calculate the highest common divisor of w and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -127 + 887\/7. Let l = -0.7 + 0.7. Put l, n, -0.5 in increasing order.\nAnswer: -0.5, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/(y\/(y**(1\/6)*y*y)))\/y)\/y**(-9\/10))\/(y*y**17)**(-12))**(-17\/5) assuming y is positive.\nAnswer: y**(-55862\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 7075 and 7079 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 372640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -152*i**3*y**3 + 39*i**3 + 350*y**3 - 16*y**2 with respect to i.\nAnswer: -456*i**2*y**3 + 117*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.705108 times 1?\nAnswer: 3.705108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-1172)\/8 + 0)*-2?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -426 less than or equal to -434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -144*k. Let u(z) = 525*z**2 - 2*z. Give u(i(b)).\nAnswer: 10886400*b**2 + 288*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62541981913 + 0.152.\nAnswer: 62541981913.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1647 - -3808. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.5 to 1 decimal place.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -20422?\nAnswer: 20418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -236\/13. Let y be ((-9)\/30)\/((42\/5)\/(-7)). Which is the closest to -0.1? (a) y (b) -0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 170 + 0?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*0.2751\nAnswer: 0.16506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 12 = -4*g, g - 5*g - 16 = 2*y. Let q be 1 + 0 - (g + 4). Suppose -2*j + 2 = -0*w - 4*w, 5*w - 20 = -2*j. Solve j*h = q - 17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -28*d*y**3 - 6*d - 82465*y**3 + 48228 wrt y.\nAnswer: -84*d*y**2 - 247395*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1887617 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 4. Let d be q(4). Let p be (d - (1 + -270)) + -2. Round p to the nearest ten.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 18784, -0.3, 4\/7, -4\/3.\nAnswer: -4\/3, -0.3, 0.4, 4\/7, 18784","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 135 + 30. Suppose -24*s = -u*s. Is 1\/20 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -109 - -111. What is the biggest value in -4\/7, -0.02, 2\/21, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15 - -16)*8\/2. Suppose -14*m + 3520 = -y*m. Is m a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -631273 + 955086. Let i = s + -111313. Let l be (i\/(-6))\/(1\/192). What is l rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of 11*z**8\/336 + z**5\/3 + 18*z**2 - z. Let t(p) be the first derivative of d(p). Find the third derivative of t(q) wrt q.\nAnswer: 660*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3057*l*q*x - 2*l*x - 57*l - 3*q + 504 wrt q?\nAnswer: -3057*l*x - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20356, 1, -1 in descending order.\nAnswer: 20356, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 2:02 AM?\nAnswer: 8:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -2*t**5 + 28*t**4 - 10*t**3 - 232*t**2 + 312*t = 0.\nAnswer: -3, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 829, 5, 7, 0.1 in decreasing order.\nAnswer: 829, 7, 5, 0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -249 - -3?\nAnswer: -246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/147, 2\/9, 1607?\nAnswer: -2\/147","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 372.8 - 137.7. Let z = r - 235. Round z to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*l + d + 88, 5*l - d - 146 = 0. Calculate the remainder when l is divided by 3\/(-6) + 62\/4.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1123313 (base 4) to base 16.\nAnswer: -16f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.42 - -6.06. Let f = x - -7.76. Put -1, -7, f in decreasing order.\nAnswer: f, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17443989 or -139551923\/8?\nAnswer: -17443989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37851 + -4807119\/127. What is the closest to -2 in -0.3, w, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -6, 5, -5, 0.3 in descending order.\nAnswer: 5, 0.3, -0.5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 p when four letters picked without replacement from {s: 12, p: 6}?\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, 0, 2, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19 - -52. Let k be (-2 - -3) + 1 - -20. Calculate the greatest common divisor of k and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 335 (b) 2 (c) -0.06 (d) 5 (e) -13 (f) -2\/3 (g) -3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 + 3.2. Which is the nearest to 2\/5? (a) d (b) 7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**3 + 1090*l**4 - 538*l**4 + 1 - 541*l**4 + 2*l in the form y*l**3 + h*l**2 + n*l**4 + o + x*l and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(2057) - (5*(sqrt(2057) - -1*sqrt(2057) - sqrt(2057) - sqrt(2057)))**2) + ((sqrt(1377) + -1 - sqrt(1377))*3 + 0)**2.\nAnswer: 11 + 11*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3298, -5954, -8610, -11266, -13922, -16578?\n\"Answer: -2656*y - 642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1877 by -9629.\nAnswer: -1877\/9629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-3 + (-125)\/(-15))*((-15)\/80)\/((-153)\/204)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (273\/49 - -3)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2619524868 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (990 - 691*n**2 - 990)*(-1 - 2 - 1).\nAnswer: 2764*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + s - 108 = -2*s, -q + 54 = -5*s. Suppose -f = -2*o + 65 - 8, -3*f + q = o. Is o a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d - 43*d + d - 69*d as j + g*d and give g.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(12\/7)*h*(h**(-3\/2)*h)\/h*h)**36\/((h**(-1))**49\/((h\/h**(-3\/4))\/h*(h*h\/((h*h\/h**(2\/17)*h)\/h*h))\/h)) assuming h is positive.\nAnswer: h**(60729\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 226 - 535. Let i = 307 + v. Which is the smallest value? (a) -0.5 (b) -95\/4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -688 = b - 5*b. Suppose -x + 5*x = b. Suppose 3*w - 4*w + 172 = 4*i, i = -w + x. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 117625*h**4 - 330952*h**2 wrt h.\nAnswer: 2823000*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - h = q + 8, 3*q + 15 = -3*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11.9 + -44.54. Let p = n - -51.1. Round p to one decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7343 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**6\/120 - k**3\/6 - 55*k**2 + 3*k. Let p(o) = 10*o**3 + 2*o + 1. Give p(u) + 3*x(u).\nAnswer: 7*u**3 + 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 229, 211, 181, 139, 85, 19?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 452968.255 to the nearest 100.\nAnswer: 453000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 45.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -16. Let h be (m\/6)\/((-3)\/(-12)). Which is the third biggest value? (a) h (b) -5 (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 32 = l. Suppose g + 4*w = 5*g - l, g + w = 0. Let m = 4 - g. Let t(z) = 4*z - 4. What is t(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k*z**3 - 211*k*z**2 - 4*k*z - 11*k - 3*z wrt z?\nAnswer: 6*k*z - 422*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -4*k + 84, -2*k + 4*o + 36 = -0*k. Let s(i) = i**2 + 101*i - 3498. What is the smallest common multiple of s(-129) and k?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 12*j - 29. Give a(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9666.5247311 + -9490.52473. Let a = -176 + k. What is a rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -176 (b) 1 (c) -1\/330\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 176777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16 - 21. Let s(x) = -4*x**2 - 4*x. Let y = -10 - -12. Let o(w) = 7*w - 8*w**y - 2*w**2 + 17*w**2. Calculate i*s(p) - 3*o(p).\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3223 is divided by 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*u**2 + 12 - 4 - 12*u**2 - 8 - 3 to the form k*u**2 + w + n*u and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -125*w - 2119. Determine k(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 12477?\nAnswer: 6\/4159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 259*r - 207*r - 208 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u - 14. Let v be z(13). Let c(p) = -7*p - 2. Let s be c(v). Put 4, 2, s in decreasing order.\nAnswer: s, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 6. Let b = -2104 - -2104. What is the nearest to y in -1\/8, -3, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dnrwwzwnnaannaz. What is prob of sequence zaw?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 6725 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*5*(-80)\/400 + 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21d + -1?\nAnswer: 21c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/51317 and 45\/4?\nAnswer: 205268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 70*b - 977. What is q(51)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3104 = -310405486*r + 310405389*r for r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 89629995 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -559?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (((-73)\/146)\/(2\/6))\/3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -615.6 - -95.6. Let q = -520.4 - h. Which is the nearest to 2? (a) q (b) 0.1 (c) 4 (d) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*r + 0)*(-4 + 0 + 1)*(-3*r + 3*r - r).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**5 + 160*b**4 - 2000*b**3 + 12160*b**2 - 35840*b + 40960.\nAnswer: -5*(b - 8)**3*(b - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/(-8) + 69\/(-4) + 17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*h**2*n**3 + 40491*h**2*n**2 - 6*h**2 - 1339*h*n**3 - h + 487*n**3 wrt h.\nAnswer: -46*n**3 + 80982*n**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1048238, -2096475, -3144710, -4192943, -5241174, -6289403?\n\"Answer: f**2 - 1048240*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 - 36. Calculate the highest common divisor of k and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*v - 9, -2*v + 13 = 5*w. What is the remainder when 1 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1685414 and 667904.\nAnswer: 5218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.081549cm?\nAnswer: 0.81549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/443090 and 39\/1506506.\nAnswer: 7532530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 21*z - 4*z**2 - 2*z**2 - 4*z**3 + 4*z**3 - 9. What are the prime factors of q(-9)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a965250 - -5?\nAnswer: 2a965255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 2. Let f = y + 1.998. What is f rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from vlll.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 112 - 21?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = 0, 3*j + 4*m = -m + 54. Is j a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 178.6 - 177.122. Let j = y - -1.336. Let s = j + -0.154. What is s rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -265, -532, -801, -1072?\nAnswer: -1345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941276 is divided by 97?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.0612, -833, -1\/2?\nAnswer: 0.0612","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let i = 54.7 + -54.700002041. What is i rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q - 1. Let h = 48 - 34. Suppose -9*g + 5 - h = 0. Let a(f) = -4*f. Let m(x) = g*a(x) + 2*p(x). Find the first derivative of m(i) wrt i.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 + -2110?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5236 and 508844?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*r**3 - 87*r**3 + 153*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2 (c) 100.03 (d) -1\/2 (e) -0.33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 30287 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/13 (b) -15 (c) -0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(240)\/sqrt(4))\/(sqrt(12) - (2*sqrt(120))\/sqrt(10)).\nAnswer: 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 5984.\nAnswer: 5984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8610 and 352641?\nAnswer: 24684870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l + 5*u + 30, 120*l - 117*l = -3*u + 30 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 4*q**2 - 4\/3*q**3 + 0 - 8\/3*q = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - h - 13 = -87, 0 = 2*k + 5*h - 46. Solve -2*i - 2*i + 20 = 4*m, 3*i = -4*m + k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -567 * 3365.\nAnswer: -1907955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7774*s - 15360*s + 7931*s - 1035 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/((-224)\/40))\/(246\/(-2952)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12366.3118 - -4516477.\nAnswer: 4504110.6882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 15345481 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 8*t**2 + 26*t + 62. Let j be c(-10). Let o be 2 - (j + -3 + 15\/5). Solve 0 = -y + 4 - o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/384*16*11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/((-192)\/(-60))*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(65) + -5*(sqrt(65) + sqrt(65) + (sqrt(65) - 2*sqrt(65)) + sqrt(65)) - sqrt(65)))\/((sqrt(1815)*1)\/sqrt(3)).\nAnswer: 10*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 220474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-10)*45\/180 - 2\/(-6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(3*sqrt(272))**2 - -1*(sqrt(272) + 2)**2) + 5.\nAnswer: -14407 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-17)\/(119\/462)*(-4)\/6. Suppose -y + q = -124. Suppose -9*w = 3*w - y. What is the greatest common divisor of w and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*t - 117*t + 28*t to n*t + v and give n.\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4371104.\nAnswer: 2, 23, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 119446169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0 (b) 5 (c) -9.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, z: 2, h: 4, i: 1, v: 3}. Give prob of picking 1 i and 1 m.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -33 (b) 1\/3 (c) 65 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 30, 28, 16, -12, -62, -140?\n\"Answer: -p**3 + p**2 + 2*p + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 3*p**2 + 4*p + 8. Let a be m(-2). Factor 0*y - 6*y**4 - 3*y**a - 3*y**2 - 30*y**3 - 6*y - 18*y**2 - 6*y**2.\nAnswer: -3*y*(y + 1)*(y + 2)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:37 AM?\nAnswer: 10:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 240 - -4?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -595, 3, -5.\nAnswer: -595, -5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 1 - -52) + (-17 - (-17 - 1 - -7)).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 300 + -326. Which is the closest to -2? (a) 1 (b) 2 (c) j (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80722, 161434, 242156, 322894, 403654?\nAnswer: 484442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.1 + 9. Which is the second biggest value? (a) -4 (b) t (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/35 in 2, 28, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0 = 16. Let g = -2 - m. Calculate the remainder when 2 is divided by g.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 23*h**2 + 2*h + 1. List the prime factors of p(2).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -53*i**2 + 10*i - 12. Let o(l) = l - 1. Determine -22*o(y) + 2*q(y).\nAnswer: -106*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/b**(-5))*b\/b**(1\/11)*b)\/((b**(2\/9)\/b)\/b**(-11)) assuming b is positive.\nAnswer: b**(-1318\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6223 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/9 + 8\/36. Suppose 5*s + 5*w = -7 - 58, 0 = 5*s - 3*w + 41. Let f be s\/18 - 6\/(-27). Which is the nearest to f? (a) 0.3 (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 10042*h**2 - 1. Let v(t) = t + 293. Determine v(o(m)).\nAnswer: 10042*m**2 + 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*s + 28, -s - 2 = l - 3*l. Suppose 3*d = 2*d + 5*p + 12, -2*d - 4*p - 4 = 0. Differentiate d - u + 0 + 1 - s wrt u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*3*sqrt(20))\/((sqrt(4) + 2*sqrt(4))*-6).\nAnswer: sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) - -1*(-1 + sqrt(192)))**2 + 5*(2 + sqrt(192)).\nAnswer: 8*sqrt(3) + 779","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.34, 2, 51, 4\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in months?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 - p + 3. Let j be a(-17). Let q = j - 485. Let z = 271 + q. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 58*j - 54*j = -28, 5*l + 35 = -5*j for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -797 - -466. Let u = m - -529. What is the greatest common divisor of u and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7758*d + 7722*d - 2052 = 0 for d.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 594122 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 136274655 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) -0.28 (b) -7 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2\/3 - 747590*i\/3 - 498400.\nAnswer: 5*(i - 149520)*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = -3*p - 2*p. Suppose -7 - 8 = 5*c. Let j be 4\/(c - -1) - p. Put 1, j, -1 in decreasing order.\nAnswer: j, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37830398189 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 247 + -99. List the prime factors of t.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2401431 divided by 29\nAnswer: -2401431\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*2\/6 - (-80)\/30. Suppose 1 = v, 3*v + 0 - 1 = u. Let p be (u\/(-5))\/(2\/(-15)). Solve w*j + 4*x = 1 + 15, 5*j - p*x = 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42175251 minus -129?\nAnswer: -42175122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (3 + 12 - (-4 + -10 + -70)).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*j - 67*j**4 - 3*j**3 + 367 + 368 + 3*j**3 - 737 to y + k*j**4 + s*j**3 + m*j + i*j**2 and give k.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -8*f**3 + 3*f**2 - 6*f - 3. Let z(d) = -7*d**3 + 4*d**2 - 8*d - 4. Give -4*a(x) + 3*z(x).\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 32*s - 3*s**2 + 31*s - 5*s**4 - s**3 + 3 to g*s**4 + y + a*s**2 + o*s**3 + t*s and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 35*c**2 + 5*c + 0*c + 43*c**2.\nAnswer: 8*c**2 + 5*c + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 122*i**2 - 10363*i - 584. Determine g(85).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 - -0.03877084.\nAnswer: -25.96122916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 210\/40*54*12\/9. Let a = 112 + x. Calculate the smallest common multiple of a and 22.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**2 - g - 8. Let u(z) = 15*z**2 + z + 16. Let j = 24 - -82. Let i = j + -119. Let c(t) = i*p(t) - 6*u(t). Determine c(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j**4 + 5*j**4 + 0*j**4 + (-15*j**2 + j**3 + 15*j**2 - 2*j)*(-6*j - 3*j + 0*j).\nAnswer: -7*j**4 + 18*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 6*k + 18 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/2701077 and 81\/1724.\nAnswer: 10804308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y**(1\/4))))**(-12)*(y**(2\/3)\/y)\/y*y*y**(4\/7)\/y*y**(-2\/7)\/y*y**(-1\/5)*y*(y\/((y\/y**0)\/y))**24 assuming y is positive.\nAnswer: y**(814\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/(-198)*3888\/90.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7108*d + 605*d - 144121 - 792404 = -4774*d for d.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -540*p**2*t**2 - 2*p**2*t + 10*p**2 + 77*t**2 + 4*t - 1 with respect to p.\nAnswer: -1080*p*t**2 - 4*p*t + 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*15\/(218 + -8).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 5*i + 6. Let k be u(-6). Suppose 2*j - 468 + 136 = k. Suppose -j - 88 = -2*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -94389, -377543, -849463, -1510149, -2359601, -3397819, -4624803?\n\"Answer: -94383*z**2 - 5*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1200*30584.\nAnswer: 36700800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 22, 3, -4, -1, 5 in decreasing order.\nAnswer: 22, 5, 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 7*c**2 - 2*c - 6. Let h be k(-7). Let y(f) = -3 + h*f - 16 + 4 - 3*f. Is y(15) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4*m + 44, -3*d + 2*m = -2*m - 54. Suppose -2 + 0 = -2*c, -2*s = 4*c - d. Suppose -3*h + 94 = h + s*r, 0 = -2*r + 4. Is h a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 442887073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 5*i = -2. Let h be (15\/(-30))\/(i\/(-12)). Suppose -h*u - 2*k = -1133, u + k - 105 - 272 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54455629?\nAnswer: 89, 653, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/15 and 139\/112374.\nAnswer: 561870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 6*k**3 + 5*k**2 - 5*k - 5. Let r(u) = -u**3 + u**2 - u - 1. What is -5*r(z) + x(z)?\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 6:21 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-3*8\/12). Let j be b\/4 - 75\/(-12). Let l = -1 + j. Solve -2*f = -i - 5, -25 = 4*f - l*f - 4*i for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 2*t + 150 = 0. Suppose -2*l = -5*j - t, 3*l - 5*l + 2*j + 36 = 0. Suppose -3*v - 2*v + l = 0. Calculate the highest common divisor of v and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.03423, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.5 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 17, z: 2}. What is prob of picking 4 m?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -12*v**2. Let n(d) = 142*d. Give l(n(h)).\nAnswer: -241968*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 10*b. Let k(l) = 96*l + 15. Let h(t) = -101*t - 18. Let w(s) = 5*h(s) + 6*k(s). Determine u(w(c)).\nAnswer: 710*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2237*-2217\nAnswer: 4959429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2730 is divided by 2722.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1\/2 (b) 0.0337 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -823, -0.2, 2\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -121 - 643?\nAnswer: -764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1174 (base 8) to base 2.\nAnswer: 1001111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3329.93751153642 - 7.93749544642. Let m = p - 3322. What is m rounded to 6 decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 10. Let f be u(-7). Let t = f - -12. Let i = t - 11. Solve -3*a - 9 = -i*q, 4*q - a - 8 = 3 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1260, 783, 344, -39, -348, -565?\n\"Answer: 3*u**3 + u**2 - 501*u + 1757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-13)*3\/9*2\/2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -433083372*j**2*u**4 - 211*j**2*u**2 + 196*j*u**2 - u**2 + 147*u wrt u?\nAnswer: -10394000928*j**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1755671*s**2 + 3674*s - 1837. Let g(j) = 3825*j**2 + 8*j - 4. Calculate 1837*g(y) - 4*x(y).\nAnswer: 3841*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6\/11, -0.0802, 0.5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 smaller than 1899\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -22 - 9*w - 11*w - 2*w**2 + 2*w**2 - w**2. Let j be x(-17). Let u = -24 + j. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -70303.859292647.\nAnswer: 70300.859292647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 39 = -3*f, 0*f - 5*p + 52 = -4*f. Let x be (2 - f)*18\/30. Suppose o - 13 = -x. Calculate the least common multiple of 14 and o.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g - 613040*g**2 + 2 - 4*g**4 + 613040*g**2 - 6 + 5*g**4 - 9*g**3 as x*g**3 + v*g + a*g**2 + z*g**4 + q and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 288339.\nAnswer: 3, 223, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-11012001)\/(-37202) + -296)*(0 - 1*-2)\nAnswer: 1\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 7) to base 8\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, z: 5, i: 12}. Give prob of sequence zi.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = -2*z - z, 0 = 4*i. Let c(u) = -u**2 + z - 2 + 1. Let s(t) = -2*t. Calculate c(s(g)).\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -181 - -182. Is 3\/19 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245666215 to the power of 1\/5, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12.3 - -230.3. Let g = -221.02 + n. Let m = g + 2.579. What is m rounded to 2 dps?\nAnswer: -0.44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 994 is divided by 18 - (-1 - 201) - 13?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -760 or -311?\nAnswer: -311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05467 (b) -1 (c) 4881 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7721.\nAnswer: 7, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6300*q**2 - 264*q + 32 = 0. What is q?\nAnswer: -2\/21, 4\/75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (2 + -1)*(-22 + -15). What is the greatest common divisor of y and 494?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-54)\/(-12))\/(-9))\/(-1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 4*h + 2. Suppose -2*y + 4 = -0. Let w = 257 + -239. Suppose -4*c + v - 4*v - w = 0, -y*c = 4*v + 14. Let o(d) = 11*d + 5. What is c*o(p) + 8*a(p)?\nAnswer: -p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 2. Let t(h) = -3*h + 3. Let y be (((-9)\/(-2) + -2)*1)\/(1\/2). Determine y*n(b) + 3*t(b).\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 10*j. Let y be p(7). Let i = -15 + y. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggoohe. Give prob of sequence heg.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 57117144559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*x**2\/5 - 733546*x\/5 + 440124 = 0. Calculate x.\nAnswer: 3, 366770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-112 - -87) + (10 - (-3 - -4))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 20*g**3 + g - 1. Let l be w(1). Suppose -4*d + l = x - 8, 0 = 2*x + 2*d - 38. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 2*v + 2*p - 12, -3*p + 14 = 4*v. Suppose 0 = -5*k + 3*a + 6, -v = -3*k + a - 0*a. Suppose -12 = -4*w - k. Solve -x = -w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.5 + 7. Which is the closest to 1\/5? (a) 2\/3 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 35707*p - 35711*p - 32, -5*p - 30 = 3*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*s + 4*y - 22, -5*s + 4*y - 34 = 0. Let b(w) be the first derivative of w**3\/3 + 5*w**2\/2 + 2*w + 2. Is 4 a factor of b(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22129*n - 8*n**3 - 22129*n + 2 as d + f*n**2 + t*n + g*n**3 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-45)*-9 + -5)*1378\/39.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 47*r**2 - 4. Suppose 3*j - 27 = -36. Is p(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, -5\/6, 2\/357 in decreasing order.\nAnswer: 3\/5, 2\/357, -5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (656\/48)\/((-1)\/(-3)). Suppose -x - 173 = -2*j. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 - 17*n**2 + 130*n - 1004. Determine l(13).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27484 - 22*r**2 + 2*r**3 - 27484.\nAnswer: 2*r**3 - 22*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*a - 30 = -212*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 35\/(-10)*8\/(-14). What are the prime factors of (-11)\/(l*(-1)\/2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 908*b + 214285. What is n(-236)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -58137\/2237 >= -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -140 or -0.058?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 16. Calculate the lowest common multiple of d and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9451399 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -280120, -1120543, -2521270, -4482301, -7003636, -10085275, -13727218?\n\"Answer: -280152*j**2 + 33*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -243, -7649, 5 in decreasing order.\nAnswer: 5, 1, -243, -7649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 101*q + 1. Let h be z(-2). Let p = 384 + h. Let y be (-9)\/15 + p\/255. What is the smallest value in 4, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 - (3 - (0 + 0))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 95142, 95139, 95136, 95133, 95130?\n\"Answer: -3*n + 95145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 427 = 101*v - 1088 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 34, 10, -1 in increasing order.\nAnswer: -1, 10, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 5 - 1. Let c(q) = 8*q**2 + 11 + 2*q**3 - 4*q**u + q**3. What are the prime factors of c(8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, z: 2, q: 1}. Give prob of picking 1 q, 1 d, and 2 z.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1288.37 - 1270.36978. Let p = -18 + a. What is p rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18441575 is divided by 635916.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1085 + -1734. Let u = -368 - b. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 11. Let h be o(12). Let w be (-164)\/(-6) + h\/(-3). What is the highest common divisor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**2 - 41*m - 378. What is the thousands digit of i(59)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19702 (base 15) to base 2\nAnswer: -10100001010010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 145 a factor of 656?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 = 9\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + p. Let x(v) = -5*v**2 + 9*v. Let l(j) = 6*b(j) - x(j). Solve l(y) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -52 in 1, -21, -4, -2, 172?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 6) in base 10?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (6\/8)\/(2\/(-8)). Let n(d) = 3 - d**3 - f*d + 3*d**2 + 3*d - 6*d**2 - 3*d**2. Calculate n(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1478\/555 - -47\/37. Let b be (13\/2)\/(3\/2). Let m = b - q. What is the second biggest value in 0, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s**5 - 91040*s**4 + 1225044*s**3 + 2262158*s**2 - 1048955*s + 109650 = 0. What is s?\nAnswer: -3655, -2, 1\/5, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-9)*k*k*k**(-3\/17))\/(k*k**(-2\/19))**(1\/5))**21 assuming k is positive.\nAnswer: k**(428841\/1615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 601037 is divided by 31633?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 3*c. Suppose -3*w + 10 = -8*w. Give h(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 17*h**3 + 2*h**2 - 7*h - 5. Let t be 98\/21*(-6)\/(-4). Let x be b(t). Let c = x - 8575. What is c rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10083580\/(-969575))\/(-2*2\/12*(-4)\/10)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139361?\nAnswer: 139361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 0 - (-1 + -5)) + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 298 + -194. Let s = n + -61. Let w = -18 + 29. Calculate the remainder when s is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 289 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**5\/8 - 1027*i**4\/8 + 54871*i**3\/4 + 326887*i**2\/2 + 368079*i - 545112 = 0.\nAnswer: -6, 1, 134, 904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 4. Let x(k) be the first derivative of k - 226. Give l(f) + 5*x(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 119425 and 43775.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*c**3 + c**2*f**2 + 8*c**2*f + 2*c**2 - 2*c*f**2 - 15*c*f + f**2 + f wrt c.\nAnswer: -180*c + 2*f**2 + 16*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8799084047 to the power of 1\/10, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Suppose 6*q + 6 = 3*q. Let i be -4 - -7 - 3 - 1. Sort i, k, q in increasing order.\nAnswer: q, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36683567?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t. Suppose 5*x + 0*d - 8 = 4*d, t = 4*x + 5*d + 10. Suppose -4*l - n = -6*l + 2, -4*n = 5*l + 21. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 192712.6 less than -0.0885647?\nAnswer: -192712.6885647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 375379 and 2976?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 + 2*h + 0*h**2 + 19 - 3*h**2)*(-h**2 + h**2 - 5*h**2).\nAnswer: 15*h**4 - 10*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34146715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**2 - 5*t - 1. Let f be y(-2). Suppose 0 = -4*m + 9 - f. What is the third derivative of -2*v**4 + 18*v**2 + 13*v**m - 24*v**2 wrt v?\nAnswer: -48*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 5*v - 90. Let r = v + -17. Let g be (r - -2)*(-16)\/(-72). Is g != 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 50*p - 55410. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.8 + -2.8. Let m = -718 + 713. Which is the smallest value? (a) p (b) 0.5 (c) 2\/11 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.417 + -0.188. Let o = c + -0.2290041. What is o rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**2\/2 + 7*o + 1. Let z be n(-9). Suppose -8*v + 6*v + z = 0. Solve 3*x - 5*x = -v for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-20)\/25)\/((-2)\/3) and 4\/9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20210 by -5.\nAnswer: 4042","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75891285.\nAnswer: 3, 5, 1686473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-4)\/(-5) + (-32856)\/(-30)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 10, -73922?\nAnswer: -73922","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4 + c**2 - 7 + 7. Let h be o(0). Let z = h + 131. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2635559, -2635558, -2635555, -2635550?\n\"Answer: w**2 - 2*w - 2635558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1464783720 - -0.4532.\nAnswer: -1464783719.5468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5\/2))\/(o*o**(-1)*o)*o**3*o*o*o*o**(-4\/5) assuming o is positive.\nAnswer: o**(77\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2 - 39*l - 10*l + 3 + 26*l. Let d be w(0). Let y(c) = -2*c**2 + 4*c. Calculate y(d).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114)\/285 + 48\/(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -40\/7 - 22\/3*i - 32\/21*i**2 + 2\/21*i**3.\nAnswer: 2*(i - 20)*(i + 1)*(i + 3)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81785 + 6*k + 81785.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (2 + -5 + -2 + 3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10042 + 3041?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + k. Suppose y - 3 - 4 = -3*c, -2*c - 4*y + 18 = k. Let m be (2 - 2)\/(-1) + c. Is 0 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 u, 1 q, and 1 x when four letters picked without replacement from xqoqqqxqufuxquxfqqq?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 107 (c) -4 (d) -9232 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2623996*c**3*k - 35*c**2*k - 22*c**2 - 2*c*k + 234 wrt c?\nAnswer: -15743976*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/20 + -1)*(-2 - 4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s + 30. Let n(f) = 42*f. What is n(k(r))?\nAnswer: 84*r + 1260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5 + 2643*z**4 + 6631*z**3 - 14568*z**2 + 5296*z = 0.\nAnswer: -4, 0, 1\/2, 1, 1324","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*(l*l**1)\/l*l)**7\/(l*l*l**(3\/4)\/l)**35)**(1\/9) assuming l is positive.\nAnswer: l**(-161\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15210*m**3 - 337701*m**2 - 14440733*m\/8 + 3108169\/4.\nAnswer: -(5*m - 2)*(156*m + 1763)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 367 + -365. Let d(y) = 2*y**3 - 2*y**2 + 5*y - 6. Calculate the lowest common multiple of d(n) and 2\/4*(1 + 7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-306))\/(2\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -t**2\/2 + 5*t - 72. Give f(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:11 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a\/(a\/(a\/(a*a*a**14*a)))))**23*a**(1\/8)*a*a**(-2\/19))**(-19) assuming a is positive.\nAnswer: a**(-56091\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 + 5*d**2 - 5*d + 16. Let z be w(3). Calculate the common denominator of 5\/(-60)*-339 + z and 59\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z**2 - 9*z + 10. What is f(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001832534 rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6 - 2. Suppose -o*d - d = 18. What are the prime factors of (16\/6)\/(d\/(-9))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.5 smaller than 313?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*d**3 + 3*d**3 + 407 - 408 + 3*d**3.\nAnswer: 32*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 3 = -5*h - 1, 3*y + h - 23 = 0. Let u = -28 - -30. Solve q - c = 3, -6*q = -u*q - 3*c - y for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, d: 1, z: 1, x: 2, e: 1}. What is prob of picking 1 z and 1 d?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/56 and (-1402)\/(-1260) + ((-28)\/18)\/7.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*r = -2*v + 136, -2*v = -5*r - 116. Suppose 0 = 1029*h - 1037*h + v. Let g(k) = 2*k**2 - 6*k - 8. Determine g(h).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12429 is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yybt when four letters picked without replacement from aytbbyp?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - -130. Let j = h + -63. Suppose -5*a = -2*m - 113 + 36, -5*a - 5*m = -j. Calculate the smallest common multiple of a and 2.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9*z**2 + z**4 - 6486*z + 6486*z - 55 wrt z.\nAnswer: 4*z**3 + 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233125*t**2 + 13138*t**2 - 60310*t**2 - 92 + 92.\nAnswer: 185953*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 p when two letters picked without replacement from hutbppa.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -43397, -87476, -131555, -175634, -219713, -263792?\n\"Answer: -44079*z + 682","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2618 + 110 - 1630 + 5545)*(2*n**2 + 2*n - n**2 - 2*n**2).\nAnswer: -6643*n**2 + 13286*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Let h be (-2 - 4)*t\/(-6). Suppose 0 = -5*d - h*v + 21, -d - 4*v = v. Solve 2*r + 15 = d*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -74*x + 72*x - 4*n, 0 = 3*x + 2*n - 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -287592011 and -5.\nAnswer: 1437960055","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1373, 1374, 1375, 1376?\nAnswer: 1377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/4 + 3\/(-6). Suppose 11 + 0 = -3*m + 5*a, -m - 2*a = 0. Find the common denominator of 10*-2*(m - (-20)\/s) and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 546867684743 + 1.\nAnswer: 546867684744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of -37\/10*l**5 - 3*l + 1\/30*l**6 + 0*l**2 + 0*l**4 - 31\/2*l**3 + 26. What is the second derivative of m(o) wrt o?\nAnswer: 12*o**2 - 444*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -5, 8, -881, 0.7 in decreasing order.\nAnswer: 8, 1, 0.7, -3, -5, -881","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31457282?\nAnswer: 2, 173, 90917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 194 - 133. Let n = 61.31 - p. Which is smaller: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34571?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2798 + 69954\/25. Let b = 1.05 + -0.05. What is the fourth biggest value in i, b, 1\/4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(30\/300*(-28440)\/(-18)).\nAnswer: -1\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 62 (b) 0.4 (c) -1\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y\/y**(-4))))\/y*y**(-1\/7)*(y**(-2\/5)\/y)**(-2\/15))**(-4\/3) assuming y is positive.\nAnswer: y**(-10592\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*d**3 - 72*d**2 + 72*d**2.\nAnswer: -31*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 5*d, -j + 5*d = 4*d + 4. Which is bigger: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, t: 1, l: 1, r: 1}. What is prob of picking 1 r and 1 q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 6458, -1, -4 in ascending order.\nAnswer: -4, -1, 7, 6458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 8946168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 214305 and 13195.\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c**3 + 22*c**3 - 12*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 (base 10) in base 6?\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**3 - q**2 + 7*q + 1. Let g(x) = 168*x**3 - 2*x**2 + 15*x - 1. Calculate g(v) - 2*t(v).\nAnswer: 164*v**3 + v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -22\/1185 and 37\/40?\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 34264877 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2 - 293. Let f be s(17). Let r(m) = -9*m**2 - 12*m - 9. Let x(o) = o**2 + o + 1. Let c be -2 + -28 + 1*2. Let n(a) = c*x(a) + f*r(a). Factor n(k).\nAnswer: 4*(k + 2)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 30*z**2 + 17*z - 55. Let u be t(4). Let w = u + -271. Is 37 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4*l**2 + 65*l + 11. Determine s(-16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1417960726 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 136*51\/7803*(63\/(-2))\/(-1)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*p = 24, -6*p = -3*r - 3*p - 24. Let t be (2 + -74)*(-3)\/r. Is -3 + 1 - (t + -1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1559667*m**4 + 13854*m**2 - 164*m.\nAnswer: 37432008*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 9 = -3*k, -3*o = 3*k + 2*k + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k + 4, 14 = -5*q - 0*k - k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-5)*(-20)\/(-8))\/1. Let 0 + 0*b + 2\/5*b**g = 0. Calculate b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:28 AM?\nAnswer: 1:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -832 + 27454\/33. Let w be (-1)\/(2*2\/4). Which is bigger: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 14487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**4 - q**4 - q**4 + (1285 - 1285 + 44*q)*(q**3 + 162*q**2 + 8*q**2 + 162*q**2 + 2*q).\nAnswer: 46*q**4 + 14608*q**3 + 88*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 60.871km?\nAnswer: 6087100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 865612890 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-106)\/20 - (-2)\/(-8) and 3219\/270 - 4\/18?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.078 + 0.13. Let r = 0.05199984 - f. Round r to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -357*f**5\/20 - 435*f**4\/8 - 5*f**2 - 5. What is the second derivative of g(l) wrt l?\nAnswer: -2142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/5, 38, 2, -1\/2, 2\/50283 in decreasing order.\nAnswer: 38, 2, 2\/50283, -1\/5, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230857137 divided by -3664399.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 669323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1016839\/502 or 2025?\nAnswer: 2025","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1604863 divided by -2\nAnswer: 1604863\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c - 5. Let n be l(-9). Suppose 0 = g - n - 0, -24 = -4*w - 2*g. Suppose -1 - 5 = -3*z. Solve -4*m = -z*o + 18, -5*o - w*m + 0*m = -17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -130, 1 in descending order.\nAnswer: 1, -2, -130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -572 - -576.952. Let m = 0.048 + c. What is the third biggest value in 0, -3\/8, m?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12536*k**4 - 11*k**2 + 171*k - 253?\nAnswer: 150432*k**2 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.7 and 3.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4211304 weeks to minutes.\nAnswer: 4244.994432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 5:31 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 107*s**2 + 5.\nAnswer: 107*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 4. Let w = -684 - -225. Let l = w - -459.1. Which is the fourth biggest value? (a) u (b) 2\/31 (c) -0.3 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -61, -47, -29, -7?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 468539111 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82, -126, -144, -106, 18, 258, 644?\nAnswer: 1206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 416\/(-6)*7122\/(-15431)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03662164 rounded to three decimal places?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*z - 30 = 37*z for z.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h**2 - h**2 + 3*h**2)*(-7 + 8 + 15) in the form z*h**2 + w + s*h and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 350306, 1401429, 3153302, 5605925, 8759298, 12613421, 17168294?\n\"Answer: 350375*s**2 - 2*s - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 7, n: 2, z: 5}. What is prob of sequence knzz?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -900, -898, -894, -888, -880, -870, -858?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 3*s. Let o(q) = -q**2 + q + 2. Let k be o(s). Solve -3 = k*h - 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*f + 4*o + 42, 4*f + 153 = -o. Let n = f + 36. Let a = 7939\/9 + -883. Does a = n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/34 - -1)*(-47)\/94?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -294.\nAnswer: 58.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -19, 9, 85, 227, 453, 781, 1229?\n\"Answer: 3*i**3 - 3*i**2 - 14*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9876 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*s + 131*s + 7293 = 49*s - 82*s for s.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*v - 1 = -4*v - 116 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -14*o - 93934. Let j(u) = -7*u. What is j(p(d))?\nAnswer: 98*d + 657538","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 + 116 + 131 + 49*k.\nAnswer: 49*k - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 77818.44 milligrams in tonnes?\nAnswer: 0.00007781844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 414252 and 222.\nAnswer: 414252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a gram in milligrams?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10444322 (base 6) to base 2\nAnswer: 1001101011100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -h**3\/6 - 2*h. Let k(a) be the second derivative of -2*a**3\/3 - 65*a - 1. Give z(k(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c + 25 = -3*i, -16*i + 15*i = -2*c + 5 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 247821029.\nAnswer: 8429, 29401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 8*s**3\/3 + s**2\/2 - 12*s + 17. Let k(d) = -31*d - 1. Calculate 3*k(b) + 5*y(b).\nAnswer: -13*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6) + 16\/(-24). Let q(l) = l**2 - l - 1. Let t be q(n). Calculate the highest common divisor of 8 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from opovjxhjxhjohpvvp. What is prob of picking 1 h and 1 o?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110529*k**2*v + 51431*v with respect to k.\nAnswer: -221058*k*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 6*n**2 + 14*n - 19. Let t be g(4). Let x = 101 - 61. Solve -4*m = -4*f - f + x, 3*m + t*f = 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -43?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1821, 15, 1, 4 in ascending order.\nAnswer: 1, 4, 15, 1821","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 382*v**4 + 8 + 1036*v**4 + v - 527*v**4 in the form p*v**2 + d + k*v**3 + a*v**4 + w*v and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4486 = 2*c, -1 + 3 = -2*f. Let o = -850 + 854. Let r be 425\/c + (-1)\/o. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 3*i + 3. Let y be k(-1). Let f be (y - (-35)\/7) + -130006. What is f rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12242 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/3)\/((((-825)\/(-70))\/(-11))\/((-18)\/(-14))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4\/9, -2\/5, -5\/4 in decreasing order.\nAnswer: 1, 4\/9, -2\/5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i - 1. Let g(o) be the third derivative of 5*o**4\/24 - o**3\/2 - 8*o**2. Give -7*c(r) + 2*g(r).\nAnswer: -4*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2*o = 6, -i - 2 = -0*i - 2*o. Suppose -54 = i*c + 2*s - 148, 4*c + 3*s = 185. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g + 11*v = -110, 1543*v + 36 = -5*g + 1545*v for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + (sqrt(300) - (1 + sqrt(300))) + 0 - (0 + sqrt(300))*-6)**2.\nAnswer: -140*sqrt(3) + 14701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s**3 + 3*s - 3*s)*(-3 + 0 + 10) as n + y*s**3 + h*s + u*s**2 and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 158 divided by 27358\nAnswer: 79\/13679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 - 11 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 - 10*l - 7. Let o be t(-9). Suppose 3*m = -o*m + 95. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 869c948?\nAnswer: 869c944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -315 - -315.201. Let z = o + -0.2. Round z to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 0 = 10. Suppose r + w*r = 87. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - 11262?\nAnswer: -11266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132 is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 20*h**3 + h**2. Let t be -1*(1 - (-9 + 3)) + -3. Let f be ((-2)\/4)\/(5\/t). What is i(f)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*s - 143*s - 1937 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of 0*r**2 - 16*r + 0 - r**3 + 2\/3*r**4 - 1\/10*r**5. Let y(j) = 0. Calculate j.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 241 is divided by 41?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w\/w**10))*w)*w)\/w*w*w*(w\/(w*w\/(w**(-11\/2)\/w)*w))\/w)\/(w**(-3)*w\/w**9) assuming w is positive.\nAnswer: w**(25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 6:14 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 4695.7 to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*h + 33*h - 50*h = -720 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2115690469775 + -3.\nAnswer: -2115690469778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*w + 146 - 1453 - 1861 = 0. Calculate the remainder when 101 is divided by w.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1.5 (b) 2\/7 (c) -2 (d) 1.143 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, j: 4}. Give prob of picking 2 j and 1 d.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 7:22 PM?\nAnswer: 10:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1456 and 3899?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b**3 + 3*b**2 - 6*b + 5. Let r(h) = -7*h**3 + 4*h**2 - 7*h + 6. Give -6*f(v) + 5*r(v).\nAnswer: v**3 + 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 2*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 422428 or 422833?\nAnswer: 422428","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 6:58 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148 + -147.39. Let i = p - -2.79. What is i rounded to 1 decimal place?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 544 - 532. What is the second smallest value in h, 7\/5, -0.5?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**2 + 8. Let k(q) = 11*q**2 - 14. Let j(f) = 7*a(f) + 4*k(f). Let x(n) = -n. What is x(j(l))?\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60) - (sqrt(960) + (sqrt(960)*-2 - sqrt(960) - sqrt(960) - sqrt(960)) + sqrt(960)))\/(sqrt(108)*4).\nAnswer: 13*sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 11 + 20 = 0. Suppose -6*s - 7 + 55 = 0. Calculate the remainder when m is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 19*w**2. Let s(j) be the first derivative of -20*j**2 + 216. Determine s(l(v)).\nAnswer: -760*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 83117130 <= 83117130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 19. Let a be -3 + ((-98)\/147)\/(5\/(-42)). Put z, -0.2, a in descending order.\nAnswer: z, a, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 10:27 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of -m**10\/30240 + m**7\/840 - m**4\/4 - 3*m. Let a(j) be the third derivative of x(j). Find the third derivative of a(u) wrt u.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/360 and -137\/42696.\nAnswer: 213480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23160682?\nAnswer: 2, 53, 151, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -253.032 - -253. Let h = m - 3.968. Let r = 4 + -5. Which is the third smallest value? (a) r (b) -1\/2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342.67 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, q: 8, p: 3, d: 1, l: 4}. Give prob of picking 1 l and 1 q.\nAnswer: 32\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -47, -5, 73, -0.5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + r**2 - 632*r**4 + 315*r**4 + 315*r**4 as v + n*r + y*r**3 + m*r**4 + o*r**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**3\/7 - 339714*h**2\/7 - 1358904*h\/7 = 0.\nAnswer: -4, 0, 113242","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 558 divided by -2.\nAnswer: -279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -b**7\/2100 + b**6\/180 - 2*b**5\/75 + b**4\/15 - 5*b**3\/6 - 4*b**2. Let h(a) be the first derivative of z(a). Factor h(n).\nAnswer: -2*(n - 2)**2*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 3 = -r - 12*a, -r + a = -17. Solve -11*u + r*u + 4 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/12*2)\/((-2)\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uon when three letters picked without replacement from oxrrnrrnu.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2110 - 3453 - 2*f - 534 + 0*f.\nAnswer: -2*f - 6097","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*v - 3*v + v - 5*v + 3*v + 1 - 7*v + (-2 - 1 + 4)*(-v - 2 + 2).\nAnswer: -18*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1892020?\nAnswer: 2, 5, 13, 19, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -518543 (base 10) in base 14?\nAnswer: -d6d8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 2, p: 3, i: 1}. Give prob of sequence jv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c - 24*c = -325 - 239 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1862 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2372 - -2374. Which is the biggest value? (a) 0.6 (b) o (c) 5 (d) -2 (e) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from ajx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90379 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6377 is divided by 189?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) 5 (c) 1 (d) -4 (e) -58\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -161057, -133\/4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -526, 5, -22, -4.\nAnswer: -526, -22, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifty-nine fifths of a second?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*4\/136 + 21\/119*27246\/171?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158*q**2 + 172 - 172.\nAnswer: -158*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.1 + 0.6. Let d be ((-24)\/16)\/((-1)\/(-2)). Which is the second smallest value? (a) d (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1755705871 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14093*k + k**3 - 3*k**3 - 14093*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35917 - -70183. Is 61 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -473250 minus 824.394?\nAnswer: -474074.394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -7*z - 3. Let r(b) = -8*b + 13. Let c be r(2). Let p(t) = 13*t + 5. Determine c*p(k) - 5*s(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 - 0*2\/(-6). Calculate the greatest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4404 + 4309 - (-91 - -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -828*k**3 - 748*k**3 + 1573*k**3.\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -d**3\/3 + 25*d**2\/2 - 7*d. Let v = 21 + -15. Calculate the smallest common multiple of v and p(8).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54894191*q**3 - 76875548*q.\nAnswer: -329365146*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - 1)*4\/((-10)\/5). Suppose -w*c - 4*d + 395 = -5*d, -305 = -3*c - d. Suppose -6*p = -p - c. Calculate the smallest common multiple of p and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 345 (base 12) to base 6.\nAnswer: 2125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of h**4\/18 + 124*h**3\/27 - h**2\/9 - 124*h\/9 - 339. Let f(p) = 0. What is p?\nAnswer: -62, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of -11*i**6\/3 - 2*i**4 - 66*i**2 + 277. What is the second derivative of t(s) wrt s?\nAnswer: -440*s**3 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -219, -438, -657, -876, -1095, -1314?\n\"Answer: -219*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12 - 3*q**3 + 1566*q - 782*q - 778*q + 60*q**4 wrt q?\nAnswer: 720*q**2 - 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -1. Suppose -a + 8 = -f, -5*a - 2*f = 2 - 7. Differentiate -3 + w*j**3 - j**4 - 8*j**a with respect to j.\nAnswer: -4*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-3)\/f*f**(-2\/5))**33 assuming f is positive.\nAnswer: f**(-726\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -1613.\nAnswer: -38\/1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.69 - -0.29. Let r = -3.40000017 - t. What is r rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-156)\/117)\/(14*(-4)\/12).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 104*y + 104. List the prime factors of d(5).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-7)*p**1\/p)\/(p\/(p\/((p*p\/((p**(-1)*p*p)\/p))\/p)))**3)**(2\/13))**(-10\/3) assuming p is positive.\nAnswer: p**(200\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**5\/20 + 5*z**4\/12 - z**3\/6 - 2*z**2 + 2*z. Let h be p(-5). Put -3, 2, h in descending order.\nAnswer: 2, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 882 and 183162?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 51 + -39. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/3796 and 111\/13160732?\nAnswer: 13160732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 220\/22*2\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -290*t**2*v**3 - 2*t**2*v**2 - 6*t**2*v + 9*t*v**2 wrt v?\nAnswer: -1740*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/1301496 and 43\/48387.\nAnswer: 165289992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 2*g - 2*g + g**2 + 2 - 2 + (-2*g - g + 2*g)*(3*g + 0*g + 0*g) - 51 - 3*g**2 + 51 - 4*g**2 - 4 + 4 + 2 - 2*g**2 - 2.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1064776163089 - 5*p - 1064776163089.\nAnswer: -5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 2*n - 2*n + 2*n + n - n + (-1 - 4 + 3)*(4*n - 4*n - n) - 1 + n + 1 + 2*n - 3*n + 2*n)*(2*n + 5*n - 6*n + (-4 + 0 + 3)*(2*n + n + n) - n - n + n).\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -6938300 to the nearest 100000.\nAnswer: -6900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 234474458709389 from 3.\nAnswer: -234474458709386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -0.4 (b) -1\/7 (c) 19 (d) -32 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(22\/5)\/((p\/((p**24\/p)\/p))\/p))\/((p*p**38\/p)\/(p*p**38)))**(-6\/7) assuming p is positive.\nAnswer: p**(-822\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 63615, 0.5, 4\/269?\nAnswer: 4\/269","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 s when three letters picked without replacement from {g: 1, f: 4, s: 2, q: 1}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 62 - 60. Suppose 0 = -j - r*q - 0 + 16, -4*j - q = -36. Let n(m) = -m**2 + 8*m - 5. Determine n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 115, 117, 121, 127, 135, 145, 157?\n\"Answer: q**2 - q + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 96\/28*(38\/(-228))\/((-9)\/189)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*h + 5*h + 3*h + 49*h.\nAnswer: 52*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473874044?\nAnswer: 2, 7, 197, 85909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuu. What is prob of sequence uuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -123858 times 0.4\nAnswer: -49543.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {j: 1, p: 5, h: 1, a: 3, w: 1, t: 2}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-nine sixths of a decade?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 3*l**2 + 9*l + 1. Let b(u) = -5*u**2 - 1. Let k be (2 + -1 + -2)\/(-1). Let c be b(k). Is a(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**4 + 11*i**3 - 50*i - 5. Let g(s) = 3*s**4 - 16*s**3 + 75*s + 8. Let o(a) = 5*g(a) + 8*z(a). What is the second derivative of o(k) wrt k?\nAnswer: -12*k**2 + 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44649?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 + -0.4. Suppose -6 = 3*u - 0*u. Put c, -5, u in ascending order.\nAnswer: -5, u, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus -1.577?\nAnswer: 6.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((105\/(-14))\/15)\/((-2)\/(-4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 7:42 PM?\nAnswer: 5:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 75821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 + -9. Suppose -20 = -5*p + 4*g, p = -2*g + 4 - 0. Suppose -5*z = -r*y + 3*y - 21, 3*z - p*y - 7 = 0. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*b - 2 = 38. Let w(h) be the third derivative of 0*h + 0 + 0*h**3 - h**2 - 1\/24*h**4 - 1\/30*h**6 - 1\/12*h**b. Factor w(m).\nAnswer: -m*(m + 1)*(4*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 8 = -0. Let o = p + 0. Calculate the common denominator of (-561)\/(-70) + o\/(-7) and -119\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110963 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 347724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -36, -64, -94?\nAnswer: -126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 149 + -93. Let x = -23 + n. Let h = x - 33.315. Round h to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201180.568 rounded to the nearest 100?\nAnswer: -201200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -h**4\/4 + 32*h**3 - 3761*h**2\/4 - 6499*h\/2 + 4158 = 0.\nAnswer: -4, 1, 54, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 12. Let v be u(-12). Let f(p) = 1 - 2*p + v - 2*p - p. What is f(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - a + 3 = -z, -3*a + 4*z - 8 = 0. What is the remainder when 123 is divided by (-2)\/(3 - a) - (-29 + -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 654 = -2*l + b, 3*b - 657 = 2*l. Let n(a) = -6*a**2 + 6*a - 1. Let d be n(5). Let c = d - l. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -16 + 34?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 442 divided by -1\nAnswer: -442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -536 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.121 + 0.621. What is the nearest to -1\/13 in a, -2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + 439d78d3?\nAnswer: 439d78d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 28*k + 93. What is r(-5)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -58*q - 137. Let v(n) = 178 - 132 + 5*n + n + 13*n. Let y(m) = -3*o(m) - 8*v(m). Find the first derivative of y(h) wrt h.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jna when three letters picked without replacement from aaooojonohajhhajjhh?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Let k = q - 3. Which is greater: 5\/6 or k?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.662869 - -10.135101. Let z = 11.8 - c. Round z to four dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.33 in 54.26, 0.4, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -85 - -102. Suppose -l*q = -4*q - 65. Let x be ((-4)\/(-12))\/((-1)\/6). Put -5, q, x in increasing order.\nAnswer: -5, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-3\/5)\/(o*o*o**(-2\/21)*o)*o*o**26*o*o**(1\/13) assuming o is positive.\nAnswer: o**(33541\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2744545031 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -475159?\nAnswer: 950318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69467?\nAnswer: 69467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y**2 - 9*y - 1. Give k(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**2 - 2*y - 1. Let n(r) = -9*r**2 - 12*r + 5. Let s(x) = -4*i(x) + n(x). What is s(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*5*(sqrt(108) + -1)*-5)**2.\nAnswer: -6750000*sqrt(3) + 61312500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.63512 times 0.52?\nAnswer: -1.8902624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 AM and 1:41 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-14 - -7) + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13868.\nAnswer: 2, 3467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -238628, -238627, -238626, -238625, -238624?\n\"Answer: q - 238629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 greater than 304\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2*t = 14 - 4, -3*t - 6 = -3*y. Let u(q) be the third derivative of 1\/24*q**4 + 0*q + 0 + q**2 + 1\/6*q**y. Determine u(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36582 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 16, 47, 1, 3, 12 in increasing order.\nAnswer: 1, 3, 5, 12, 16, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -5503*y**2. Let w(z) = -3*z**2. What is w(i(a))?\nAnswer: -90849027*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68014?\nAnswer: 2, 31, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**2 - 15*b + 15. Let a be 5 + (-2 - 6 - -6). Let p be r(a). Let s(d) = d**2 + 3*d. Let g(l) = 2*l. Give p*g(h) + 2*s(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -816560 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47166 and 5?\nAnswer: 235830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 2 - 1)*(-f + 3*f - f) + 879 - 1212*f + 882 - 1760 as p + b*f and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 9888*w**2 - 7*w - 19279 wrt w.\nAnswer: 19776*w - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l - 2*l**5 + l + (4*l + l - 6*l)*(l**4 - 4*l**4 + 2*l**4) - 2738 + 2738 - 44*l**5 + 4 + 2*l**5 - 4.\nAnswer: -43*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*x - 8 = 13*x. Suppose 8 - x = 2*g. Let d = 353\/91 - 56\/13. Which is the second smallest value? (a) d (b) 0.4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/5, 9.354 in descending order.\nAnswer: 9.354, -1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -270 + 257 - (-6 + -1) - (2 - -1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 149 = 3*k + 8*f, 2*k - 102 = -2*f. Let u be (-14 - 8)*(28\/(-8))\/7. Suppose 0 = -3*v + k - u. What is the greatest common divisor of 35 and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1121 - 1121.3. Let g = -0.7 + 0.4. Suppose 8 = 4*f - o + 5*o, -2*o - 5 = 5*f. What is the closest to g in -1\/8, f, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 487, 1170, 2211, 3784, 6063?\nAnswer: 9222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 356232 divided by 1?\nAnswer: 356232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 - 9*m. Let y be (6\/4)\/((-6)\/(-28)). Let z be l(y). Suppose 5*a - 113 = z. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, d: 6, w: 7}. What is prob of sequence dj?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8293011 and 1647?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y - 22*y = 0. Suppose 4*s + 4*b - 2*b - 12 = 0, y = -4*s + b. What are the prime factors of ((-6)\/12 + 0)*(-279 + s)?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 372*t**2 - 305*t + 4204. Is z(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142305 and 38160.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 440e (base 16) to base 4.\nAnswer: 10100032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*h = 60 - 164 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 94.19916 micrograms?\nAnswer: 0.00000009419916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64 - 77*b**3 - 43*b**3 - 13 + b**2.\nAnswer: -120*b**3 + b**2 - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 403529680.\nAnswer: 2, 5, 17, 296713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 173 minutes before 1:34 AM?\nAnswer: 10:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107*k = 502 + 33. Let r = 107 - -5003. Find the first derivative of -11 - r*j**3 + 5110*j**3 + k*j**4 wrt j.\nAnswer: 20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8924 and -71\/3588?\nAnswer: 348036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*s - 568 = -123, -2*s + 97 = g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/(-110) - (-2)\/5. What is the third smallest value in 4, z, -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*c = 3*v - 33*c - 3, -2*v - 5*c = -8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 21 = 4*x, -4*h - 3*x - 15 = -2*x. Let p = 119 - 119. Are h and p non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191.84 - 2.96. Round v to the nearest ten.\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.6 - -0.7. Let h = t - 0.1. Let o = h + 0.03. What is the third biggest value in 4, o, 0.1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 41*u**6\/90 - 7*u**5\/5 + u**4\/6 + 43*u**3\/6 + 10*u**2 - 4*u. Let w(v) be the first derivative of t(v). Factor w(f).\nAnswer: 4*(f - 1)*(41*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -104.5607 + 20.6117. Let r = d - -84. What is r rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 880.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the second derivative of -v**7\/42 + v**6\/15 - v**4\/6 + v**3\/6 + 5*v. Factor u(f).\nAnswer: -f*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1 - 2*y - 5*y + 0. Let f be x(1). Calculate the common denominator of (-231)\/(-4)*4\/f and 89\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -101, -405, -911, -1619, -2529?\n\"Answer: -101*z**2 - z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -399 + 399.000001336. What is x rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 60*s**3 - 7*s**2 - 21*s. Let n(d) = -4*d. Let q(c) = -m(c) + 5*n(c). What is the third derivative of q(v) wrt v?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-108)\/33)\/6)\/(-3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -3*b**3\/8 - 88329*b**2\/8 + 176667*b\/8 - 88335\/8 = 0.\nAnswer: -29445, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/21, -3, -0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12593 - -31944. Is 31 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4601071\/109 + 42212. Is t greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*((-14)\/(-7) + (-42 - -1)). What is the third derivative of 3*q**2 - 14*q**4 - 117 + z wrt q?\nAnswer: -336*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-20) + (-24)\/(-10). Let b(z) = z**2 - 2. Let u be b(x). Let v = -0.362 - 0.138. What is the nearest to u in -2\/11, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 + 8*n + 4. Calculate the lowest common multiple of 22 and i(4).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2292 - 5914157.53\nAnswer: -5911865.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 16*c**2 + 3*c. Let p(n) = -5*n**2. What is q(p(a))?\nAnswer: 400*a**4 - 15*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 16151778 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - d - 2. Let n be q(-2). Suppose 0 = -2*c + 6*c + n*o - 320, 0 = -2*c + 3*o + 135. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38798 - -11933. List the prime factors of y.\nAnswer: 97, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 7*a = 55. Suppose 0 = -5*o + 4*l + 393, o - 4*l - 73 = -6*l. Calculate the highest common factor of a and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -55798?\nAnswer: 167394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 9846839459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -96348 divided by -816?\nAnswer: 8029\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 108*((-176)\/(-84) - 0). Let f = 9759\/2 + -4658. Let v = r - f. Find the common denominator of -115\/14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 238, 0.4, -1\/21, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + (sqrt(396)*2)**2 - 2*sqrt(396)*3)*4.\nAnswer: -288*sqrt(11) + 12664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/135)\/((-2)\/(-8)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-1\/5)*y*(y**7\/y)\/y)\/(y\/y**(2\/23)*y*y*y*(y**(-4\/13)\/y*y)\/y) assuming y is positive.\nAnswer: y**(6869\/1495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 16. Let y be 2\/(-2) - (-4 - o). Suppose 4*g = -2*c - y, -2*c + 0 = -g - 6. What are the prime factors of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(684) + 0 + -3 - ((-1*sqrt(171)*-1)\/(sqrt(36)\/sqrt(16)))**2) + -1.\nAnswer: -81 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.188 + 0.012. Put -11, i, 1 in increasing order.\nAnswer: -11, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**2 - p + 6. Let d(i) = 5*i - 2*i - i + 13*i**2 - 13. What is -9*c(t) - 4*d(t)?\nAnswer: 2*t**2 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1067448831 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1653 is divided by 464?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c + 46. Let m(l) = -3*l - 31. Let h(v) = -7*m(v) - 5*p(v). Let w(j) = -j + 12. Let r(n) = 6*h(n) + 7*w(n). Let y(a) = -a. What is r(y(s))?\nAnswer: s + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1958208 to the power of 1\/2, to the nearest integer?\nAnswer: 1399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, n: 2}. Give prob of sequence qqqn.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -28*g - 16. Let c(z) = 9*z + 5. Let s(j) = 16*c(j) + 5*r(j). Let o(a) = 19711 - 9857 - 3*a - 9854. Calculate o(s(n)).\nAnswer: -12*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {o: 1, j: 3, d: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence osoo when four letters picked without replacement from ooooooso?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 1. Suppose 0 = 5*y + 4*u + 16, -y - y = -4*u + 12. What is the third biggest value in y, s, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*(t\/(t*t\/t**(2\/3)*t))\/t*t**(-5)*(t**(-1\/2))**(-1\/32))**(3\/10) assuming t is positive.\nAnswer: t**(-1213\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -149, -357, -567, -779, -993?\n\"Answer: -b**2 - 205*b + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/(-7) - (-14 - (-6 - 6))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 27560*b - 37977680.\nAnswer: -5*(b - 2756)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -207 - -182 - (-7 - 6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 + g + 1. Let i = -2 - -5. Let c(z) = 1 - z + 2*z**2 + 1 - i + 0. Let r(q) = c(q) + l(q). Let a(n) = 10*n**2. Determine r(a(b)).\nAnswer: 100*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oor when three letters picked without replacement from rrroroororr?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -741*p**6 - 149*p**2 + 4291*p**2 + 2335*p**6 wrt p?\nAnswer: 191280*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 2*r = -170, 4*r - 38 = -0*u - u. Let q = u + -812\/15. Which is the second biggest value? (a) 5 (b) q (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 1. Let p(c) = 37*c**2 - 10*c - 4. Let b(r) = -p(r) - 3*x(r). What is the second derivative of b(l) wrt l?\nAnswer: -74","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3361 or 50.1?\nAnswer: 50.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-3\/11))**(-47) assuming f is positive.\nAnswer: f**(-376\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3 + 2 - (3 + -605).\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 658?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - -2) + 18 + (-52 - 20).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1411557939.\nAnswer: 3, 11, 14258161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*i**4*l**2 + 7*i**4*l + 2*i - 11*l**2 wrt i?\nAnswer: 24*i**2*l**2 + 84*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -0.17, 5, -3?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**3\/6 + 2*m**2 + m. Let u be c(0). Differentiate -5*l**4 - 1 - 1 + 8*l**u with respect to l.\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 + -6 - (-1 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/31)*r*r*r*r**(1\/4)*r*r assuming r is positive.\nAnswer: r**(643\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, o: 1, u: 1, s: 1, w: 2}. Give prob of picking 2 w and 1 l.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c + 4*g + 234 = 15*c, 0 = -3*c - 4*g + 210. Calculate the remainder when 515 is divided by c.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.07824 + -0.02524. Let t = s + -0.589. Round t to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2. Let l(x) be the second derivative of x**6\/90 + 3*x**3\/2 - 8*x. Let y(c) be the second derivative of l(c). Determine y(u(s)).\nAnswer: 100*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 - (-12 + -3 - -19 - (7 - 0)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -22028*s + 43999*s - 21521*s + 449 + s**2 = 0. What is s?\nAnswer: -449, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3347 divided by 2\nAnswer: -3347\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/7 + 8040*m\/7 + 16088\/7.\nAnswer: -2*(m - 4022)*(m + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*x - 12 = 72*x, 5*x = -4*o + 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105 = 26*a - 61*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 169*d - 168*d + 21 = 3*p, 4*d = -5*p + 18. Solve 2*q - p = 0, 3*c + 11 = -2*c + 2*q for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-6 + 38\/6)*2. Put n, -5, -149 in decreasing order.\nAnswer: n, -5, -149","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g**7*g*(g*(g*g**(-4\/7))\/g)\/g*((g**2\/g)\/g)**8 assuming g is positive.\nAnswer: g**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5154048 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5493 - -6182. Calculate the greatest common divisor of 65 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3064475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113\/4 + -28. Let f = -11884 + 261401\/22. Find the common denominator of l and f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 3*f - 11, -4*f = 4*q - 2*f. Let p = 0 + q. Calculate the highest common factor of 11 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes after 9:46 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.96 - 1. Let y = -257152 - -257150. Let w be ((-2)\/4)\/(2\/16). What is the second biggest value in l, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 135?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 - -48. Let n(o) = -6*o + 1. What is the smallest common multiple of n(-1) and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 221 - 221. Let p be 8\/(-36) + 8\/(-54)*-15. Solve y*u**p + 1\/2 - 3\/4*u + 1\/4*u**3 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8 less than 0.0489885938794?\nAnswer: -0.7510114061206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5992613 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 736657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.23, -0.07, 4, -5, 10?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-122 - 7) + 13 + -26 + 11.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = 2*l, 2*w + 0*w - 4 = 0. Let t(v) = 2 - 7*v + l - 2. Let o = 4 - 3. Calculate t(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -46?\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 804 and 8241?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 857736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 2:29 AM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -692.6 to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1006, -2020, -3062, -4144, -5278, -6476, -7750?\nAnswer: -9112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((14760\/(-108))\/82)\/((-1)\/(-21))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 18*l + 870 = 26*q, 97 = 2*l - 2*q + 175 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 224962 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k - 20. Let w be y(-14). Let l(c) = -c**3 + 7*c**2 + 15*c + 8. Let i be l(8). What is the highest common factor of w and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 127466 and 42?\nAnswer: 2676786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 12*p**2 - 5*p + 18. Let r(b) = 11*b**2 - 4*b + 15. Let c(v) = 5*g(v) - 6*r(v). Find s, given that c(s) = 0.\nAnswer: -1\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 541 a factor of 23312772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 52*c + 0 + 29*c in the form k + g*c and give g.\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31.81 + -32. Let k = 5.19 + o. Let y = 0.2 + -0.1. Sort y, k, 0.2.\nAnswer: y, 0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9500443 is divided by 132.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 + 170*c\/3 - 14450\/3.\nAnswer: -(c - 170)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(49)\/sqrt(7) + sqrt(7))*1*3 + 2.\nAnswer: 2 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4*m)*(0 + 0 - 2*m**4) + 2*m**5 + 0*m**4 + 0*m**4 + m.\nAnswer: 10*m**5 + m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4713?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a = 72*a + 56. What is the nearest to -4 in 2\/9, 5, -4, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*2135.91.\nAnswer: -427.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/180*(-9)\/((-54)\/30)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, a: 7}. Give prob of picking 1 z and 1 a.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -34, -2\/23, 10\/7, -7\/8, 2\/9, 1, -6?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2 - 14. Let n be ((-1)\/9)\/(f\/264). Solve 4\/3 + 8*k**2 + n*k = 0.\nAnswer: -2\/3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + -5. What are the prime factors of (d\/6)\/((-1)\/21)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286\/(-2667)*98\/(-4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183232?\nAnswer: 2, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxxwwwrwxrrx. What is prob of sequence xwx?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30279?\nAnswer: 3, 10093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 661*d - 6 - 2 + 715*d - 4 + 12 - 1380*d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12\/53 - -243\/371. Which is bigger: 2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 230*x - 8381 = 4499 for x.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4697 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2. Let w be -2 - n\/(-1) - -7. Let f(p) = -p**3 + 8*p**2 - 3*p - 28. Let u(m) = m**2 + m - 14. Let z(g) = -f(g) + 2*u(g). Give z(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*n**2 + 4 - 1 + 235*n**2 + 2 + 49*n - 7 wrt n.\nAnswer: 350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 35 (b) -4 (c) 0.454 (d) -45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 14*v**3 + 3*v**2 - 3*v - 9. Let l(r) = -18*r**3 - r**2 + 5*r + 12. Let f(z) = -4*l(z) - 5*q(z). Give f(5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 19. Let r = 21 - z. Solve 10 = 4*j - r for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1995320682 to the nearest integer?\nAnswer: 1259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34, 73, 112, 151, 190, 229?\n\"Answer: 39*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 345\/(-220) + 2 - 10\/55.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 - 7. Let s(c) = 1. Let o(m) = 2*n(m) + 14*s(m). Let g(j) = -3*j + 176 + j - 176 - 4*j. Give g(o(r)).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 4*u = 15. Let f = -27 - -50. Let p be (-1 + f + 2)*7\/14. Solve -u*m + p = -13 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1012584 is divided by 353?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1\/6 (b) -4 (c) -80\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 14332.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -241 (base 14) in base 13?\nAnswer: -287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffzfffffz. Give prob of picking 2 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 5. Let l be f(-7). Suppose l*p = -6, 2*s + 3*s = 5*p + 405. Suppose -5*c + 8*c - s = 0. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177503 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 79*r**2 - 101*r - 871. What is p(-80)?\nAnswer: 809","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335*s = -411*s + 14920 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 10, b: 4}. What is prob of picking 1 b and 1 m?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.63722*-0.14.\nAnswer: -0.9292108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-59)\/649*-33*8\/(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11261\/15499 + 1\/1409. Let 0 + 10\/11*u**2 - b*u**3 + 2\/11*u**4 - 4\/11*u = 0. Calculate u.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -70 (base 10) in base 3?\nAnswer: -2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7402 at most 7406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 t when two letters picked without replacement from {n: 2, d: 2, h: 2, t: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.08, -1\/4, -2.7971?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**3 - 10701*u**2 + 382320*u - 3432132 = 0.\nAnswer: 18, 3531","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 + 0)*(-47*i - 36*i - 16*i) + 4 + i - 4 to the form w + t*i and give t.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -11045100 to the nearest ten thousand.\nAnswer: -11050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-36) - 3\/(-2) - -45. Let s = -48 + d. Is 2 a factor of ((-4)\/8 - (-122)\/4) + s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 3*i + 68. Let n be a(-10). Let p be 0\/(2 + (0 - 3)). Let y = p - 1. Put n, y, -4 in ascending order.\nAnswer: -4, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) - -3*(-1 + sqrt(19)) - (sqrt(19) + (sqrt(228)*2)\/sqrt(12)))**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-18)*-3*(-12)\/396*-27.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 6, 1287*q + 3*y = 1292*q + 9 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-100)\/63 + 4\/(-18). Let o = y - -22\/7. What is the smallest value in o, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmmrmmrrmrmmmrrrmmr. Give prob of picking 1 m and 2 r.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - 26. Let u = -44.18463995 - -92.18463976. Let s = u + q. Round s to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 885?\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3650 and 776491875.\nAnswer: 1825","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413831*h - 827690*h - 3*h**2 + 413859*h.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6623 + -3?\nAnswer: -6626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 181655, 181660, 181667, 181676, 181687, 181700?\nAnswer: 181715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*w - 35, -5*w + 58 = 4*n - 3*w. Let m = n - 3. Calculate the least common multiple of m and -33*(-1)\/(6\/4).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*a**3 + 10*a**2 + 5*a.\nAnswer: 5*a*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 30*t + 251. Calculate g(-13).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 142 + -85. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - 7*j + 641. Is d(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6073039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 - -22. What is the smallest common multiple of 2 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand j**5 - 4*j**3 + 4*j**3 - 1 - 2*j**5 + 1 + (2*j - 2*j**2 - 2*j)*(-j**3 + 0*j**3 + 3*j**3) - 3*j**5 + 3*j**5 + 2*j**5.\nAnswer: -3*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*a**2 + 6 + 1 - 2*a**3 - 7 as i*a**3 + y*a**2 + b*a + m and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 1:16 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/324 + 11*2\/54?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * 36147.\nAnswer: -253029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*z = 2*m - 81, m - 4*z - 93 = 0. Let v = m - 82. What is the second derivative of 1002*o - 26*o**3 - 9*o**v - 994*o wrt o?\nAnswer: -210*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125948 and 26751?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 2*h + 3. Let g be r(-2). Suppose -m + g*m = 4. Suppose -5*o = -d - 2*d + 9, 6 = o + m*d. What is the third smallest value in o, 2\/3, -1\/8?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -239*s + 635. Let p be o(-30). Suppose -93 = -3*b - 0*b. Suppose 0 = -26*d + b*d - p. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 4*i - 11 - 8*i + 10152*i**2 - i**3 - 10148*i**2 + 11*i. What is o(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2192051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 6.2. Which is smaller: 0 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 256208*f**3 - 8376839*f**2.\nAnswer: 1537248","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00324271 rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r**3 - 7*r + 29. Let w(a) = a**3 - 4*a + 15. Give -7*w(f) + 4*x(f).\nAnswer: f**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -16989, -16987, -16985, -16983, -16981?\n\"Answer: 2*k - 16991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 353 + -227. Let k = y + -89. Is 20 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 6024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/15*-5*3. Suppose 0 = c - 2 - b. What is the units digit of 12 + 0*c\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4417.7 - 4418. Let p = -4 + 8. Let m = -1.3 - -0.3. Sort m, p, q in increasing order.\nAnswer: m, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 73690?\nAnswer: -5\/14738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 3:40 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2243491 - 997547 - 2057112 = -330*l. Is 14 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t**2 + 3*t**3 + 11*t**2 - 4*t**4 + 46 - 46 + t to the form d + x*t**3 + v*t**4 + i*t + a*t**2 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2742.97581 + -2743. What is f rounded to three dps?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(14\/5)\/(z*z*z*z**(-6\/11)\/z*z) assuming z is positive.\nAnswer: z**(19\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233*l + 5 = -228*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5855 - 5870. Sort -0.2, 1, l, 0.\nAnswer: l, -0.2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*d + 24, -d + 2*p + 7 = -2*d. Suppose -d*q = 5*v - 11, 6 = q + 3*v + 1. Solve 3*y - 1 = -4, -7 = -5*z + q*y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -1\/2*j**2 - j - 4. What is x(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 94*f**3 + 19*f**2 + 103*f - 271. Determine c(2).\nAnswer: 763","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -11*x**3 + 9*x + 9. Let r(o) = 6*o**3 - 4*o - 4. Give 2*m(v) + 5*r(v).\nAnswer: 8*v**3 - 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*w - 7 = 143*w - 3*x, -x = -w + 3*w + 1 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - 12395*m + 86708. Determine w(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -385 - 5365. Let u be (6480\/(-9))\/(-1 + (-5752)\/v). Round u to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = 125*k + 684 + 1138 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 272 + -279. Let v be 6\/((-119)\/(-14) + g). Solve -2*r + 3*r - v = 0, 3*r - 7 = -5*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 5*b - 6. Let i be w(-5). Let p = -3 - i. Calculate the remainder when 3 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1299 + -16?\nAnswer: -12b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 14*l - 24. Let h be w(-17). Let r = h - 27. Solve r = -5*m + 24 + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 5*j + 325 = 4*k, 2*k + k - 11*j - 195 = -14*j for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 18, 1, -0.096224, -2?\nAnswer: -0.096224","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/((-88)\/(-176)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -298336\nAnswer: -119334.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1294803 is divided by 6674?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**2 + 10*t + 11. Let x be q(12). Let b be -7 + 11\/((-11)\/x). Let p(y) = -8*y - 2*y**2 - 3*y**2 + y**3 + 0*y**3 - 2. What is p(b)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -2)*(13 + -8). Let m be ((-4)\/s)\/(7\/(-490)). Let u = 85 + m. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10.1850726 to two decimal places.\nAnswer: 10.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -163 + 485\/3. What is the common denominator of q and -16\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5578\/3 - -1883. What is the common denominator of m and -55\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of 3*o**3 - o**2 - o. Let n be l(3). Let g = -25 + n. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.279 - 83.721. Which is the second smallest value? (a) 2\/9 (b) -6 (c) l (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 33. Calculate the highest common divisor of 57 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15290.445 months to centuries.\nAnswer: 12.7420375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -4*t - 13729, 9*t - 4*n + 3411 = 8*t. Let s = -2335 - t. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmmwwm. What is prob of sequence wwmw?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/2? (a) 1\/5 (b) 2\/7 (c) -4\/497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -135072288 divided by -48\nAnswer: 2814006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13568530?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/33 + (-74 - -61) + -3 + 16.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 - 9*f**2 + f + 11. Let w be n(-9). Let k(s) = 19*s**3 - 4*s**2 + 3*s - 2. Does 24 divide k(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100 + 502\/5. Which is smaller: g or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**2 - 14*l + 3. Let c(x) be the second derivative of x**4\/12 + 7*x**3\/6 - x**2\/2 - 36*x. What is 5*c(b) + 2*g(b)?\nAnswer: -b**2 + 7*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 8*g**2 - 9*g. Let r be x(-9). Suppose -4*j + 4 + 0 = r. Put j, -5, 2 in decreasing order.\nAnswer: 2, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1\/4, 6\/11, 9243, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -585?\nAnswer: -585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 1.36599.\nAnswer: -2.73198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1074 + 1074.1. Which is the nearest to u? (a) 101 (b) 2\/19 (c) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - -2730525?\nAnswer: 2730523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/6)\/((-16)\/24)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20356?\nAnswer: 2, 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496 divided by -4?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m**3 - 16*m**4 - 7*m + 11*m**4 + m**3 wrt m?\nAnswer: -60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d**3 - d**3 + 3*d**3)*(0 + 3 - 2 - 1 + 4 - 1 + (2 + 0 - 1)*(-1 + 1 + 2) + 237 - 213 - 470) to the form q*d + b*d**3 + s*d**2 + l and give b.\nAnswer: -882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -222764*y**2 - 35*y + 3. Let k(r) = -3*r. Give b(k(p)).\nAnswer: -2004876*p**2 + 105*p + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 14 = 22. Calculate the least common multiple of p and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, d: 1}. Give prob of picking 3 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hc when two letters picked without replacement from cxcxxcxxcchxh?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -53476*y**2 + 17826*y**2 + 17824*y**2 + 17822*y**2. Let t(h) = -2*h - 319. Calculate t(j(f)).\nAnswer: 8*f**2 - 319","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 4*l + 10. Suppose 4*v = v - 18. Let m be w(v). Let y = m + 9. Does 31 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/5, -2\/91, 0.5?\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 7, b: 5}. What is prob of picking 1 k and 1 b?\nAnswer: 35\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*w - 133*w + 668 = 70*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3674139 is divided by 1046?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.7 (b) -0.98 (c) -4 (d) 0 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f**3 - 19 + f**3 + 7516*f + 14*f**2 - 7526*f - 6*f**3 + 7*f**3. Give s(13).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25178507 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from csgcgssfcfcxcxc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g**(-3\/4)*g*g)\/(g\/(g**(-6\/17)*g))*g**(-9\/4)\/g*g*g\/(g*(((g**8*g)\/g)\/g)\/g)*g assuming g is positive.\nAnswer: g**(-74\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 24*s - 731. Calculate a(30).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -259, -1\/12.\nAnswer: -259, -1\/12, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -131441324?\nAnswer: 131441333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6014.45 nanometers in micrometers?\nAnswer: 6.01445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 0*o**2 - o**2 + (o + 0*o + 0*o)*(15*o + 4*o + 7*o).\nAnswer: 25*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 2*m + 10, -3*m + 1 = -a - 4. Suppose -i + m*c = -42, -c - c = -6. What are the prime factors of i?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 452 is divided by 65.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -163, -149, -131, -109, -83, -53?\n\"Answer: 2*j**2 + 8*j - 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -1344*z. Let c(l) = 350333*l. Give c(p(t)).\nAnswer: -470847552*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/12)\/(11\/(-44)). Is 85 a factor of (11\/x)\/((-26)\/10842)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00205645713 rounded to four decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -27 (b) -7 (c) -1 (d) -9\/151\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -53138*w**2\/9 - 1304*w\/9 - 8\/9.\nAnswer: -2*(163*w + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sbbbobbbbbbsssoss. What is prob of picking 1 o, 1 s, and 1 b?\nAnswer: 27\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 71988817 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 691*b**2. Let y(r) = -r**2 - 2*r. Let x(s) = 2*s**2 + 8*s. Let o(j) = x(j) + 4*y(j). What is o(m(i))?\nAnswer: -954962*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 5*m**2 - 2*m. Let u(j) = -2*j**2 + j. Let y(z) = -h(z) - 2*u(z). Let q(p) = -44*p**2. What is y(q(v))?\nAnswer: -1936*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3734*d + 36822. Calculate g(9).\nAnswer: 3216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/15)\/(-7)*1\/(-2).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-109*a**2 - 30*a**2 + 36*a**2)*(-2 - 5 - 14) - 2*a**2 + 3*a - 3*a + (4 - 3*a - 4)*(0 + 0 + a) in the form s*a + f*a**2 + v and give f.\nAnswer: 2158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*i - 2 + (2 - 2 + 3*i)*(-31 + 17 - 11).\nAnswer: -77*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 238? (a) -50 (b) -0.11 (c) -1\/3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(2) + (-1*sqrt(16))\/sqrt(8)) + -5 + 6*sqrt(128).\nAnswer: -5 + 48*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = m - 2 + 1. What is the least common multiple of 9 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/7 - 90*f**3\/7 + 94*f**2\/7 + 90*f\/7 - 92\/7 = 0. Calculate f.\nAnswer: -46, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20511 is divided by 119?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*a - 6 = -158, -a - 75 = -2*v. Calculate the remainder when 147 is divided by v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**5 - 12*f**4 + 170*f**3 - 220*f**2 - 768*f + 832 = 0.\nAnswer: -13, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 5 = -3*w - 2, 0 = -w - 5*q - 16. What is the tens digit of ((-6)\/3)\/w - -85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 1249 = 1314 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 67, 205, 419, 721, 1123?\nAnswer: 1637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + sqrt(5) + sqrt(5))**2 + 1 + sqrt(405).\nAnswer: 73 + 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -72?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-548)\/8 - (-3)\/6) + 3. Let x = 69 + c. Suppose -v = 3*m - 243, 5*m + 1703 = x*v + 663. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14 - 36 - 26*g**2 + 22 as i + h*g + o*g**2 and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11358061 + 2603329 = -343*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.121 - 1.121. Which is the nearest to t? (a) 6\/13 (b) 0.1 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.184 and -0.265.\nAnswer: 0.57876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 11. Let v = -34 - -21. Let t be a(v). Suppose -t*f + 9 = f. Solve -f*j - 4 = -19 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.1. Let y = 15.2839 - 16.261. Let d = y - 0.0229. Which is the closest to o? (a) -2 (b) -5 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 1 = 6*t. Are -2\/11 and t nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/20*4*-5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.43843 kilograms to milligrams.\nAnswer: 2438430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49\/4 (b) -2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 72011323, 72011329, 72011337, 72011347, 72011359, 72011373?\n\"Answer: u**2 + 3*u + 72011319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11.1 + -11. Let l = 2.24 + -0.24. Let i = -0.03 - 3.97. Which is the third smallest value? (a) l (b) p (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/158967 and 109\/10.\nAnswer: 1589670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = -0*d. Suppose -4*g - 8 = -0. Suppose 4 = -2*y + 2. Put d, g, y in decreasing order.\nAnswer: d, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82269 - 21219 = -1110*k for k.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -643 (b) -3 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131890877 is divided by 414.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74704.24 litres to millilitres.\nAnswer: 74704240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 12 + 12)*(-7*h + 28*h + 38*h).\nAnswer: -118*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -450.62 and -562.\nAnswer: 253248.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35*((-1177)\/(-231) - 5))\/((-5)\/18).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (96\/(-46))\/(-1). Let b be (-4)\/(-18) + 76\/(-18). Let l = 53 + -52.9. What is the nearest to 0 in v, l, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 3. Suppose 5*g + c = 86, -s*g - 3*c = 2*c - 70. Suppose 24 = 11*x - 9*x. What is the highest common divisor of g and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 27 = 5*d, 3*d - 2 = 3*h + 10. What is the highest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/6917 - -6921\/13834. Factor 1\/2*w + m*w**5 + 3*w**3 + 2*w**2 + 0 + 2*w**4.\nAnswer: w*(w + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.0123839 + -5.01238355. Let a = u - 2. What is a rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121564947.\nAnswer: 3, 7, 107, 54101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - 24*d + 28. Let a be f(23). What is the closest to -4 in 1\/3, a, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g + 3 + 15. What is the closest to g in 0.1, -4, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:13 PM and 8:28 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4486045?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 5*a - 38 = -3*a, 12 = -3*a. Suppose -7*v + 10*v - p = 0. Find the first derivative of -184 + 19*w**v + 7*w**2 + 167 wrt w.\nAnswer: 52*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -4, 3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*r**4 - 7*r**3 - 200 wrt r?\nAnswer: 28*r**3 - 21*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - y + 317 = -35, 4*n - 2*y - 290 = 0. Let q = 106 - n. Let l = q + -25. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/2 + -24 + 5. Let u be (-86)\/(-10) + -3 + (-48)\/v. Solve 4*a + 8 = -u for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-129)\/602)\/(126\/32))\/(28\/(-98))\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 17672691*i**2 + 5982226 wrt i?\nAnswer: 35345382*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - -41. Let j = 76 - r. Let x be (-6)\/39 + (-9)\/78*-2. Which is the closest to 1? (a) x (b) j (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 320 divide 16944640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 44576?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 7*j - 33. Let c(g) = -14*g + 67. Let r(x) = 5*b(x) + 2*c(x). Let f be r(5). Suppose -f*o + 55 + 74 = u, 12 = 3*o. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -19 - (-2 + 8)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**2 + c - 1. Suppose 0 = -2*b + 5 + 3. Let q(u) = -6*u**2 - 2*u + 2. Determine b*z(n) + q(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60.113 - 60. Let z = g + -5.113. What is the second smallest value in 1, z, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of 1\/15*h**4 + 0*h**2 + 32*h - 3\/50*h**5 - 1\/30*h**3 + 2\/75*h**6 - 1\/210*h**7 + 0. Let x(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 q when four letters picked without replacement from iqqiqqqqqqiiiiiqii.\nAnswer: 21\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30 * 121.8796\nAnswer: 3656.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -8 (b) -1\/13 (c) 1266 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 14, 2\/3, -0.3, -3.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-855)\/(-266)*380\/(-285).\nAnswer: -30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 263*y = 264*y, 5*k + 3*y = -8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*n + 115 + 181. What is the remainder when 113 is divided by n\/(-72) - 1652\/(-36)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/(-15) + 316\/6 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdc when three letters picked without replacement from {t: 1, a: 1, c: 6, k: 2, d: 2}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000479701 rounded to seven dps?\nAnswer: -0.000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 - 148*s + 109. Let h be z(-50). Solve 6*u = -0*u + h*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 9:07 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1068 + 9.1068. What is the third biggest value in 3\/4, v, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 243 is divided by 90.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p - 1 = 0. Solve 2*g = g - p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 + g + 105. Let n be h(11). What is the thousands digit of (-15 - -7)*n\/(40\/1308)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h - 3. Let v be 2\/(((-50)\/18)\/1 + 3). Let r be ((-36)\/(-8))\/v + 15\/(-2). Give g(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2988)\/(-6723)*(8 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*sqrt(700) + -3 - sqrt(700)) + ((sqrt(700) - (sqrt(700) + -4) - sqrt(700)) + sqrt(700) + 1)**2 + -4 + -3 + -3.\nAnswer: -50*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 455, 69, 5, 7, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 50006.95 micrograms?\nAnswer: 0.05000695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 1. Suppose w - 4 = -p. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 1:16 AM?\nAnswer: 7:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1535335305?\nAnswer: 3, 5, 7, 109, 163, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73432.\nAnswer: 2, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4252 divided by 2?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 3*c**5\/20 + 5*c**4 + 50*c**3 - 142*c - 1. Suppose a(f) = 0. Calculate f.\nAnswer: -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8470.348um to nanometers.\nAnswer: 8470348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence co when two letters picked without replacement from {o: 9, c: 2}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3648 and 92?\nAnswer: 83904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 6*m + 84. Let q be v(-14). Suppose 5*x + a - 1238 = 811, 5*x - 5*a - 2055 = q. Calculate the greatest common factor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q + 1462281 = 398098. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 4*q = -85. Let s = q - 6. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*o + 41*o - 63. Suppose o*t = 2881 - 844. What is the remainder when t is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 27. Suppose -2*i = 3*g - 33, -i - 5*g + 2 = -4. Let d = i + r. What is the highest common factor of d and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.4*-33.\nAnswer: -178.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2. Let f(n) be the third derivative of -11*n**4\/12 - 2*n**3 + 9*n**2. Let i(t) = 9*t + 5. Let z(m) = -5*f(m) - 12*i(m). Calculate z(q(g)).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -7*a + 210. What is the greatest common factor of 30 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12750 - 50483\/4. Let o = u - 129. Which is the closest to 0? (a) -12 (b) o (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w - 54*w = 55*w - 700354. Is 8439 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.9 + 21. Let l = -5 + 7. Let y = s - l. What is the nearest to y in 1\/3, 3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76389517.\nAnswer: 17, 4493501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - g = 2*b + 23, b = -2*g + 26. Suppose 1 = 2*t + g. Let x(j) = j**2 + 8*j + 9. What is the remainder when x(t) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 184157*r**2*u + 4008*r*u - u - 2 wrt r?\nAnswer: 368314*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Let p = -7 - -12. Let y(b) = b**3 - b**2 - 3*b + 2. Let d be y(3). Solve -q + w*q - 2*j = 0, -q - d = p*j for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -198975\/103 less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 17765 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -2. Let r = -7.7 - -8. What is the closest to -0.2 in q, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3243 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18760?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -7*z + 55. Let t(g) = 2*g + 1. What is -2*c(l) - 6*t(l)?\nAnswer: 2*l - 116","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**2 + 23198840*h + 33636636084100 = 0. What is h?\nAnswer: -2899855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.32 + -3.42. Sort 0.18, -2, x, 0.4 in decreasing order.\nAnswer: 0.4, 0.18, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400)*2 - sqrt(1400)) + 2*sqrt(3584))\/(2*sqrt(288)*6).\nAnswer: 7*sqrt(7)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 42563524 to the power of 1\/2, to the nearest integer?\nAnswer: 6524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 3) to base 16.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -318, -310, -300, -288?\n\"Answer: t**2 + 5*t - 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l - 2*l + 3*l)*(-l - 2*l + l + 2 + 2*l**3).\nAnswer: -6*l**4 + 6*l**2 - 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -959.99999253 - -960. What is a rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-three fifths of a minute?\nAnswer: 876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 - ((-2 - -20) + 33) - -100\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413320 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 320*l - 3631 + 12271 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1088) + sqrt(1088) + 2)*-3)**2.\nAnswer: 576*sqrt(17) + 39204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1116 times 2680.33\nAnswer: -2991248.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*u**4 + 4*u**3 - 287716*u**2 - 38426067*u wrt u?\nAnswer: 36*u**2 + 24*u - 575432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 6. Let g be m(5). Let l = 1022 + -632. Is 1*(g + l) + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -73, -29 in decreasing order.\nAnswer: 1, 0, -29, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, g: 1, f: 2}. What is prob of sequence xgf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 f when two letters picked without replacement from dfodmmfdxfomxoododod.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4438 is divided by 735.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -22, -38, -50, -58?\n\"Answer: 2*v**2 - 26*v + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/15*(440\/420)\/22?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 + 10 = 3*p, 5 = w - 2*p. Suppose 48 = w*i + 28. Solve 88*r = 86*r - i for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18271*c + 18132*c - 2511 = 4161 for c.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 0 - 6 = 0. Which is the closest to -1? (a) u (b) -1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 46531.06 meters?\nAnswer: 46531060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t**3\/7 + 15*t**2 - 44*t + 204\/7 = 0.\nAnswer: 1, 2, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*w - 444186 = -441108 for w.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1463 - -109721\/75. Which is bigger: f or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147518 and 15604526.\nAnswer: 3598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i - 5*i + 0*i)*(28 - 28 + 3*i) + 0 + 0 - 2*i**2.\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 76584.7 plus -44?\nAnswer: 76540.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of w**5\/210 + 2*w**4\/21 - 3*w**3\/7 - 33*w**2. Factor v(f).\nAnswer: 2*(f - 1)*(f + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/10 + 18\/4. Suppose -l*v = -40 - 20. Let h = v + -9. Calculate the remainder when 5 is divided by h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12841 - -12835. Sort s, -1, -5, 1\/11.\nAnswer: s, -5, -1, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35 = 5*y + 4*a, 0 = -32*y + 35*y + 4*a - 29 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21419580 a multiple of 1092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 142747 and 451?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -276 - -280. Put 0, -27, v in descending order.\nAnswer: v, 0, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/310 and 72\/30485?\nAnswer: 1890070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence svk when three letters picked without replacement from {v: 7, p: 1, k: 7, s: 1}.\nAnswer: 7\/480","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-10 + -8 + 15).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3824, 14064, 31270, 55556, 87036?\nAnswer: 125824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (9 + (-3 - 16 - -34)).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1330*i**2 - 4*i. Let n(u) = -1328*u**2 - 3*u. Give -4*n(c) + 3*r(c).\nAnswer: 1322*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 2. Let u(w) = w**3 - 4*w**2 + 5*w - 4. Let t be u(3). Suppose t*h - h + 5 = 0. Let j(o) = 2*o + 7. Let z(m) = -2*m - 6. Give c*j(n) + h*z(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.931764 take away -936.7?\nAnswer: 937.631764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2 + 53*h - 312. Determine p(17).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -291, -0.1 in decreasing order.\nAnswer: 5, -0.1, -291","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zqpzqkkpkpxkkzkz. What is prob of sequence kx?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/737336 and -5\/43672.\nAnswer: 75945608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 - ((-6)\/(-8)*2*4\/(-3) + -6).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 25 + -39 - 7 - -29\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o - o**4 + 10 + 2*o**3 + 6*o - 11 + 4*o**4 to b*o**2 + s + q*o**4 + h*o**3 + v*o and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/1648, -1, -1\/2, -1671 in decreasing order.\nAnswer: 1\/1648, -1\/2, -1, -1671","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -141, -142, -143?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) -1\/72 (c) 0.3 (d) -5 (e) -4\/15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 30.66. Let y = f - 0.06. Let q = -0.3 - y. What is the nearest to q in 0, 3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-10))\/(1\/(-5)). Let x(l) = -2*l**2 - 83*l - 859. Let w be x(-21). Sort 119, w, o in ascending order.\nAnswer: o, w, 119","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/((l*l*l*l**(-3))\/l)*l**(-5) assuming l is positive.\nAnswer: l**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7072800 and 126000.\nAnswer: 106092000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 5*q**4\/24 + 10*q**3\/3 + 2*q**2. Let f be (-2 - -3) + 0 + -7. Let b(j) = -2*j - 7. Let c(r) = f*w(r) - 17*b(r). Give c(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (16 + (-113 - -101 - (-1 + 1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2, -391, -1490, -3649, -7222?\n\"Answer: -59*w**3 + w**2 + 17*w + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 376704 and 576?\nAnswer: 376704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38.2 and 1619.1?\nAnswer: -61849.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 - -54. Suppose -x = -5*f - g, -2*f + 9 = -5*f. Solve 0*d = d + 4, -m - x = 3*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44617347?\nAnswer: 3, 4957483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(405)*1 + -5)**2 - (sqrt(405)*-1 + -5)) - (-5 + (-1 + -2*sqrt(405) - (-2 + sqrt(405)*-2))**2)) + 1.\nAnswer: -81*sqrt(5) + 439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 13*f**2 - 11*f - 17. Let m be z(-13). Calculate the greatest common factor of m and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -11*u**3 + u**2 + 13*u + 6. Let v(f) = -12*f**3 + 11*f + 5. Calculate 5*g(n) - 6*v(n).\nAnswer: 17*n**3 + 5*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-68)\/10 - 2208\/368. What is the biggest value in r, -0.5, 4, 2\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 530 - 530 + 522*h**3.\nAnswer: 522*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5244 - 5246. Is 1\/195 equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (56 - -1) + 7 + -5. Suppose 6*r + 12 = r + 3*f, 0 = r - 3*f. Is (y - r)\/(1*2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x + 2. Let b(f) = -1. Let p(w) = 3*b(w) + i(w). Let c(g) = 2*g + 1. Let u(n) = c(n) - 2*p(n). Let d be u(-2). Put -2, 5, d in ascending order.\nAnswer: d, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 971593+277\nAnswer: 971870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + ((sqrt(5) - 2*sqrt(5))*3*-1 - ((-1*sqrt(225) + sqrt(225))\/sqrt(9) - sqrt(25) - sqrt(25))\/sqrt(5)))*-1 + 2)**2.\nAnswer: -60*sqrt(5) + 161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 130 - 126.28. Let o = 0.07156 - 3.96256. Let l = o + j. What is l rounded to two decimal places?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 45757792*a**2 - 35219205*a wrt a?\nAnswer: 91515584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 81630388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 6*j + 0*j + 10*j.\nAnswer: 4*j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.3, -5, 17\/23, 3, 5, 4, -4\/7.\nAnswer: -5, -4\/7, 17\/23, 3, 4, 5, 5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 9*k**2 + 5*k - 2. Let p(o) = 3*o**2 + 2*o - 1. What is 8*p(l) - 3*s(l)?\nAnswer: -3*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of -18*r + 0*r**2 + 1\/6*r**4 + 2 + 0*r**3. Let k(s) = -s. Calculate k(w(y)).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7002 + -6900. Calculate the least common multiple of n and 36.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 15*f**2 - 52*f - 24. Let b be k(7). Suppose 0*q + 0 + 0*q**2 + 1\/2*q**b + 0*q**3 = 0. What is q?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/1285 + 512\/1285. Let v = -75 + 77. Let q = -7 + 3. Put 0, f, q, v in increasing order.\nAnswer: q, 0, f, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/5, -56, 4, -4, -3, -0.25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that y**2\/3 - 7*y\/3 - 10 = 0.\nAnswer: -3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/4 (b) -3 (c) -0.88\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 - 82 = -3*v + s, 40 = -4*s for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9 - -89f8?\nAnswer: 8a01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kelelllnken?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**3 + 9*m + 7. Let x(y) = -3*y**3 + 4*y + 3. Suppose 4 = 2*g + 2*g. Let u be (-6)\/(g*2\/3). Let h(j) = u*x(j) + 4*c(j). Differentiate h(l) wrt l.\nAnswer: 9*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380432492 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zms when three letters picked without replacement from mmpmzzzspap?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 8*o**2 + 11*o - 13. Let p be x(9). Which is the third smallest value? (a) -0.3 (b) -2 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 21*g**2 - 23*g + 61. Let o be n(-13). What is the units digit of (0 + o\/5)*(-46 + 41)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2369.9 + -2370.2. Let u = -1.9 - -1.99. What is the second biggest value in l, -0.5, -3, u?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5 + 50*c**2 + 49*c**2 + 48*c**2 + 10*c + 50*c**2 - c**3 - 196*c**2. Give r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**2 - 7*g + 1. Let c be y(4). Suppose 4*p = -s + 143, 175 = c*p + 3*s + 2*s. Calculate the highest common divisor of 12 and p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ca2 (base 13) in base 3?\nAnswer: -2222000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45 - (2 + -1 + -25 + 35 + -19 + 2)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82.047 + -82. Let t = m - 0.147. Is t smaller than 84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*w + 3*w - w**2 + (-3 + 5 + 0)*(2*w**2 + w**2 - 4*w**2) + 16*w**2 + 21*w**2 - 71*w**2 as d*w**2 + s*w + n and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*u - 6 = -75*u - 3*b, 12 = 3*u - 3*b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + a**2 + 3. Let c be f(0). Let s be (0 - 1)*2\/2. Let j be (s - c)\/(15\/3). What is the third biggest value in j, 5\/3, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12213 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 274, 566, 938, 1372, 1850?\nAnswer: 2354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/1*4*(-9)\/12.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1358*q - 49 = -1351*q for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 43700*u**3 + 17219*u**2?\nAnswer: 262200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 137.9 - 130. Let k = j - -36.6. Let c = -45 + k. What is the fourth biggest value in -1\/5, 3\/5, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37482300 divided by 249882.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 55727*i - 1226084. Give y(22).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 5*j + 1642 = 0, -5*j - 1343 - 732 = -5*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -58.2. Let v be (-40888)\/(-43309) - ((-18)\/(-7))\/3. Let g = 116\/3 - 39. Which is the closest to g? (a) -2\/5 (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98 + -93. Which is the third smallest value? (a) 0.3 (b) 1\/10 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30848 and 46513.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f - 4. Let l(i) = -4. Give 4*c(q) - 4*l(q).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - 6*p**2 - 6*p. Let o(s) = -6*s**3 + 11*s**2 + 13*s + 2. Let j(q) = q**3 + q**2 - 1. Let g(z) = 2*j(z) + o(z). Determine 6*g(h) + 13*m(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k + k - 4*k)*(1 + 4*k**3 - 1).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26.33 - 0.67. Let c = 25.7 + h. Let v = c - -1.16. Round v to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, -0.209, 5, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000938897321 to 4 dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/6*6)\/((-288)\/(-16))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*y**2\/3 - 74*y\/3 + 92\/3.\nAnswer: 2*(y - 2)*(7*y - 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 21194.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - x + 3*x)*(2 + 1 - 4)*(-67*x**4 + 117*x**4 - 103*x**4).\nAnswer: 106*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 + -121031201?\nAnswer: -121031141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109266 (base 11) to base 15.\nAnswer: -36564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*k + 19*k + 35 = 0. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than -118.0500525244?\nAnswer: -118.1200525244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 9*w**2 - 3*w - 12. Let d be i(10). Let z = 130 - d. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from {d: 2, h: 13, x: 1, y: 1, v: 1, r: 2}.\nAnswer: 13\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 61. Let s(r) = 2*r**2 + 4*r + 4. What is the remainder when c is divided by s(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pj when two letters picked without replacement from {j: 15, p: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 107.\nAnswer: 1\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(1*sqrt(76) + 3) - (-2 + sqrt(76)*-2 + sqrt(76) + 2*sqrt(76)*-4))*4)**2.\nAnswer: 11648*sqrt(19) + 208640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -38 and -5.067.\nAnswer: -43.067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f - 5. Let j(b) = 76 - 142 + 68. What is 5*j(u) + 2*p(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(125) + sqrt(500)*-2 - -2*2*sqrt(45)*-4.\nAnswer: -63*sqrt(5) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 16 - -5199?\nAnswer: 5204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1053176 to three dps.\nAnswer: -0.105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (27\/(-12))\/(10551\/1056 - 10). Calculate the greatest common divisor of 99 and u.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 8) in base 13?\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**5*l + 17*b**4*l - 6*b**3 + 7*b**2*l - 6*b**2 - b*l wrt b.\nAnswer: 180*b**2*l + 408*b*l - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.023 + -0.023. Let h = -8 + 5. Which is the closest to w? (a) -5\/4 (b) 0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1519967 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*a - 75 = 0, 5*a - 38 - 4 = -f. Suppose 1 = -c + 4*m, 77 = -24*c + f*c + 4*m. Calculate the remainder when 132 is divided by c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((28\/6)\/7)\/(48\/(-126))\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 2 + w**2 - 4*w + 0*w**2 + 6*w - 3*w. Let d be (-4)\/(-8) + 9\/6. Determine n(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(28) + sqrt(28) + (2*sqrt(28) - sqrt(28)) + -5)**2.\nAnswer: -300*sqrt(7) + 1385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -78*r**3 + 5 + r**2 + 6*r**4 + 38*r**3 + 41*r**3 - 2 as g*r + z*r**2 + t*r**4 + h + c*r**3 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 15 = -2*f, -8*x + 5*x + 6 = 5*f. Let i(p) be the second derivative of 0 - 1\/60*p**5 - 7\/18*p**f - 5\/36*p**4 + 11*p - 1\/2*p**2. Factor i(v).\nAnswer: -(v + 1)**2*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -351 - -727. Is z a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47244547?\nAnswer: 7, 17, 397013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.68, 6, -9 in ascending order.\nAnswer: -9, 0.5, 0.68, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + -553771?\nAnswer: -553747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -122 + 122. What is the nearest to -0.17 in 0.5, b, 0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1736a3 (base 12) to base 8.\nAnswer: -1415433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 2*x = -0*v + 2, 3*v + 14 = -5*x. Suppose -3*b = 3, 2*a + a = -5*b - v. Solve -g + a = 0, 0*g = 3*p + g - 4 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 348373.7 + -334189. What is n rounded to the nearest one hundred?\nAnswer: 14200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27881867 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*q - 0*q. Suppose -o + 3*o - 2*y = 12, 0 = 2*o - y - 9. Suppose 4*z = o*s + 18, 3*z - q*s = z + 10. Solve a = -z*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d + d = 42. Suppose -d*c + 63 = -72. What is the greatest common factor of 180 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -2*a**2\/9 + 14*a\/9 + 4 = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145294 is divided by 547.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 352*q + 11*q**2 + 17 - 340*q - 13*q**2. Calculate n(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 210950?\nAnswer: 421900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(33)\/(-2*sqrt(99)).\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15.2 in 0.1, -1\/10, 0.83, 2\/11, 3\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, m: 5, o: 1}. Give prob of sequence to.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 + 84\/20 + (-9)\/(-5). Let z = -1403 + 68744\/49. Let h = 11\/49 - z. What is the closest to h in b, -2\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21205, -21022, -20839, -20656, -20473?\nAnswer: -20290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 2*s + 3. Let m be j(3). Suppose -5*q + m*q = 9. What is the remainder when 25 is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195392209 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.7846772nm?\nAnswer: 0.0000007846772","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83.79 + -0.21. Let l = o + 102. Sort 0, 2\/9, -1, l.\nAnswer: -1, 0, 2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4, -3, -2.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -90 + 225. Suppose 156 = 7*g + x. Solve -2*n + 3*k = n + g, -2*n - 6 = -k for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1577464 is divided by 788525?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16975086 is divided by 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -94 + 149. Let x be ((-95)\/q + 1)\/(4\/6). Is 1 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 3*o - 20. Let p be q(8). Let x be (p - 0 - -1) + -3. What is the third derivative of -16*d**5 + 6 + 11*d**5 - 6 + 2*d**x wrt d?\nAnswer: -300*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -10 + 3 + -5 + 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/24 and (-13)\/(-1188) + 51\/561.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9841 + 27812?\nAnswer: 18a81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - ((-3010)\/230 - -1)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 7024 - 413 = 0. Let o(h) = -q + 2479 - 16*h. Let l(c) = -2*c. Determine l(o(d)).\nAnswer: 32*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/10)\/((-24)\/80)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -219005*m - 5. Let q be c(-1). What is q rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -508 not equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24126 is divided by 5901?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sum -132.5 and 2394.\nAnswer: 2261.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 2. Let n = -239 - -242. Give a(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6136 and 177.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 9727389 divided by 18319\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 7710 = u, -11475 + 1195 = -4*r - 3*u. What is r rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 7*(-30)\/(-35). Suppose w = p - 8. What is the remainder when 232 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147752 by 3.\nAnswer: 147752\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2345 or 1606989\/685?\nAnswer: 2345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -67071*v**3 + 948*v**2 - 1422*v + 948. Let h(p) = -706*p**3 + 10*p**2 - 15*p + 10. Calculate -5*d(o) + 474*h(o).\nAnswer: 711*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 + 16*q**2 + q + 5. Determine w(16).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23672 - 0?\nAnswer: 23672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 577*j**5 + 592*j**4 - 86*j**3 + 6195*j**2 - 222 wrt j?\nAnswer: 34620*j**2 + 14208*j - 516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 80922141?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 19438 - 0.5\nAnswer: 19437.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1173990 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -51 - (4 + 33) - -52\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 6. Let q(l) be the third derivative of -1\/12*l**4 - 1\/3*l**3 + 13*l**2 + 0*l + 0. What is q(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 243 + -67512.\nAnswer: -67269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 3*p - p. Let d(j) = 5*j**2. Determine d(n(a)).\nAnswer: 45*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:01 AM and 7:56 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, j: 3, f: 1, a: 12, l: 2}. What is prob of sequence flai?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rgrrrrargrra.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 12*y - 17. Let c(m) = -m**2 - m + 11. Suppose -7*w + 2 = 37. Let a be c(w). What is the remainder when 48 is divided by i(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaupaaaca. What is prob of picking 1 p and 1 u?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 10*k**3 - 7*k**2 - 7*k - 7. Let i(r) = -7*r**3 + 5*r**2 + 5*r + 5. Let f(y) = -7*i(y) - 5*n(y). Let a be f(0). Solve a = 5*x - x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.76721 + 55.76807. Let l = 54 - k. Round l to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 5:05 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -681*(-4 - (-35)\/15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1377268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + 6*(-5 + 2*(3 + (-1*sqrt(891) - sqrt(891) - sqrt(891))*5 + sqrt(891))))*4)**2.\nAnswer: -374976*sqrt(11) + 402362305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 282 divided by -3?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = 7*c - 358 + 302 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-168)*-35)\/((-2)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 26*u + 165. Calculate the remainder when 43 is divided by s(16).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 0) + 34 - (-14 + -690*54\/(-1620)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -251 + 301. Let u be 2*z\/(-110) + (-48)\/(-22). Solve 2*g = -u*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1921728 rounded to the nearest one thousand?\nAnswer: 1922000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 412.7 - 416.7. Which is the second smallest value? (a) -1\/63 (b) m (c) 2 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dssddsdddlllsdl. What is prob of picking 3 s?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + l = 2*l - 3, 0 = l - 3. Suppose 0*v - 4*v - 2*d + 32 = p, 2 = -3*v + 5*d. Let s(n) = -n**2 + 4*n + 7. Calculate s(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -g**3 + 2 - 18*g - 2495023*g**4 - g**2 - 2*g + 2495021*g**4 to the form f*g**2 + t + d*g**4 + q*g**3 + b*g and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 88.16641911 rounded to 1 dp?\nAnswer: 88.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1026 or -359?\nAnswer: -359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 134900734 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 20*f - 50. Let n be q(-17). Let r be 5 - (1 - -2 - (2 - n)). Suppose 2*b - 5 = -3*d, 4*d + 5*b = b + 4. Solve 0 = -d*s + 2*s + r for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 66 = -4*d, -d + 69 = -3*o - 5*d. Let t(b) = -2*b - 6. Let s be t(-4). What is the remainder when 5 is divided by o\/(-12) - s\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4073*z = 4071*z + 900. What is the least common multiple of z and 1350?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/31203 and 7\/31212?\nAnswer: 108212004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-22)\/4) + (-546)\/(-143). Let j be 166\/(-6) + 2\/3. Find the common denominator of w\/((j\/(-24))\/3) and 48\/11.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 27 - (-20 + 10 + -1)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16.5 + 15.952. Let u = t - 0.044. Let m = 0.6 + u. Round m to three decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -24?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467929 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 8\/3 of a day?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 77*x - 610. Give q(39).\nAnswer: -571","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 102 + -27. Is y a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 45 = -26*h. Let m(l) be the first derivative of 3 - 1\/3*l**3 - l + l**h. Let m(j) = 0. What is j?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/72 of a week in seconds?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*a**4 + 7186*a**3 + 10090*a**2?\nAnswer: 48*a + 43116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tssj when four letters picked without replacement from jjtsjsfffsswwfttw?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 30385*k - 30385*k - 2*k**2. Let h(q) = 6*q**2. Let i(g) = 5*b(g) + 2*h(g). Let s(o) = -2*o. Give i(s(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (216\/10)\/(-6)*(-3)\/(-30). Let a = v - -143\/50. Factor 9\/2 - 1\/2*x**3 - a*x**2 - 3\/2*x.\nAnswer: -(x - 1)*(x + 3)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 220784?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -212 + -222?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (2 + 2 - 4). Suppose -o*g + 2*g = -l - 9, 5*l = 0. Let w be -6*4\/(-18)*g\/6. Which is the biggest value? (a) 1\/4 (b) -0.1 (c) -3\/4 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 2 = -2*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 8?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -34002261189 take away 0.112?\nAnswer: -34002261189.112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 4)*(2*h - 3*h + 0*h - 2*h + 0*h + h + (-5*h + 5*h - h)*(-3 + 0 + 4) + 2*h + 1 - 1 + 4*h - 4*h + 2*h - 79*h - 11 + 11 - 237*h).\nAnswer: 1890*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d + 7. Let q be a(-3). Suppose q*u = -u. Let w be (-6)\/((51\/(-6) - -4) + 3). Solve u = -5*v - 11 - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccpccpcpccccpppcpppp. Give prob of picking 2 p.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 - m - 1. Let o be f(0). Let d(j) = j**3 - 7*j**2 - 15*j + 19. Let x be d(9). Let r be (-1)\/(-2) + x\/(-68). Which is greater: r or o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(5) + -1*sqrt(5) + 1*sqrt(80) + 2 - -5*6*(1 + sqrt(605) + 3))**2.\nAnswer: 81496*sqrt(5) + 572664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 17.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -412 - 3617.\nAnswer: -4029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/66*12\/8.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3\/9 + 4780*o**2\/9 + 12277*o - 12808 = 0?\nAnswer: -24, 1, 4803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is (20\/12)\/((-15675)\/1710)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 178 - 176. Let a be ((-9)\/6 + h)*8. Let i(n) = n**2 + n - 1. Let g be i(-3). Let d(k) = -5*k - 2. Let z(q) = 6*q + 2. Determine a*z(v) + g*d(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 39 - 27. Let h(r) = -r + 32. Let s be h(m). Suppose -5*p + 80 = 5*g, -g + s = -6*g. Solve -d = -u + 2*d - p, u = -d for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2778, -11051, -24824, -44097, -68870, -99143, -134916?\n\"Answer: -2750*l**2 - 23*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*r - 13*r - 10*r + 1 - 7*r + 19*r.\nAnswer: 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 2*i = 13. Let t = i - 9. Solve 0 = h + t*x - 3, -x + 2 = 4*h - 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q - 20 = -r - 10*q, -4*r = -4*q - 40. Put -2, -1, r, 15 in decreasing order.\nAnswer: 15, r, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 15 (b) -5 (c) 5\/2 (d) -121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2952184 is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 6*p**2 + p + 6. Let n be r(3). Let g(a) = a**2 - 7*a - 10. Let x be g(n). Solve -4*u + x*u + 8 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven thirds of a millennium?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 90 (b) 0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 34*c**2 + 9*c + 7. Suppose -5*l + 10 = -5*a, 0 = -2*a - 2*a - 2*l - 38. What are the prime factors of o(a)?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-12))\/(14\/(-28))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 725094343 to the power of 1\/3, to the nearest integer?\nAnswer: 898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 250\/(-4) - (6\/20)\/((-153)\/(-765)). What is the second biggest value in -4, -3, -2.7, c?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = p. Let t(j) be the first derivative of 4*j + 6 + 4*j**p - 5 - 2*j. Differentiate t(y) with respect to y.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 189.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 5*w - 3*x + 1632, -5*w - 4*x = -2717. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w. Suppose -j + 3 = -1. Let s(h) = h - j*h + h. Determine v(s(g)).\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83820 is divided by 83394?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 7 = 3*q - 15, 5*q = 4*i + 33 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 35*m + 26*m - 5040 = 0. Let x(f) = 5*f + 26. Let n be x(6). What is the highest common factor of m and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 12*g**2 - 3*g**3 - 6 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1161508 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51 + -46. What is the highest common factor of u and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 366*q + 0 - 12 - 354*q.\nAnswer: 12*q - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 59, 64, 69?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 = 4*y + 5*p, -2*p - 3*p - 145 = 5*y. Let z = -34 - y. Solve z*d - 3*d = -5*a - 12, 5*a = -15 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2812122 by 3.\nAnswer: -937374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -4*v + 14, -2*a + 6 + 7 = 5*v. Suppose 0 = -v*h + h + 226. Let k = h + -58. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 272.7448 nanometers?\nAnswer: 0.00002727448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67562, 269862, 607020, 1079030, 1685886, 2427582, 3304112, 4315470?\nAnswer: 5461650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 3*o - 23. Give p(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67 * -0.1.\nAnswer: -6.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*g**2 - 2*g**2 + 4*g**2)*(-3 + 2 + 0) + (106*g - 106*g - 131*g**2)*(2 - 4 - 2) in the form a*g**2 + d*g + h and give a.\nAnswer: 522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wdd when three letters picked without replacement from {m: 2, i: 1, u: 3, w: 1, d: 5}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -1*sqrt(704))*3 + -4 + ((-2 + sqrt(704) + sqrt(704))*3)**2.\nAnswer: -600*sqrt(11) + 25367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -e + 7e?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -6*h - s + 103, -91 = -4*h + 3*s. Suppose 0 = 6*z - 11*z + h. What is the lowest common multiple of 14 and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04070728461 rounded to 4 dps?\nAnswer: -0.0407","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 5, -31, 2\/15?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - 2592\/(-8) - -2. What is the highest common factor of v and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 4\/13 (b) -12 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -114, -1\/2, -1\/3, 8, -3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*t - 25*t = -1352. Is 26 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -289*s + 291*s + 16 = 0 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-6*-2*sqrt(14))\/((sqrt(28)\/sqrt(4) + sqrt(7))*6) + (4*(sqrt(2) + 1) - (sqrt(2) - (-2 + sqrt(128))))**2).\nAnswer: -246 - 45*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 14) to base 13\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 662235 or 662232?\nAnswer: 662235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 8) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of r**3\/6 - 18*r. Let l(y) = 0*y - 4*y + 2*y. Give l(c(x)).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3505 + 175 = -6*y. Suppose 5*i = 3*v + 330 + 603, 0 = -3*i - 3*v + y. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1000212021 - 2220?\nAnswer: 1000202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*d + 70*d + 47*d)*(-4*d + 4*d - 2*d) + 4*d**2 - 3*d**2 + d**2.\nAnswer: -128*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/2703 and -67\/171932.\nAnswer: 8768532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpphg. What is prob of picking 2 p, 1 h, and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + 4 + (0 + sqrt(931) + 0)**2).\nAnswer: -5628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 850083 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 != -1\/6978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 + 8 = 0. Suppose -2*p + u*p = -3*m + 100, -2*m - 2*p + 60 = 0. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75968.\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -206864\/81645 - -2\/5443. Let l = 328\/15 + a. Let z = l - 8. What is the common denominator of -31\/11 and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 5009, 19968, 44877, 79736, 124545, 179304, 244013?\n\"Answer: 4975*n**2 + 34*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58589 - 117177 + 31*r**2 + 58588.\nAnswer: 31*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 732307 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 721\/(-412)*(-1)\/((-7)\/(-87)). What is the second smallest value in 2, u, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4971877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3455, 4344, 5237, 6134?\n\"Answer: 2*c**2 + 883*c + 2570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 - -25. Suppose s*q - 146 + 34 = 0. Let z = q - 32. Which is the closest to 0.3? (a) z (b) 2\/7 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -773 - -1394. List the prime factors of x.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 + 9*z + 4. Let q be t(-3). Let w(s) = s**2 - 3*s + 2. Let a(i) = -2*i**2 + 5*i - 4. Determine q*w(k) - 3*a(k).\nAnswer: k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-293293)\/13478 - 344\/(-16)?\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -o - 2*o + 36, -3*n - o - 30 = 0. Let k be (-3)\/(n\/12) - 0. Suppose k*b + 3*i - 33 = 0, -4*i - 4 - 4 = b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/7 + 2259807*z**2 - 15818652*z\/7.\nAnswer: 3*z*(z - 1)*(z + 5272884)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20387.\nAnswer: 19, 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -78, -79, -80?\n\"Answer: -i - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + 101010001?\nAnswer: 101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*v + 5*v - 13*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.5 - 4. Let q = -5\/13 + -11\/39. Put q, -1, g, 0 in decreasing order.\nAnswer: 0, g, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**6*(m\/(m*m**(-4)*m))\/m*((((m*(m*m\/(m\/m**(-2\/13)))\/m)\/m*m)\/m)\/m*m)\/m*(m*m**(2\/5)*m*m)\/m)\/((m\/m**1)**(-13\/6))**(-11\/6) assuming m is positive.\nAnswer: m**(666\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 14*v + 7. Suppose c - 10 = -w, -c = 2*c - 5*w + 10. Let o be g(c). What is the units digit of (-86)\/(-11) - (-14)\/o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3*(-3)\/(27\/(-6)). Let m(j) = -3 + 5*j**2 - 12*j - j**3 - v + 12*j. Let g be ((13 - 6) + -8)\/(2\/(-8)). Determine m(g).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**2 + 2*a**2 - a**2 + 4*a**2. Let s(o) = -157*o + 2. Let w(b) = 12558*b - 161. Let p(m) = 161*s(m) + 2*w(m). Determine l(p(z)).\nAnswer: 77763*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 734, 806, 878, 950?\n\"Answer: 72*n + 662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 9*h**2 + 4*h - 4. Let g(j) = -75*j**2 - 33*j + 33. Let u(c) = -4*g(c) - 33*t(c). Let o(n) = -n**2 - 7*n. What is u(o(f))?\nAnswer: 3*f**4 + 42*f**3 + 147*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2685 + -37701\/14. What is the common denominator of 1 - (-173)\/6 - 6\/(-9) and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/sqrt(6)*3)\/(sqrt(363)*3))**2.\nAnswer: 7\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.1982813 to four decimal places.\nAnswer: 1.1983","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n + 1. Let h be l(1). Solve 0 = 5*u - h*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i + 3*i = 1620. Let d be (-2 - 156\/i)\/((-2)\/(-5)). Which is smaller: 1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.9220494 - -0.04801.\nAnswer: -1.8740394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 258 + -106. Let k be (-2 - c\/(-36)) + -2. Is -1 >= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide -3 + 204891\/33 + -10 + (-784)\/(-77)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*h**3 + 2281*h - 1133*h - 38*h**3 - 1148*h.\nAnswer: -76*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -12 + -4 + 9 - (55 + -58)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -22*r**2 + 112*r - 597. What is u(5)?\nAnswer: -587","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6952 and 2904?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*b - 65 = -10*b + 31*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**3 - 31*g**2 - 25*g - 8. Let s be b(32). Let q be (-1 - -10)*(-8)\/s*-12. Solve -q*x - 4 + 0 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b - 3*j + 5*j - 200, 1028 = 5*b - 4*j. Let h = b + 49. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 9*j - 3. Let p be q(5). Let i(t) = -3*t - 121. Let l be i(-49). Suppose l*u - 30*u = -172. Are u and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**3 + 6*v**2 - v - 7. Let j be i(-6). Let g = j - -1. Let q be 9*(-2)\/(-12) - 9\/6. Is q smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 437 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + (0\/(-7) - 1). Solve -2*d = -d - r*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 15*c**4 + 23*c**3 + 7*c**2 - 30*c - 22. Let w(k) = -5*k**4 - 8*k**3 - 2*k**2 + 10*k + 7. Let o(i) = 2*g(i) + 7*w(i). Factor o(t).\nAnswer: -5*(t - 1)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -313 and 1.3.\nAnswer: -311.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:35 AM and 4:24 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0*n)\/(n*n**0)*(n*(n\/(n\/(n\/((n\/(n*n*n**2))\/n))))\/n)**(5\/6) assuming n is positive.\nAnswer: n**(25\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*4\/10)\/(4\/4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(10\/(-4) - -4). Let i be 5\/z*(4 - -218). Let p = i - 356. What are the prime factors of p?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/722022 and -113\/1554?\nAnswer: 26714814","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, 1 f, and 1 e when four letters picked without replacement from tvfep?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, h: 8, l: 10}. What is prob of picking 4 h?\nAnswer: 35\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ononnonnno. What is prob of picking 3 n?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 209693 + 3?\nAnswer: 209696","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - 85801145\nAnswer: -85801144.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219*i + 206*i + 230009 = 0. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-244)\/(-35) + ((-92053)\/(-2555) - 36)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -194*y - 128. Let b(j) = -49*j - 32. Let c(i) = -9*b(i) + 2*o(i). Let z(f) = 54*f + 28. Let n(t) = -3*c(t) + 4*z(t). Differentiate n(r) wrt r.\nAnswer: 57","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-9 + 9) - 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 67*q**2 + 4 - 8 + 6*q - 68*q**2 - 2. Calculate v(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-2) - 3153\/6. Let s be (-236620)\/y*(-9)\/(-6). Let k = s + -676. Is k > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68671.1 + -645502\nAnswer: -576830.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**2. Let h(l) = 13*l + 12. Let t(u) = 26*u + 22. Let q(b) = -11*h(b) + 6*t(b). What is i(q(f))?\nAnswer: 845*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -674 + 1667. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 - 17*d**2 + 33*d + 8. Give k(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5 - 26*h**4 - 58*h**3 - 30*h**2 = 0. What is h?\nAnswer: -1, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-92 + 199 + 24)*(0 + 0 - 2*p) as d*p + r and give d.\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*b**5 - 211*b**4 + 184*b**3.\nAnswer: b**3*(b - 1)*(27*b - 184)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*o + 4 + (1 - 3 + 0)*(0 + 0 - 2*o) - 5*o + 4*o + 8*o)*(2*o**3 - 3*o**3 + 0*o**3).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24 + 26 - (-1 - 2)) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 2*m**2 + 2*m + 2. Give t(4).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7557.755 litres?\nAnswer: 7557755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 321.420576418.\nAnswer: 321.620576418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 12, -12, -4\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 9*o - 12 = 0. Solve -2*u + 3 = -o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eehf when four letters picked without replacement from {e: 11, h: 3, f: 4}.\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4596, 19859, 45790, 82389?\n\"Answer: 5334*o**2 - 739*o + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.245 + -0.255. Sort -2, 0, b, -3 in decreasing order.\nAnswer: 0, b, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 0 = 33. Let q(v) = 3*v**2 - 2*v - 1. Let o(h) = 4*h**2 - 3*h. What is a*q(c) - 2*o(c)?\nAnswer: c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1.04, 36 in descending order.\nAnswer: 36, -1.04, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -610, -2426, -5408, -9520, -14726?\n\"Answer: 6*n**3 - 619*n**2 - n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1)*5 + -1*(sqrt(432) + 1) + sqrt(432) + -4.\nAnswer: -10 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2*i - i**2 + 3*i + 2*i**3 - i - 2*i. What is the units digit of q(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*s - 6. Let d be -2 + ((-54)\/(-8) - s\/(-4)). Suppose 2*m = d*x - 0*x - 23, -4*x + 8 = m. Solve -x*a + 2*g = -5*a + 2, -2*a = 4*g + 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18765088?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (35\/210)\/(((-15)\/(-560))\/(108\/624)).\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 4*b - 18, 2*a - 7 = -9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2781\/64375*25*(1\/1 - 6).\nAnswer: -27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3112631518 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1695820439?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -1088*s + 48954. Calculate d(45).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 389613 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -333054334 (base 6) to base 5\nAnswer: -3020313343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8101 (base 16) to base 8\nAnswer: -100401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 87*a**3*u - 6*a**3 - a**2*u - 2001*a**2 + 146*a*u + 3*a - 3*u wrt u?\nAnswer: 87*a**3 - a**2 + 146*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m**3 - 2*m)*(-3 + 3 - 4) + (-m + 4*m - m)*(5*m**2 - m**2 + 0*m**2).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1012439, 1012402, 1012365, 1012328, 1012291, 1012254?\n\"Answer: -37*q + 1012476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -295 - -209. Let l = -105.2 - v. Let n = 19.19907 + l. What is n rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7844833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29448\/(-1227) + 3684\/150.\nAnswer: 14\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47819083?\nAnswer: 13, 3678391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-651644.\nAnswer: -651644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-2 - 0) - 2. Solve 0*d = -d + v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 + -1151\/9. Find the common denominator of z and -43\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 f, and 1 m when four letters picked without replacement from ffmmkzzfkffmfmkzzf.\nAnswer: 14\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 268*t - 32715. Determine b(121).\nAnswer: -287","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 479806207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -366640*b**2*i - 2*b**2 + 7*b*i - b + 504516*i + 3 with respect to b.\nAnswer: -733280*b*i - 4*b + 7*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22532552 is divided by 770?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the second derivative of 9*s**4\/2 - 5*s**3\/3 - 5*s**2\/2 + 6*s - 3. What are the prime factors of v(-2)?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-3 + (sqrt(243) + 0 - sqrt(243)) + sqrt(243))*4 + 4)**2.\nAnswer: -216*sqrt(3) + 3897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 545475097 to the power of 1\/2, to the nearest integer?\nAnswer: 23355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(80) + 3)*2.\nAnswer: 6 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.065 - 0.89. Let o = v - 0.675. What is the closest to 1 in 2, -0.2, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -146*a + 147*a - 192. Find s such that 0*s**3 - 9*s + 15*s**2 - 219 + a - 3*s**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-56)\/4*-10*13\/(-650)?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 356 divided by -4\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -12. Let f be (l\/2)\/(-7 + 1). Suppose -3*q + 2*q = -4*i + 16, 5*q + 4*i = 16. Which is bigger: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + o + 1. Let r(s) = -s**2 + 2*s + 3. Let y = -20 - -26. Suppose y*q - 7 + 1 = 0. Determine q*r(m) - 2*d(m).\nAnswer: -3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 - 7*l + 2. Let p be q(-7). Let h(z) be the second derivative of -z**p - 1\/4*z**4 - 2*z + 0*z**3 + 0. Differentiate h(d) with respect to d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-93)\/(-21) + 1*3\/(-7). Let y(s) = -16*s**2 - 11. Let u(o) = -o**2 - o. Let i(z) = -3*z + 2. Let d(c) = i(c) - 3*u(c). Give v*y(t) + 22*d(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-12 - -3 - (-2 - 19))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2378967*i**4 - 2*i**2 + 1815*i - 12 wrt i?\nAnswer: 57095208*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.13 (b) 72\/7 (c) -1178 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o + 9*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r - 8 = 19*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13 - 9) + 16\/9 + 12\/(-2). What is the second biggest value in m, -1, 1\/3, -0.16, 0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 154*v - 219. Let r(z) = 25*z - 36. Let t(o) = -6*g(o) + 37*r(o). Determine t(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/2 + 11*h**2 + h\/2 - 11.\nAnswer: -(h - 22)*(h - 1)*(h + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (-1 - (20 - -1 - (16 + -8)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1\/31)*l*l**(-38))\/(l**13*l)**(-2\/23) assuming l is positive.\nAnswer: l**(-24823\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/10))**(-8) assuming a is positive.\nAnswer: a**(-12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/965250 and 131\/4401540.\nAnswer: 110038500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 55 = -45. Suppose -8*q + 3*q + 4*c = i, 0 = 5*q + 3*c + 25. Suppose p + p = 0. Sort p, -1, q in increasing order.\nAnswer: q, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/8)\/v)\/v*v**(-8)\/v)\/(v**(-9)\/v*(v*v**(28\/5))\/v) assuming v is positive.\nAnswer: v**(-269\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2012243 (base 11) to base 6\nAnswer: -204152442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jkk when three letters picked without replacement from jmkmmmjjmmjmjkjjkj?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1583 + 1583.0003638. What is w rounded to five decimal places?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.323 - 0.107. Let w = 0.03 + z. What is the third smallest value in w, -4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 307669 smaller than 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 3 + (sqrt(48) - 2*sqrt(48)) + sqrt(3))**2 + (sqrt(15) + sqrt(15)*-2*-1)\/(sqrt(125)*2).\nAnswer: 63*sqrt(3)\/10 + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 943922465, 943922466, 943922467?\nAnswer: 943922468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 1:45 AM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 26*p**2 - 23*p - 16. List the prime factors of d(19).\nAnswer: 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -0.01, 0.4464, -4, 29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -16\/15, -0.6 in decreasing order.\nAnswer: 2, -0.6, -16\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(468) - (sqrt(468) - (-1*sqrt(468) - sqrt(468)))*-3)**2 + ((4*sqrt(1872)*2 - sqrt(1872))*5*4)**2.\nAnswer: 36897588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 22\/4*(4 + 4). Suppose 0 = s - 5*s + u. Calculate the remainder when 20 is divided by s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 2*k**2 + k - 1. Calculate h(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 43 - (1 - ((8 - 4) + 4) - -6).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + t + 148. Let b = 506 - 347. Let v = b - 99. Calculate the remainder when v is divided by u(12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 5*d - 4. Let k be g(-4). Let m = 0 - k. Let x = 7101 + -418957\/59. Is x bigger than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21d31 + -2328?\nAnswer: -24259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1306790, -1306668, -1306546, -1306424?\nAnswer: -1306302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = 10*j + 5*p - 1872, -5*p - 2758 = -3*j. List the prime factors of j.\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4783309\/80 + 59790. Let k = -4865549\/6346290 + 2\/211543. Find the common denominator of k and i.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200 a factor of 673800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -46 divided by -49464\nAnswer: 23\/24732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 225241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64028 is divided by 19864?\nAnswer: 4436","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 253 + -4?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s + s)*(2 - 3 + 2)*(0 + 4 - 3)*(6 - 3 - 1).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 166 = -7609. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*d + 51*d + 60 = 0. Let s = -218 + 221. Solve -s*w + 3 + 14 = 2*h, 3*h - 3*w = -d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**3 - 25*x**2 - 3*x + 3. Let b(a) = -7*a**3 + 51*a**2 + 5*a - 5. Give -3*b(s) - 5*q(s).\nAnswer: s**3 - 28*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -260 - -257. Let r(g) be the second derivative of 0 + 0*g**2 + 1\/2*g**3 + 1\/12*g**4 + 2*g. What is r(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90\/(-9)*((-3)\/(-3))\/(-1)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12432 (base 7) to base 11\nAnswer: -2536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 213202232201 (base 4) to base 12.\nAnswer: 357a915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3469 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 - 74.7. Let w = -73.9 - j. Which is the nearest to -1.5? (a) w (b) -1\/4 (c) 5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a + 12*a**2 + 0*a - 3*a + 1 + 24*a**2. Is i(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, -5, -33, 3, 5 in descending order.\nAnswer: 48, 5, 3, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36557?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1476 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43643084*0.4.\nAnswer: -17457233.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 43 = -15*d + 269. Calculate the smallest common multiple of d and (-2)\/4 + (-242)\/(-4).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(3\/7)))\/(x**1*x))\/((x*x\/((x*(((x*x**(-1\/3))\/x)\/x)\/x)\/x))\/(x**(-5)*x)))\/((x**(-1))**(2\/3)*x**(-2\/11)*x*x**(-2\/13)) assuming x is positive.\nAnswer: x**(-32311\/3003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.036 in 38\/5, 2\/3, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by 4\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 10) + -21 + -7 + 10\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1518866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 10:49 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 1 (c) 0.2 (d) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 789 + -3?\nAnswer: 786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 260215464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45338.\nAnswer: 2, 22669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 i when two letters picked without replacement from {i: 3, f: 7}?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1331000 rounded to the nearest one hundred thousand?\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 33, 0, 4 in increasing order.\nAnswer: 0, 3, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + 10*z - 11. Let u be w(9). Suppose 0 = -5*p + 10, 4*g - p = -5*p. Let k = -7 - g. Sort k, u, -3 in descending order.\nAnswer: u, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 446, 605, 764?\nAnswer: 923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k + 11*k = -4*c + 42, 984 - 984 = -4*c + 2*k for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -19, 5, -3, 3\/7, 3\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.032733 and -1.\nAnswer: -0.032733","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.9 - 4.3. Let z = v - -2. Let k = 3 - 0. What is the nearest to 1 in 0, k, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*w + 1137 = -z, -4*w = -2*z - 2314. Let s be -1 - (31819\/z + 2). Let j = s + -10\/383. Calculate the common denominator of 145\/6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -10, -1\/7, -0.2, -6 in decreasing order.\nAnswer: 5, -1\/7, -0.2, -6, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1872, 14712, 49568, 117450, 229368, 396332, 629352?\nAnswer: 939438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*j = -44*j. Suppose 8*n + 2*c = 9*n - 1703, j = 4*n - 4*c - 6824. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes after 10:26 AM?\nAnswer: 4:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(16\/(-12))*2. Suppose -3*d + 21 = k. Solve -2*p + 3*h + 1 = 0, 3*p + 12 + d = -2*h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -408\/1075 + 6\/43. Sort 1\/3, -5, n.\nAnswer: -5, n, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2)*i**(2\/15)\/i)\/(i\/(i\/(i**(-2\/5)\/i*i)*i*i))**(-31) assuming i is positive.\nAnswer: i**(-1159\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttw. What is prob of sequence wt?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kssvqqwsqzsskk. What is prob of sequence zv?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b - 2*b - b**4 + 2*b**4 + 4*b**4 - 4*b**4 + 5*b**4 - 2*b**4 - 4*b**4 + (2*b**4 - b + b)*(4 + 0 - 2) - 89*b**4 - 43*b**4 - 245*b**4.\nAnswer: -373*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -407866\/285 + 2132\/95. Let b = x - -25211\/18. What is the common denominator of b and 4\/33?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 12\/21 - (-157)\/56 and 68\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d. Let m be 1 + 3\/((-9)\/(-6)). Let n be z(m). Suppose 5 + 4 = 3*p + k, 5 = p + k. Solve -n*t + p*t - 2 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 24793\/9 - (-3)\/(54\/4). Suppose -k = -c + 2052. Let f = 2597 - c. Round f to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -278 + 584. Let s = 198 - r. Let n = -108.1 - s. Which is the closest to n? (a) 0.4 (b) 1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -434 - 7 - 18\/3. Let j = -416 - m. Solve 16 = j*r - 27*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5 = 24*d - 25*d, 5 = 2*d + 5*t. Let z(n) be the first derivative of 1\/3*n**3 + 0*n - 13 + d*n**2. Let o(w) = -3*w. What is z(o(y))?\nAnswer: 9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/5 - 316*z + 3168\/5.\nAnswer: -2*(z - 2)*(z + 792)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*a = 171 + 386 - 59 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 105246 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 289778?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2751*f*o*q*z**2 + f*o*q*z - 81*f*o*q - 2*f*o*z - 89*f*o - 1685*f*z**2 wrt q?\nAnswer: 2751*f*o*z**2 + f*o*z - 81*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*z + d - 436 = 158*z, 0 = z - 2*d - 208. Calculate the greatest common divisor of z and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -446.08 + -25.32. What is o rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = 4*z + 170 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h - 13. Let k be q(10). Let p be (-4)\/1 - k\/(-2). Is 9 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -588477, -588478, -588479, -588480, -588481?\n\"Answer: -l - 588476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 18 or -9791?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10120.9999994103 - -10121. Round w to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 44 (c) -1.61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 36442?\nAnswer: -36436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**2 - 9*d - 9. Let r(l) = 2*l**2 - 2*l - 2. Let w(h) = 4*a(h) - 18*r(h). Let x(u) be the second derivative of -u**4\/6 - 2*u - 77. What is x(w(q))?\nAnswer: -128*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((80\/(-6))\/(-8))\/(185\/888)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 215.879 - 216. Let j = v + 0.1261. What is j rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*a**3\/7 - 60276*a**2\/7 - 361710*a\/7 - 542592\/7 = 0. What is a?\nAnswer: -3, 30144","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*h + 209*h - 8 = -9*k - 4, -5*k - 11 = 3*h for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**2 - 134*r - 136 = 0.\nAnswer: -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63751, -127537, -191397, -255367, -319483, -383781, -448297?\nAnswer: -513067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/269 or 8\/609?\nAnswer: 8\/609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*x - 13952 + 74495. Suppose 14*j = -x + 52315. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -7*p - 2. Let z(l) = 48*l + 9. Calculate 27*x(c) + 4*z(c).\nAnswer: 3*c - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1643 - -1645. Let y(s) = -2*s + 3. Let r(h) = -3*h + 7. Give k*r(f) - 5*y(f).\nAnswer: 4*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4598265 and 140?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 46*r**2 + 30*r**2 - 149*r**2 + 0*r to m*r + f + a*r**2 and give a.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58 - 4083257?\nAnswer: -4083188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 8*q + 5. Does 13 divide a(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4\/(-10))\/((-45366)\/(-20)). Let v = j - -3157979\/7561. Let m = 422 - v. Sort 1, 3, m.\nAnswer: 1, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 6*k**2. Let x be a(6). Suppose -4*r + x*r = -o + 180, -2*o = 0. What are the prime factors of (-2040)\/r + 8\/(-6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 99 divide 171467703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/6 and -4\/443807?\nAnswer: 2662842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = 2*h + 2*j, 16 = 5*h + j. Suppose h*k = k + 99. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 14*x - 6. Let n be o(15). Suppose -4*q = -w + 3 + n, -w = -3*q - 9. Solve 0 = -5*i - w - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/20)*k*k**(11\/4)*k assuming k is positive.\nAnswer: k**(47\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((0 + sqrt(300)*-2)**2 - sqrt(300)).\nAnswer: -10*sqrt(3) + 1203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x**(2\/5))**(1\/5))**(2\/9))**(8\/5))**(-6) assuming x is positive.\nAnswer: x**(-64\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**15*r*r*(r**6\/r*r)\/r)\/(r**(-5)\/r**(5\/7)) assuming r is positive.\nAnswer: r**(-9\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -390 = 4*g - 5*f - 1055, 2*g + 2*f = 364. What is the greatest common factor of g and 10025?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 3)*(f + 2*f - 2*f) + 3*f + 0*f - 4*f + (f + 3*f - 6*f)*(-3 + 1 + 4) - f + 5*f - 6*f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/5 - 18865278*a\/5 = 0. What is a?\nAnswer: 0, 18865278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -3409*t**2 - 321. Let n(c) = c. Give l(n(u)).\nAnswer: -6818*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102 - 109) + 1 + -13 + -2 + 1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d*f - 4*d*v**3 + 69*d + 135*f*v**2 + 3*f*v + 25*f - 3998*v**3 + 3 wrt v.\nAnswer: -24*d*v + 270*f - 23988*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1760338*h**2*w + h**2 + 14*h*w - 3*h + 6551*w - 2 wrt h?\nAnswer: -3520676*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y + 2. Let q(i) = 4*i + 0 - 1 + 5. Let g = -5 + 9. Suppose -2*l + g = -0. Determine l*q(k) - 5*a(k).\nAnswer: -2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/4 - (-397)\/2. Suppose -q + 69 = 2*b - 8, -5*b - y = -2*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*j + 15 - 24 + 9 + 10*j.\nAnswer: 64*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 24348 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*y**2 + 2*y + 589.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 1)\/(3\/24*8). Suppose m + k = 134, -135 = -4*m + g*m - 2*k. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxu when three letters picked without replacement from {u: 2, t: 10, x: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - k**2 + k + 12. Let d be y(0). Let j = 37 - 52. Let o be (5 - 46\/10)*j\/(-3). Solve -3*v - o*n - 4 = 0, 3*v + d = -v + 4*n for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.022874 rounded to four decimal places?\nAnswer: -0.0229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 28 = u, -5*i + 5 = 2*u - 44. Let w(p) = 5*p**2 - 32*p - 26. Calculate w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lj when two letters picked without replacement from {j: 4, e: 4, n: 4, x: 5, l: 1, i: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wtw when three letters picked without replacement from twttttyawatttww?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -k**3\/3 - 3*k**2 - 7*k + 91. Let t(m) = -m**3 + 2*m**2 + 3*m - 6. Let y be t(3). Determine x(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 f when two letters picked without replacement from fgfgssgsss.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - 97) + -17 + 2?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 245 - 259 = 0. Let a be ((-214739)\/3)\/((-6)\/v). Let p = a - 803173. What is p rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 6*w + 5 + 0*w + 9*w - 13*w. What is u(-6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 376.\nAnswer: 5\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-1)\/7)\/(48*65\/414960)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pddd when four letters picked without replacement from dddpddpp?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 800371?\nAnswer: 800370.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -17*a**2 + 5*a**3 - 4*a**3 - 7*a + 0*a**3 + 24*a - 17. Let b be k(16). Let v(h) be the third derivative of h**4\/3 - h**2. Determine v(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*h = v + 22, -5*h = v + 7. Suppose 2*b - v*b + 4 = 0. Suppose b = d + 3. Which is greater: d or 3\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 1299, -1, -4 in decreasing order.\nAnswer: 1299, 13, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 258a24 (base 13) to base 12\nAnswer: 377667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 6:05 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 10:21 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*c + 290 + 267 = 293 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 111100 (base 2) to base 14\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -58? (a) -0.5 (b) -2\/5 (c) 0.4 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 13 + 5 = 5*p, -2*p + 15 = 3*z. Suppose m - l = 33, -3*m + p*l - l = -101. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 43*h - 836. Let a be v(30). Sort a, -5, 4, 3 in descending order.\nAnswer: 4, 3, -5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 63?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + sqrt(847))**2 - ((sqrt(847) + 1)**2 + -3).\nAnswer: 6 + 22*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + -10.5. Let h = -2.1 + o. Are -0.1 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from bbbbbbbbbbboo?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**2 + 910*c - 6. Let m(o) = 6*o**2 - 910*o + 5. Give 6*m(n) + 5*s(n).\nAnswer: n**2 - 910*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 162.69 to 0 dps.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -17741783?\nAnswer: 3\/17741783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h + 2*h - 3*h)*(0*h + 0*h - 2*h)*(-1 - 8 + 1) in the form o + i*h + l*h**2 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 0.1, 1.2 in ascending order.\nAnswer: -1\/2, 0.1, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllilggiiiqlgegl. What is prob of sequence igq?\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25952881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(171) + -2) + 1)**2.\nAnswer: -126*sqrt(19) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*q**3 - 551*q**3 + 397*q**2 + 437*q**2.\nAnswer: 86*q**3 + 834*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 2:49 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27837480.\nAnswer: 2, 3, 5, 11, 21089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/2)*d)**(-41)\/(d**4*d*d**5))\/((d**(2\/7)\/d)**17)**(-27) assuming d is positive.\nAnswer: d**(-6165\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314740, 314725, 314710, 314695?\nAnswer: 314680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p**(-2\/5))\/(p**7\/p*p)*p**(-5)*(p\/(p**(-2\/9)*p))\/p)**(1\/14))**(1\/17) assuming p is positive.\nAnswer: p**(-274\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k. Let i(d) = d**2 + 7*d. Give i(q) + 5*l(q).\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 84.2 + -78.67. Let y = 48.07 + c. Round y to the nearest integer.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 56*t - 58.\nAnswer: 2*(t - 1)*(t + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -120, -271, -516, -879, -1384, -2055?\nAnswer: -2916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 1, 3, 2.\nAnswer: -13, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -688, -691, -694?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101 (base 2) in base 9?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19509821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4613\/11388 - 9\/292. Let u = x + 887\/156. What is the common denominator of -97\/16 and u?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2570\/(-35) + 9\/21. Let d = y - -87. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12510610789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006569 to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 119\/2*l + l**2 - 1\/2*l**3 - 294 = 0.\nAnswer: -12, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 404\/7686 - (38\/(-14) + 3). Let p = 2\/183 + i. What is the smallest value in 1, -2\/3, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -3*h + g, -5*h = -4*g + 75 - 8 for h.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**3 - 3*u**2 - 10*u + 3. Suppose 0 = -4*d - 4*n, 51 = 2*d - 5*n + 23. Let w(c) = -2*c**3 - 4*c**2 - 11*c + 4. Determine d*g(p) - 3*w(p).\nAnswer: -2*p**3 - 7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1775667457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 7*f - 70. Solve -2*k = 3*o + 19, 4*k = f*k + 2*o + 31 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15.9 in 0.4, -3, 1\/4, -48, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -3*j - 8. Suppose 12 = j*d + 2*d. Solve 5*a - 19 = 2*i + 10, 0 = 4*i + d*a - 7 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 104610 (base 7) to base 5\nAnswer: 1042410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-4 - 0) - -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1289121486 by 6.\nAnswer: -214853581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 14*v - 657. Let u be x(47). Which is the second smallest value? (a) 4 (b) -1\/5 (c) u (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17588063 divided by 4.\nAnswer: 17588063\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 6:35 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3 + ((sqrt(1584)*2 + sqrt(1584))*6 + (sqrt(1584) - -1*(2*sqrt(1584))**2) + sqrt(1584) + 0)*3.\nAnswer: 720*sqrt(11) + 19008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 1067 = 5*f + 1035, 29*f = 174 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-45) - (-4)\/18. Let x = 1.07217 - 0.34217. Which is bigger: x or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 130289 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35274 is divided by 122.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes before 10:39 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 37 = -5*f, 3*o - 17 = 5*o + 5*f. Let q(c) = c + 11. Does 15 divide q(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -21, -24, -23, -18, -9, 4?\n\"Answer: 2*n**2 - 13*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7221609 to the nearest integer?\nAnswer: 2687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of 19\/60*t**6 + 0*t**5 + 0 - 20\/3*t**3 + 0*t**4 - 1\/210*t**7 - 3*t**2 + 4*t. What is the derivative of b(s) wrt s?\nAnswer: -4*s**3 + 114*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2. Let i(a) = a**3 - a**2 + 2*a - 1. Let n be i(1). Let k be n - c\/1 - 0. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 23. Suppose -1 = -l*x + 7. Suppose -22*y + 16 = -18*y. Solve y*q = 2*v - 4*v + 14, -2*q + 16 = x*v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7385945.\nAnswer: 5, 7, 41, 5147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 e, and 2 m when four letters picked without replacement from {z: 3, e: 1, d: 6, f: 2, m: 6, w: 2}?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1\/12814?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - 198936*x**4 - 41*x**3 - x**2 + 198942*x**4 in the form g + v*x + z*x**4 + m*x**2 + c*x**3 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 6) in base 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (50\/(-35))\/(372\/126 - 4\/6)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5632850 and 150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6076 divided by 233?\nAnswer: -6076\/233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30 - -52. Suppose r = -7 + k. What is the remainder when 28 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1152 divided by -64.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes after 2:24 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.67? (a) 0.38 (b) 2\/25 (c) 5.81\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2268640?\nAnswer: 2, 5, 11, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 5228 = -860. Let h = u - -60. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -4*q + 10. Solve -q*w + 15 = 5*l, -5 - 7 = -5*l - 4*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(4 + 4 + -4 + (sqrt(2448) - (((sqrt(2448) - (sqrt(2448) - -2*sqrt(2448))) + sqrt(2448))**2 + 0)) + -4).\nAnswer: -72*sqrt(17) + 14690","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence st when two letters picked without replacement from {g: 3, s: 4, t: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/((-42)\/(-88)) - 18\/63. Suppose -4*u = 4*d + 4, -u - n - 1 = -d. Solve -1 - 6*v - 4 - 3*v**4 - 4 + 5*v**3 + 12*v**2 + v**d = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**2 + 19*z - 24. Give j(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 8:11 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/10*(-11)\/((-165)\/10).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j + 81*j = 7*j + 297. Solve j*f - f - 3*w - 11 = 0, 3*w = -2*f - 7 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225535 + -461?\nAnswer: -226326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-1))\/(28574\/157)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1042 (base 5) in base 16?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12634*4.\nAnswer: 50536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c + 283713 - 141852 - 141861.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}